- #1

- 1

- 0

## Homework Statement

Calculate the smallest angle (in degrees) that the total angular momentum of an atom in a

**term can make with the z-axis.**

^{7}D## Homework Equations

^{2S+1}L

_{J}

## The Attempt at a Solution

Given that the total angular momentum of the atom is defined by the quantum number J, I started by finding all possible resultant J values for the term:

^{7}D:

2(S)+1 = 7

S = 3

D = L = 2

J = { (L+S),(L+S-1), .... , (L-S) }

Thus, J = 5, 4, 3, 2, 1

This is where I'm stuck, I literally have no clue how to go further in the angle calculation. This is a review problem for an exam, and it was never covered in class. Hopefully someone can share some insight. Thanks for any help!