Question

How can a orbitals cannot accomodate more than 2 electrons and p-orital 6 electrons?

Answer 1

lectrons are Fermions, i.e, they follow Fermi-Dirac statistics, or Pauli's exclusion principle.

The state of any electron is defined by43 numbers

The principal quantum number (n) cannot be zero. The allowed values of n are therefore 1, 2, 3, 4, and so on.

The angular quantum number (l) can be any integer between 0 and n - 1. If n = 3, for example, l can be either 0, 1, or 2.

The magnetic quantum number (m) can be any integer between -l and +l. If l = 2, m can be either -2, -1, 0, +1, or +2.

Spin number s it can be +1/2 or -1/2

So Pauli's exclusion principle says that all three numbers can not be same for two electrons in an atom.

For S orbital (l=0)

n l m s

1 0 o -+1/2(Which means 2 electrons)

for P orbital

n l m s

2 1 0,+_1 -+1/2 (2 states in m each state can have +1/2,-1/2 spin)

and so on.