Agri Care Hub

Zeeman Splitting Calculator – ΔE = g μ B B

Zeeman Splitting Calculator

Enter the Landé g-factor, magnetic quantum number change, and field strength. The Zeeman Splitting Calculator instantly computes the energy splitting ΔE and frequency shift.

About the Zeeman Splitting Calculator

The Zeeman Splitting Calculator is a precise, scientifically accurate tool that computes the energy level splitting in a magnetic field — the famous Zeeman effect discovered by Pieter Zeeman in 1896. This Zeeman Splitting Calculator implements the standard formula ΔE = g μ_B B Δm_j for normal Zeeman effect and anomalous cases using the Landé g-factor. Proudly supported by Agri Care Hub.

Scientific Formula

ΔE = g μ_B B Δm_j
g = Landé g-factor
μ_B = Bohr magneton = 9.274 × 10⁻²⁴ J/T
B = magnetic field (Tesla)
Δm_j = change in magnetic quantum number (±1 for σ, 0 for π)

Why This Calculator Is Essential

The Zeeman effect is fundamental in: • Atomic spectroscopy and astrophysics (stellar magnetic fields) • NMR and MRI (proton splitting) • EPR/ESR (electron spin resonance) • Quantum computing (spin qubits) • Precision measurement and atomic clocks It was key evidence for quantum mechanics and earned Zeeman the 1902 Nobel Prize.

How to Use

  1. Select a preset or enter custom g-factor.
  2. Enter Δm_j (usually ±1 for allowed transitions).
  3. Enter magnetic field B in Tesla.
  4. Choose output units.
  5. Click “Calculate Zeeman Splitting”.

When Should You Use This Tool?

  • Atomic and molecular spectroscopy
  • Astrophysics (measuring stellar B-fields)
  • NMR/MRI experiment design
  • EPR studies
  • Quantum physics education
  • Research in quantum magnetism

Scientific Foundation

The Zeeman effect splits degenerate energy levels in a magnetic field due to magnetic dipole interaction. The normal Zeeman effect (g=1) applies to spin-zero states, while the anomalous Zeeman effect uses the Landé g-factor from total angular momentum J. Full theory at Zeeman Splitting on Wikipedia and all quantum mechanics textbooks.

Conclusion

The Zeeman Splitting Calculator brings one of the most important effects in quantum physics to your browser — with perfect accuracy and beautiful design. Whether you’re a student learning atomic physics, a researcher measuring magnetic fields in stars, or a medical physicist working with MRI, this tool delivers precise results every time. For more physics tools, visit Agri Care Hub.

Index
Scroll to Top