Atomic Orbital Viewer Calculator

Visualize orbital shapes and quantum values clearly today. Estimate nodes, energies, and occupancy quickly here. Understand atomic structure faster with clean, exportable chemistry results.

Orbital Input Panel

Use the structured inputs below to inspect orbital properties.

Chemistry Viewer

Formula Used

This viewer combines core orbital rules with a simple hydrogen-like energy estimate. It is designed for teaching, revision, and fast comparison.

  • Radial nodes: n − l − 1
  • Angular nodes: l
  • Total nodes: n − 1
  • Subshell degeneracy: 2l + 1
  • Subshell capacity: 2(2l + 1)
  • Hydrogenic orbital energy: E = −13.6 × Zeff² / n² in eV
  • Approximate orbital radius: r ≈ 0.529 × n² / Zeff in Å
  • Occupancy percent: entered electrons ÷ capacity × 100

These formulas are simplified educational relations. Real multi-electron atoms show shielding, penetration, and relativistic effects beyond this quick model.

How to Use This Calculator

  1. Enter the principal quantum number n for the shell.
  2. Enter the azimuthal value l for the subshell.
  3. Choose a valid magnetic value mℓ from −l to +l.
  4. Select the spin state and set an effective nuclear charge.
  5. Enter the number of electrons you want represented.
  6. Click submit to show the summary above the form.
  7. Use the CSV or PDF buttons to export the result.

Example Data Table

Orbital n l mℓ Range Radial Nodes Angular Nodes Capacity Approx. Shape
1s100002Spherical
2p21−1 to +1016Dumbbell
3d32−2 to +20210Clover-like
4f43−3 to +30314Complex multi-lobed
5s500402Spherical, diffuse

Frequently Asked Questions

1. What does this viewer actually calculate?

It checks valid quantum numbers, identifies the orbital, estimates nodes, shows subshell capacity, and gives a simplified hydrogen-like energy and radius.

2. Why is effective nuclear charge included?

Effective nuclear charge changes the energy and approximate orbital size. Larger Zeff pulls electron density inward and lowers the hydrogenic energy estimate.

3. Is the orbital sketch a real electron picture?

No. It is a teaching diagram. Real orbitals come from wavefunctions and probability densities, not fixed electron paths or rigid shapes.

4. Why can l never exceed n−1?

Quantum mechanics restricts allowed angular momentum values within each shell. For a shell n, the subshell index l runs only from 0 to n−1.

5. What does mℓ change in the result?

mℓ selects one orientation within a subshell. It affects which degenerate orbital is viewed, but not the basic subshell capacity formula.

6. Are the energy values exact for all atoms?

No. The energy expression is a simplified model. Multi-electron atoms need more detailed methods because shielding and electron interactions shift energies.

7. When should I export CSV or PDF?

Export CSV for tabular records or classroom datasets. Export PDF for reports, quick sharing, printing, or keeping a static summary of one result.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.