Wavefunction:
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This page renders one-electron orbitals (ignoring electron repulsion!) of various tiny quantum systems via volumetric raymarching through function field baked into a 3D-texture, either as a density cloud or as an isosurface. Red shows where the wavefunction is positive, while blue shows negative areas. Energy is given in Hartree units and includes electron kinetic & potential terms as well as nuclei repulsion energy.

Some of the presented wavefunctions (namely, those after a separating line) are non-bonding: they are energy eigenstates of a system with fixed nuclei, but such one-electron configurations are unstable and would tear apart if the nuclei are allowed to move, since removing some of the nuclei would lower the energy. As such, they have little to zero physical significance on their own, and the corresponding ions/molecules certainly don't look like that. However, they form a good basis for understanding the behavior of many-electron systems. They look nice, though, so I decided to include them.

Click & drag to rotate. If nothing is shown, try tweaking intensity/isosurface sliders.
NB: Low values of quality option may lead to noticeable artifacts, while high values may slow everything down.

© Lisitsa Nikita, 2020