For an atom of hydrogen where the quantum number n = 3, how many possible independent configurations of the atom exist (consider principal quantum number n, angular momentum quantum number l, magnetic quantum number ml, and magnetic spin quantum number ms)?

a. 18
b. 8
c. 32
d. 26
e. infinite


a.
For n = 3, l = 2, 1, 0; for each l, ml, = -l, -(l - 1), ..., (l - 1), l; and for each of the states given by n, l, and ml, ms = -1/2, 1/2. This corresponds to 18 individual states.

Physics & Space Science

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