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	${\frac {1}{4}}{\sqrt {\frac {15}{\pi }}}{\frac {x^{2}-y^{2}}{r^{2}}}$