Phonon Dispersion Calculator

Calculate phonon dispersion relations for 1D crystal models

About Phonon Dispersion

Phonon dispersion relations describe how the frequency of lattice vibrations depends on the wavevector. They are fundamental to understanding thermal and acoustic properties of solids.

Key Features:

  • Monoatomic: ω = 2√(K/m)|sin(ka/2)|
  • Diatomic: Acoustic + Optical branches
  • Band gap appears when m1 ≠ m2
  • Group velocity: vg = dω/dk
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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

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Formula Source: University Physics

by Young & Freedman

🔄Last reviewed: May 2026
✓Formula checks are based on standard references and internal QA review.