Question

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

Check all that apply.

3, 4, 0, 1/2

4, 3, 4, -1/2

4, 3, -4, -1/2

-4, 3, 1, 1/2

5, 3, -3, 1/2

3, 2, 0, -2

4, 2, -1, -1/2

4, 2, 1, -1/2

Answer 1

option 1)

l must be less than n

Here value of n is 3

But value of l is 4

so, l can't be 4

Hence, this is unacceptable

option 2)

Value of l is 3

So, valid values of ml are [-3, -2, -1, 0, 1, 2, 3]

so, ml can't be 4

Hence, this is unacceptable

option 3)

Value of l is 3

So, valid values of ml are [-3, -2, -1, 0, 1, 2, 3]

so, ml can't be -4

Hence, this is unacceptable

option 4)

n must be a positive number

n can't be -4

Hence, this is unacceptable

option 5)

This is Acceptable

option 6)

ms can be -1/2 or 1/2.

It can’t be -2

Hence, this is unacceptable

option 7)

This is Acceptable

option 8)

This is Acceptable

Answer: option 5,7,8