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Choose light speed, Snell's law, or critical angle from the calculation tabs.
Calculate refractive index from the speed of light, Snell's law, or critical angle with clear formulas and instant scientific results.
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Understand how light changes speed and direction when moving through different transparent materials.
The refractive index of a material describes how much the speed of light decreases when light travels through that material. It is commonly represented by the symbol n.
A vacuum has a refractive index of exactly 1. Light travels more slowly through air, water, glass, diamond, and other materials. Therefore, most transparent materials have a refractive index greater than 1.
For example, water has a refractive index of approximately 1.333 for visible light. This means light travels about 1.333 times slower in water than it does in a vacuum.
Refractive index is important in optics, physics, fiber-optic communication, lenses, microscopy, photography, gemstones, laboratory testing, and material identification.
Use the method that matches the measurements or values available in your problem.
Choose light speed, Snell's law, or critical angle from the calculation tabs.
Add the measured speeds, angles, or known refractive index in the relevant input fields.
The calculator displays the refractive index, formula, material estimate, and optical interpretation.
Approximate values vary with wavelength, temperature, pressure, purity, and material composition.
| Material | Approximate Refractive Index | Typical Observation |
|---|---|---|
| Vacuum | 1.000000 | Reference medium for light speed |
| Air | 1.000293 | Very close to vacuum |
| Ice | 1.309 | Light bends moderately |
| Water | 1.333 | Objects may appear displaced underwater |
| Ethanol | 1.361 | Higher optical density than water |
| Acrylic | 1.490 | Common transparent plastic |
| Crown glass | 1.520 | Frequently used in optical lenses |
| Flint glass | 1.620 | Produces stronger refraction and dispersion |
| Diamond | 2.417 | Strong refraction and visible brilliance |
The basic formula is n = c ÷ v. In this formula, c is the speed of light in a vacuum and v is the speed of light in the selected material.
No. Refractive index is dimensionless because it is a ratio between two speeds measured in the same units.
Snell's law relates the refractive indices of two media to the sine of the incident and refracted angles. The formula used here is n₂ = n₁ × sin(θ₁) ÷ sin(θ₂).
Optical angles in Snell's law are measured from an imaginary line perpendicular to the boundary. Measuring from the surface produces an incorrect result.
Yes. A material can bend different wavelengths by different amounts. This effect is called dispersion and helps produce colors in prisms and gemstones.
A higher refractive index generally means light travels more slowly through the material and bends more strongly when entering it from a lower-index medium.
The critical angle is the incident angle at which the refracted ray travels along the boundary between two media. At larger incident angles, total internal reflection can occur.