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// Ex7_3 Page:118 (2014)
clc;clear;
l = 2; // Orbital angular momentum quantum number
s = 0.5; // Spin quantum number
state = ["D(5/2)", "D(3/2)"]; // States of the d-electron
j = [l + s, l - s]; // Total angular momentum quantum number
for i = 1:2
theta(i) = acosd((j(i)*(j(i)+1) - l*(l+1) - s*(s+1))/(2*sqrt(l*(l+1))*sqrt(s*(s+1))));
printf("\nThe angle between L and S for %s state = %5.2f degree", state(i), theta(i));
end
// Result
// The angle between L and S for D(5/2) state = 61.87 degree
// The angle between L and S for D(3/2) state = 135.00 degree
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