The initial kinetic energy minus the binding energy of the electron.

What is the maximum kinetic energy of the recoil electron of compton effect? At the start of his derivation, he had postulated an expression for the momentum of a photon from equating Einstein's already established mass-energy relationship of The photon energies are related to the frequencies by )�p�BV���R��% 7*�8Ip�" �,p�$�C���[����A��P`g��bH+8��"�{(ZC�`g�a�C*��6pT�H��3�DB�FO`]��л1�A�����^6�{�$�}���u�I6�����\���Kr�j��e��O�C�˵�Y�CY!ZO.����k� b��/;�`/��l1��ӳ�6�r��uv�e�8�Ϲd_&9;x���̳y�����7��OO�b^ۚ����NJ/����4u��u(�l�u� ���G��vnϦ���9�f�|ڟ}�VYwf����>� n�{l6�f��k>��(g��c6���9�/���)g�����NnH���C�}\�3�\�e{l��`쐽dG�{���ްcv�N������`�슽e��_�;/���e=����g}��!�1���l�fl���g���������|���|ԃr\��y�f`Q\]�%,����Y�ީx����;���Y7����M���p���g�N>��U���0� �S���B�>�A�9�8�M=� ����x���K��3�5��~��A����pM���`�#��5��F-0G�h�v�P��WX�04�퇇��X�����lG������Q�ǣ�����z.oG"���ƒ&�{��?�"B���I6�h8==y��YD���|goy�Yg��ȱ��+t��ڒ�?��d>��_� 2, The interaction between an electron and a photon results in the electron being given part of the energy (making it recoil), and a photon of the remaining energy being emitted in a different direction from the original, so that the overall Compton scattering is one of three competing processes when photons interact with matter. Compton scattering diagram showing the relationship of the incident photon and electron initially at rest to the scattered photon and electron given kinetic energy. Thus we get the output as a single peak.This wavelength is called Compton Wavelength, which has good agreement with the experimental results. 2 THEORY OF COMPTON EFFECT: Principle: h�b```��l�� �� Answer: Compton Effect. (a) What is the photon's wavelength after the collision? In the course of this collision, the incoming photon transfers some part of its energy and momentum to the target electron and leaves the scene as a scattered photon.

which, after evaluating the square and canceling and rearranging terms, further yields After the collision, the photon is detected with 650 keV of energy. In this situation we have (1 - cosθ) = 1 so Then by applying the laws if conservation of energy and momentum, the expression for Compton wavelength is derived.The collision occurs between the photon and an electron in the scattering materialThe electron is free and is at rest before collision with the incident photon.With these assumptions, let us consider a photon energy hγ colliding within electron at rest.During the collision process, a part of kinetic energy is given to the electron, which in turn increases the kinetic energy of the electron and hence it recoils at an angle of φ as shown.Let us find the energy and momentum components before and after collision.Total energy before collision = Total energy after collisionX-component of the scattered photon can be calculated from the figure.ii X-component  Momentum  of  recoil  electron  an  be  calculated  as followsWe know according to the law of conservation of momentumTotal Momentum before collision = Total Momentum after collisionY – component momentum of the incident photon = 0 II.

During the study, Compton found that wavelength is not dependent on the intensity of incident radiation. h��[�r�6~�����n�d$@�j+U�,Yv�#IN��5CI��9l�O�_ r8��d�T�$/�����j�@�@$��Z"µD�{q #�$i&Q� R2�E�I���u�����@���@j�ģ��qǠ!Q�B�� Gi�pE�D�@{��0 �0�t�cD)^NT��T�T�x���0�,p���I�u�r���� ���L�4ģ�Q 8W*H!

An incoming photon in this stream collides with a valence electron in the graphite target. Convincing evidence that light is made up of particles (photons), and that photons have momentum, can be seen when a photon with energy hf collides with a stationary electron. • All angles of scattering are possible. Using the Planck relationship and the relativistic energy expression, conservation of energy takes the form The fraction of the photon energy that is transferred depends on the scattering angle. Figure 1. Equation (1) relates the various energies associated with the collision. Inverse Compton scattering occurs when a charged particle transfers part of its energy to a photon. To keep the total momentum the same the electron has both x and y momentum, so its angle must be less than 90°. Arthur Compton studied this effect in the year 1922. (d) What is the electron's kinetic energy, in eV, after the collision?

Using the Planck relationship and the relativistic energy expression, conservation of energy takes the form At what angles θ and Ø does this occur? Show that the maximum kinetic energy of the recoil electron in Compton scattering is given by. Figure 1. ������@$�=,) �}��L�& 6-Drǀ��@�Q�fj�����e ��_� Cf.H(3JR����4�@� C� endstream endobj startxref 0 %%EOF 118 0 obj <>stream By measuring the scattered photons' energy and reversing the magnetisation of the sample, two different Compton profiles are generated (one for spin up momenta and one for spin down momenta). and a free electron. Compton Scattering Equation In his explanation of the Compton scattering experiment, Arthur Compton treated the x-ray photons as particles and applied conservation of energy and conservation of momentum to the collision of a photon with a stationary electron. What is Compton Effect? The Compton Effect was first demonstrated by A.H. Compton in 1927 (for which he received a 1927 Nobel Prize). Since the electron gains energy, it recoils with velocity’s’. Find the kinetic energy and angle of the scattered electron. Some of the energy and momentum is transferred to the electron (this is known as the Compton effect), but both energy and momentum are conserved in this elastic collision. Explain why Compton shift is not observed with visible light. Equating the alternate expressions for this momentum gives

Taking the difference between these two profiles gives the magnetic Compton profile (MCP), given by Some synchrotron radiation facilities scatter laser light off the stored electron beam. 14 0 obj <> endobj 60 0 obj <>/Filter/FlateDecode/ID[<3D7951047E91B548A5F00653B54BC43B><0AA86FB1131741C4A01E29EEF258E561>]/Index[14 105]/Info 13 0 R/Length 185/Prev 80272/Root 15 0 R/Size 119/Type/XRef/W[1 3 1]>>stream cosθ = 0 and θ must be 90°.


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