Question

Provide the names of the three quantum numbers that come from the Schrodinger equation, a piece of information that each number provides about the orbital/wave function, and which term is associated with each quantum number: orbital, subshell, or shell.

Answer 1

Solving of Scrodingerequation gives three quatm numbers namely,

(1) Principal quantum number

(2) Azimuthal quantum number

(3) Magnetic quantum number

(1) Principal quantum number:

*It was proposed by Neils Bhor.

* It is denoted by 'n'

* It has the values like 1, 2, 3, 4 ....... or K, L, M, N .........

* It signifies Energy and size of shell

* As the 'n' increases energy and size of shell also increases.

(2) Azimuthal quanum number:

* It was proposed by Sommerfield

* it was denoted by 'l'

* 'l' values depends on 'n' values

* It has the values from 0 to (n-1)

* It signifies the shape of subshell

* If l = o that is s - subshell which is spherical in shape

l = 1 that p - subshell which is dumbbell in shape

l = 2 that d - subshell which is double dumbbell in shpae

l = 3 that is f - orbital which is four fold ( complex ) shape

(3) Magnetic quantum number:

* It was proposed by Lande.

* It is denoted by 'm'

* It depends on 'l' values.

* it has values from + l to - l through zero

* it has total vlues of 2l+1

* It signifies orientation of orbitals in space.

* it gives the nuber of orbitals in a subshell.

**** the term Shell is associated with each quantum number.