https://www.quanty.org/ 2026-04-04T04:56:01+00:00 https://www.quanty.org/ https://www.quanty.org/_media/wiki/dokuwiki.svg text/html 2025-11-20T02:30:11+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_0sqrt2-1z?rev=1763605811&do=diff Orientation 0sqrt2-1z Symmetry Operations In the Oh Point Group, with orientation 0sqrt2-1z there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{-\sqrt{6},-\sqrt{2},1\right\}$ , $\left\{0,-2 \sqrt{2},-1\right\}$ , $\left\{-\sqrt{6},\sqrt{2},-1\right\}$ , $\left\{\sqrt{6},\sqrt{2},-1\right\}$ , $\left\{0,2 \sqrt{2},1\right\}$ , $\left\{\sqrt{6},-\sqrt{2},1\right\}$ , $C_2$ $\{1,0,0\}$ , $\left\{1,\sqrt{3},0\… text/html 2025-11-20T02:30:10+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_0sqrt21z?rev=1763605810&do=diff Orientation 0sqrt21z Symmetry Operations In the Oh Point Group, with orientation 0sqrt21z there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{\sqrt{6},\sqrt{2},1\right\}$ , $\left\{0,2 \sqrt{2},-1\right\}$ , $\left\{\sqrt{6},-\sqrt{2},-1\right\}$ , $\left\{-\sqrt{6},-\sqrt{2},-1\right\}$ , $\left\{0,-2 \sqrt{2},1\right\}$ , $\left\{-\sqrt{6},\sqrt{2},1\right\}$ , $C_2$ $\{1,0,0\}$ , $\left\{1,\sqrt{3},0\ri… text/html 2025-11-20T02:30:12+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_11-1z?rev=1763605812&do=diff Orientation 11-1z Symmetry Operations In the Oh Point Group, with orientation 11-1z there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{2+\sqrt{3},-1,\frac{1}{1-\sqrt{3}}\right\}$ , $\{2,2,1\}$ , $\left\{1,-2-\sqrt{3},\frac{1}{2} \left(1+\sqrt{3}\right)\right\}$ , $\left\{-2-\sqrt{3},1,\frac{1}{2} \left(1+\sqrt{3}\right)\right\}$ , $\{-2,-2,-1\}$ , $\left\{-1,2+\sqrt{3},\frac{1}{1-\sqrt{3}}\right\}$ , $C_2$… text/html 2025-11-20T02:30:10+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_111z?rev=1763605810&do=diff Orientation 111z Symmetry Operations In the Oh Point Group, with orientation 111z there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{2+\sqrt{3},-1,\frac{1}{2} \left(1+\sqrt{3}\right)\right\}$ , $\{2,2,-1\}$ , $\left\{1,-2-\sqrt{3},\frac{1}{1-\sqrt{3}}\right\}$ , $\left\{-2-\sqrt{3},1,\frac{1}{1-\sqrt{3}}\right\}$ , $\{-2,-2,1\}$ , $\left\{-1,2+\sqrt{3},\frac{1}{2} \left(1+\sqrt{3}\right)\right\}$ , $C_2$ … text/html 2025-11-20T02:30:11+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_sqrt20-1z?rev=1763605811&do=diff Orientation sqrt20-1z Symmetry Operations In the Oh Point Group, with orientation sqrt20-1z there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{-\sqrt{2},\sqrt{6},1\right\}$ , $\left\{-2 \sqrt{2},0,-1\right\}$ , $\left\{\sqrt{2},\sqrt{6},-1\right\}$ , $\left\{\sqrt{2},-\sqrt{6},-1\right\}$ , $\left\{2 \sqrt{2},0,1\right\}$ , $\left\{-\sqrt{2},-\sqrt{6},1\right\}$ , $C_2$ $\{0,1,0\}$ , $\left\{-\sqrt{3},1,0… text/html 2025-11-20T02:30:11+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_sqrt201z?rev=1763605811&do=diff Orientation sqrt201z Symmetry Operations In the Oh Point Group, with orientation sqrt201z there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{0,0,1\}$ , $\{0,0,-1\}$ , $\left\{\sqrt{2},-\sqrt{6},1\right\}$ , $\left\{2 \sqrt{2},0,-1\right\}$ , $\left\{-\sqrt{2},-\sqrt{6},-1\right\}$ , $\left\{-\sqrt{2},\sqrt{6},-1\right\}$ , $\left\{-2 \sqrt{2},0,1\right\}$ , $\left\{\sqrt{2},\sqrt{6},1\right\}$ , $C_2$ $\{0,1,0\}$ , $\left\{-\sqrt{3},1,0\r… text/html 2025-11-20T02:30:11+00:00 Anonymous (anonymous@undisclosed.example.com) https://www.quanty.org/physics_chemistry/point_groups/oh/orientation_xyz?rev=1763605811&do=diff Orientation XYZ Symmetry Operations In the Oh Point Group, with orientation XYZ there are the following symmetry operations Operator Orientation $\text{E}$ $\{0,0,0\}$ , $C_3$ $\{1,1,1\}$ , $\{1,1,-1\}$ , $\{1,-1,1\}$ , $\{-1,1,1\}$ , $\{-1,-1,1\}$ , $\{-1,1,-1\}$ , $\{1,-1,-1\}$ , $\{-1,-1,-1\}$ , $C_2$ $\{1,1,0\}$ , $\{1,-1,0\}$ , $\{1,0,-1\}$ , $\{1,0,1\}$ , $\{0,1,1\}$ , $\{0,1,-1\}$ , $C_4$ $\{0,0,1\}$ , $\{0,1,0\}$ , $\{1,0,0\}$ , $\{0,0,-1\}$ , $\{0,-1,0\}$ , $\{-1,0,0\}$ , $…