Question

What is the number of different orbitals in each of the following subshells?

3d,4f,4p,5s

Answer 1

for 3d:

It corresponds to n=3 and l=2

for given l, number of orbitals = 2l+1

here l=2.

so,

number of orbitals = 2*2+1

number of orbitals = 5

Answer: 5 orbitals

for 4f:

It corresponds to n=4 and l=3

for given l, number of orbitals = 2l+1

here l=3

so,

number of orbitals = 2*3+1

number of orbitals = 7

Answer: 7 orbitals

for 4p:

It corresponds to n=4 and l=1

for given l, number of orbitals = 2l+1

here l=1

so,

number of orbitals = 2*1+1

number of orbitals = 3

Answer: 3 orbitals

for 5s:

It corresponds to n=5 and l=0

for given l, number of orbitals = 2l+1

here l=0.

so,

number of orbitals = 2*0+1

number of orbitals = 1

Answer: 1 orbitals