Hydrogen Probabilities

Hydrogen orbitals as a luminous field you can turn. Computed live in the browser.

Interactive browser work · 2026

Bright, rounded orbital forms fan out, edged in blue against a dark violet background. — Hydrogen Probabilities · Interactive browser work · 2026

Bright forms with blue edges against a dark background. As the field turns, the forms overlap. Flat areas become curves; gaps open and close.

Hydrogen Probabilities computes the probability densities of hydrogen orbitals. Colour and transparency turn these values into a spatial image, rendered live in the browser.

The quantum numbers select different states. Drag to turn the field; the density control changes how strongly the clouds appear. H hides the interface. Individual views and the preset series can be saved as PNGs.

Large, bright orbital forms overlap, with soft blue edges fading into a dark violet background. — 4f₀ · n = 4, ℓ = 3, m = 0.

Open 4f₀ in the field ↗

Bright, rounded forms sit beside one another, surrounded by blue edges against a dark background. — 3d₂ · n = 3, ℓ = 2, m = 2.

Open 3d₂ in the field ↗