Question

What are the possible values of I, m_I, m_s for n= 5? select all that apply.

I: 0, 1, 2, 3, 4, 5, 6

m_I: 0,

-1,+1

-2,+2

-3, +3

-4, +4

-5, +5

-6, +6

m_s:0

+1/2, -1/2

+1, -1

+3/2, -3/2

+2, -2

Answer 1

Principal quantum number,n, indicates the shell number of the electron.

Azimuthal quantum number,l, indicates the number of sub-shells within a given shell. For a given value of 'n', l can have n values ranging from 0 to n-1.

Magnetic orbital quantum number, m_l,indicates the number of orbitals within each sub-shell. For each value of l,  m_l can have values ranging from -l to +l.

Spin quantum number, m_s , indicates the spin of electron. It can have values +1/2 or -1/2.

For n=5,

Possible values of l = 0,1,2,3,4

Possible values of m_l

0, -----------------------------------[for l =0]

-1, 0, +1, --------------[for l =1]

-2,-1, 0, +1, +2, --------------[for l =2]

-3,-2,-1, 0, +1, +2,+3   --------------[for l =3]

-4,-3,-2,-1, 0, +1, +2,+3,+4 --------------[for l =4]

Possible values of m_s

-1/2 , +1/2

Therefore,the correct options from the given options are

I : 0, 1, 2, 3, 4

m_I : 0,

-1,+1

-2,+2

-3, +3

-4, +4

m_s: +1/2, -1/2