Scattering Definition and 918 Threads

Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, is forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass. In conventional use, this also includes deviation of reflected radiation from the angle predicted by the law of reflection. Reflections of radiation that undergo scattering are often called diffuse reflections and unscattered reflections are called specular (mirror-like) reflections. Originally, the term was confined to light scattering (going back at least as far as Isaac Newton in the 17th century). As more "ray"-like phenomena were discovered, the idea of scattering was extended to them, so that William Herschel could refer to the scattering of "heat rays" (not then recognized as electromagnetic in nature) in 1800. John Tyndall, a pioneer in light scattering research, noted the connection between light scattering and acoustic scattering in the 1870s. Near the end of the 19th century, the scattering of cathode rays (electron beams) and X-rays was observed and discussed. With the discovery of subatomic particles (e.g. Ernest Rutherford in 1911) and the development of quantum theory in the 20th century, the sense of the term became broader as it was recognized that the same mathematical frameworks used in light scattering could be applied to many other phenomena.
Scattering thus refers to particle-particle collisions between molecules, atoms, electrons, photons and other particles. Examples include: cosmic ray scattering in the Earth's upper atmosphere; particle collisions inside particle accelerators; electron scattering by gas atoms in fluorescent lamps; and neutron scattering inside nuclear reactors.The types of non-uniformities which can cause scattering, sometimes known as scatterers or scattering centers, are too numerous to list, but a small sample includes particles, bubbles, droplets, density fluctuations in fluids, crystallites in polycrystalline solids, defects in monocrystalline solids, surface roughness, cells in organisms, and textile fibers in clothing. The effects of such features on the path of almost any type of propagating wave or moving particle can be described in the framework of scattering theory.
Some areas where scattering and scattering theory are significant include radar sensing, medical ultrasound, semiconductor wafer inspection, polymerization process monitoring, acoustic tiling, free-space communications and computer-generated imagery. Particle-particle scattering theory is important in areas such as particle physics, atomic, molecular, and optical physics, nuclear physics and astrophysics. In Particle Physics the quantum interaction and scattering of fundamental particles is described by the Scattering Matrix or S-Matrix, introduced and developed by John Archibald Wheeler and Werner Heisenberg.Scattering is quantified using many different concepts, including scattering cross section (σ), attenuation coefficients, the bidirectional scattering distribution function (BSDF), S-matrices, and mean free path.

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  1. M

    Rutherford Scattering and relativistic effects

    Homework Statement n a Rutherford scattering experiment a target nucleus has a diameter of 3.5 10-14 m. The incoming has a mass of 6.64 10-27 kg. What is the kinetic energy of an particle that has a de Broglie wavelength equal to the diameter of the target nucleus? Ignore relativistic...
  2. C

    Nuclear Scattering Applets - Potential & Plane Wave Expansion

    Hello I have trouble understandig nuclear reactions. Does anyone know some good scattering applets on a potential(of arbitrary shape;not 1D). I am interested also in discussing partial wave expansion. And if there exists an applet to show me how can I approximate a plane wave with...
  3. S

    Probing Atomic Nuclei with Electron Scattering.

    Homework Statement To study the structure of the lead nucleus, electrons are fired at a lead target. Some of the electrons actually enter the nuclei of the target, and the deflection of these electrons is measured. The deflection is caused by the charge of the nucleus, which is distributed...
  4. K

    Help Christoph: Solve the Photon Scattering Problem

    Hallo I don't understand why I can't use Δλ = λ'- λ = h/(m·c) · ( 1 - cos φ ) and ΔE = h · c / Δλ for getting the energy ΔE which is transferred to the electron In school we did it like this: 1/f'- 1/f = h/(m·c) · ( 1 - cos φ ) <-> E' = hf' = hf/(1 + hf(1 - cos φ )/(mc^2))...
  5. M

    Maximum KE, Compton Scattering

    I am asked to find the maximum KE value of the recoiling electron involved in a Compton scattering situation. Obviously, the maximum final Kinetic Energy of the electron would result when as much momentum as possible is imparted on the electron as a result of the collision. If the incident...
  6. @

    Questions about Compton Scattering

    What equipment Compton used to measure the wavelenght shift in your experiment ? Some links talk about the use of bragg spectrometer others about the use of ionization chambers. In this link have some illustrations of spectras resultants of Compton experiments...
  7. D

    Cross section for scattering of gauge bosons and Majorana neutrinos

    For my diploma thesis I must provide a calculation that reproduces the results given on page 46 of the paper hep-ph/0309342 . For those who do not want to look it up, I briefly explain what it is about: It concerns the two-body scattering processes (1) N + V => L + H, (2) N + L => V + H, (3) N...
  8. I

    High energy electron scattering and proof of nucleus structure

    Hey all, I am currently revising for my Physics mock but i can't get my head around high energy electron scattering, and the proof this provides for the size of the nucleus. I have read from a variety of texts and some of the links on here but these have lead me to become even more...
  9. B

    Solving Compton Scattering Homework Statement

    Homework Statement The energy E and momentum P of a relativistic electron and energy ε and momentum p of a photon are related by: E^2 - P^2c^2 = m_{e}^2c^4 and \epsilon = pc let E_{i}, P_{i} and E_{f}, P_{f} denote the inital and final energies and momenta of the electron, and let...
  10. L

    Forces at Play in Geiger-Marsden Alpha Particle Scattering

    Homework Statement Which of the following forces is responsible for the scattering of an alpha particle by a gold atom in the Geiger-Marsden experiment? A. electrostatic force between the alpha particle and the electrons of the gold atom B. Electrostatic force between the alpha...
  11. T

    A scattering of light particles from a heavy stationary particles,.

    A scattering of light particles from a heavy stationary particles, the momentum of the light particles change direction after scattering, and we could use Born approximations. We also take that the initial momentum and the final momentum has the same magnitude. But how could it be when total...
  12. L

    How to Compute Differential Scattering Cross Section in a Central Potential?

    How can I compute the differential scattering cross section \sigma (\theta) d \theta for scattering in the central potential V(r) = \frac{k}{r^2} using classical mechanics?
  13. V

    Photoeffect and compton scattering

    I was asked question: "Why in case of photoelectric effect electrons closer to the atom are ejected and in case of Compton effect electrons in the outer shells are emitted from nucleus by x-ray photon?". Well I know that this topic is very deep and one has to carefully select words to explain...
  14. A

    Small Angle Scattering: Electrons & Angles

    Why are electrons elastically scattered at very small angles but not large angles?
  15. A

    Does Compton Scattering Affect the Phase Velocity of Light?

    Does Compton Scattering change the phase velocity of the incident light?
  16. L

    Exploring Photon Scattering: A Comprehensive Report on Its Concepts and Branches

    i am going to write a report about photon scattering, and i still do not familiar about the concept of how many embranchment of it i have to write about, if anyone can tell me any information about it that could be great help to me,then i appreciate to the people who help me here!
  17. F

    Electron scattering find acceleration

    Lead nucleus has charge = +82e and raadius R = 7.10*10^(-15) m permittivity of free space = 8.85*10^(-12) C^2/Nm^2 magnitude of charge on electron e = 1.60*10^(-19) C mass of electron = 9.11*10^(-31) kg find the acceleration 4R from the center of the lead nucleus. how do i do this...
  18. A

    Fundamental process of a photon elastically scattering from an electon

    I learned a lot from the discussion of the converse problem, photon absorption. What about this case? Perfectly elastic.
  19. J

    Simplifying scattering integral, goldstein derivation 3.4

    Hi everyone, could anyone give me a hint on Goldstein derivation 3.4? Starting from \theta = \pi - 2 \int_{r_{m}}^{\infty} \frac{s / r^{2} dr}{\sqrt{1 - V(r)/E - s^{2}/r^{2}}} they do a change of variables to get \theta = \pi - 4 s \int_{0}^{1} \frac{\rho d\rho}{\sqrt{r_{m}^{2} (1...
  20. S

    How Do You Derive the Angular Momentum Equation from Rutherford Scattering?

    http://img168.imageshack.us/my.php?image=fundn7.png d(chi)/dt =l/(mr^2), I don't see how to get there if you use the definition of angular momentum, you get l=r x mv(vectors where appropriate) so you can write v as v=dr/dt*r + rdx/dt*x where x is the symbol chi(close enough)and that r...
  21. N

    Calculating Neutron Peaks with Increased Kinetic Energy

    hi, in neutron scattering, if the lowest kinetic energy of a neutron is increased by a factor of 2, how do you work out the number of peaks produced? I have worked out the lowest kinetic energy for a beta-brass CuZn to be 2.37meV using [tex]E=\frac{\hbar^{2}k^{2}}{2m}[\tex] where...
  22. O

    Rutherford Scattering: Using Beam Current & Intensity

    How do you use a beam current in rutherford scattering? Is it related to the intensity? All the book's questions and reading talks about is intensity, briefly, but the teacher's giving beam current. Thanks!
  23. ZapperZ

    Magnetic neutron scattering in hole doped cuprate superconductors

    There is a good review article on inelastic neutron scattering experiments and results on hole-doped cuprate superconductors. One of the authors (Tranquada) was the first person to report experimentally on the possible existence of the stripe phase in such a compound using the same technique...
  24. D

    Understand Nuclear Scattering - Can Anyone Explain?

    Im not too clear on how the scattering process may be used to probe the excitaion structure of the nucleus. Can anyone explain this to me or direct me to somewhere in which i can read about it? Cheers
  25. O

    Compton effect with no scattering angle

    How do I find the endpoint energy for photons when an .75 MeV electron beams stops inside a tungsten target? I just don't understand how to solve it without the scattering angle.:confused:
  26. L

    Why Is Temperature Irrelevant in Calculating Compton Scattering Angle?

    if the compton wavelength shift is in scattering an electron is 0.29 pico-m, what is the photon scattering angle? (you make take T=600K) I don't know why I was told the that T=600K? \Delta \lambda= \frac{h}{mc} (1-cos\theta) \frac{h}{mc}=0.00243 nm 0.119341564=1-cos\theta...
  27. S

    Find the ratio of alpha particles scattering at any angle

    I'm working on a problem in which I'm asked to find the ratio of alpha particles scattering at any angle (assuming equal numbers of scattering nuclei per unit area) now I realize that nt = scattering nuclie per unit area. Does this mean that the above restriction sets nt to 1? Wondering...
  28. E

    Compton Scattering of of monochromatic light

    I'm working out a problem from a text concerning the scattering of monochromatic light by free electrons (Compton effect) which asks me to derive expressions for the wavelength shift, electron momentum, and electron scattering angle in terms of the photon scattering angle assuming that the...
  29. R

    X-Ray Scattering: AP = k/|k|.r on Page 43

    Just a quick question here. On page 43 of this link http://www.physics.gla.ac.uk/Physics4/2004-5/P4H_SSPI_complete.pdf Why is the distance AP = k/|k|.r and similarly for OB :confused: :confused:
  30. S

    Rutherford Scattering problem with a heavier nucleus

    An alpha particle approaches a Au (gold) nucleus with atomic mass number 197 with a speed of 1.5*10^7 m/s. The alpha particle is then scattered 49 degrees from the horizontal at the slower speed of 1.47*10^7 m/s. In what direction does the Au nucleus recoil below the x-axis (the horizontal)...
  31. P

    Determining mass in scattering process

    Suppose you have an unknown atom and you shoot an alpha particle at it in a nebula chamber. Then you measure the scattering angles of the alpha particle and the atom. You see they scatter in perpendicular directions. The problem is now to determine the mass of the unknown atom. The first...
  32. A

    Exploring Physics: Is the Rutherford Scattering Formula Necessary?

    i'm interested in physics, but i don't major in it... i look at physics in my free time, and i just came across the rutherford scattering formula and was wondering is it necessary to memorize it?
  33. B

    Was electron scattering observed before it was exlained?

    If a beam of electrons pass through a plane where the potental energy abruptly increases but not enough to classically stop the electrons, some of the beam will reflect. Was this affect, or anything like it, ever observed before it was explained by the wave model?
  34. J

    Scattering theory - phase shift - best approx.

    Hi all, we're looking at scattering theory in the QM course right now, and I've got a question concerning the approximative ways of calculating the phase shift \delta_l of the partial waves in the partial wave expansion of the scattered wave. One way (the semi-classical) to calculate it is...
  35. T

    Q-spacing, Bragg-spacing, D-spacing &amp; Repeat Distances Explained

    Could anyone tell me what the difference between Q-spacing Bragg-spacing D-spacing and repeat distance is? I've always thought that they were same, but seemingly not? What is the realtionship, what is Q? Its keeping me up at night!
  36. T

    X-ray Scattering: Bragg Spacing, D-Spacing, Q & Repeat Distance

    bragg spacing? how does it differ from d-spacing? and where does q fit in? And finally are all of these directly related to the repeat distance?
  37. Adrian Baker

    What is the Best Evidence for Quarks in Protons?

    Electron scattering question... This question is from an 'A' level exam paper from June 2003: ----------------------------- Here are some facts about the scattering of a beam of high energy electrons from a sample of Protons: A - most of the electrons in...
  38. J

    Compton Scattering: Calculating Wavelength from Energy

    If the maxmimum energy imparted to an electron in Compton scattering is 45 keV what is the wavelength of the incident photon? So a compton scattering happens and the energy is 45 keV and I need to find the wavelength of the photon incident to this electron. I think I need to use Lambda =...
  39. wolram

    How Does Particle Scattering Work in Loop Quantum Gravity?

    http://arxiv.org/PS_cache/gr-qc/pdf/0502/0502036.pdf Particle scattering in loop quantum gravity Leonardo Modesto and Carlo Rovelli Centre de Physique Th´eorique de Luminy, Universit´e de la M´editerran´ee, F-13288 Marseille, EU (February 9, 2005) We devise a technique for defining and...
  40. V

    How Is the Scattering Angle Measured in Lidar VSF Applications?

    How is the angle determined in volume scattering function in water for a lidar application? The volume scattering function(VSF) for water is given by, VSF(teta) = A(lambda, S)*(1-cos power 2of teta(1-delta)/(1+delta)) where teta is the direction of scatterred radiation...
  41. V

    What Is the Minimum Energy of a Photon in a Compton Collision with a Proton?

    For some reason I don't feel like I was given all of the information on this question: A proton at rest is struck by a photon in a Compton collision. If the recoil kinetic energy of the proton is 4.5 MeV, what is the minimum energy of the incident photon (in MeV)? (Take the mass of the proton...
  42. P

    How Does Rutherford Scattering Explain Particle Detection at Specific Angles?

    A) While reproducing the Rutherford scattering experiment in an advanced laboratory class, a student uses a gold foil with thickness 16.7 nm. The radioactive source emits a particles at 10.50 MeV, and the detector is placed at 24.5 cm from the target foil. What fraction of the a particles is...
  43. marcus

    How Does Loop Quantum Gravity Approach Particle Scattering?

    new today http://arxiv.org/abs/gr-qc/0502036 Particle scattering in loop quantum gravity Leonardo Modesto, Carlo Rovelli 4 pages "We devise a technique for defining and computing n-point functions in the context of a background-independent gravitational quantum field theory. We...
  44. J

    How Does Momentum Transfer Affect Scattering Angles in Rutherford Scattering?

    Calculate the Rutherford cross section for a 10 MeV alpha particle scattered at firstly an angle greater than 90 degrees and secondly for an angle greater than 10 degrees. What does the relative magnitudes tell you in relation to the probabilities of the momentum transfer at large and small...
  45. O

    Electromagnetic Wave Scattering

    Hi everyone, Have anyone ever seen a paper on "Depolarization and Scattering of Electromagnetic Wave form Moving Surface with Roughness" or something relevant? I'll be thanks if give me a reference. Cheers
  46. E

    Has Anyone Explored 3D Number Scattering?

    has anyone investigated the three-d scattering of numbers? FYI: for any base take the symbols that represent the numbers arrange them in a rectangular or square grid from a starting point, follow them in a square, rectangle, or diamond until you construct a number of 2n digits...
  47. Y

    Photoelectric effect - scattering differential cross section

    What is the differential cross section for photo-electric effect? Is there a paper that explains this in more detail? Thanks in advance for any responses!
  48. A

    Elastic Collision - Scattering

    Elastic Collision -- Scattering Before I ask my question, here's the problem in full, "A proton of mass mp, with initial velocity v0 collides with a helium atom, mass 4mp, that is initially at rest. If the proton leaves the point of impact at an angle of 45 degrees with its original line of...
  49. M

    What is the Meaning of Neutron Scattering Length?

    what is the physical meaning of the scattering length of neutrons? What does mean -ve scattering length( for instance for 'H' !)?? :smile: :smile:
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