Every electron in an atom is described by a unique set of four quantum numbers:

Question

Every electron in an atom is described by a unique set of four quantum numbers: n, l, ml, and m_s . The principal quantum number, n, identifies the shell in which the electron is found. The angular momentum quantum number, l, indicates the kind of subshell. The magnetic quantum number, ml, distinguishes the orbitals within a subshell. The spin quantum number, m_s, specifies the electron spin. Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n, l, ml,m_3). Identify the sets of quantum numbers that describe all the electrons in the ground state of a neutral beryllium atom, Be. Each set is ordered (n, l, m_l, m_s).

Explanation / Answer

A)

the rules are

l values ranges from 0 to n-1

and

ml values are from -l to +1

ms values should be either -1/2 or +1/2

1) 3 , -2 ,-2 , -1/2

l cannot be negative ,

so this is not valid

2) 3 , 2 , 0 , 1/2

l can take the value of 2

also ml range is -2 to +2

so

this is valid

3) 3,2,1 , 1/2

this is also valid

4) 4,2 , 1, 1/2

this is also valid

5)

2,2 , -1 , 1/2

we know that

l value should be from 0 to n- 1

in this case 0 to 1

so

l cannot take the value of 2

so

this is not valid

6)

3,-2, -1 ,0

l cannot take a negative value

so

this is not valid

7)

1,3 , 0 , 1/2

l cannot be greater than n

so

this is not valid

8)

2,1 , 0 , 1/2

this is valid

9)

4,3 , 5 ,-1/2

ml values should be from -3 to + 3

so

this is not valid

10)

3,3 , 1 , 1/2

l value should be from 0 to n- 1

in this case 0 to 2

so

this is not valid

11)

0,2 , 0 , 1/2

n cannot be 0

so

this is not valid

12)

1, 0, 0 , 1/2

this is valid

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