Indicate the following numbers in each case: (a) The number of orbitals in the n

Question

Indicate the following numbers in each case: (a) The number of orbitals in the n = 2 shell (b) The number of subshells in the n = 4 shell (c) The number of orbitals in the 5f subshell (d) The number of orbitals in the 3p subshell (e) The maximum number of electrons in 4p orbital (f) The maximum number of electrons in 3s subshell (g) The maximum number of electrons in n = 3 shell (h) The maximum number of electrons in the 4f subshell Indicate if each of the following sets of quantum numbers is allowed n = 5, m = 3 m_l = 3 m_s = +1/2 ___________ n = 2, m = 2 m_l = 0 m_s = +1/2 ____________ n = 2, m = 1 m_l = -1 m_s = 0 ___________ n = 3, m = 2 m_l = -2 m_s = -1/2 __________ n = 1, m = 0 m_l = 1 m_s = -1/2 ________

Explanation / Answer

a)
for given n, number of orbital = n^2
for n=2,
number of orbital = n^2 = 2^2 = 4

b)
for n=4,
number of orbital = n^2 = 4^2=16

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

for f subshell, value of l = 3
so, number of orbital here = 2*3+1 = 7

d)
for p subshell, value of l = 1
so, number of orbital here = 2*1+1 = 3

e)
for given l , number of electrons = 2*number of orbital
= 2*(2l+1)

for p subshell, value of l = 1
so, number of orbital here = 2*(2*1+1) = 2*3 = 6

f)
for s subshell, value of l = 0
so, maximum number of electrons here = 2*(2*0+1) = 2*1 = 2

g)
for given n, maximum number of electrons = 2*n^2
for n=3,
maximum number of electrons= 2*(3)^2 = 18

h)
for f subshell, value of l = 3
so, number of orbital here = 2*3+1 = 7
maximum number of electrons = 2*7 = 14

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