Bohr Model Calculator: Determine Electron Energy & Orbital Radius

Calculate Electron Energy and Orbital Radius

Must be a positive integer (1, 2, 3, ...)
Must be a positive integer (e.g., 1 for H, 2 for He+)

Unlock the secrets of atomic structure with our Bohr Model Calculator. Easily compute electron energy levels and orbital radii for hydrogen-like atoms. Perfect for students, educators, and anyone exploring quantum mechanics fundamentals.

Formula:

The Bohr Model helps approximate the energy of an electron and the radius of its orbit in hydrogen-like atoms. The key formulas are:

  • Orbital Radius (rn): rn = n2 · a0 / Z
  • Electron Energy (En): En = -Ry · Z2 / n2

Where:

  • n is the principal quantum number (1, 2, 3, ...)
  • Z is the atomic number (number of protons)
  • a0 is the Bohr radius (approximately 0.0529 nm)
  • Ry is the Rydberg constant for energy (approximately 13.6 eV)

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