Squares of the spherical harmonics, |Yl,m|2, plotted as a function of theta and phi. Colour is according to the phase, with zero phase (real and positive) coloured red and phase of pi (real and negative) coloured cyan. z axis is up, x axis is toward and to the left, y axis is toward and to the right.
![](s.gif) |
Y0,0 or s |
![](p0mag.gif) |
![](p0.gif) |
Y1,0 or pz (NOT SQUARED) |
Y1,0 or pz (squared, as are all the rest) |
![](p1.gif) |
![](pm1.gif) |
Y1,1 or p1 |
Y1,-1 or p-1 |
![](px.gif) |
![](py.gif) |
or px |
or py |
![](d0.gif) |
Y2,0 or ![d_z^2](dz2.png) |
![](d1.gif) |
![](dm1.gif) |
Y2,1 or d1 |
Y2,-1 or d-1 |
![](dxz.gif) |
![](dyz.gif) |
or dxz |
or dyz |
![](d2.gif) |
![](dm2.gif) |
Y2,2 or d2 |
Y2,-2 or d-2 |
![](dxsqmysq.gif) |
![](dxy.gif) |
or ![d_x^2-y^2](dx2y2.png) |
or dxy |
![](f0.gif) |
Y3,0 or ![f_z^3](fz3.png) |
![](f1.gif) |
![](fm1.gif) |
Y3,1 or f1 |
Y3,-1 or f-1 |
![](f1real.gif) |
![](fm1real.gif) |
or ![f_xz^2](fxz2.png) |
or![f_yz^2](fyz2.png) |
![](f2.gif) |
![](fm2.gif) |
Y3,2 or f2 |
Y3,-2 or f-2 |
![](f2real.gif) |
![](fm2real.gif) |
or![f_z(x^2-y^2)](fzx2y2.png) |
or fxyz |
![](f3.gif) |
![](fm3.gif) |
Y3,3 or f3 |
Y3,-3 or f-3 |
![](f3real.gif) |
![](fm3real.gif) |
or ![f_x(x^2-3y^2)](fxx2y2.png) |
or ![f_y(3x^2-y^2)](fyx2y2.png) |