Angular functions

real spherical harmonics

l	m	Name	Ylm
0	1	s	$\frac{1}{\sqrt{4\pi}}$
1	-1	py	$\sqrt{\frac{3}{4\pi}}\frac{y}{r}$
1	0	pz	$\sqrt{\frac{3}{4\pi}}\frac{z}{r}$
1	1	py	$\sqrt{\frac{3}{4\pi}}\frac{x}{r}$
2	-2	dxy	$\frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{xy}{r^2}$
2	-1	dyz	$\frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{yz}{r^2}$
2	0	dz2	$\frac{1}{4}\sqrt{\frac{5}{\pi}}\frac{3z^2-r^2}{r^2}$
2	1	dxz	$\frac{1}{2}\sqrt{\frac{15}{\pi}}\frac{zx}{r^2}$
2	2	dx2-y2	$\frac{1}{4}\sqrt{\frac{15}{\pi}}\frac{x^2-y^2}{r^2}$