An electron has spin angular momentum and orbital angular momentum. For the 3.00 d electron in...

An electron has spin angular momentum and orbital angular momentum.

For the 3.00 d electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the z direction?

Expert Solution

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An electron has spin angular momentum and orbital angular momentum.

For the 5.00 d electron in scandium, what percent of its total orbital angular momentum is its spin angular momentum in the z direction?

Electronic configuration is [Ar] 3d^1 4s^2....

for the 3d state n=3.......

orbital angular momentum L = sqrt[L(L+1)] =sqrt[(2*3)] = 2.45 .....

here only one electron so it's spin quantum number s = (1/2)

spin angular momentum S = sqrt[s(s+1)] = sqrt(1/2)(3/2)] = 0.866....

percentage is( spin angular momentum /orbital angular momentum )*100 = (0.866/2.45)*100 = 35.34 %

genius_generous answered 2 years ago

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