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+// Chapter 4 Additional Example 3

+//==============================================================================

+clc;

+clear;

+

+// input data

+Ei      = 1.02*10^6         // photon energy in eV

+theta   = 90;               // scattered angle in degrees

+h       = 6.625*10^-34      // plancks constant

+mo      = 9.1*10^-31       // mass of electron in Kg

+e       = 1.6*10^-19       // charge of electron

+c       = 3*10^8;          // vel. of light in m/s

+

+// Calculatioms

+// from Compton theory ,Compton shift is given by

+// lamda' - lamda = (h/(mo*c))*(1-cosθ)

+theta_r = theta*%pi/180;     // degree to radian conversion

+c_lamda = ( (h/(mo*c))*(1-cos(theta_r))) // Change in wavelength in m

+dv      = c/c_lamda;         // change in frequency of the scattered photon

+dE      = (h*dv)/e           // change in energy of scattered photon in eV

+// This change in energy is transferred as the KE of the recoil electron

+Er      = dE;                // Energy of recoil electron

+Es      = Ei - Er            // Energy of scattered photon

+

+

+// Output

+mprintf('Energy of the recoil electron = %3.4f MeV\n Energy of the Scattered photon = %3.4f MeV',Er*10^-6,Es*10^-6);

+//==============================================================================