Angular functions: Difference between revisions
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| 0 || 1 || s || <math>\frac{1}{\sqrt{4\pi}}</math> | | 0 || 1 || s || <math>\frac{1}{\sqrt{4\pi}}</math> | ||
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| 1 || -1 || py || <math>\sqrt{\frac{3}{4\pi}}\frac{y}{r}</math> | |||
|- | |||
| 1 || 0 || pz || <math>\sqrt{\frac{3}{4\pi}}\frac{z}{r}</math> | |||
|- | |||
| 1 || 1 || py || <math>\sqrt{\frac{3}{4\pi}}\frac{x}{r}</math> | |||
|- | |||
| 2 || -2 || dxy || <math>\frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{xy}{r^2}</math> | |||
|- | |||
| 2 || -1 || dyz || <math>\frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{yz}{r^2}</math> | |||
|- | |||
| 2 || 0 || dz2 || <math>\frac{1}{4}\sqrt{\frac{5}{\pi}}\frac{3z^2-r^2}{r^2}</math> | |||
|- | |||
| 2 || 1 || dxz || <math>\frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{zx}{r^2}</math> | |||
|- | |||
| 2 || 2 || dx2-y2 || <math>\frac{1}{4}\sqrt{\frac{15}{\pi}}\frac{x^2-y^2}{r^2}</math> | |||
|} | |} | ||
Revision as of 14:51, 13 January 2017
l m Name Ylm 0 1 s [math]\displaystyle{ \frac{1}{\sqrt{4\pi}} }[/math] 1 -1 py [math]\displaystyle{ \sqrt{\frac{3}{4\pi}}\frac{y}{r} }[/math] 1 0 pz [math]\displaystyle{ \sqrt{\frac{3}{4\pi}}\frac{z}{r} }[/math] 1 1 py [math]\displaystyle{ \sqrt{\frac{3}{4\pi}}\frac{x}{r} }[/math] 2 -2 dxy [math]\displaystyle{ \frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{xy}{r^2} }[/math] 2 -1 dyz [math]\displaystyle{ \frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{yz}{r^2} }[/math] 2 0 dz2 [math]\displaystyle{ \frac{1}{4}\sqrt{\frac{5}{\pi}}\frac{3z^2-r^2}{r^2} }[/math] 2 1 dxz [math]\displaystyle{ \frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{zx}{r^2} }[/math] 2 2 dx2-y2 [math]\displaystyle{ \frac{1}{4}\sqrt{\frac{15}{\pi}}\frac{x^2-y^2}{r^2} }[/math]