HomeMaterials ScienceFrenkel & Schottky Point Defects — 2D Lattice View

Frenkel & Schottky Point Defects — 2D Lattice View

A 2D cross-section of a crystal lattice relaxes toward the real thermodynamic equilibrium concentration of point defects — Schottky vacancies or Frenkel vacancy-interstitial pairs — following the Arrhenius law as you drag temperature and formation-energy sliders, with a live Arrhenius plot and defect-count history strip.

Materials Science2DModerate60 FPS📱 Mobile-adapted⇄ 3D version
2d-solid-state-physics-physics ↗ Open standalone

Every real crystal carries a thermal population of point defects — atoms missing from their lattice sites (Schottky vacancies) or displaced into the gaps between sites (Frenkel pairs). This simulator renders a 20×20 planar cross-section of a crystal lattice and drives it toward the real thermodynamic equilibrium defect concentration for the temperature and formation energy you set, using the Arrhenius laws n/N = exp(−Ef/kBT) for Schottky vacancies and nF = √(N·Ni)·exp(−Ef/2kBT) for Frenkel pairs. Switch defect type, drag temperature from 300 K to 2000 K or formation energy from 0.3 eV to 3.0 eV, and watch vacancies (red rings) and interstitial atoms (orange) appear and vanish live as the lattice relaxes toward the predicted equilibrium count — while a live Arrhenius plot and a defect-count history strip track the same process numerically. Drag the lattice to pan and scroll or pinch to zoom.

⚙ Under the hood

A 2D cross-section of a crystal lattice relaxes toward the real thermodynamic equilibrium concentration of point defects — Schottky vacancies or Frenkel vacancy-interstitial pairs — following the Arrhenius law as you drag temperature and formation-energy sliders, with a live Arrhenius plot and defect-count history strip.

solid state physicscrystal defectsvacanciesFrenkel pairArrhenius lawmaterials science2D lattice

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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