Can you please help with Part C? Quantum numbers can be thought of as labels for

Question

Can you please help with Part C?

Quantum numbers can be thought of as labels for an electron. Every electron in an atom has a unique set of four quantum numbers.

The principal quantum number n corresponds to the shell in which the electron is located. Thus n can therefore be any integer. For example, an electron in the 2p subshell has a principal quantum number of n=2 because 2p is in the second shell.

The azimuthal or angular momentum quantum number corresponds to the subshell in which the electron is located. s subshells are coded as 0, p subshells as 1, d as 2, and f as 3. For example, an electron in the 2p subshell has =1. As a rule, can have integer values ranging from 0 to n1.

The magnetic quantum number m corresponds to the orbital in which the electron is located. Instead of 2px, 2py, and 2pz, the three 2p orbitals can be labeled 1, 0, and 1, but not necessarily respectively. As a rule, m can have integer values ranging from to +. The spin quantum number ms corresponds to the spin of the electron in the orbital. A value of 1/2 means an "up" spin, whereas 1/2 means a "down" spin.

Part A

What is the only possible value of m for an electron in an s orbital?

Express your answer numerically.

0

Correct

Since the allowed values for m range from to +, once you know the value for you know the values for m.

Part B

What are the possible values of m for an electron in a d orbital?

Express your answer numerically with sequential values separated by commas.

-2,-1,0,1,2

Correct

Since the allowed values for m range from to +, once you know the value for you know the values for m.

Part C

Which of the following set of quantum numbers (ordered n, , m, ms) are possible for an electron in an atom?

Check all that apply.

3, 2, 0, -1/2 -4, 3, 1, 1/2 3, 2, 2, -1/2 5, 3, -3, 1/2 3, 1, -2, -1/2 3, 3, 1, -1/2 2, 1, 0, -1 4, 2, 3, -1/2

Explanation / Answer

Part A

The value of l=0 for s-orbital and the values will vary from -l to l, hence the only possible value is (ml=0)

Part B

The value of l=2 for d-orbital and the values will vary from -l to l, hence the possible value are (-2,-1,0,1,2)

Part C

3,2,0,-1/2 = 3d electron

-4,3,1,1/2 = (not possible, since n cannot be negative)

3,2,2,-1/2 = 3d electron

5,3,-3,1/2 = 5f electron

3,1,-2,-1/2 = (not possiblem, since if l is 1, then ml can only take values -1,0,1)

3,3,1,-1/2 = (not possible since maximum value of l=n-1)

2,1,0,-1 = (not possible, since ms can be either +1/2 or -1/2 but not 1)

4,2,3,-1/2 = (not possible, since ml vlaue can't be greater than l )

Hence the correct answers are

3,2,0,-1/2 = 3d electron

3,2,2,-1/2 = 3d electron

5,3,-3,1/2 = 5f electron

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