# What is the maximum number of electrons that can occupy the #l = 4# subshell? What are the possible sets of 4 quantum numbers for an electron in #n = 4# orbitals?

##### 1 Answer

The angular momentum quantum number refers to the type of orbital and it can have multiple values for a single energy level.

Its value can be determined from magnetic quantum number and principal quantum number.

#l = 0, 1, . . . , n-1#

Therefore in this case the energy level can be

**Qusetion 1** *What is the maximum number of electrons that can occupy a given subshell of #l = 4#*?

Starting with the first problem

As

First you to need to know the number of orbitals in the g subshell. Knowing that the number of degenerate orbitals is

#2l +1 = 2*4 + 1 = "9 orbitals"# ,

and as each orbital can hold 2 electrons, electrons in 9 orbitals

#= 9*2 = 18# #e^-#

**Question 2** *What are possible quantum numbers for an electron at energy level four?*

The possible quantum numbers for

#l = 0,1,2,3,#

#m_l " for " l = 3" = {-3,-2,-1,0,1,2,3}#

#m_l " for " l = 2" = {-2,-1,0,1,2}#

# m_l " for " l = 1" = {-1,0,1}#

# m_l " for " l = 0" = {0}#