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Snell's Law Calculator

Calculate angle of refraction for light

Snell's Law Calculator

Snell's law describes how light (or any wave) bends when it passes from one medium into another of different density. n₁ × sin(θ₁) = n₂ × sin(θ₂), where n is the refractive index and θ is the angle from the normal.

  1. 1n₁ sin θ₁ = n₂ sin θ₂
  2. 2If n₂ > n₁ (denser medium), light bends toward the normal (θ₂ < θ₁)
  3. 3Total internal reflection occurs when θ₁ exceeds the critical angle: sin θ_c = n₂/n₁
  4. 4Refractive index: air ≈ 1.0003, water ≈ 1.33, glass ≈ 1.5, diamond ≈ 2.42
Light hitting glass (n=1.5) at 30° from normal=θ₂ = 19.5°sin(19.5°) = sin(30°)/1.5 = 0.333

Fun Fact

Diamonds have the highest refractive index of natural gems (2.42) and a critical angle of only 24.4°. Most of the light that enters a diamond undergoes total internal reflection multiple times, creating brilliant sparkle.

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