Write an equation to determine the number of possible values

Write an equation to determine the number of possible values of ml from the value of l.

Express your answer in terms of l.

Solution

Azimuthal quantum number (l) :

Azimuthal quantum number gives the information regarding the subshell in which the electron is present.

\'I\' can have values like 0, 1, 2 3.....

If l = 0 : S subshell

l = 1 : p subshell

l = 2 : d subshell

l = 3 : f subshell

Magnetic quantum number (ml) :

Magnetic quantum number gives the information regarding the sub subshell in which the electron is present.

ml can have values from (-l) to (+l)

I.e., possible ml values is given by

ml = (-l) to (+l)

For eg: if l = 2; then ml = [ -2, -1, 0, 1, 2]