Quanty - physics_chemistry
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2026-04-30T15:37:21+00:00Quanty
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https://www.quanty.org/_media/wiki/dokuwiki.svgtext/html2025-11-19T20:56:55+00:00Anonymous (anonymous@undisclosed.example.com)Coulomb repulsion $J_H$ and Slater integrals
https://www.quanty.org/physics_chemistry/coulomb_repulsion_jh_and_slater_integrals?rev=1763585815&do=diff
Coulomb repulsion $J_H$ and Slater integrals
The Coulomb interaction between two electrons depends on the orbital they are in. The closer the charge density of the two orbitals involved is to each other the larger the Coulomb interaction (given by $\frac{e^2}{|r_1-r_2|}$) between them. For example, for two electrons in the $d$$d_{x^2-y^2}$$d_{xy}$$d_{z^2}$$d_{xy}$\begin{equation}
H = \sum_{i\neq j} \frac{1}{2} \frac{e^2}{|r_i-r_j|},
\end{equation}$1/2$\begin{equation}
H = \sum_{\tau_1\tau_2\tau…text/html2025-11-19T20:56:56+00:00Anonymous (anonymous@undisclosed.example.com)On $U$ and $\Delta$ in Ligand field theory, Anderson impurity models, and DMFT
https://www.quanty.org/physics_chemistry/on_u_and_delta_in_ligand_field_theory_anderson_impurity_models_and_dmft?rev=1763585816&do=diff
On $U$ and $\Delta$ in Ligand field theory, Anderson impurity models, and DMFT
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physics_chemistry indextext/html2025-11-19T20:56:54+00:00Anonymous (anonymous@undisclosed.example.com)Photon matter interaction
https://www.quanty.org/physics_chemistry/photon_matter_interaction?rev=1763585814&do=diff
Photon matter interaction
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physics_chemistry indextext/html2025-11-19T20:56:55+00:00Anonymous (anonymous@undisclosed.example.com)Point groups
https://www.quanty.org/physics_chemistry/point_groups?rev=1763585815&do=diff
Point groups
Nonaxial groups C1 - $1$ Cs - $m$ Ci - $\bar{1}$ Cn groups C2 - $2$ C3 - $3$ C4 - $4$ C5 - $5$ C6 - $6$ C7 - $7$ C8 - $8$ Dn groups D2 - $222$ D3 - $32$ D4 - $422$ D5 - $52$ D6 - $622$ D7 - $722$ D8 - $822$ Cnv groups C2v - $mm2$ C3v - $3m$ C4v - $4mm$ C5v - $5m$ C6v - $6mm$ C7v - $7m$ C8v - $8mm$ Cnh groups C2h - $2/m$ C3h - $\bar{6}$ C4h - $4/m$ C5h - $\bar{10}$ C6h - $6/m$ Dnh groups D2h - $mmm$ $O_h$$C_4$$x$$y$$z$$C_3$$z$$\sigma$$\…text/html2025-11-19T20:56:55+00:00Anonymous (anonymous@undisclosed.example.com)Physics, Chemistry and Mathematics
https://www.quanty.org/physics_chemistry/start?rev=1763585815&do=diff
Physics, Chemistry and Mathematics
The following pages contain information on topics in physics, chemistry and mathematics that we use in Quanty and need to be documented but are not necessarily related to the functions provided in Quanty. The order is alphabetical and the topics might be quite disconnected.physics_chemistry index