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Unrestricted Hartree–Fock

Index Unrestricted Hartree–Fock

Unrestricted Hartree–Fock (UHF) theory is the most common molecular orbital method for open shell molecules where the number of electrons of each spin are not equal. [1]

8 relations: Coulson–Fischer theory, Fock matrix, John Pople, Open shell, Orbital overlap, Roothaan equations, Slater determinant, Spin contamination.

Coulson–Fischer theory

In theoretical chemistry and molecular physics, Coulson–Fischer theory provides a quantum mechanical description of the electronic structure of molecules.

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Fock matrix

In the Hartree–Fock method of quantum mechanics, the Fock matrix is a matrix approximating the single-electron energy operator of a given quantum system in a given set of basis vectors.

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John Pople

Sir John Anthony Pople, (31 October 1925 – 15 March 2004) was a British theoretical chemist who was awarded the Nobel Prize in Chemistry with Walter Kohn in 1998 for his development of computational methods in quantum chemistry.

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Open shell

In the context of atomic orbitals, an open shell is a valence shell which is not completely filled with electrons or that has not given all of its valence electrons through chemical bonds with other atoms or molecules during a chemical reaction.

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Orbital overlap

In chemical bonds, an orbital overlap is the concentration of orbitals on adjacent atoms in the same regions of space.

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Roothaan equations

The Roothaan equations are a representation of the Hartree–Fock equation in a non orthonormal basis set which can be of Gaussian-type or Slater-type.

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Slater determinant

In quantum mechanics, a Slater determinant is an expression that describes the wave function of a multi-fermionic system that satisfies anti-symmetry requirements, and consequently the Pauli principle, by changing sign upon exchange of two electrons (or other fermions).

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Spin contamination

In computational chemistry, spin contamination is the artificial mixing of different electronic spin-states.

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Redirects here:

Pople-Nesbet equations, Unrestricted Hartree-Fock.

References

[1] https://en.wikipedia.org/wiki/Unrestricted_Hartree–Fock

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