Question

What are the allowed values for each of the four quantum numbers: n, l, ml, and ms?

a) n: all positive integers; l: 0 to (n-1); ml: -l to +l; ms: +1/2 or -1/2.
b) n: positive even integers; l: 1 to n; ml: 0 to l; ms: +1/2 or -1/2.
c) n: prime numbers; l: 0 to n; ml: -n to +n; ms: +1 or -1.
d) n: all real numbers; l: 0 to n/2; ml: -n to +n; ms: +1 or -1.

Answer 1

The allowed values for each of the four quantum numbers are...

Step-by-step explanation:

The allowed values for each of the four quantum numbers are as follows:

n:

All positive integers. For example, 1, 2, 3,...

l:

From 0 to (n - 1). For example, if n = 3, l can be 0, 1, or 2.

ml:

From -l to +l. For example, if l = 2, ml can be -2, -1, 0, 1, or 2.

ms:

+1/2 or -1/2. These are the allowed values for the spin quantum number.