. The values of 'm s ' is equal to - ½ and + ½ Table . Quantum numbers and its significance Shell Principal quantum number (n) maximum number of electron in a shell (orbital) 2n Azimuthal quantum number ( l ) = , .... (n- ) Maximum no.
of electron in a orbital ( l + ) Magnetic quantum number (m) different possible orientation of orbital Designation of orbitals in a given shell K ( ) = [ ( )+ ] = 1s L ( ) = 2s [ ( )+ ] = - , , + 2p y , 2p z , 2p x 11th Std Chemistry 11th Std Chemistry - - - - Shell Principal quantum number (n) maximum number of electron in a shell (orbital) 2n Azimuthal quantum number ( l ) = , .... (n- ) Maximum no. of electron in a orbital ( l + ) Magnetic quantum number (m) different possible orientation of orbital Designation of orbitals in a given shell M ( ) = 3s - , , + 3p y , 3p z ,3p x , [ ( )+ ] = - , - , , + , + 3d x2-y2, 3d yz , 3d z2 , 3d zx , 3d xy N ( ) = 4s - , , + 4p y , 4p z, 4p x - , - , , + , + 4d x2-y2, 4d xy , 4d z2 , 4d yz , 4d zx [ ( )+ ] = - , - , - , , + , + , + f y(3x2−y2), f z(x2−y2) , f yz2 , f z3 , f xz2 , f xyz , f x(x2−3y2) , The labels on the orbitals, such as p x , d z2 , f xyz etc. are not associated with specific 'm' values ?
Evaluate Yourself . How many orbitals are possible in the th energy level? (n= ) . .
Shapes of atomic orbitals: The solution to SchrÖdinger equation gives the permitted energy values called eigen values and the wave functions corresponding to the eigen values are called atomic orbitals. The solution (Ψ) of the SchrÖdinger wave