Pauli exclusion principlePauli exclusion principle and resonanceIs there an energy cost associated with flipping the spin of an electron?Pauli's Exclusion PrincipleIs there any connection between “static correlation” and the Born-Oppenheimer approximation?MO Theory: Why do hydrogen and lithium bond, but hydrogen and helium don't?Do non-ergodic chemical reactions exist?Use of basis set in DFT (Density Functional Theory)Total irreducible representation of a quantum system - Slater determinant?What exactly is meant by 'multi-configurational' and 'multireference'?Relationship between the 2nd theorem of Hohenberg and Kohn and the Variational Principle
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Pauli exclusion principle
Pauli exclusion principle and resonanceIs there an energy cost associated with flipping the spin of an electron?Pauli's Exclusion PrincipleIs there any connection between “static correlation” and the Born-Oppenheimer approximation?MO Theory: Why do hydrogen and lithium bond, but hydrogen and helium don't?Do non-ergodic chemical reactions exist?Use of basis set in DFT (Density Functional Theory)Total irreducible representation of a quantum system - Slater determinant?What exactly is meant by 'multi-configurational' and 'multireference'?Relationship between the 2nd theorem of Hohenberg and Kohn and the Variational Principle
$begingroup$
Pauli exclusion principle states that 'No two electron can exist in same state' or 'No two electron can have same set of quantum numbers'.
But in reality there is no state of electron. The state is of whole system which is composed of many electrons. It is our approximation that each electron is described by a single wave-function which we called spinorbital. So what does that statement even mean in reality?
Quantum numbers is only exact for hydrogen atom. What does quantum number even mean for a electron in a many electron system.
quantum-chemistry molecular-orbital-theory theoretical-chemistry
edited 1 hour ago
Mithoron
3,65682846
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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add a comment |
$begingroup$
Pauli exclusion principle states that 'No two electron can exist in same state' or 'No two electron can have same set of quantum numbers'.
But in reality there is no state of electron. The state is of whole system which is composed of many electrons. It is our approximation that each electron is described by a single wave-function which we called spinorbital. So what does that statement even mean in reality?
Quantum numbers is only exact for hydrogen atom. What does quantum number even mean for a electron in a many electron system.
quantum-chemistry molecular-orbital-theory theoretical-chemistry
edited 1 hour ago
Mithoron
3,65682846
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Pauli exclusion principle states that 'No two electron can exist in same state' or 'No two electron can have same set of quantum numbers'.
But in reality there is no state of electron. The state is of whole system which is composed of many electrons. It is our approximation that each electron is described by a single wave-function which we called spinorbital. So what does that statement even mean in reality?
Quantum numbers is only exact for hydrogen atom. What does quantum number even mean for a electron in a many electron system.
quantum-chemistry molecular-orbital-theory theoretical-chemistry
edited 1 hour ago
Mithoron
3,65682846
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Pauli exclusion principle states that 'No two electron can exist in same state' or 'No two electron can have same set of quantum numbers'.
But in reality there is no state of electron. The state is of whole system which is composed of many electrons. It is our approximation that each electron is described by a single wave-function which we called spinorbital. So what does that statement even mean in reality?
Quantum numbers is only exact for hydrogen atom. What does quantum number even mean for a electron in a many electron system.
quantum-chemistry molecular-orbital-theory theoretical-chemistry
quantum-chemistry molecular-orbital-theory theoretical-chemistry
edited 1 hour ago
Mithoron
3,65682846
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 1 hour ago
Mithoron
3,65682846
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 1 hour ago
Mithoron
3,65682846
edited 1 hour ago
Mithoron
3,65682846
edited 1 hour ago
Mithoron
3,65682846
3,65682846
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
asked 14 hours ago
LOKHANDE RUGWEDLOKHANDE RUGWED
292
292
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
LOKHANDE RUGWED is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
1 Answer
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$begingroup$
Wikipedia has the correct definition:
A more rigorous statement is that with respect to exchange of two identical particles the total wave function is antisymmetric for fermions, and symmetric for bosons. This means that if the space and spin co-ordinates of two identical particles are interchanged, then the wave function changes its sign for fermions and does not change for bosons.
The textbook shorthand you quote, 'No two electron can have same set of quantum numbers', only makes sense when you are using the one-electron approximation. As you move beyond that approximation, you also have to move beyond this shorthand definition.
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
$endgroup$
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1 Answer
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1 Answer
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$begingroup$
Wikipedia has the correct definition:
A more rigorous statement is that with respect to exchange of two identical particles the total wave function is antisymmetric for fermions, and symmetric for bosons. This means that if the space and spin co-ordinates of two identical particles are interchanged, then the wave function changes its sign for fermions and does not change for bosons.
The textbook shorthand you quote, 'No two electron can have same set of quantum numbers', only makes sense when you are using the one-electron approximation. As you move beyond that approximation, you also have to move beyond this shorthand definition.
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
$endgroup$
add a comment |
$begingroup$
Wikipedia has the correct definition:
A more rigorous statement is that with respect to exchange of two identical particles the total wave function is antisymmetric for fermions, and symmetric for bosons. This means that if the space and spin co-ordinates of two identical particles are interchanged, then the wave function changes its sign for fermions and does not change for bosons.
The textbook shorthand you quote, 'No two electron can have same set of quantum numbers', only makes sense when you are using the one-electron approximation. As you move beyond that approximation, you also have to move beyond this shorthand definition.
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
$endgroup$
add a comment |
$begingroup$
Wikipedia has the correct definition:
A more rigorous statement is that with respect to exchange of two identical particles the total wave function is antisymmetric for fermions, and symmetric for bosons. This means that if the space and spin co-ordinates of two identical particles are interchanged, then the wave function changes its sign for fermions and does not change for bosons.
The textbook shorthand you quote, 'No two electron can have same set of quantum numbers', only makes sense when you are using the one-electron approximation. As you move beyond that approximation, you also have to move beyond this shorthand definition.
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
$endgroup$
Wikipedia has the correct definition:
A more rigorous statement is that with respect to exchange of two identical particles the total wave function is antisymmetric for fermions, and symmetric for bosons. This means that if the space and spin co-ordinates of two identical particles are interchanged, then the wave function changes its sign for fermions and does not change for bosons.
The textbook shorthand you quote, 'No two electron can have same set of quantum numbers', only makes sense when you are using the one-electron approximation. As you move beyond that approximation, you also have to move beyond this shorthand definition.
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
answered 9 hours ago
Karsten TheisKarsten Theis
2,853434
2,853434
add a comment |
add a comment |
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