Quantum Energy Calculator - Calculator Suite

Hydrogen Atom Energy Levels

Principal Quantum Number (n):

Hydrogen Energy Formula:

E_n = -13.6 eV / n²

Rydberg constant = 13.6 eV

Photon Energy Calculator

Input Type:

Frequency (Hz):

Wavelength (nm):

Wave Number (cm⁻¹):

Photon Energy Formulas:

E = hf = hc/λ = hcν̃

h = 6.626×10⁻³⁴ J⋅s, c = 3×10⁸ m/s

Energy Level Transitions

Initial Level (n₁):

Final Level (n₂):

Atom Type:

Atomic Number (Z):

Rydberg Formula:

E = -13.6 Z² (1/n₂² - 1/n₁²) eV

For hydrogen-like atoms

de Broglie Wavelength

Particle Type:

Mass (kg):

Velocity (m/s):

de Broglie Formula:

λ = h / (mv)

Where p = mv is momentum

Quantum Harmonic Oscillator

Vibrational Quantum Number (v):

Frequency (Hz):

Harmonic Oscillator Energy:

E_v = ℏω(v + ½)

ℏ = h/2π, zero-point energy = ½ℏω

Particle in a Box

Quantum Number (n):

Box Length (m):

Particle Mass (kg):

Particle in Box Energy:

E_n = n²h² / (8mL²)

Infinite square well model

⚛️ Quantum Energy Calculator