Question

how are the quantum numbers n,l,m arrived at ? Explain the significance of these quantum numbers ?

Answer 1

The quantam number arrived by using Schrodinger's Equation

H^ Si = E SI

N = Tells about Shells (Energy Levels)

L = Tells about Sub SHells

M = Tells about Orbitals (Shape of Subshell/ Orientation)

Answer 2

Values of Quantum numbers can be found from the following -

-Value of principal quantum number 'n' is determined from its outer most shell for K value of n =1 for l shell value of n = 2 and so on.

-The value of Azimuthal quantum number l is all the possible values of n-1

-Magnetic quantum number 'ml' has the value of -n to +n

-And the value of spin quantum number 'ms' is +1/2,-1/2