The
Pauli exclusion principle is the
quantum mechanical principle that states that two
identical fermions (particles with half-integer
spin) cannot occupy the same
quantum state simultaneously. In the case of
electrons, it can be stated as follows: it is impossible for two electrons of a poly-electron atom to have the same values of the four
quantum numbers:
n, the
principal quantum number, , the
angular momentum quantum number,
m, the
magnetic quantum number, and
ms, the spin quantum number. For two electrons residing in the same
orbital,
n, , and
m are the same, so
ms, the spin, must be different, and thus the electrons have opposite half-integer spins, 1/2 and -1/2. This principle was formulated by Austrian physicist
Wolfgang Pauli in 1925.