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Update symmetry.rst
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Trovemaster committed May 26, 2023
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Expand Up @@ -28,8 +28,8 @@ Cs(M)
It is usually used for non-symmetric planar molecules such as triatomics XYZ.


C\ :sub:`2v`(M)
===============
C\ :sub:`2v`\ (M)
=================


``C2v(M)`` is a molecular symmetry consisting of 4 irreps: :math:`A_1`, :math:`A_2`, :math:`B_1`, :math:`B_2`. The meaning of these irreps depends on the molecule as well as its embedding. The characters are shown in the following table
Expand All @@ -46,10 +46,10 @@ C\ :sub:`2v`(M)
|:math:`B_2` | 1 | -1 | 1 | -1 |
+------------+-------------+------+-------------+----------------+

where :math:`E`, (12), :math:`E^*` and (12)\ :sup:`*` are the 4 point group operations. Typical C\ :sub:`2v`(M) molecules are XY\ :sub:`2` (e.g. water, H\ :sub:`2`S), ZXY\ :sub:`2` (e.g. formaldehyde. )
where :math:`E`, (12), :math:`E^*` and (12)\ :sup:`*` are the 4 point group operations. Typical C\ :sub:`2v`\ (M) molecules are XY\ :sub:`2` (e.g. water, H\ :sub:`2`\ S), ZXY\ :sub:`2` (e.g. formaldehyde.)

C3v(M)
=====
======

``C3v(M)`` is a molecular symmetry consisting of 3 irreps: :math:`A_1`, :math:`A_2`, :math:`E` and 6 operations:

Expand All @@ -66,11 +66,11 @@ C3v(M)
:math:`E` 2 -1 0
============= ============ ======= ================

It can be used for the molecules PH\ :sub:`3`, SbH\ :sub:`3`, SO\ :sub:`3`, CH\ :sub:`3`Cl, CH\ :sub:`3`Cl, isotopologue CDH\ :sub:`3` etc.
It can be used for the molecules PH\ :sub:`3`, SbH\ :sub:`3`, SO\ :sub:`3`, CH\ :sub:`3`\ Cl, CH\ :sub:`3`\ Cl, isotopologue CDH\ :sub:`3` etc.


D3h(M)
======
D\ :sub:`3h`\ (M)
=================

``D3h(M)`` is a molecular symmetry consisting of 6 irreps: :math:`A'_1`, :math:`A'_2`, :math:`E'`, :math:`A''_1`, :math:`A''_2`, :math:`E''` and 12 operations:

Expand All @@ -94,7 +94,7 @@ It can be used for the molecules PH\ :sub:`3`, SbH\ :sub:`3`, SO\ :sub:`3`, CH\
:math:`E` (123) (23)\ :sup:`*`
(132) (12)\ :sup:`*`
(23)\ :sup:`*`
============= ============ ======= ================
------------- ------------ ------- ----------------
:math:`A_1` 1 1 1
:math:`A_2` 1 1 -1
:math:`E` 2 -1 0
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