MatterLab

What MatterLab Models

Hydrogenic orbital probability structures.

MatterLab evaluates the stationary quantum states of a single electron bound to a nucleus — the hydrogenic atom. From each state's wavefunction, it derives a probability density and generates a point-cloud representation of where the electron is likely to be found in space, for the quantum numbers that define that state.

Every point rendered below is computed in the browser from the same implemented hydrogenic wavefunctions as the native application — nothing on screen is a prerecorded or pre-rendered orbital model.

Samples, Not Trajectories

Points represent probability, not motion.

The points rendered in a MatterLab orbital are individual samples drawn from the electron's probability density — a statistical picture of where the electron may be observed. They are not a record of an electron's position over time, and no trajectory or path is implied by their arrangement or motion on screen.

Capability Preview

What the browser viewer does.

1. 01Select hydrogenic states by quantum number and view their probability structure as an interactive point cloud.
2. 02Orbit, pan, and zoom around the rendered structure to inspect its shape from any angle.
3. 03Compare how orbital shape and extent change across different stationary states.

Web Laboratory

Run MatterLab directly in your browser.

The embedded viewer below runs the same WebAssembly-compiled scientific core as the native desktop application, documented in the research publication below. It requires a WebGPU-capable browser (recent desktop Chrome or Edge, or another browser that exposesnavigator.gpu); browsers without WebGPU support will show a compatibility message inside the frame instead of a rendered orbital.

For the native implementation, mathematical model, and rendering architecture, see theMatterLab case study→.