For K-12 Students · Hydrogen Orbitals
Hydrogen Orbitals for a Stern-Gerlach beam
Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a Stern-Gerlach beam live below — adjust the inputs and watch it respond, right in your browser.
Hydrogen OrbitalsLive
electron probability clouds
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Solving the Schrödinger equation for hydrogen gives the orbitals — the probability clouds where an electron is likely to be found. The quantum numbers n, l, and m set the size, shape, and orientation. Brighter regions are higher probability density.
Presets
Data Inspector
Orbital2p_z
Quantum numbersn=2, l=1, m=0
Energy-3.40 eV
Nodes0 radial, 1 angular
Governing equation
Reading this result: n=2 sets the shell and energy (E = -3.40 eV) and the overall size of the cloud. l=1 sets the shape: two lobes (p). m=0 sets the orientation in space. This orbital has 0 radial nodes and 1 angular node.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
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Frequently asked questions
- Is this good for k-12 students?
- Yes — this version of "Hydrogen Orbitals for a Stern-Gerlach beam" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.