Linear Combinations of Complex Orbitals

Below you can add, remove and modify hydrogen-like wavefunctions and adjust the quantum numbers (n, l, and m) of each. Preset orbitals can be viewed or new ones can be constructed from basis wavefunctions. Inspired by falstad.com.

Drag the view to see the total wavefunction from different angles. Scroll to zoom.

Each wavefunction is multiplied by a complex number which can be adjusted by dragging on the complex plane, shown as a two-dimensional point. The hue represents the phase angle, with red corresponding to positive real values, cyan being negative, and everything else interpolated between.

1s
2s
2px
2py
2pz
3s
3px
3py
3pz
3d
3dx²-y²
3dxy
3dyz
3dxz
4s
4px
4py
4pz
4d
4dx²-y²
4dxy
4dyz
4dxz
5s
5px
5py
5pz
5d
5dx²-y²
5dxy
5dyz
5dxz
4f
4fxz²
4fyz²
4fxyz
4fz(x²-y²)
4fy(3x²-y²)
4fx(x²-3y²)
sp(i)
sp(ii)
5f
5fxz²
5fyz²
5fxyz
5fz(x²-y²)
5fy(3x²-y²)
5fx(x²-3y²)
sp²(i)
sp²(ii)
sp²(iii)
sp³(i)
sp³(ii)
sp³(iii)
sp³(iv)
sp³d(i)
sp³d(ii)
sp³d(iii)
sp³d(iv)
sp³d(v)
Add new
Delete All
Add Random
Brightness
View x
View y
View z
Toggle Axes