what is Pauli's exclusion principle?
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Answer:
Pauli's Exclusion Principle states that no two electrons in the same atom can have identical values for all four of their quantum numbers. In other words, (1) no more than two electrons can occupy the same orbital and (2) two electrons in the same orbital must have opposite spins
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The Pauli exclusion principle is the quantum mechanical principle which states that two or more identical fermions (particles with half integral spin) cannot occupy same quantum states within the quantum system
This principle was formulated by Austrian physicist Wolfgang Pauli in 1925 for electrons and later extend to all the fermions in the spin statistic theorem of 1940.
In case of electrons of the atoms it can be stated as it is impossible for two electrons of a poly-electrons atom to have the same values of the four quantum numbers :
==>The principle quantum number (n)
==>The azimuthal quantum number (l)
==>The magnetic quantum number (ml)
==>The spin quantum number (ms)
For example - if two electrons reside in the same orbital the n, l, ml values are same the their ms must be different and thus the electrons have opposite half-integral spin projections +1/2 and -1/2
Particles with integer spin, or bosons are not subject to Pauli exclusion principle any no of identical spin. Any no of identical bosons can occupy the same quantum state.
The Pauli exclusion principle explains the wide variety of phenomena.
One particular important consequence is of the principle is the elaborate electron shell structure of atoms and the way atoms share electrons, explaining the variety of chemical elements and chemical combinations.
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