Difference between revisions of "Pauli exclusion principle"
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The '''Pauli Exclusion Principle''' states that no two [[electron]]s in the same [[atom]] can have the same set of quantum numbers. This set is made up of | The '''Pauli Exclusion Principle''' states that no two [[electron]]s in the same [[atom]] can have the same set of quantum numbers. This set is made up of | ||
| − | * [[ | + | * [[Principal quantum number]] ''n'': this is the shell around the atom where the electron exists. The shells are represented by whole numbers. n can be 1,2,3.... |
| − | * | + | * Orbital quantum number ''l'' is the number of subshells within a shell. l can be 0,1... to (n-1) |
| − | * | + | * Magnetic quantum number ''m<sub>l</sub>'' is the number of orbitals within the subshell. m<sub>l</sub> can be 0,1...all the way to <sup>+</sup>/<sub>-</sub> l |
| − | * | + | * Spin quantum number ''m<sub>s</sub>'' is the spin of the electron. there are two spins per subshell. they are represented by a +1/2 or -1/2 |
| − | The Pauli exclusion principle follows from the requirement that | + | The Pauli exclusion principle follows from the requirement that [[fermion]]s must have antisymmetric wavefunctions. |
==References== | ==References== | ||
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[[Category:Chemistry]] | [[Category:Chemistry]] | ||
[[Category:Quantum Mechanics]] | [[Category:Quantum Mechanics]] | ||
| − | |||
Latest revision as of 12:55, April 6, 2017
The Pauli Exclusion Principle states that no two electrons in the same atom can have the same set of quantum numbers. This set is made up of
- Principal quantum number n: this is the shell around the atom where the electron exists. The shells are represented by whole numbers. n can be 1,2,3....
- Orbital quantum number l is the number of subshells within a shell. l can be 0,1... to (n-1)
- Magnetic quantum number ml is the number of orbitals within the subshell. ml can be 0,1...all the way to +/- l
- Spin quantum number ms is the spin of the electron. there are two spins per subshell. they are represented by a +1/2 or -1/2
The Pauli exclusion principle follows from the requirement that fermions must have antisymmetric wavefunctions.