Question

Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,ℓ,mℓ,ms).

Check all that apply.

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Check all that apply.

3,2,2,1/2

4,2,1,1/2

3,2,0,1/2

0,2,0,1/2

4,3,4,-1/2

3,0,0,1/2

2,-1,1,-1/2

3,2,1,0

2,2,1,-1/2

2,1,-1,-1/2

3,3,-1,1/2

3,3,1,1/2

Answer 1

for option 1:

This is valid

for option 2:

This is valid

for option 3:

This is valid

for option 4:

n must be a positive number

n can't be 0

Hence, this is not valid

for option 5:

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 not valid

for option 6:

This is valid

for option 7:

l can't be negative

l can't be -1

Hence, this is not valid

for option 8:

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

It can’t be 0

Hence, this is not valid

for option 9:

l must be less than n

Here value of n is 2

But value of l is 2

so, l can't be 2

Hence, this is not valid

for option 10:

This is valid

for option 11:

l must be less than n

Here value of n is 3

But value of l is 3

so, l can't be 3

Hence, this is not valid

for option 12:

l must be less than n

Here value of n is 3

But value of l is 3

so, l can't be 3

Hence, this is not valid