Materials Science Calculators

Free browser calculators for everyday materials science: Bragg’s law and interplanar spacing, the lever rule, diffusion coefficients and more.

Fundamentals

Diffusion Coefficient and Diffusion Length CalculatorFind the diffusion coefficient from the Arrhenius equation, then the diffusion length and carburizing concentration

Microstructure and phase transformations

Lever Rule CalculatorCalculate the mass fraction of each phase in a two-phase region from compositions

Classes of materials

Rule of Mixtures CalculatorCalculate a composite's Young's modulus and specific stiffness from the moduli and volume fraction of fiber and matrix

Characterization and advanced topics

XRD Calculator (Bragg's Law and Extinction Rules)Calculate cubic interplanar spacings, 2θ angles and the peaks allowed by extinction rules Thermal Expansion and Thermal Stress CalculatorCalculate the elongation from a temperature change and the thermal stress when constrained