mulliken charge analysis - EAS

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    https://en.wikipedia.org/wiki/Mulliken_population_analysis

    Mulliken charges arise from the Mulliken population analysis and provide a means of estimating partial atomic charges from calculations carried out by the methods of computational chemistry, particularly those based on the linear combination of atomic orbitals molecular orbital method, and are

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    Off-diagonal terms
    One problem with this approach is the equal division of the off-diagonal terms between the two basis functions. This leads to charge separations in molecules that are exaggerated. In a

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    Partial charge, for other methods used to estimate atomic charges in molecules.

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  2. https://chem.libretexts.org/Bookshelves/Physical...

    Apr 21, 2022 · Mulliken's interpretation of this result is that one electron in molecular orbital ψ t contributes c i j 2 to the electronic charge in atomic orbital φ j, c i k 2 to the electronic charge in atomic orbital φ k, and 2 c i j c i k S j k to the electronic charge in the overlap region between the two atomic orbitals.

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    • https://www.researchgate.net/post/What-iare...

      The mulliken charges are charges based in the local electron density (charge density) its depend strongly of the basic set and the functional, because it is …

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      • cmt.dur.ac.uk/sjc/thesis_dlg/node40.html

        The Mulliken analysis which turns the projection of the planewaves onto the pseudo-atomic orbitals, into quantified charges per atom, proceeds as described in Mulliken's work , , , . Essentially the charge per atom is obtained from the weighted total of the product of the density and overlap matrices and the interested reader is advised to consult the aforementioned …

      • Mulliken theory of charge transfer - Big Chemical Encyclopedia

        https://chempedia.info/info/mulliken_theory_of_charge_transfer

        The Mulliken charges partitioning scheme was used to quantify the amount of charge transfer between molecules. Hush applied Mulliken s theories of the transition dipole moment of charge transfer bands to the specific question of IT bands in mixed-valence complexes.

      • https://chemistry.stackexchange.com/questions/...

        Aug 10, 2019 · Mulliken atomic charges can be defined as[1]: $$q_A = Z_A-\sum_{\mu\in A}\left( \mathbf{P\cdot S} \right)_{\mu\mu} \tag{Szabo 3.196}$$ Here I have used the same notation as in Szabo[1], with $\mathbf{P}$ being the density matrix and …

      • https://www.cup.uni-muenchen.de/ch/compchem/pop/mull1.html

        The following table lists the lithium charge in lithium fluoride as calculated with the Mulliken population analysis and a variety of Pople basis sets. The Becke3LYP/6-31G (d) optimized geometry with r (Li-F)=155.139 pm has been used for this purpose. population. basis set. q (Li, RHF) q (Li, B3LYP) Mulliken. STO-3G.

      • https://www.tau.ac.il/~ephraim/Mulliken analysis.pdf

        Mulliken characteristics • The sum of all the net and overlap populations equals the total number of electrons in the molecule: •oss atomic (A) population : Gr • Mulliken charge of atom A : Z. A =en. A • Mulliken’s matrix (M. rr =n. r. and M. rs =n. r-s) could be divided according to atomic indexes A, B, … Then number of blocks in the A-B part of the

      • https://www.researchgate.net/post/What-is-the...

        Mulliken charge is calculated directly based on density matrix (a special representation of electronic wavefunction), it is the oldest method for calculating atomic charge.

      • https://mattermodeling.stackexchange.com/questions/...

        Jun 30, 2020 · Mulliken population analysis. The Mulliken charge scheme is based on the Linear Combination of Atomic Orbitals (LCAO), so, it is based on the system wave function and was described in a series of papers by R. S. Mulliken …

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