
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
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2s |
2px |
2py |
2pz |
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3s |
3px |
3py |
3pz |
3dz² |
3dx²-y² |
3dxy |
3dyz |
3dxz |
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4s |
4px |
4py |
4pz |
4dz² |
4dx²-y² |
4dxy |
4dyz |
4dxz |
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5s |
5px |
5py |
5pz |
5dz² |
5dx²-y² |
5dxy |
5dyz |
5dxz |
4fz³ |
4fxz² |
4fyz² |
4fxyz |
4fz(x²-y²) |
4fy(3x²-y²) |
4fx(x²-3y²) |
sp(i) |
sp(ii) |
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5fz³ |
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) |
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