How do I simulate a quantum dot?

Open this page and use the live Hydrogen Orbitals tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a quantum dot from your own measurements.

Use case · powered by Hydrogen Orbitals

Hydrogen Orbitals for a quantum dot

Simulate a quantum dot live in your browser. This runs the real Hydrogen Orbitals solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Hydrogen OrbitalsLive

electron probability clouds

Controls

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

Principal n

Azimuthal l

Magnetic m

▶ Run in Python

Data Inspector

Orbital2p_z

Quantum numbersn=2, l=1, m=0

Energy-3.40 eV

Nodes0 radial, 1 angular

Governing equation

E_{2} = - \frac{13.6}{2 ^{2}} eV = - 3.40 eV (2 p)

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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About this simulation

The full Hydrogen Orbitals tool models a quantum dot with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Hydrogen Orbitals

Hydrogen Orbitals for a hydrogen atom Hydrogen Orbitals for a quantum well Hydrogen Orbitals for a qubit Hydrogen Orbitals for the double-slit experiment Hydrogen Orbitals for a particle in a box Hydrogen Orbitals for a tunneling electron Hydrogen Orbitals for a spin measurement Hydrogen Orbitals for a laser cavity

Other ways to simulate a quantum dot

Particle in a Box for a quantum dot Quantum Tunneling for a quantum dot Bloch Sphere for a quantum dot Special Relativity for a quantum dot Photoelectric Effect for a quantum dot Quantum Harmonic Oscillator for a quantum dot

Frequently asked questions

How do I simulate a quantum dot?: Open this page and use the live Hydrogen Orbitals tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a quantum dot from your own measurements.