Question

In: Chemistry

Part C Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are...

Part C

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.

Hints

Check all that apply.

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

Solutions

Expert Solution

1) for l=1, ml can take the value from -1 to +1

so, ml can not be -2

not possible

2) spin quantum number can have value 1/2,-1/2

but, here spin is -2

so, not possible

3) for any n, l can have value 0 to n-1

here, n=2 so, lcan be 0 or 1

but, value of l given is 2

so, not posssible

4) possible

for n= 4, l can have value 0,1,2,3

for any l, ml can have -l to +l

spin always have value -1/2or+1/2

so possible

5) for any l, ml can have -l to +l

for l=3, ml =4 does not exist

so, not possible

6) value of n (principel quantum number) always have positive integeral value

n= -1 does not exist

so, not possible

7) possible

for n= 4, l can have value 0,1,2,3

for any l, ml can have -l to +l

spin always have value -1/2or+1/2

so, possible

8) possible

for n= 3, l can have value 0,1,2

for any l ml can have -l to +l

spin always have value -1/2or+1/2

hence, possible


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