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// Ex3_1 Page:45 (2014)
clc; clear;
t = 2e-06; // Thickness of gold foil, m
T = 8; // Kinetic energy of alpha-particles, MeV
rho = 19.3; // Density of gold foil, g/cm-cube
k = 8.984e+09; // Coulomb's constant, N-Sq.m/Sq.C
Z = 79; // Atomic number of gold
Z_prime = 2; // Atomic number of He nucleus
e = 1.6e-019; // Charge on an electron, C
A = 197; // Atomic weight of gold
N = 6.02e+023; // Avogadro's number, atoms/mol
n = N*rho*1e+06/A; // Number density of atoms, atoms/metre-cube
b = k*Z*Z_prime*e^2/(2*T*1e+06*e); // Impact parameter for alpha particle, m
f = %pi*b^2*n*t; // Fraction of alpha-particles scattered at angles greater than 90 degrees
printf("\nFraction of alpha-particles scattered at angles greater than 90 degrees = %3.1e", f);
// Result
// Fraction of alpha-particles scattered at angles greater than 90 degrees = 7.5e-05
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