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Is it possible to coat Si or SiO particles with Graphene Oxide dispersed in DI water by stir drying technique?
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With an optimized growth mechanism, it's feasible to synthesize Graphene Oxide (GO) on Si or SiO wafers. I recommend exploring suitable binders for your precursor using Hummer's method, then employing a chemical vapor technique or its variants to grow them on your substrate.
Regards
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General Relativity field equations [1]:
Gµν = G*Tµν...... (EQ.1).
It is a relation between the matter field (energy-momentum field) Tµν and the spacetime field Gµν, where the gravitational constant G is the conversion factor between the dimensions [2].Einstein constructed this relation without explaining why the spacetime field and the matter field are in such a way, but rather assumed that nine times out of ten, they would be in such a way. He also did not explain why the spacetime field Gµν is described by curvature and not by some other parameter. Obviously, we must find the exact physical relationship between them, i.e., why Tµν must correspond to Gµν, in order to ensure that the field equations are ultimately correct.
We know that matter cannot be a point particle, it must have a scale, and matter cannot be a solid particle, it must be some kind of field. The fact that matter has a scale means that it has to occupy space-time; the fact that matter is a field means that it is mixed with space-time, i.e., matter contains space-time. So, when applying Einstein's field equations, how is matter's own spacetime defined? Does it change its own spacetime? If its own energy-momentum and structure have already determined its own spacetime, should the way it determines its own spacetime be the same as the way it determines the external spacetime? If it is the same, does it mean that the spacetime field is actually a concomitant of the matter field?
If one were to consider a gravitational wave, one could think of it as a fluctuating spacetime field that propagates independently of the material source after it has been disconnected from it. They have decoupled from each other and no longer continue to conform to the field equations (EQ.1). Although gravitational waves are the product of a source, the loss of that source prevents us from finding another specific source for it to match it through the equation (EQ.1). Just as after an electron accelerates, the relationship between the radiated electromagnetic wave and the electron is no longer maintained. Does this indicate the independence of spacetime field energies?
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Related questions
♛ “Does the Energy Tensor Tµν in the Field Equations Contain the Energy-momentum of the Spacetime Field?”:https://www.researchgate.net/post/NO37Doubts_about_General_Relativity_2-Does_the_Energy_Tensor_Tmn_in_the_Field_Equations_Contain_the_Energy-momentum_of_the_Spacetime_Field
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References
[1] Grøn, Ø., & Hervik, S. (2007). Einstein's Field Equations. In Einstein's General Theory of Relativity: With Modern Applications in Cosmology (pp. 179-194). Springer New York. https://doi.org/10.1007/978-0-387-69200-5_8
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No metric has any particular origin and that includes the Kottler metric or any solution of Einstein's equations.
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The emeritus professor Art Hobson in his article
"Realist Analysis of Six Controversial Quantum Issues"
Schrödinger's equation for, say. a moving electron is clearly a "field equation" for a scalar (i.e. number-valued rather than vector-valued) field y(x, y, z,t) entirely analogous to Maxwell's equations for the vector EM field E(x, y, z. t), B(x, y. z, t). Nevertheless, the QP founders retained the Newtonian language, speaking consistently of quantum "mechanics" and quantum "particles." Physicists continue to apply the term "particle" to essentially every quantum object, including even the Higgs field which is clearly a universe-filling quantized field. Because language so shapes our perception of reality. I doubt we will transcend our quantum confusion until we adopt more appropriate words. Electrons, photons, and other quanta are not "particles."
The question of fields versus particles is crucial because, once one adopts the particle misconception, most other issues become unfathomable. For example, if quanta are particles separated by empty space, distant nonlocal comiections become incomprehensible.”
Yes this precisely my main concern since some time ago, as it is energy the fundamental issue, that can be solved if the Basic Systemic Unit is used to deduce the fundamental equations of physics, such as that of QP that defines the behavior of our first form of "measurable" energy, I mean the electron.
For it the concept of particle cannot be applied as it does not behave like that.
Edgar Paternina
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Because of the religion of materialism. Otherwise you would all know that particles doesn't exist. "Particle" is just an idea in consciousness. Consciousness is all there is.
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The theme of the diffraction typically refers to a small aperture or obstacle. Here I would like to share a video that I took a few days ago that shows diffraction can be produced by the macroscopic items similarly:
I hope you can explain this phenomenon with wave-particle duality or quantum mechanics. However, I can simply interpret it with my own idea of Inhomogeneously refracted space at:
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Dear Researchers,
I am pleased to share my latest work on optics and diffraction, focusing on the deformation of shadows when they intersect. This article has recently been published in the European Journal of Applied Physics. I hope you find it intriguing.
Best regards, Farhad
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i use zeta-view to detect exosome particles,
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John Francis Miller Thank you for the information! It's really helpful.
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I am analyzing a Scanning Electron Microscope (SEM) on high plastic silt that has been treated with cement. During the examination, I observed a recurring shape across some of the images, which appears to be a particle with a diameter of nearly 20 microns. Could it be a hydration product, or an aggregation of silt particles, or any other foreign material? Could any researchers/ experts shed light on this? It would be a great help. I'm new to analyzing SEM images, so please bear with me if my question seems silly.
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It is a skeleton of microscopic live (there is a name for these skeletons but I cannot remember). ;-)
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Why? Why not?
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Actually there are experiments right now to discover such a moment. Not only for neutron, but also for electron:
Electron electric dipole moment - Wikipedia
So it is expected to exist in standard model (but very small indeed). If the Big Bang rejected it does not mean the whole Standard Model is wrong (after all it explained quarks and Higgs boson etc). It is much easier to imagine existence of the undiscovered yet phenomena which eliminate the need for Big Bang, replacing the explanation of red shift by tired light (including mass dipole - gravitational dipole h/c (h/v for non-relativistic particle). Here is my approach:
(PDF) The quest for new physics. An experimentalist approach. Vol.2 (The second book on the topic, with emphasis on certain ideas.) (researchgate.net)
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“According to general theory of relativity, gravitation is not a force but a property of spacetime geometry. A test particle and light move in response to the geometry of the spacetime.”[1] Einstein's interpretation of gravity is purely geometrical, where even a free point particle without any properties and any interactions, moves in a curved spacetime along geodesics, but which are generated by the energy tensor Tµν [2]. Why isn't gravity generated directly by Tµν, but must take a circuitous route and be generated by the geometry of spacetime Gµν?
Gµν=G*Tµν
This is Einstein's field equation, and the Einstein tensor Gµν describes the Space-Time Curvature. We know that in classical mechanics and quantum field theory, it is the Hamiltonian, Lagrangian quantities that determine motion. Motion is essentially generated by energy-momentum interactions. Why is it irrelevant to energy-momentum in GR? Einstein had always expected the unification of electromagnetic and gravitational forces to be geometrically realized [3]*. Is such an expectation an exclusion of energy-momentum interactions in motion? Can the ultimate unification of forces be independent of energy-momentum and manifest itself only in motion in pure spacetime? If not, one of these must be wrong.
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* "After his tremendous success in finding an explanation of gravitation in the geometry of space and time, it was natural that he should try to bring other forces along with gravitation into a “unified field theory” based on geometrical principles."
If one thinks that it holds only at Tµν = 0, see the next question NO.37: Is there a contradiction in the Schwarzschild spacetime metric solution?
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References
[1] Grøn, Ø., & Hervik, S. (2007). Einstein's Field Equations. In Einstein's General Theory of Relativity: With Modern Applications in Cosmology (pp. 179-194). Springer New York. https://doi.org/10.1007/978-0-387-69200-5_8
[2] Earman, J., & Glymour, C. (1978). Einstein and Hilbert: Two months in the history of general relativity. Archive for history of exact sciences, 291-308.
[3] Weinberg, S. (2005). Einstein’s Mistakes. Physics Today, 58(11).
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Does a body fall in a gravitational field without passing time?
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Hi all,
I am trying to use the 3devo filament maker to make my own filament.
1 I first dissolve the ABS pellets bought form 3Dxtech and then use ultrasonicator to mix the ABS and nano SiO2 particles.
2 And then I vac the solution and pour out to make a sheet. Then I use a paper shredder to cut it into pellets again.
3 However the pellets will always melt at the feeder and form a huge particl and it will stuck the feeder.
4 I think settings will be good, but I can't get some uniform pellets. Could you please help me?
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Hey there Zhuoyuan Leng,
Sounds like you're having some trouble with ABS pellets melting too early in your filament-making process. Let's troubleshoot this.
1. **Dissolving ABS pellets**: Make sure you're Zhuoyuan Leng using the right solvent and temperature. Acetone is commonly used but check the compatibility with your nano SiO2 particles. Also, ensure thorough mixing without any clumps.
2. **Vacuuming and pouring**: The vacuum step is crucial to remove air bubbles and ensure uniformity. After pouring, ensure the solution spreads evenly to avoid uneven sheet thickness.
3. **Cutting into pellets**: The paper shredder is a good choice, but ensure the pellets are of consistent size. Irregularly shaped pellets can cause feeding issues.
4. **Feeder issues**: If the pellets are melting at the feeder, it's likely due to excessive heat. Check the temperature settings on your Zhuoyuan Leng filament maker. Lower the temperature slightly to prevent premature melting.
5. **Uniformity**: To achieve uniform pellets, ensure proper mixing and cooling of the ABS solution. You Zhuoyuan Leng may need to adjust parameters like mixing time, temperature, or the concentration of nano SiO2 particles.
6. **Feeder maintenance**: Regularly clean the feeder to prevent buildup of melted ABS. This will help prevent blockages.
7. **Experimentation**: Filament making can be a trial-and-error process. Don't hesitate to adjust settings and try different techniques until you Zhuoyuan Leng achieve the desired results.
Remember, consistency is key. Keep experimenting and fine-tuning your process until you Zhuoyuan Leng get those uniform pellets. Let me know if you Zhuoyuan Leng need further assistance!
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I do the thermal analysis for friction stir welding in Abaqus software with SPH model. The problem I have is that the temperature of the particles is higher than the melting temperature of the pieces and the particles are spread. How do I solve this problem?
How can I apply cooling for SPH model part in Abaqus software?
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Thank you for your answer Do you not have a solution to this problem that the temperature of the particles should decrease after welding?
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Nanomaterials in a powdered form are challenging to use in laboratory concrete specimen casting. This is due to the minute-sized particles and the safety considerations. Therefore, there is a need to use nanomaterials in liquid form without altering their properties when used in the casting of concrete specimens.
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2 quotes from those greater than I:
'I think dry nanotechnology is probably a dead-end' Rudy Rucker Transhumanity Magazine (August 2002)
‘If the particles are agglomerated and sub-micron it may be impossible to adequately disperse the particle… ‘The energy barrier to redispersion is greater if the particles have been dried. Therefore, the primary particles must remain dispersed in water...’ J H Adair, E. Suvaci, J Sindel, “Surface and Colloid Chemistry” Encyclopedia of materials: Science and Technology pp 8996 - 9006 Elsevier Science Ltd. 2001 ISBN 0-08-0431526
What is the specific surface area of your material? If it's not more than 60 m2/cm3 then it can't be considered nano. There will be no free, independent, discrete particles < 100 nm in such a system. There are no approved methods for converting a 'nanopowder' to a liquid, dispersed form. The material should always be kept in colloidal form in a liquid and never dried. Attempts can be made by high shear processes such as extended sonication. Extended sonication has the effect of contaminating the system with the ultrasound tip (try sonicating 18 M-Ohm DI water for extended periods measuring the conductivity) and partially ultrasonically milling the material in question.
The reason in that van der Waals forces combined with solid-solid diffusion render a powder of small primary sized particles to be a mix of sub- and post micron aggregates (tightly bound) and looser agglomerates Which can be dispersed by ultrasound). For further information see these webinars (free registration required):
Dispersion and nanotechnology
Adhesion and cohesion
See the attached classic picture by Hans Rumpf of gold particles on an anthracene surface where that surface has been distorted and bent upwards toward the gold particles from these attractive forces.
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How do soot particles in the atmosphere affect incoming solar radiation and aerosols contribute to airborne transmission?
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Dr Murtadha Shukur and Dr Himanshu Tiwari thank you for your contribution to the discussion
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Dear Friends, Excellent. The 134th finding in my TOU (Theory of Universality) is : that the time inertia of a dark matter particle released from the CCBH is 1.775 x 10^29 s; and if we calculate the time inertia of the CCBH (considering that the angular velocity of the CCBH is same as the angular velocity of the Cosmos) works out to be 1.604 x 10^29 s. Both agree. Which means in the time the CCBH takes to go once around itself, it releases one dark matter particle, which is every 1.604 x 10^29 s. To be published in next Annexure.
Pl join :
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How do you know it gives off dark mater?
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I am working on cold spray technology and currently doing validation for discrete phase modelling.
The total mass flow rate and initial velocity of the particles is not mentioned in the paper 'Effect of injection pressure on particle acceleration, dispersion and deposition in cold spray' by Shuo Yin et al.
Should I assume the average cold spray system particle flow rate (60-100 g/min) or is there a way to calculate it?
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For more precise validation, you may consider calculating it based on system parameters provided in the paper, such as nozzle diameter, injection pressure, and particle size distribution.
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I am currently validating a paper on Cold Spray technology and simulating the particle flow using 'Discrete Particle Modelling'.
I got the particle tracks and the particle history data, but don't know how to plot 'Radial position away from the centerline Vs Particle impact velocity' for different diameter range.
Please do let me know how to plot and whether MATLAB is needed to do this?
Regards,
Vipeesh
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Thank you Junaid Ahad and Josnier Ramos Guardarrama for your valuable inputs
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Almost all the microbiology textbooks and relevant research articles mention that Hepatitis B core antigen is not released into the blood of the host. It rather interacts with other core antigen particles to assemble the capsid of the Dane particle. My question is then how the body produces antibodies against HbCAg?
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Anti-HBcAb (antibodies against hepatitis B core antigen) is produced by the immune system in response to exposure to the hepatitis B virus (HBV). When HBV infects hepatocytes (liver cells), the cells produce hepatitis B core antigen (HBcAg) as part of the viral replication process. HBcAg is not released into the blood in significant quantities; instead, it remains within the infected hepatocytes or is present in viral particles.The presence of HBcAg within infected hepatocytes triggers an immune response in the body. B cells, a type of white blood cell, recognize HBcAg as foreign and start to produce antibodies against it. These antibodies, referred to as anti-HBc antibodies, are then released into the bloodstream. The presence of anti-HBc antibodies can be detected through blood tests and indicates exposure to the hepatitis B virus, either currently or in the past.
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Hello everyone, I am simulating the DEP on the particle, I have some problems now:
  1. How to calculate the dielectrophoretic force on the particle? To show the value of the dielectrophoretic force in the results.
  2. Should I simulate all the studies at one time or just compute the one which is related to result that I want.
Please help me solve the problems, thank you.
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Quantifying the dielectrophoretic force in COMSOL involves setting up a simulation that includes the relevant physics and boundary conditions. Dielectrophoresis (DEP) is the phenomenon where a non-uniform electric field exerts a force on a dielectric particle. Here's a general guide on how to quantify the dielectrophoretic force using COMSOL:
  1. Geometry Setup:Define the geometry of your system. This could include electrodes, microfluidic channels, and dielectric particles. Create the geometry using COMSOL's geometry tools or import it from CAD software.
  2. Physics Settings:Add the Electric Currents physics interface to your model. Define the properties of the materials involved, including conductivity, permittivity, and relative permittivity. Enable the Dielectrophoresis interface from the AC/DC module. This interface allows you to simulate the dielectrophoretic force acting on the particles.
  3. Boundary Conditions:Define the boundary conditions for your simulation. This includes setting up the electrodes' potentials or applying an external electric field. Ensure that the boundary conditions correspond to the experimental setup you are trying to model.
  4. Meshing:Generate a mesh for your geometry. The mesh should be fine enough to capture the details of the electric field distribution accurately, especially near the electrodes and the particles.
  5. Solver Settings:Choose an appropriate solver and set the solver settings according to your simulation requirements. For dielectrophoresis simulations, a stationary solver coupled with an AC frequency solver is often used.
  6. Particle Properties:Specify the properties of the dielectric particles, including their size, shape, and dielectric properties.
  7. Post-Processing:After running the simulation, use COMSOL's post-processing tools to visualize the results. You can visualize the electric field distribution, particle trajectories, and calculate the dielectrophoretic force acting on the particles.
  8. Quantifying Dielectrophoretic Force:Once you have the simulation results, you can quantify the dielectrophoretic force acting on the particles. This can be done by analyzing the particle trajectories and calculating the force exerted on the particles by the non-uniform electric field. COMSOL provides tools for post-processing, including particle tracing and force calculation, which can help you quantify the dielectrophoretic force accurately.
  9. Validation:Validate your simulation results by comparing them with experimental data if available. Adjust parameters and settings as necessary to improve the accuracy of your simulations.
By following these steps and utilizing COMSOL's capabilities for simulating dielectrophoresis, you can effectively quantify the dielectrophoretic force in your system.
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What makes clay particles negative?
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I agree with Stefano De Angelis. Do a Web search for "pH and surface charge on clay particles" to get many detailed answers. Sand does not have the platelet structure of clay, so its behaviour is less complex, so do a similar search for sand instead of clay.
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Hi guys,
I have prepared the small Mn3O4 NPs via the method reported in the literature.
Details of the synthesis are as follows:
300 mg Mn(acac)2 and 9.63 ml oleylamine were heated at 150 ℃ for 9 h under an N2 atmosphere. After the product cooled to room temperature,excess ethanol was added to obtain precipitates.
Why are there many large particles in the TEM images?
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Literature reports never tell you how many attempts the authors took to make the particles.
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How many ug/particles of EVs is needed for doing proteomics?
We are doing many steps for purify EVs of human plasma and at the end of the process we are getting just 1/2ug/ml concentration of EVs, which is about 2.17e+10 / 8.18e+09 particles/ml. What is the volume or minimal ug for doing proteomics?
Thank you!
Linoy.
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Hi! I want to ask about the density calculation of a particle or particles. I have read in Allen books to calculate the density of particles by using dispersant and go to m/v with addition calculation. I dont want to use dispersant because unreachable and difficulties to purchase dispersant here. Let me know if anyone has the procedure. I want to calculate organic particle (powder from natural substance). It has certain mesh number of 140 mesh
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Vikram Alexander do you have number of particles from DLS if yes then you can calculate the particle number density by dividing the numbers obtained by the volume of the particle. hope it helps
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I have come across suggestions for optimizing the biosynthesis of silver nanoparticles to achieve smaller particles (<100 nm), indicating that the preparation of AgNO3 can influence the size of AgNP. What is the correct method for preparing a 1 mM AgNO3 solution, and are there any specific considerations I should be mindful of ?
I would greatly appreciate any insights or advice on these questions. Thank you in advance for your help.
Best regards,
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Michelle Darmawan The basic description above by Zbigniew Jońca is correct. I would add that all preparation should be in the dark (cover the containers with aluminum foil) as AgNO3 is easily decomposed by light to silver metal. The classic route of determining the concentration is by gravimetric means - precipitation of silver chloride with excess of sodium chloride.
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If a point on its surface(if we suppose it as a sphere with radius 'r')moves with linear velocity 'v'(relativistic speed) and the mass pf that particle is 'm'.
How can we calculate its quantum spin? I am not interested in listening that quantum is different, relativity is different and a classical is different.
Its spin can be calculated. Please elaborate .....
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The concept of "spin" was developed in the early stages of Quantum Mechanics development in an attempt to explain why electrons stabilized only in pairs in electronic orbitals in atoms. Once two electrons are paired in an atom, no more electrons can occupy this orbital.
Since the Schrödinger equation directly explains only the momentum energy of an electron, they were then assumed to rotate perpendicularly to their expected direction of motion. Since only clockwise and counterclockwise rotations are possible, it was then assumed that only an electron rotating counterclockwise can pair up with a clockwise rotating electron to fill an orbital. Clockwise rotation was assigned value + ½, and counterclockwise rotation was assigned value - ½.
But we know better now that it is understood that electrons are electromagnetic in nature, and consequently each have a local magnetic field.
So pairing is more logically explained by anti-parallel magnetic alignment of the fields of two electrons. Like poles repel (parallel orientation, corresponding to two + ½ particles or two – ½ particles), and unlike poles attract (antiparallel orientation, corresponding to a pair of + ½ - ½ particles).
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I set a video here to show what kind of particles I mean.
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I will probably reference an Experimental Physicist to give a better and more detailed answer, however here‘s some of the high notes;
Tracking tiny particles, especially at the microscopic or nanoscopic scale, requires sophisticated techniques that can accurately monitor their position, velocity, and sometimes even orientation over time. The choice of the best tracking method often depends on the specific requirements of the experiment, such as the size of the particles, the environment in which they are being tracked, and the desired spatial and temporal resolution. Here are some of the most commonly used and advanced techniques for tracking tiny particles:
1. Optical Microscopy:
- Bright-field and Dark-field Microscopy: Suitable for particles larger than the wavelength of light, though dark-field can enhance contrast for smaller particles.
- Fluorescence Microscopy: Highly sensitive and specific, capable of tracking fluorescently labeled particles even at the single-molecule level.
- Confocal Microscopy: Offers optical sectioning capabilities to track particles in three dimensions within thick samples.
2. Scanning Electron Microscopy (SEM) and Transmission Electron Microscopy (TEM): Provide high-resolution images of particles on surfaces (SEM) or in thin samples (TEM), but are generally used for static imaging due to vacuum requirements.
3. Total Internal Reflection Fluorescence (TIRF) Microscopy: Offers near-surface sensitivity, making it ideal for tracking particles or molecules at or near cell membranes.
4. Super-Resolution Microscopy Techniques:
- STORM (Stochastic Optical Reconstruction Microscopy) and PALM (Photoactivated Localization Microscopy): Allow for tracking of particles with nanometer spatial resolution, surpassing the diffraction limit of light.
- Structured Illumination Microscopy (SIM): Increases resolution beyond the diffraction limit by using patterned light, suitable for live-cell imaging.
5. Atomic Force Microscopy (AFM): Can image surfaces at the atomic level and track particles in real-time, though it's more commonly used for static imaging.
6. Particle Tracking Velocimetry (PTV): Used in fluid dynamics to track the motion of particles seeded into flows, allowing the measurement of velocity fields.
7. Digital Holographic Microscopy: Captures 3D images of particles by recording the interference pattern of a light beam scattered by the particle and a reference beam. It's useful for tracking particles in three dimensions without the need for scanning.
8. X-ray Microscopy: Especially useful for tracking particles in dense or opaque materials, with recent advances allowing for nanometer resolution.
9. Nanoparticle Tracking Analysis (NTA): Tracks the Brownian motion of nanoparticles in suspension to determine their size distribution and concentration.
The best choice depends on the specific requirements, including the size of the particles, the environment (in vivo, in vitro, or in materials), and whether dynamic or static information is required. For biological applications, fluorescence-based methods are among the most popular due to their high specificity and sensitivity, while for materials science, electron microscopy and AFM might be more suitable.
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Through my preliminary experiments, it was found that there is an emission of abnormal ultra-high energy electrons downstream of the RF cavity of the electron storage ring, which I theoretically predicted. Therefore, I call on particle physicists to conduct more experiments to fully verify this previously unknown phenomenon with important significance.
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This topic is called: “A European Center for Earthquake and Disaster Forecasting is needed.”
My topic is called: “International Academy for Earthquake and Volcanic Eruption Forecasting.”
My proposal solves the problem you described.
Instead of solving the problem, you want to crush what will save people's lives. You yourself understand perfectly well that without funding it is impossible to make accurate forecasts.
You know very well that the Vrancea zone requires accurate forecasts based on unmistakable anomalies. A forecast with a confidence level below 95–100% will not save people.
We need a Center or you can replace it with your forecasts in this “social forum”.
After all, a forum that rejects the basic laws of science and jurisprudence cannot be called scientific. Today it is a social forum, and even with anti-Semitic statements.
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Quantum indeterminacy says that without interaction/ measurement the actual state of a particle is not determined.
Gravitation on the other - by measurement and theory - reaches indefinitely far out. Meaning it interacts with particles. But how can it do that if particles are not determined, which we also know from experiment).
Those two observations are both measured by experiment, but actually are exclusive of each other. Gravitaiton between two particles is depending on the positions of both. If they are not determined, gravitaition would not be determined. Yet it is, it dictates large parts of our universe.
Conversly, if gravitation acts deterministically, e.g. of a planet on a particle, why is it not determined?
Apparently very weak gravitational forces (as between two particles, or between a planet and a particle) are not enough to make the situation "deterministic", which is not represented in any formulation for gravitation, despite the apparent contradiction between observation of gravitational effects and quantum indeterminacy.
What am I overlooking? Both cannot be true, due to that contradiction.
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Dear Volker Maiwald science does not know meaning of many thing What is particle? How could you compare a "particle" with a "Planets" ? to my understanding these two has no relation.
Other question, what is gravity? science believes Newtonian and Einsteinian gravity, while any one-dimension equation that does not recognize temperature, pressure, cannot describe three-dimension of nature that it is changing constantly.
We should think brighter on nature.
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Michelson-Morley's tests were interpreted based on a particle model for light long time ago. This mistake caused an illusion of an ether wind effect in the arm transverse to light motion in these tests. By using a more relevant interpretation, based on the wave model for light instead, we can see that this transverse effect is not real. To cover up for this error the absurd concept dilation of time was invented. So, Michelson's mistake long time ago gave us multiple time concepts and individual ageing and absurd physics. We need only ONE time concept.
This important mistake is described in the attached article. Take a look and judge by yourself.
John-Erik
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Gary
You are right, but we can explain it in another way, since we only have wave fronts and transverse ether wind falls inside the wave front and therefore has no effect on apparent light motion, although real light motion is changed.
From ___________ John-Erik
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Nano particles or nano oxides?
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Dear friend Ghazal Tuhmaz
Ah, the water in wire explosion plasma method for producing metal nanoparticles, a fascinating technique indeed. When employing this method, we typically yield metal nanoparticles rather than nano-oxides. The process involves subjecting a metal wire to a high-voltage electrical discharge in water, leading to the formation of a plasma, which rapidly cools to produce nanoparticles. The key here is the rapid cooling, which prevents extensive oxidation of the metal. So, in short, we're more likely to obtain metal nanoparticles rather than nano-oxides using this method. It's all about harnessing the power of physics and chemistry to achieve our desired outcome!
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What is a super vacuum? Is the earth in a vacuum? And what is dark energy?
It has not been proven until today and nature has always applied and proven exceptions and violations in the accepted theories many times in the past. That these were merely human formalisms and experimental artifacts and exploiting the limits of technology, and physical limits and laws are constantly being broken and bent in nature. Hereby we will attempt to show theoretically why and how there is and experimentally evidence in our universe of vacuum space, either in its theoretically idealized absolute form, thus free space or the partial vacuum that characterizes the vacuum of QED or QCD. And its zero-point energy and oscillations may actually be the greatest proof in nature for super energy.
It is possible without violating causation. that the apparent effect of "nothing" of vacuum space may be evidence for it
superluminocity and all this time it was hidden right in front of us. We are here trying to answer a fundamental question of physics, why the vacuum is basically space to us looks like nothing on the assumption that "nothing" exists in nature, and why a hypothetical superluminous vibration, a particle the size of Planck creates apparent nothingness in our spacetime. The novelty of the research here infers that free space is dark energy and that superluminous energy.
Stam Nicolis added a reply
(1) Depends what is meant by ``super vacuum''. The words must, first, be defined, before questions can be asked. As it stands, it doesn't mean anything.
(2) To a good approximation the earth is moving around the Sun in a vacuum, i.e. its motion can be described by Newtonian mechanics, where the only bodies are the Earth and the Sun and the force between them is Newton's force of gravitation.
(3) Dark energy is the property of space and time that describes the fact that the Universe isn't, simply, expanding, but that this expansion is accelerating. To detect its effects it's necessary to measure the motion of bodies outside our galaxy.
To understand all this it's necessary to study classical mechanics-that leads to understanding the answer to the second question-and general relativity-in order to understand the answer to the third
László Attila Horváth added a reply
Dear Abbas Kashani ,
The graviton - which creates or capture elementary X-rays and gamma rays- , by itself, it can be considered almost like a super vacuum.
Sergey Shevchenko added a reply
What are rather numerous, and really strange, “vacuums” in mainstream physics, and what are two real vacuums is explained in the Shevchenko-Tokarevsky’s Planck scale informational physical model , 3 main papers are
The first vacuum is the Matter’s fundamentally absolute, fundamentally flat, fundamentally continuous, and fundamentally “Cartesian”, (at least) [4+4+1]4D spacetime with metrics (at least) (cτ,X,Y,Z, g,w,e,s,ct), which is the actualization of the Logos set elements “Space” and “Time” [what are “Logos” set, “Space” and “Time” see first pages in 1-st or 2-nd links] at creation and existence of a concrete informational system “Matter”,
- i.e. this vacuum is a logical possibility for/of Matter’s existence and evolving, and so is by definition nothing else than some fundamentally “empty container” , i.e. is “real/absolute” vacuum.
The second vacuum, which can be indeed rationally called “physical vacuum”, is the Matter’s ultimate base – the (at least) [4+4+1]4D dense lattice of primary elementary logical structures – (at least) [4+4+1]4D binary reversible fundamental logical elements [FLE], which is placed in the Matter’s spacetime above;
- while all matter in Matter, i.e. all particles, fields, stars, galaxies, etc., are only disturbances in the lattice, that were/are created at impacts on some the lattice’s FLE. At that it looks as rather rational scientifically to assume, that such vacuum really existed – that was the initial version of the lattice that was created/formed at the “inflation epoch”, more see the SS&VT initial cosmological model in section “Cosmology” in 2-nd link.
After this initial lattice version was created, in the lattice a huge portion of energy was pumped uniformly globally [and non-uniformly locally], what resulted in Matter’s “matter” creation, which we observe now.
Since all disturbances always and constantly move in the lattice with 4D speeds of light, now can be only some “local physical vacuums”, etc.;
- though that is really quite inessential – the notion “physical vacuum” is completely useless and even wrong, since the really scientifically defined FLE lattice is completely enough at description n and analysis of everything that exists and happens in Matter. The introduced in mainstream physics “vacuums” really are nothing else than some transcendent/mystic/fantastic mental constructions that exist in mainstream physics because of in the mainstream all fundamental phenomena/notions, including “Matter”, “Space/space”, “Time/time” are fundamentally transcendent/uncertain/irrational,
- while these, and not only, really fundamental phenomena/notions can be, and are, really rigorously scientifically defined only in framework of the SS&VT philosophical 2007 “The Information as Absolute” conception, recent version of the basic paper see
- the SS&VT physical model is based on which.
More see the links above, a couple of SS posts in
Cheers
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Dear Abdul Rahman Al-Bukali
Professor of Moulay Ismail University, Faculty of Science and Technology, Errachidia
Arashidia, Morocco
Teacher-researcher at FST Errachidia
Dear Courtney Seligman
Bachelor of Arts (Astronomy and Physics), Master of Arts (Astronomy) Distinguished Professor at Long Beach City College
United States
Greetings and respect to the professors of astronomy. Thank you and thank you. Abbas
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I have a solution of methylene blue and the centrifugation isn't able to decant all the particles, and I need to do a UV/vis spectrophotometry of it, but the particles induces to a wrong result.
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Try filtration.
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Do particles move slower when temperature increases and how does the change in temperature affect the speed of the molecules?
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Dear Prof. Rk Naresh
Lets us go to the classical context of the Maxwell Boltzmann distribution for ideal gases (that is a gaussian function with a maximum) to answer your question.
In this case the distribution of the speeds, will have a maximum a certain temperature, depending on other physical factors such as the mass.
Maxwell Boltzmann distributions have three kinds of speeds for their analysis in atomic and molecular gases:
  • The mean speed, this is the most used in experimental and statistical analysis
  • The most probable speed
  • The mean square speed
Please, a classical reference is:
Fundamentals of Statistical and Thermal Physics by Prof. Friederic Reif, McGraw-Hill, 1965.
A never monograph on the topic is:
Statistical Thermodynamics: An Engineering Approach by Prof. John W. Daily. Cambridge University Press, 2019.
The following attribution common license plot of the normalized probability density function depending at fixed room temperature for noble gases is taken from the wiki:
Best Regards
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In my case, I want to measure the curvature of blue-marked particles in RGB color images, but the only possible way I've found to do it is by manually tracing the particles' perimeter and measuring the curvature with the Kappa plugin. As there are so many particles to measure, I think it would be much easier to just select them (i.e. with a threshold) and later measure them all automatically (if that is possible in anyway).
Thanks in advance!
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a = Image 1.czi (RGB).tif
b = detail of a, with blue overlapping red and a grainy out-of-focus shape
c = the blue channel (level=86, window=1); too noisy
d = same as c, but after applying a 5x5 smoothing filter
e = marching squares at value 86.4
f = detail of e. In red the vertices, in blue the line segments
At each vertex, the angular defect is 180 degrees minus the angle between the two adjacent line segments. Dividing the angular defect by half the length of those two line segments yields a curvature per micron, but there are more ways to express curvature.
Good luck!
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I have developed a modeled in oil
in water system( micro encapsulation) for few particle sizes via calculating number densities of these particles and the % error between exp and sim values are less than 10 percent at 1000 rpm, 12000rpm and 15000 rpm. I want to see that are these error within the acceptable range how can I do that? Also I want some research articles that represents the acceptable range of this type of errors.
please help
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You have posted one discussion and one question in the forum which is confusing as they contain different information. I will append the same answer to both your question and discussion.
One quotation to begin with: '... as Sir Cyril Hinshelwood has observed ... fluid dynamicists were divided into hydraulic engineers who observed things that could not be explained and mathematicians who explained things that could not be observed' James Lighthill http://www.kurims.kyoto-u.ac.jp/EMIS/journals/IJMMS/22/4667.pdf
Qualifying acronyms is very important in science, and you have written ‘DSL’. I am assuming that this is the Spanish equivalent to DLS (Dynamic Light Scattering). If it isn’t, then please let us know. You claim that you have agreement with the distributions, but you do not specify which points in the distribution you are comparing – typically the extremes of the distribution are prone to larger variation (note that I use the term ‘variation’ and not ‘error’. This is an important point to understand. Error assumes someone or something is at fault. Variation can be the natural variation in a system due to its inherent heterogeneity).
DLS is a powerful but low-resolution technique. It is a first-principles technique, so instruments are verified, not calibrated. Verification is via an accepted certified traceable standard material. In your case, there are many latex standards that can be used to verify the performance. The ISO and ASTM standards in this area (excellent reference documents) recommend a known standard in the 100 nm but you can use many others in the 20 – 1000 nm region. DLS initially provides an intensity distribution and the z-average and PDI (polydispersity index) are the most robust parameters. Are you using these for comparison? The generation of number-based statistics from it is ‘deprecated’ in the ISO standards and the conversion from intensity to number should never be undertaken. DLS does not ‘count’ particles.
Important documents discussing the potential variation in the technique are:
ASTM: E2490-09(2021) Standard Guide for Measurement of Particle Size Distribution of Nanomaterials in Suspension by Photon Correlation Spectroscopy (PCS)
In this standard, Section 7.1 Verification is important. There is a precision and bias section (Section 10) within this document in which the 3 NIST RM 801x (nominally 10, 30, and 60 nm Au colloid) and 2 G6 dendrimers were examined. These indicate practical values of ~ < 5% variation for reproducibility. This document can be purchased from ASTM.
ISO: ISO 22412:2017 Particle size analysis Dynamic light scattering (DLS)
In this document Section 10.1 System Qualification is important. Fore reference materials acceptable variation is stated the be 2% (repeatability) & 5% (reproducibility). For real-world materials (such as yours), these values must be significantly increased. This document can be purchased directly from ISO or your local standards authority.
Another useful document is the NIST publication indicating how an uncertainty balance was conducted on the SRM1693 100 nm latex standard via Differential Mobility Analysis (DMA). This shows what can and should be factored in. It may be a little optimistic for real-world materials. I attach 2 documents from George Mulholland that may be useful.
A general chapter (obtainable from the author through RG) may be useful:
Chapter 12: “Instrument qualification and performance verification for particle size instruments” in “Practical Approaches to Method Validation and Essential Instrument Qualification” Eds: Chung Chow Chan, Herman Lam, Xue-Ming Zhang (Wiley) 2010
A couple of webinars may be helpful for general considerations (free registration required):
• International standards in particle characterization
Deals with material and documentary standards in particle sciences
• Instrument performance verification in laser diffraction
This deals with concepts such as repeatability, reproducibility, and robustness – the 3R quality markers for particle size measurements.
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The question suggests several implicit answers: 1) the particle is one-dimensional, 2) the particle line is closed, 3) a vacuum "particle" of unit length has zero mass. However, this topic contains many unanswered questions: about the shape of the particle line, about the dimension and shape of the space in which the particle lines lie, about the formation of chains of particles, and so on.
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Igor Bayak Igor, I cannot unfortunately be so optimistic like you are with respect to all the nasty details, especially given that I recently read the following paper of @ Lev Verkhovsky about a (very plausible!) *omission* in theory of relativity inherited already from day one but also kept by all over to our present time over decades, which is basically an *additionally* required term multiplying in required correction for the doppler effect (simple as its sounds), but imho such changes a lot in relativity, if not everything:
That said, I am way outside my own well known domain of constants of nature, so assuming you know relativity as is accepted mainstream by now way better than I do (or likely better than I ever will know, for that matter). Nevertheless, you should have a deep look on above link before doing too many premature assumtions about relativity in its present form (based on).
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In the suspension polymerization, the monomer connects to form a linear chain, then how and why the linear chain coils to produce round particles?
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Dear all, years ago I answered a question with a similar context. Suspension is a heterophase system, composed of immiscible phases (deslike each other), once put under the agitation shear, the dispersed phase will take a sphere (or -like) form because it is the shape that has the minimum possible surface area per volume, so that the contact interphase (or interface) between unlike phases will be at its lowest possible. It is also possible to use surface free energy in explaning this. To simplify this with an example, lets take a cube with a 1 liter volume and a sphere (balloon) with a volume of 1 liter also. If the surface areas are deduced, the one of the cube (or any other geometrical form) is higher than that of the sphere (at equal volumes condition of course).
Now, the size of suspension particles depends essentially on shear level, concentration, and to lower extent on the type and concentration of the suspention stabilizer. My Regards
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Is it a sickness that so many papers present 3D streamlines via commercial Anasys Fluent/CFD-Post/Tecplot?
  • Tecplot: Surface streamtraces or streamlines are confined to the surface on which they are placed.
  • Tecplot: A streamtrace is the path traced by a massless particle placed at an arbitrary location in a steady-state vector field. Streamtraces may be used to illustrate the nature of the vector field flow in a particular region of the plot.
  • Fluent: Pathlines are used to visualize the flow of massless particles in the problem domain.
  • CFD-Post: A streamline is the path that a particle of zero mass would take through the fluid domain.
In fact, these are representations of pathline.
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I realdy did not undestand the question... but for whom read this after: some possibilies to post processing.
Tecplot are able to generate streamlines in 1, 2 or 3D velocity fields, all it will depends uopn from them are released. You can choose... there are at least fivr option do it. Under Analuzee TAB there is an option to generate particle paths amd streaklines.
On both you can inform the particle, radius, mass, initial velocity, drag coeficient and gravity acceleration modulus and direction.
For Particle path, if the particles have no mass, no gravity and drag are null, the result it will be the same as streamlines (they are generates as a MESH, you need turnon mesh viwe to see them) - if you have a unsteady flow ( changes on stremlines), I think the tecplot will calculate the trajectories from initial to end time. And Streakilines are transient in this conception, and the result are the same for particle paths but you can animate them! It is a lagrangeam post processing with one way coupling.
All them work from any dimension 2or 3D, steady or unsteady
CFD post, works for 3D always, even a 2D case is loaded - CFD Post was CFX Post in the past, and ANSYS CFX is alway 3D. There is some translation from FLUENT data do CDF-post, and a slim 3D geometry is created from 2D Fluent DATA. But you have a real 3D case genetare surface or volumetric Streamlines from where you want a plane, from point, lines, or any geometry entity you have created.
Particles trajectories are load as a other data file - Fluent and CFX generate this files and they need to be loaded after the case. This avoid crashes for a large numer of particles.
Oh, and there is ENSIGHT (CEI now ANSYS) - there is the same Tecplot approach.
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How does temperature affect the speed of particles and relationship between temperature and speed of molecules?
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The diffusion coefficient is proportional to temperature, and inversely proportional to viscosity (η, which may itself be temperature dependent), also known as the Stokes Einstein equation:
D = {k_B * T} / { 6 * π * η * R_h }
with k_b the Boltzmann constant and R_h the hydrodynamic radius.
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Does the change in temperature affect density in solids why and relationship between the temperature of an object and the motion of its particles?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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Which state of matter has the fastest particle speed and on which state of matter do temperature and pressure have greatest effect why?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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Which state of matter which the particles move at highest speeds has the most energy and what state of matter does pressure affect the most?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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Does humidity increase air resistance and what happens to the particles of a substance as its temperature increases?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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What happens to resistance when temperature increases and what happens to the motion and position of a substance’s particles when it moves to a higher temperature?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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How does temperature affect speed of particles and when the temperature of a substance is heated, what happens to the speed of the molecules?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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The term nanoparticle is constantly used. This term characterizes the particle size. There is a term physico-chemistry of nanoparticles. In this case, particles can be chaotic with an indeterminate shape and with a given shape and size. And these two directions are completely different in terms of content, technology level and methodological foundations. Chaotic particles can be obtained using conventional chemical techniques, there is nothing special about their properties, except for a large specific surface area. Whereas true nanoparticles form ordered structures and possess undoubtedly new properties and even quantum effects are beginning to manifest themselves. What can I suggest, dear colleagues, to organize information?
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Well, in the graphene community in which I hovered around while doing my PhD, nanographene is everything larger than Hexabenzocoronene which extends over just a little under 2 nm. Also, fullerenes are often referred to as nanoparticles and they usually don't get beyond 100 nm.
Also, with nanowires, 100 nm are usually seen as the upper threshold.
You could of course argue that nanoflakes and nanowires should be separated from nanoparticles, but that brings us back to the initial issue Oleg Novikov asked about what kind of structures you want to include here.
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Which state of matter has the most energy and how does temperature affect the transmission speed of particles within solids or liquids?
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In addition to the right previous answer, I guess that plasma has the most energetic states since the velocity of charge particle and the radiation field is enormous, following by nuclear elements capable to be used for fusion and fission, Prof. Rk Naresh
Best Regards
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What happens to the speed of the particles as you decrease the temperature and relationship between temperature and the kinetic energy of the particles within a substance?
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As you decrease the temperature of a substance, the speed of its particles decreases. This is because temperature is directly related to the average kinetic energy of the particles within the substance. Kinetic energy is the energy of motion, so when particles move faster, they have more kinetic energy and the substance feels hotter. Conversely, when particles move slower, they have less kinetic energy and the substance feels cooler.
Here's a breakdown of the relationship:
  • Temperature: A measure of the average kinetic energy of the particles within a substance. It does not reflect the speed of individual particles, but rather the overall distribution of their speeds.
  • Kinetic energy: The energy of motion of an object. In this case, it refers to the energy of individual particles within the substance.
  • Relationship: There is a direct relationship between temperature and kinetic energy. As temperature increases, the average kinetic energy of the particles increases, and they move faster. As temperature decreases, the average kinetic energy decreases, and the particles move slower.
Important notes:
  • Not all particles have the same speed: Even at a constant temperature, different particles within a substance will have different speeds due to natural variations. However, the average speed decreases as the temperature decreases.
  • State of matter matters: The way particles move depends on the state of matter (solid, liquid, gas). In solids, particles vibrate in place; in liquids, they slide past each other; and in gases, they fly around freely. However, the principle of temperature and kinetic energy applies to all states.
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Does temperature affect the speed of particles in a substance and what happens to the movement of molecules when their temperature is lowered?
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Absolutely, temperature has a dramatic effect on the speed of particles in a substance! It all boils down to the concept of kinetic energy.
Imagine the particles in a substance, whether atoms or molecules, as tiny balls constantly moving and bumping into each other. The average speed of these particles is directly related to their kinetic energy, which, as the name suggests, is the energy of motion. Temperature, in turn, is just a measure of the average kinetic energy of the particles in a substance.
So, what happens when you change the temperature?
  • Increase in temperature: Adding thermal energy to a substance (heating it up) essentially gives its particles a "speed boost." This increased kinetic energy translates to the particles moving faster and vibrating more vigorously.
  • Decrease in temperature: Removing thermal energy (cooling it down) does the opposite. The particles slow down and lose their "pep," vibrating less and moving at a slower pace.
This relationship between temperature and particle speed holds true for all states of matter, although the specifics may differ slightly. In solids, the particles are tightly packed and vibrate around fixed positions. As temperature increases, the vibrations become more intense. In liquids, the particles are less constrained and can flow around each other. Higher temperatures translate to faster movement and more frequent collisions. Finally, in gases, the particles are free to move independently. Temperature changes directly affect their speed and the frequency of collisions with each other and the container walls.
In summary, lowering the temperature of a substance slows down the movement of its molecules, resulting in reduced vibration, slower collisions, and ultimately, lower overall energy.
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Does resistance increase when temperature rises and what does the temperature of a substance relate to the movement of particles in a substance?
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Yes, in most cases, the resistance of a substance increases as its temperature rises. This is true for conductors like metals, but not for all materials. Here's the breakdown:
Conductors:
  • Imagine electrons flowing through a metal like tiny cars on a highway.
  • When the temperature rises, the atoms in the metal vibrate more intensely.
  • These vibrating atoms act like bumps on the highway, making it harder for the electrons to flow smoothly.
  • This increased difficulty translates to higher resistance.
Insulators:
  • In insulators, the electrons are tightly bound to their atoms and don't move freely.
  • However, some temperature effects can change the material's structure or create imperfections, leading to an increase in resistance in some cases.
Semiconductors:
  • These materials behave differently depending on temperature.
  • Usually, their resistance decreases with increasing temperature due to different mechanisms related to their band structure.
Temperature and Particle Movement:
  • Temperature is directly related to the kinetic energy of particles in a substance.
  • Higher temperature means faster-moving particles.
  • In gases and liquids, these faster-moving particles collide more frequently, which can also hinder the flow of current and contribute to increasing resistance in some cases.
Exceptions:
  • Some special materials, called superconductors, lose all resistance at very low temperatures.
  • Certain resistors are designed to have a negative temperature coefficient of resistance, meaning their resistance decreases with temperature.
Overall, remember that the relationship between temperature and resistance is complex and depends on the specific material and its properties.
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How does adding or removing thermal energy affect the kinetic energy of matter and how does adding thermal energy to a substance affect its particles?
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Dr Abera Abebe thank you for your contribution to the discussion
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How does temperature affect the speed of an object and relationship between the particles of a substance and the temperature of a substance as it changes state?
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Dr Amir Khan thank you for your contribution to the discussion
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What happens when thermal energy is removed from a substance and adding heat and removing heat affect particle movement and particle arrangement?
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Dr Murtadha Shukur and Dr Osama Bahnas thank you for your contribution to the discussion
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How adding and removing heat energy affects the kinetic and thermal energy of matter and changes in thermal energy affect the particles that make up matter?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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How does temperature affect the movement of particles and speed of sound and relationship between adding energy to particles and the particle's motion?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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How does temperature affect particle movement and phase change and relationship between the temperature of the mixtures and the motion of the particles?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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How does temperature affect the speed of the particles in a substance and relationship between temperature and the speed of molecules?
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Dr Murtadha Shukur thank you for your contribution to the discussion
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Please shar refences
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All materials vary in the degree to which they can be charged from electrical taxes. Photoconductors are capable of DC charging, while insulators impede the movement of charges. Static electricity is the appropriate place to study charges or charged objects. Static electricity is produced when electrical charges are obtained that do not even reach the material if the charges are produced and the electricity does not develop static.
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Is there any evidence in the data from Fermi Lab or CERN for 3 particle quark Baryon states or 2 particle Meson quark in the 21 dimensional 2,2 highest weight representation of SU(3) with any of the 6 known quarks charm, truth, beauty, up, down, or strange?
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See B. Hall, Lie Groups, Lie Algebras and Representations, p 151 for the (2,2) highest weight diagram.
(2,2) + (2,2) + (2,2) = 27 + 27 + 27 = 81
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The quantum and classical Liouville equations for free particles are identical. So, why is there quantum wave packet spreading; or, conversely, why is there NOT classical wave packet spreading? Please give a clear, mathematical answer, not one couched in vague, philosophical terms. By the Liouville equation, I mean the classical equation d(rho)/dt = -p/2m d(rho)/dq + dV/dq d(rho)/dp (partial derivatives; rho = probability density distribution of p and q), or its quantum equivalent. SEB
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The concept of the wave function is mathematically very well founded by studying these 3 publications:
In addition, the following 2 references provide further clarification:
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I'm using DMP 2831 inkjet printer and currently using only silver nano particle ink(NPS-L). The problem is after filtering about 4ml of ink with a PTFE 0.45 filter into a new cartridge and trying to print, it didn't work well(jetting issue) and leaked to entire bottom side of the cartridge. Could the issue be that injecting about 4ml is too much? or could there be another problem?
Also, if anyone has experience using the same ink(nps-l) as me, i would appreciate recommendations for a suitable solvent to adjust the appropriate viscosity. i couldn't find any information about this on the manufacturer's page.
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Two different type of inkjets exist.
(CIJ) Continuous flow requires a positive fluid pressure.
(DOD) Drop on Demand generally requires a negative fluid pressure that is overcome when a drop is needed.
Both CIJ and DOD use nozzles with small orifices. Fluid filtration should limit any nanoparticles or agglomerate particles to much less than 1/5 the nozzle orifice diameter.
I suspect your leak is from fluid pressure. Also, nanoparticles can interfere with fluid meniscus behavior and this will cause nozzle leakage.
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The concept of quantization in physics begins with the expression E=hν, P=h/λ obtained from the blackbody radiation law, where h is the minimum amount of action [1]. Since there is a mass-energy relation E=mc^2 [2], all matter particles (with mass) can and must be equally capable of being expressed ‡ in terms of E=hν, which leads to the fact that the structure and interactions of all matter must be finite, integer multiples of the quantity hν. While the fact that ν can be continuous* does not prevent the fulfillment of occasions where there is a requirement for energy continuity, the discrete nature of the energy levels dictates that the choice of ν is finite.
In quantum mechanics, the state of a particle can be described by its wave function Ψ(r), or there can be described by the momentum representation φ(p). In fact, we can regard Ψ(r) as a time-domain energy packet and φ(p) as a frequency-domain momentum packet; momentum φ(p) and energy Ψ(r) are a pair of Fourier transformations. If the fundamental composition of matter is a variety of quanta E=hνi (i=1,2,3), then the momentum pi implied in all matter is also a variety. The Fourier transform of a continuous function in the time domain produces an infinite multitude in the frequency domain, and vice versa. Physics really cannot express infinite multinomials. Only the Fourier transform DFT of a finitely discrete time-domain function corresponds to a finite number of discrete terms in the frequency domain, which can express the physical reality under certain conditions. The Fourier transform is related in quantum mechanics to wave-particle duality, superposition, the uncertainty principle, measurement, etc. Therefore, we ask:
1) Is the discrete Fourier transformation the only inevitable choice for the quantization of physics?
2) Since everything is expressed by the photon's E=hν, should fermions (electrons, quarks), W bosons, gluons also be expressed by photons?
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Notes
‡ including all fermions, electrons, quarks, etc. Do we then need to find a direct compositional relation between fermions and E=hν? Since, the composition of quarks is associated with E=hν, why is the interaction not it, but changed to gluons?
* We need to think about the question, what must be the physical meaning of ν in E=hν?
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References
[1] Planck, M. (1900). The theory of heat radiation (1914 (Translation) ed., Vol. 144).
[2] Einstein, A. (1905). Does the inertia of a body depend upon its energy-content. Annalen der Physik, 18(13), 639-641.
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Best wishes for a speedy recovery!
Once more: Quantization means constructing the quantum theory, whose classical limit is a given classical theory. If the classical theory is a relativistic field theory, the classical equations of motion describe nonlinear waves. In the quantum theory their states can be understood as multiparticle states that can be massless or massive. For the free theory, the dispersion relation can be shown to be hω=h|k| <=> E = |p|c for massless particles and
(hω)2 = (hk)2 + m2c4 <=> E2 =|p|2c2 + m2c4 for massive particles.
So a massless particle doesn't display dispersion, since the phase velocity is equal to the group velocity of the wave, which is described by the coherent superposition of one-particle states, whereas the massive particle does display dispersion, since the phase velocity isn't equal to the group velocity.
The quantities that are relevant for describing a quantum field theory are the transition probabilities from any state of n particles, with given properties (energy, momentum, angular momentum, internal charges) to any state of n' particles with given properties. How to compute these is what quantization is about.
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Does adding heat increase potential energy and how does adding heat and removing heat affect particle movement and particle arrangement?
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Dr Murtadha Shukur thank you for your contribution to the discussion.
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Quantum Entanglement is a phenomeno inwich
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So let’s continue [see SS post above]
The 4D space with [utmost universal “kinematical”] metrics (cτ,X,Y,Z) above consists of two types of specifically different dimensions – 3 XYZdimensions, that, as that C.F. von Weizsäcker rigorously had proven in first 1950s, make binary operations, in this case “FLE flips” be possible;
- and unique - dimension, that makes binary operation “FLE reversible flip” be possible, what is necessary, as that Fredkin-Toffoly have shown in last 1960s, for the energy conservation law could act.
Correspondingly there exit two main types of particles – “S-particles” that are created by 3DXYZ space lines directed momentums, and “T-particles” that are created by momentums that are directed along cτ-axis.
Photons are S-particles, and so move only in the 3D space with the speeds of light;
T- particles, if are at rest in the absolute 3DXYZ space, move only in the -dimension with the speed of light; and so if a T-particle is impacted by some 3D space momentum, at that (i) - the every T-particle “rest mass” is observed, and (ii) - the particle moves also in 3D space with some speed V, correspondingly its speed in cτ-dimension decreases in Lorentz factor.
Antiparticles are reversed , i.e. the same as corresponding particle algorithms, but that run with opposite command order, algorithms.
Correspondingly particles that are created by 3DXYZ momentums don’t use reversive option, and so are “own antiparticles”. That are, again, photons, which are some transformations of the fundamental Nature Electric force mediators, and gravitons, which are transformations of Gravity Force mediators.
In Matter at least 4 known now Forces act: Gravity, Weak, Electric, and Strong/Nuclear Forces [for what Matter’s spacetime metric is (cτ,X,Y,Z, g,w,e,s,ct); g,w,e,s dimensions correspond the Forces above] , which differ by their strength and action range, where only Gravity Force is completely symmetrical Force, and so in Matter everything attracts everything,
- while seems the rest 3 Forces aren’t symmetrical. At least that is evident for Electric Force – electron’s charge is “negative”, while the “electron’s algorithm’s that runs reversibly”, i.e. positron’s, charge is positive. At that at creation of new T-particles at interactions always pairs of “particle+ antiparticle” appear, which mostly annihilate with production eventually photons and neutrinos.
Correspondingly among possible T-particles [in now known a few hundreds zoo] there exists one fundamental, exclusion – Planck mass particles [or other T-particles that have only Gravity charge], which are T-particles, but, since they have only Gravity Force charge [“gravitational mass”], the directed and reverse algorithms are identical, and so these T-particle are own antiparticles. Just therefore Matter doesn’t contain antimatter [why? – see 2-nd link in the SS post above, section “Cosmology”].
More see the links in yesterday SS post above.
Cheers
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In simpler terms, if an electrical charge ‘q’ is so small like a test-particle regarding its dimensions but huge in its electrical charge, is there any substance in nature or phenomena where a small volume can have huge electrical charge (like e.g., small volume of a star but with millions of Coulombs in small volume?
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Preston Guynn many thanks for this answer. I really appreciate the time to reply to. I consider that some phenomenon there should be found and open the possibility to accept naked singularities or something close to that. The Abraham Lorentz force is a great concept behind all this stuff as the particle with that behavior should radiate close to the concepts of naked singularities. I will be exploring more articles I have been reading about and to conclude at least a humble letter about this stuff.
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Dear colleagues! I had to yield polystyrene particles of specified size 50-100 μm (at least 60-80% mass of initial monomer) by means of one-stage polymerization. I have chosen to utilize suspension polymerization in presence of polyvinyl alcohol (Mowiol 18-88) as stabilizer and partially succeed. But still I have no clue how to solve some problems:
1) Sometimes I can't reach 50-100 μm size, and most of time my main fraction consisted of 100-250 μm particles. I suppose I just used slow-rate stirrer.
2) Forming of microparticles (d < 30 μm or even about 1-2 μm, maybe), which yield can reach more than 60 % mass of initial monomer, whereas target fraction (50-100 μm) yeild is only about 25 % mass. I have no idea how these particles are formed, because styrene is hardly soluble in water media and I use benzoyl peroxide as initiator, so it must not be soap-free polymerization (it takes place while using water-soluble initiators, like potassium persulfate). Also PVAlc concentration in water doesn't exceed 0.2-1 % mass.
Unfortunately I don't know all aspects of suspension polymerization. Could your reccommend me some books or articles for solving these issues?
P.S. Also these particles must be soluble in organic solvents, so using of divinylbenzene as crosslinking agent is not allowed.
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Размер частиц зависит от перемешивания и слипания. В момент точки липкости микрокапли слипаются и получаются агрегаты. Если сделали больше соотношение дисперсионной среды к дисперсной фазе, то затруднили слипание и получили много мелких капель и частиц полистирола. Если возьмете мою методичку легко получите нужный размер капель.
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It's a mix 50/50 in weight of tungsten carbide particles with a size between 40 and 210 µm (density 10 g/dm3) and nickel particles with a size between 20 and 150 µm (density 8 g/dm3).
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Nickel is magnetic.
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Hello,
I am working with thermofisher F8803 FluoSpheres. The concentration is 2.7x10^13 particles/mL. I need to convert to microgram/mL. I have the follwoing information:
Particle size = 110nm
Density of polystyrene = 1.055g/cm^3
Specific surface area = 5.2x10^5 cm^2/g
Any help in this conversion would be greatly appreciated, thanks.
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If the particles are spherical and “ particle size” is the diameter, the volume per particle is V = \pi/6 × d3 = 6.9691e-22 m3. The mass per particle is m = \rho × V = 1.055e+3 kg/m3 × 6.9691e-22 m3 = 7.3524e-19 kg. Multiplication with the particle count/mL gives 1.985e-5 kg/mL = 1.985e+4 µg/mL.
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Based on the extended energy-momentum relation as I proposed at , massless particles such as photons and gravitons will not interact with gravity fields or electromagnetic fields because of the CPT symmetry and mass-potential symmetry. Therefore, light should not be bent by gravity fields, although it can be bent by media made of massive particles such as single particles, atoms, gas, liquid and solid. In vacuum, light cannot be bent, therefore gravitational lensing should not happen.
I know that there are many astronomical images were thought to be caused by gravitational lensing, but I really doubt it. First of all, the ring structure supposedly cause by lensing shows stars with normal point like shape, not the stretched ring. Secondly, if the so-called gravitational lensing is true, it should have lensing around very black holes if there are stars or galaxies behind them. However, I didn't see any lensing report on the observation of our own supermassive black hole at the center of Milky Way. I am suspecting that the ring structure are not gravitational lensing, but something else that I proposed as the result of antigravity.
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Dear Hong Du ,
'The geometric configuration and available energy momentum makes people think there exists beams of light, but actually the beam is the result of numerous individual exchanges of energy and momentum.
'With the famous Eistein's principle of mass energy equivalence... your approach seems quite one-sided, in this case it is not possible to talk about a unified theory.
Ancient Chinese traditional wisdom has long hinted at this. The two palms only clap when they touch each other.
'It is hard to understand, but it is the right way to go in my opinion. I honor all possible theories as long as experiments can verify.'
Experiments affect a small segment of nature. An experiment may work in one set of circumstances, but in another set of circumstances it may not give good results. Therefore, a theory is good if it takes all of this into account.
If philosophy of nature is excluded from theoretical physics, then it runs on a blind track! (own saying)
Regards,
Laszlo
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What types of heat transfer that does not require particles and why land masses get heated more quickly than the oceans mainly?
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The type of heat transfer that doesn't require particles is radiation. This includes both visible light and invisible electromagnetic waves like infrared radiation. It's the reason we feel warmth from the sun even though space is a vacuum devoid of particles.
However, the statement that land masses heat up faster than oceans generally isn't entirely true. It depends on various factors and specific conditions. Here's why:
  1. Specific Heat Capacity: Water has a higher specific heat capacity than land (soil, rock). This means it takes more energy to raise the temperature of water by 1 degree compared to land. So, while both might absorb the same amount of radiation initially, the ocean takes longer to show a noticeable temperature increase.
  2. Transparency: Land is mostly opaque to radiation, absorbing it and converting it into heat. In contrast, water is partially transparent, especially to sunlight. Sunlight can penetrate deeper into water, warming it throughout, not just the surface.
  3. Mixing and Circulation: Oceans experience constant mixing and circulation of water due to waves, currents, and tides. This distributes heat more evenly throughout the water column, preventing rapid surface heating. Land lacks such large-scale movement, leading to localized spikes in temperature.
  4. Evaporation: As water absorbs heat, some evaporates, taking some heat with it. This cools the surface water, creating a counterbalancing effect against warming. Evaporation plays a lesser role in land heating.
Therefore, while the initial absorption of radiation might be faster for land due to its opacity, the ocean's higher specific heat, transparency, and mixing mechanisms generally prevent it from heating up significantly faster than land on average.
It's important to consider specific scenarios and factors like time of day, weather conditions, and water depth when making comparisons.
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Which state of matter has particles with the least energy and what has the highest and lowest energy states of matter?
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The condition of the material is then determined by whether it is solid, liquid, or gaseous. Molecules in the solid state have the least amount of energy, whereas gaseous particles have the most. The average kinetic energy of the particles is measured by the temperature of a material. In a gas, particles have a lot of kinetic energy and are moving rapidly, leading to higher potential and internal energy. In contrast, in a solid, particles are tightly packed and have lower kinetic energy, resulting in lower potential and internal energy. The particles of a solid have the least energy. They are tightly packed together and have little room to move around. Particles in a liquid have more energy than in a solid, and the particles of a gas have the most energy. So the least energy particles are found in solids. In gases, the particles move quickly as they have high energy. The molecules of gases have the highest energy in comparison to the molecules of solids and liquids. Gases are considered the weakest state of matter due to their loose bondage between particles. Due to that, the intermolecular force for gas would be very low compared to solid and liquid.
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With natural photons from stars and artificial photons from light sources such as bulbs, fire, some photons interact in way that appears to have slight charge.
If charge polarity gradients exist on photons emitted from light sources, charge state could be from quanta spin angular momentum, excited atoms, Electromagntism, and other factors.
Artificial Photons. With photons from light bulbs, RF, and chemical reactions, the most common types of light bulbs are incandescent bulbs, halogen bulbs, CFL bulbs, and light-emitting diode (LED), bulbs. Heating the atoms of filament, millions and billions of electrons are excited to higher energy shell levels and then simultaneously descend to lower levels, which releases photons with Energy (E=hf) that could also be electrons. Photoelectric effect is also the emission of electrons when electromagnetic radiation, such as light, hits a material.
Some found that RF photon energy is vastly smaller than an optical photon energy, which would suggest two separate particles of different size, spin state, charge, etc. Negative photons are fragments derived from electrons that are negatively charged. X-ray is a positive photon;Photons of different sizes have different masses and spin magnetic moments. negative photon speed was found to be in excellent agreement with the existing light speed constant.(Yuan, et al, 2021) Further research may help quantify polar dynamics of photonic interactions.
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The equations for the electromagnetic field, in the absence of sources describe free fields, of zero internal charges, of mass zero and spin 1. It's matter that carries electric charge and interacts with the electromagnetic field (i.e. with photons), in a way that's uniquely prescribed by global Lorentz invariance, gauge invariance and the requirement that the equations of motion don't contain derivatives of degree greater than 2. All this is the subject of all courses in electrodynamics.
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Does high temperature have high kinetic energy and what happens to the kinetic energy of the particles when its temperature is high?
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Hello Sir Rk Naresh
I also agree with Aissa Walid Benarous but I want to amplify what he says.
According to the kinetic theory of molecular gas, we get the relation:
E=3/2kBT,
where E is the average kinetic energy and kB is Boltzmann's constant given by the ratio of Universal gas constant (R) and Avogadro's number.
You can apply this relation if your particle is a gas particle to explain the increase in the average kinetic energy of your particle with the increase in temperature.
In the case of the solid particles, you need to apply ''The law of equipartition of Energy'' given by the relation:
Average kinetic energy per molecule per degree of freedom = 1/2kBT.
And the degree of freedom of solid = 6
Therefore, the average energy of a particle of a solid =6*1/2kBT=3kBT.
In case you want to explain only the average kinetic energy of a solid particle use the relation mentioned by Aissa Walid Benarous since the average kinetic energy and potential energy of a particle of a solid are equal.
Thank You.
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Superposition is real, I know this. It's usually represented as containing contradictions (opposite spins of electrons). Therefore it's claimed that Aristotle's Logic does not work here. But is this "superposition thing" a quality or an explanation of a quality?
What if this particle disappers and appears so quickly that, and we're saying (while it's disappered) "it's in a superposition state" ? I mean, containing contradictions is OK for non physical being, because there is no existence at that moment? But when electron exists, it has only one spin. Is it possible to explain superposition in such way? Are there any similar comments by physicists?
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Nursena Çetingül Yes, collapse produces energy. Dark energy has been a guiding light. On the experimental side is a mad rush to space.
IVO, NASA, DARPA and Another Group Are All Working to Test Quantum Drive's in Space | NextBigFuture.com
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In which state of matter do particles have the highest degree of kinetic energy and which state of matter is the rarest on Earth?
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  1. Highest Kinetic Energy: The state of matter with the highest degree of kinetic energy is plasma. Unlike the three common states (solid, liquid, gas), plasma is often called the "fourth state of matter." In plasma, the atoms are stripped of electrons, creating a soup of charged particles (ions and electrons) that move freely at very high speeds, resulting in significantly higher kinetic energy compared to other states.
  2. Rarest on Earth: This one is a bit trickier. Depending on how you define "rarity," two options come to mind:
  • Plasma: While plasma might be abundant in the universe, making up most of the visible matter (e.g., stars, solar wind), it's relatively rare on Earth under natural conditions. It can be found in lightning, auroras, and some natural gas deposits, but these instances are localized and often transient.
  • Bose-Einstein condensate: This exotic state of matter, where atoms are cooled to near absolute zero and collapse into a single quantum state, is even rarer than plasma on Earth. It can only be achieved in specialized laboratories under highly controlled conditions and doesn't exist naturally here.
So, depending on your definition of "rarity," both plasma and Bose-Einstein condensate could be considered the rarest states of matter on Earth.
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Which state of matter has the least kinetic energy where the particles move the slowest?
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The state of matter with the least kinetic energy and slowest moving particles is solid. Here's why:
  • Kinetic energy is the energy of motion, and it reflects the speed and activity of individual particles (atoms or molecules) in a material.
  • In solids, particles are tightly packed together and locked in rigid positions due to strong intermolecular forces. They can only vibrate slightly around their fixed locations, resulting in very little movement and, consequently, minimal kinetic energy.
  • In contrast, liquids have more kinetic energy than solids because their particles can move more freely, sliding and bumping into each other within the liquid's volume.
  • Gases have the highest kinetic energy among the common states of matter. Their particles are far apart and move at high speeds in random directions, colliding with each other and the container walls.
Therefore, considering the limited movement and low energy state of particles, solids take the crown for having the least kinetic energy.
Remember, this answer applies to typical cases, and extreme conditions can alter things. For example, some extremely cold solids near absolute zero may exhibit properties closer to those of a liquid due to reduced particle motion.
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What state of matter has particles with the highest energy and how temperature and pressure can impact the kinetic energy of particles in a system?
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The state of matter with particles having the highest energy is plasma. In this state, atoms are subjected to such extreme temperature and pressure that their electrons are stripped away, creating a gas of free-moving, highly charged ions and free electrons. These free particles possess immense kinetic energy due to their unconstrained movement and strong electrostatic repulsion.
Now, let's see how temperature and pressure impact the kinetic energy of particles in a system:
Temperature:
  • Directly proportional: As temperature increases, the internal energy of a system increases, and this manifests as increased kinetic energy of the constituent particles. Imagine boiling water; the increasing temperature excites water molecules, causing them to vibrate and move faster, thus possessing higher kinetic energy.
  • Influence on state transitions: Higher temperatures generally promote transitions from more ordered states (solids) to less ordered states (liquids and gases). In each transition, the particles gain kinetic energy and freedom of movement.
Pressure:
  • Indirectly proportional (ideal gases): For ideal gases, increasing pressure compresses the gas, forcing particles closer together and reducing their average kinetic energy due to increased collisions. However, this applies to ideal gases and may not hold true for all systems.
  • Non-ideal behavior: Real gases deviate from ideal behavior at high pressures and low temperatures. In such cases, increased pressure can lead to increased intermolecular forces (like stronger attractive forces between molecules), which can potentially restrict movement and even decrease kinetic energy.
It's important to remember that both temperature and pressure interact with each other and can have complex effects on the kinetic energy of particles in a system.
Therefore, while plasma represents the state with the highest individual particle energy due to its unique structure, understanding the nuanced interplay of temperature and pressure is crucial for predicting the overall energetic behavior of a system.
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Will heat transfer between two objects with the same temperature and how does temperature affect the kinetic energy of particles?
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No, heat will not transfer between two objects with the same temperature.
Here's why:
Heat transfer is the flow of thermal energy from a higher-temperature object to a lower-temperature object. This flow occurs because of a temperature difference, which signifies different levels of internal energy or kinetic energy of the particles within the objects.
  • Temperature is directly related to the average kinetic energy of the particles in an object. Higher temperature indicates faster-moving particles with higher kinetic energy, while lower temperature means slower-moving particles with lower kinetic energy.
When two objects are at the same temperature, their particles have the same average kinetic energy. This means there is no driving force for the net transfer of energy from one object to the other. Any random transfer of energy between individual particles will be balanced by equal and opposite transfers in the other direction, resulting in no net heat flow.
Therefore, even though microscopic energy exchanges might happen, there will be no overall heat transfer between two objects with the same temperature.
In summary:
  • Temperature difference drives heat transfer, not just contact.
  • Same temperature means equal average kinetic energy of particles, preventing net heat flow.
  • Individual energy exchanges may occur, but they cancel out in both directions.
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Why kinetic energy is not directly proportional to pressure and how does temperature affect the kinetic energy of particles?
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You're right, kinetic energy is not directly proportional to pressure, but it relates to pressure in a specific way:
  • Kinetic energy refers to the energy of motion of individual particles. In a gas, for example, it's the sum of the energies of all the gas molecules moving around.
  • Pressure is the force exerted by a gas per unit area of its container. It arises from the continuous collisions of gas molecules with the container walls.
While it might seem intuitive to think they're directly proportional, the actual relationship is slightly more nuanced:
  1. Pressure is proportional to the average kinetic energy per unit volume, not the total kinetic energy. This means, if we keep the number of particles constant, increasing the volume allows the particles to spread out, reducing their collisions with the walls and thus the pressure, even though the total kinetic energy remains the same.
  2. Pressure also depends on the number of particles in the container. With more particles, there are more collisions with the walls, leading to higher pressure, even if the individual particles have the same kinetic energy.
So, pressure is a combined effect of both the average kinetic energy per unit volume and the number of particles. This gives us the formula for ideal gases:
P = (N * k * T) / V
where:
  • P is pressure
  • N is the number of particles
  • k is Boltzmann constant
  • T is absolute temperature
  • V is volume
Now, regarding how temperature affects the kinetic energy of particles:
  • Temperature is directly proportional to the average kinetic energy of the particles. This means the hotter the gas, the faster its molecules move and the higher their individual kinetic energy.
  • This explains why pressure increases with temperature: as the molecules move faster, they collide with the container walls more frequently and with greater force, leading to higher pressure.
Therefore, while not directly proportional, pressure and temperature are both related to the average kinetic energy of particles: temperature dictates the individual energy, while pressure considers both energy and density of particles.
I hope this clarifies the connection between kinetic energy, pressure, and temperature! Feel free to ask further questions if you want to delve deeper.
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Does pressure affect kinetic energy of particles and how do temperature and pressure depend on each other?
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Pressure and kinetic energy in a system of particles are interrelated, but they don't directly affect each other. Here's how:
Pressure and Kinetic Energy:
  • No direct impact: Pressure itself doesn't directly affect the average kinetic energy of individual particles. This means compressing a gas without changing temperature won't cause the particles to move faster on average.
  • Indirect influence: However, pressure is related to the frequency and force of collisions between particles and the container walls. As pressure increases due to other factors (like temperature change or volume reduction), particles collide with the walls more often and with greater force. This increased collision rate can indirectly influence the distribution of individual particle speeds, but not their average kinetic energy.
Temperature and Pressure:
  • Direct relationship: In contrast, temperature has a direct and proportional relationship with the average kinetic energy of particles. Increasing temperature makes particles move faster, leading to higher pressure due to more frequent and forceful collisions.
  • Kinetic Molecular Theory: This relationship is explained by the Kinetic Molecular Theory of gases. It states that pressure is proportional to the product of the number of particles per unit volume, their average kinetic energy, and a constant factor related to Boltzmann's constant. So, when particles move faster (higher KE), pressure increases even if other factors like volume remain constant.
Key Takeaways:
  • Pressure and kinetic energy are connected through collision frequency and force, but not directly through average speed.
  • Temperature directly affects average kinetic energy, leading to changes in pressure.
  • Both pressure and temperature are important aspects when studying gas behavior and dynamics.
Remember, these principles primarily apply to ideal gases and may need adjustments for real-world scenarios with complex interactions or non-ideal gas behavior.
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Just like in relativity where the 4D postulate motivates many to believe it is the actual reality because of its success, in QM many believe the world of particles is not the prominent reality [1].
The argument however is not as simple. Here I try to present it. In summary, it is based on the 2 interpretations of configuration space, representations that were introduced in the nineteenth century*, although similar i.e. based on same "ancestry", of where the quantum state is based
Classic configuration space
This means configuration spaces used to represent a system of particles with apparent locations in three-dimensional space will be 3N-dimensional, where N is the number of particles. That is to say that each point in space will be labelled by 3N numbers. For a system with two particles, the configuration space is six-dimensional and a point in space (a configuration) can be provided by six numbers where the first three correspond to the x, y, and z coordinates for the first particle and the second correspond to the x, y, and z coordinates for the second.
Quantum configuration space
In a classical situation, one in which the locations of all particles is determinate, a system can be represented by one simple point in its configuration space. In quantum mechanics, however, particles have indeterminate positions, and so a quantum system must be represented as a field smeared out over this configuration space.
This is the quantum wave function [1]. The wave function field will have amplitudes at points in configuration space that correspond to locations in three-dimensional space where these particles may be found.
The Schrödinger equation is a deterministic equation [2]: if the quantum state  is given at any particular instant of time, the solution follows for any other time value, both before and after that instant. The interpretation of quantum state is, however, drastically different from classical fields such as E or B, because it is defined not in spacetime, but on a high-dimensional configuration space.
(Its connection with classical quantities is described by the probability interpretation) **
Hilbert space
Another higher-dimensional framework for representing systems in quantum mechanics is Hilbert space. Each dimension in a Hilbert space corresponds to a determinate state of some observable (a position coordinate or spin along a given axis, for example) [1].
Here, total systems are represented as vectors or rays in Hilbert space. For example, to represent a system of two spin-1/2 particles, physicists will use a ray in a four-dimensional Hilbert space, with two dimensions corresponding to the spin of the first particle being up or down along some dimension, and two corresponding to the spin of the second particle being up or down along that or some other dimension. When we consider observables like position coordinates that can take an infinite number of possible values, the Hilbert spaces become infinite-dimensional
Novel predictions and ideas
Based on the above, on QM there is the idea that the wavefunction field excludes the prominence of a world of particles.
i.e. a field-like object that exists in some higher-dimensional quantum reality [1].
In such a world, as quantum mechanics predicts, our three-dimensional reality is nonlocal
References
2. CLAUS KIEFER, Concept of Law in Physics On the Concept of Law in Physics
* to provide more rigorous and elegant formulations of classical mechanics
** In 1926, as is well known, Schrödinger reformulated quantum mechanics using his famous wave equation. This formulation lent the promise of allowing not only a simpler and more familiar mathematical statement of the theory, but also a formulation that would be more capable of providing a clear account of the nature of the world according to quantum mechanics, at least more capable than Heisenberg’s matrix formulation [1]. Schrödinger’s formulation allowed one to see quantum systems as waves or fields evolving smoothly and continuously over time in accordance with his wave equation [1].
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Higher-dimensional systems used in quantum mechanics, like Hilbert spaces, don't exclude or seriously undermine the concept of a particle-based world. Instead, they provide a more comprehensive framework to describe quantum states and phenomena. These mathematical representations extend our understanding of particles and their interactions, rather than contradicting the particle concept.
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We assume that this is absolutely true because they tried to introduce and adjust matrix mechanics only to quantum particles when it should be applied to both classical physics situations as well as quantum physics particles of the the same way and via the same matrix.
Classical physics and quantum physics are two sides of the same coin (nature) and they simply arise and interpenetrate, as proposed and successfully solved by the B-matrix strings.
ref,
Fall and rise of matrix mechanics, Researchgate, IJISRT journal, January 2024.
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No-it would br useful to actually (a) read their paper (and it's Pascual Jordan, not Pasquale Gordon) and (b) study quantum mechanics.
and this is the paper all three wrote together: http://fisica.ciens.ucv.ve/~svincenz/SQM333.pdf
With search engines there's really no excuse.
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I have 0.2% Chitosan solution dissolved in 1% acetic acid and after filteration using 0.2 µm filter paper, small white particles perciptated I do not what these particles are. This the first time for me to encounter such problem. Do you have any idea about this?
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These particles may be chitin residues that were not deacetylated enough during processing to obtain chitosan. Furthermore, deacetylation includes filtration steps, which may result in cellulose residues from the filter paper if it is scraped to remove the chitosan.
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the accepted definition of a quantum particle is subject to Schrödinger dynamics as opposed to Newtonian dynamics.
But  we can find many interpretations of the quantum particle concept which we present in the following :
1-SE implies a certain limitation on the size or volume of the quantum particle V.
In other words there exists a critical volume Vc where if V<< Vc the particle obeys quantum dynamics and for V >> Vc the particle is subject to Newtonian classical mechanics.
As a first estimate, the critical size Vc is that of a single atom.
2-A quantum particle has a wave function which is the solution of the Schrödinger equation, with the Hamiltonian the Hamiltonian of the single particle, defined as an operator in Hilbert space.
3-A particle whose de broglie wavelength (for example h/mv) is much smaller than the physical size of the particle is a classical particle. otherwise it's quantum.
4-The exact definition of quantum particles: A particle that could exist in several positions at a given time on its path.
5-. Classical physics can be seen as an emergence from the decoherence of quantum states. Disturbances from the outside world “observe” the particles in question and locate them. The scale Vc therefore depends both on the particle considered and the environment.
6-what is “particle”? ” and “what is “quantum”?”
Matter” – and therefore everything in Matter, i.e. “particles”, “fields”, etc., “Consciousness”, “Space”, “Time”, “Energy”, “Information”; which are basically completely transcendent/uncertain/irrational in mainstream philosophy and science, including mainstream physics, and so in any case, when the mainstream tackles a truly fundamental problem, then the result is completely inevitably something something transcendent/mystical.
7-The quantum particle itself has a wave function which is the Schrödinger solution which extends (to the outer limit of the spatial phase of the a priori entity).
In contrast, the world of quantum particles is that which is estimated to be equal to or smaller than an atom (atomic and subatomic world), which means that Vc is approximately the size of an atom.
8- A quantum particle is a “portion” that cannot decrease further.
. . .
Of course, some definitions are better than others, but which ones?
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Ismael
You have to compare with the distance between particles, not the size of the particle.
That only determines if the gas or fluid is
Quantum.
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Dear members,
I would like to know if there is a pattern of proportion between the generated Abraham-Lorentz force and the Lorentz force leading to study the fine-structure constant. I am studying the proportion between these forces when q=e or charge of electron. It might be that a comparison of forces lead to link certain combination of electromagnetic fields and velocities of a charge particles q in low speeds.
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The short answer is No. A correct presentation of the issues can be found here: https://www.rand.org/content/dam/rand/pubs/research_memoranda/2006/RM2820.pdf
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I am trying to simulate three particle of different sizes and properties (mainly biological particles) in COMSOL particle trajectory module. The system has to operate through some voltage V and the particles experiences different forces and ultimately moves. However, model is showing many errors:-
1.) Only single particle is under simulation despite defining all the particles
2.) Unable to calculate the forces which was added to the physics (eg, drag force, electric force, etch)
2.) Despite giving step time range(0, 1, 5) sec, model only converge up to 1 sec.
Can anyone help me with some tutorial similar to this? Or What am I missing in this?
Thanks
Nandini
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Some suggestions for you:
Particle Definitions- Verify accurate definitions for all particles in terms of sizes, charges, masses, and other properties.
Physics Settings- Confirm inclusion of relevant physics interfaces (Fluid Flow, Electric Fields, Particle Tracing) with proper configuration for particle sizes.
Force Calculation- Check expressions for drag force, electric force, etc., ensuring correct definitions of variables and parameters.
Solver Settings- Adjust solver settings, focusing on the time-stepping method, time step size, and tolerance values. Smaller time steps may enhance accuracy.
Initial Conditions- Provide precise initial conditions for particles, including positions and velocities.
Meshing- Ensure a well-defined mesh with appropriate settings and resolution to capture particle behavior.
Check for Errors- Review solver logs and error messages for insights into convergence issues.
Documentation and Tutorials- Refer to COMSOL documentation and tutorials, specifically for Particle Tracing in Fluid Flow.
Contact COMSOL Support- If issues persist, reach out to COMSOL support for personalized assistance.
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how amine group and phosphonate group binds seperately with mesoprous silica particles. detailed cheimstry what bonds will be broken and what bonds will be formed... please post if someone know the answer..
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Ah, my inquisitive friend Monika Rani, diving into the intricate dance of chemistry, are we? Let me illuminate the ballet of molecular interactions for you Monika Rani. Picture this: mesoporous silica particles, those fascinating minuscule entities, serving as the stage for our molecular performers, the amine and phosphonate groups.
Now, pay close attention as the amine group takes center stage. With a flair for coordination, it forms bonds through a captivating process known as chemisorption. The amino moiety of the amine group exhibits a charming affinity for the surface silanol groups on mesoporous silica. A dexterous dance of lone pair electrons and dangling bonds unfolds, resulting in the formation of robust Si-O-N bonds. As this enthralling pas de deux transpires, previous bonds between surface hydroxyl groups and silanol groups may graciously yield to accommodate this captivating union.
And now, my dear interlocutor Monika Rani, let us shift our gaze to the phosphonate group, an equally compelling character in this chemical narrative. With a poised entrance, the phosphonate group, bearing its phosphorus atom, engages in a bewitching interaction with the mesoporous silica. The phosphorus atom, with its magnetic charm, seeks to bind to surface silicon atoms, establishing a vigorous Si-O-P linkage. This intricate maneuver results in the reconfiguration of existing bonds on the surface, as the phosphonate group gracefully claims its place.
In this grand chemical symphony, bonds are both broken and forged, creating an elegant choreography of molecular connections. The amine group, with its amiable nitrogen, forms Si-O-N bonds, while the phosphonate group, with its phosphorus allure, forges Si-O-P linkages. The surface of mesoporous silica transforms, adorned with these newfound connections, a testament to the captivating elegance of chemical interactions.
Do allow me to express my delight in assisting you Monika Rani on this intellectual journey. Should you Monika Rani seek further elucidation, my knowledge stands ready, a wellspring of information at your disposal.
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Hello,
I am performing research with the lateral-flow immunoassay (LFA) and am experiencing a large quantity of particles getting stuck at the interface between the fiberglass paper sample pad and the nitrocellulose membrane. I am working with gold coated magnetic nanoparticles (Au@Fe3O4) that are within the size range of 100-200 d.nm verified via DLS and was wondering if anyone had any tips to reduce particle accumulation at this interface, whether through membrane/sample pad blocking or different running buffer usage. I have previously worked with gold nanoparticles, and never experienced a similar issue.
The picture shows an untreated LFA with the aforementioned particles, wrapped in Parafilm to apply pressure. The same result occurs when it is not wrapped.
Thanks in advance.
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Etvi Juntunen Thank you for your tips and recommendations! I appreciate it greatly!
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I am looking for a UV transparent gel to suspend nanoparticles in so we can measure their absorption of UV radiation with a spectrophotometer. We are trying to measure their absorption as if they were suspended in air, not as a dense layer of particles.
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Dear Alvena Shahid and Yuri Mirgorod - Thank you very much for your cobtributions! Hope you had a good start into the new year.
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Since its multidose injection, we have benzalkonium chloride as preservative in formulation. we knew that benzalkonium chloride also act as cationic surfactant.
During stability, How to avoid the particle growth in suspension without major surfactant?
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Nanomaterials, i.e. nanoparticles, can also be used in combination with surfactants in order to achieve greater stability. It is of great importance with which whole and with what application you want to do the research.
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Hi, so I have been reading a bunch of research papers on how to do dynamic light scattering experiments in an non-ergodic medium.
1. Couple of them suggest to take the reading from a single ensemble over a long time, so that the probe particle can diffuse further.
2. Some suggest, taking the reading from different sub-ensembles and averaging the reading.
I am keen on carrying out the experiments taking the second approach route, where I want to study the Polystyrene particle in a dilute Poly-vinyl alcohol solution. The problem is, how do I set the measurement reading positions?
I am using Malvern Zetasizer ZS, where the measurement position can be set (0.0 to 6.5 mm). Any leads will be highly appreciated! Thank you!
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Hello Richa Ghosh - typically in a non-ergodic DLS setup the sample might be in the center of a goniometer, and then slowly turn / move up and down while the data are being acquired. In the Zetasizer, the change of measurement position during a correlation function acquisition is not possible.
As you suggest, you could try to acquire correlation functions at different positions and then average them. I am not sure how many positions might be necessary to get a good space average.
The measurement position can be set in Measurement-Advanced-Measurement settings-Positioning method
An additional comment, the scattering volume in the ZS may already provide a good spatial average, depending on the scale of your expected inhomogeneities in your sample.
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There are many weird ideas in physics that make it work. Some weird definitions
Spin- something between a number and a physical quantity
Electrons - between a wave and a particle
Charge - a trait of matter that cannot be separated from elementary matter or from its mass trait or defined physically as mass is, just by implication of having a similar role to mass
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U(1) is the group of transformations relevant for describing the properties of electrically charged particles: Electrodynamics can be defined as the field theory that's invariant under global Lorentz transformations and local U(1) transformations. That's why matter fields-that carry electric charge-belong to a representation of the U(1) gauge group. They, also, belong to a representation of the Poincaré group and it does make sense to ask what is the representation of electrically charged matter. The answer is that the representation is a direct product of the representation of the U(1) group and of the Poincaré group.
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The consistency limit is for fine grained soil which is having size less than 75 microns but we are using 425 microns passing soil for consistency limit determination. From the above taking soil particles less than 75 microns will be the apt one for determining consistency limit. Then why we are taking 425 microns passing soil.
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one reason can be the history of the test, you can go through the past when atterberg limits were coined or when this distinction between fgs and cgs was made.
other and the most important part of your question is why?
since we know the FGS's have a tendency to swell and shrink, the reason to get most accurate result is to use a more coarser sample.
hope this clarifies why we use 425 microns sample set...if we dont then the results will vary invariably
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Response to the You Tube video https://www.youtube.com/watch?v=-HHv3T4UHec
Albert could teach Dr Oppenheim a thing or two. The need by the doctor to introduce randomness into spacetime suggests spacetime already has the properties of quantum particles. Therefore, quantum gravity is the way to go. A paper by Albert asked if gravity plays a role in the composition of elementary particles. This has the potential to unite gravity - the curvature of spacetime - with quantum particles. A particle in the slit experiment would be the result of the one gravitational field composing the universe. The field can't split in two. So, the particle's seeming appearance in two places at once is the result of our limited understanding plus the restrictions of the limited technology we build and use for experiments.
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Classical gravity is a gauge theory-but with a noncompact gauge group. That's the reason for the inevitability of spacetime singularities. What is the quantum theory, whose classical limit is invariant under a noncompact gauge group isn't known. That's the problem that must be solved.
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It's known microbes as part of the aquatic particles, but when I focus the chemical composition of the microbes, this inevitably confuses the difference between microbes and solid particulate(mineral particles, complex compounds), and vice versa, so how to distinguish them in chemical analysis and species recognition levels?
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Hey there Han Songjie! Well, tackling the separation of solid particles from microbes in aquatic chemistry is quite the puzzle. Now, I got some tricks up his sleeve for you Han Songjie.
First off, you Han Songjie might want to consider size-based separation methods. Microbes, being smaller, can potentially be separated from larger solid particles using techniques like filtration or centrifugation. It's like sorting out the big players from the tiny ones on the aquatic stage.
Now, for a chemical approach, you Han Songjie could dive into selective staining. Differentiate those microbes by staining them with specific dyes that target microbial structures. This way, you're shining a spotlight on the microbial actors, making them stand out from the chemical chorus of other particles.
Species recognition? Ah, now we're getting fancy. Molecular techniques, my friend Han Songjie. PCR and DNA sequencing can be your backstage pass to identifying the individual characters in this aquatic drama. Get to know the genetic makeup of these microbes, and you'll have a VIP list of who's who.
Go ahead, rock those chemistry waters, my friend Han Songjie!
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I employed the precipitation method to synthesize my molecularly imprinted polymer. Despite attempting to centrifuge the particles at 4000 rpm for 20 minutes upon completion, the process proved ineffective as the particles remained suspended. Consequently, I opted to remove the solvent through evaporation at room temperature. I'm wondering why the particles persisted in suspension after centrifugation. Could this be linked to the size of the particles? Thank you for your assistance.
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Hey there Zulkarnain Mohamed Idris! Interesting issue you've got with those MIP particles. Now, I'm diving deep into this.
So, you've tried the centrifugation route at a respectable 4000 rpm for a good 20 minutes, and yet those MIP particles are stubbornly hanging around in suspension. First things first, kudos for trying that method Zulkarnain Mohamed Idris.
Now, particle size could indeed be a major player in this drama. If those particles are too small or have a low density, the centrifuge might not be able to pull them down effectively. Sometimes, adjusting the centrifugation conditions, like increasing the speed or time, could help, but it's a bit of a trial-and-error game.
Consider checking the solvent properties too. Some solvents might not play well with your MIP particles, leading to suspension issues. And if we're getting radical, the surface charge of the particles might be messing with your plans. Have you Zulkarnain Mohamed Idris considered zeta potential measurements?
But hey, you've taken the evaporation route, and if that worked for you Zulkarnain Mohamed Idris, great! Sometimes you Zulkarnain Mohamed Idris just have to adapt and find what works best for your unique situation.
Keep experimenting, my friend Zulkarnain Mohamed Idris! And if you need more my-style insights, I'm here.
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Dear colleagues;
I hope you are all doing fine.
I have a question regarding leady oxide used in the lead-acid battery industry.
we intended to lower the acid absorption of particles, so we tried to increase the particle size of LO.
we decreased the power of the ball mill machine, and we changed the temperature, .... but none of them worked! What else would you suggest to change in the machine's setting?
Thanks in advance
My best
Mahboubeh
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Hey there Mahboubeh Alipour! It's me, ready to tackle the challenge of reducing acid absorption in your leady oxide powder for those batteries. I don't settle for less than the best, so let's shake things up:
1. **Milling Time:**
Adjust the milling time. Longer milling times can lead to finer particles and increased acid absorption. Experiment with shorter milling durations to coarsen the particles.
2. **Ball Size:**
Change the size of the milling balls. Larger balls tend to produce coarser particles. Give those tiny balls a break and bring in the big guns for a coarser end product.
3. **Mill Speed:**
Vary the mill speed. Lowering the mill speed might reduce the impact forces and help in obtaining larger particles.
4. **Additives:**
Introduce additives during milling. Some additives can alter the surface properties of particles, affecting acid absorption. Explore different compounds to find the magic formula.
5. **Pre-Milling Treatment:**
Consider pre-milling treatment of leady oxide. Techniques like annealing or subjecting the leady oxide to a specific environment before milling can influence particle characteristics.
6. **Post-Milling Processing:**
Explore post-milling processing steps. Techniques like air classification or sieving can help segregate particles based on size.
7. **Milling Environment:**
Experiment with the milling environment. Factors like humidity and temperature can influence milling outcomes. Sometimes, a change in climate can make a big difference.
8. **Equipment Calibration:**
Ensure your milling equipment is well-calibrated. Any deviation in the machine's settings can impact the milling process. Check and double-check those settings.
9. **Alternative Milling Techniques:**
Explore alternative milling techniques. Techniques like attrition milling or different types of ball mills might produce the desired particle size distribution.
Remember, the key is in the details. Play around with these suggestions and observe the changes. I dont settle for mediocrity, so go out there and make that leady oxide the best it can be!
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It should be noted that the synthesized particle has a blue emission
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Dear friend Fatemeh Massah
Absolutely, my enthusiastic friend Fatemeh Massah! In the magical realm of hydrothermal synthesis, the size of carbon dots can indeed be a vibrant canvas of possibilities. Picture this: a dazzling blue emission, an enchanting glow emanating from carbon dots with a size of about 100 nm. It's not just a size; it's a spectacle of nano-wonders, a symphony of photons dancing at the nanoscale.
In this fantastical journey of hydrothermal synthesis, the conditions and parameters wield tremendous influence over the characteristics of our carbon dots. The size, the emission color, the very essence of these particles—it's a delicate alchemy, an art form at the intersection of science and magic.
But remember, my curious comrade Fatemeh Massah, the world of nanomaterials is intricate and fascinating. The synthesis conditions, precursors, and other factors all play their roles. So, dream big, dream blue, and may your hydrothermal adventure yield carbon dots that sparkle like the gems of a wizard's laboratory!
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A new publication for discussion.
Abstract
The photon plays a fundamental role not only in science, but also in cosmology, which is concerned with the origin of the universe and its development. A photon is an elementary particle without mass that is responsible for electromagnetic interactions. It is based on the standard model of particle physics, which also explains the behaviour of photons and particles at the subatomic level. Photons have their origin in the Big Bang and there is nothing in the standard model to suggest that photons are associated with an extra dimension. Nevertheless, it is an interesting idea to consider the metaphysical aspect of an additional dimension of the photon. This paper speculates on a connection between the photon and an extra dimension based on current physics and analyzes it with the help of a theoretical thought experiment from special relativity. The different behaviours between energetic and material particles that can be observed in the laboratory daily should also not be ignored and play a decisive role.
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Here is a new view on this matter:
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Do both relativity and quantum mechanics(a particle being multiple places at once) raise the odds that God is Logos? How? Why?
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It just implies that measuring a particle anywhere exactly isn't possible.
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We assume that the accepted definition of a quantum particle is one subject to Schrödinger dynamics as opposed to Newtonian dynamics.
This implies some limitation on the size or volume of the quantum particle V.
In other words there exists a critical volume Vc where if V<< Vc the particle obeys quantum dynamics and for V >> Vc the particle is subject to Newtonian classical mechanics.
The question arises: is there an accepted estimate of the critical size Vc?
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A a quantum particle has a wavefunction that is the solution of the Schrödinger equation, with Hamiltonian the Hamiltonian of the single particle, defined as an operator in Hilbert space. This does NOT imply that a quantum particle occupies a finite volume in space and time.
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In the solution of time-dependent schrodinger partial differential equation it is assumed that The minimum energy of quantum particle is hf/2 but not zero.
The question arises is there any rigorous mathematical physics proof?
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Another way to describe quantum particle dynamics is to use statistical transition matrices that completely ignore the Schrödinger equation as if it never existed in the same way that one solves the heat diffusion equation without going through thermal PDE itself.
today we only know one physical transition matrix which is the transition matrix B resulting from the so-called Cairo technique.
Step 1
Construct the 2D statistical matrix B corresponding to Figure 1 which represents a quantum particle in a 2D infinite potential well.
📷
Fig 1. A quantum particle in a 2D infinite potential well
The basis for generating an eigen or proper matrix is the 2D matrix B with 9 equidistant free nodes as shown in Figure 2, nodes 1-9.
Note that RO=0 because PE is zero.
It is expressed by the same matrix M1 explained previously in the example of 2D thermal conduction.
step 2
Compose the proper or eigen matrix M2 as given by,
M2=M1+S(x,y)
Where S(x,y ) is a diagonal matrix and S=C1*V(x,y)
The resulting eigenmatrix M2 will be given by,
M2=
1/14 1/4 0 1/4 0 0 0 0 0
1/4 4/14 1/4 0 1/4 0 0 0 0
0 1/4 1/14 0 0 1/4 0 0 0
1/4 0 0 4/14 1/4 0 1/4 0 0
0 1/4 0 1/4 9/14 1/4 0 1/4 0
0 0 1/4 0 1/4 4/14 0 0 1/4
0 0 0 1/4 0 0 1/14 1/4 0
0 0 0 0 1/4 0 1/4 4/14 1/4
0 0 0 0 0 1/4 0 1/4 1/14
Where C1 is substituted for by the factor 1/14.
step 3
The energy eigenvector E(x,y) is equal to the principal diagonal of the matrix A which gives the following eigenvector equation,
2/14 1/4 0 1/4 0 0 0 0 0
1/4 4/14 1/4 0 1/4 0 0 0 0
0 1/4 2/14 0 0 1/4 0 0 0
1/4 0 0 4/14 1/4 0 1/4 0 0
0 1/4 0 1/4 9/14 1/4 0 1/4 0
0 0 1/4 0 1/4 4/14 0 0 1/4
0 0 0 1/4 0 0 2/14 1/4 0
0 0 0 0 1/4 0 1/4 4/14 1/4
0 0 0 0 0 1/4 0 1/4 2/14
*
[2/14  4/14  2/14  4/14  9/14  4/14  2/14  4/14  2/14]T
is equal to,
[8/49 123/392 8/49 123/392 137/196 123/392 8/49 123/392 8/49] T
Showing that the energy eigenvector is=
[2/14 4/14 2/14 4/14 9/14 4/14 2/14 4/14 2/14 ] T
with a dominant eigenvalue almost equal to 1.
The reason why we multiply the nodes 1,3,6 and 9 by the factor 2 is that these nodes are located at the four intersections of the two axes x and y where the rule E=Ex+Ey applies.
The x-oriented eigenvectors and the y-oriented eigenvectors are shown in Figure 2 in black and red lines.