Question

How many l values are associated with n = 3? (b) How many ml values are associated with l = 1

Answer 1

a)

For n^th orbital possible values of azimuthal quantum number (subshell), l are from 0 to (n-1). Total of 'n' values.

In n=3, them l=0,1,2  thus there are 3 subshells i.e.s,p,d respectively.

For n=3, possible values of l and m_l​ are:

m_l​=0 for l=0; total m_l​ values =1

m_l​= −1,0,1 for l=1; total m_l​ values =3

m_l​=−2,−1,0,1,2 for l=2; total m_l​ values =5

Therefore in n=3, number of subshells( l) =3, orbitals=9

b)

Magnetic quantum number m_l​ have values from -l to +l and total of ( 2l+1 ) values.

m_l​=−1,0,1 for l=1; total m_l​ values = 3

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