Angular functions

real spherical harmonics

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]