Wavefunction Illustrations:
y(r,J,j) = R(r) .Y(J,j)

There are a lot of possibilities for illustrating total wavefunction y(r,J,j) for hydrogen-like atoms which consists of radial part Rn,l(r) and angle part Yl,m(J,j): yn,l,m  =  Rn,l(r) Yl,m(J,j). Since there are 3 dimensions it's quite hard to illustrate wavefunctions in three-dimensional space. 

Radial and Angle parts:
yn,l,m  =  Rn,l(r) Yl,m(J,j)
For higher y values one will have higher point density.
Here one can also find some clips that show the above-mentioned electron orbitals 2s (1,0Mb), 2px(1,2Mb), 3px(1,2Mb), 3dxz(1,6Mb).
You can find more information in Internet: Orbitron.



 
Figure of hydrogen wavefunction (JPEG ca. 30 kb)
s p d f
x y z xy yz xz x2-y2 z2 z3 xz2 yz2
xyz z(x2-y2) x(x2-3y2) y(3x2-y2)
1 1s
2 2s 2px 2py 2pz
3 3s 3px 3py 3pz 3dxy 3dyz 3dxz 3dx2-y2 3dz2
4 4s 4px 4py 4pz 4dxy 4dyz 4dxz 4dx2-y2 4dz2 4fz3 4fxz2 4fyz2
4fxyz 4fz(x2-y2) 4fx(x2-3y2) 4fy(3x2-y2)
Normalized wavefunctions of hydrogen-like atoms. For nuclear charge Z>1 one must substitute ao with ao/Z everywhere
n l m ynlm Rnl(r) Ylm(J,j)
1 0 0 1 s 
2 0 0 2 s 
2 1 0 2 pz
2 1 1 2 px
2 1 -1 2 py
3 0 0 3 s
3 1 0 3 pz
3 1 1 3 px
3 1 -1 3 py
3 2 0 3 dz2
3 2 1 3 dxz
3 2 -1 3 dyz
3 2 2 3 dx2-y2
3 2 -2 3 dxy


 

 
 
 
 
 
 
 

To the classical illustration Radial + Angle parts:
The probability clouds for the first states of hydrogen atom.  Right figures correspond to Bohr radii.