Dispersão em Prisma (desvio mínimo)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
desvio mínimo
About this calculator
The prism dispersion calculator determines the minimum deviation of a light beam passing through a triangular prism. Minimum deviation is the smallest angle between the incident and emergent directions, occurring when the beam passes symmetrically through the prism. The formula used is D_min ≈ 2·arcsin(n·sin(A/2)) − A, where n is the refractive index of the material and A is the prism apex angle. This calculation is essential for understanding how light splits into colors when passing through prisms, a phenomenon known as chromatic dispersion.
Use this tool in physics labs, optics classes, or engineering projects involving prisms. For example, when studying the decomposition of white light into a visible spectrum, minimum deviation helps predict the exit angle of each color. It is also useful in designing spectrometers and optical equipment that rely on wavelength separation.
Important considerations: the formula assumes the prism is immersed in air (refractive index 1) and that light is incident in the cross-sectional plane. Additionally, minimum deviation occurs only for a specific incidence angle, which depends on n and A. Values of n vary with wavelength, so for white light, each color has a different minimum deviation. The calculator provides the deviation for a single n; for multiple colors, repeat the calculation with the respective indices.
Frequently asked questions
What is minimum deviation in a prism?
It is the smallest angle between the incident and emergent rays, occurring when the ray passes symmetrically through the prism.
How to calculate minimum deviation for white light?
For white light, calculate the deviation for each color separately, using the refractive index corresponding to each wavelength.
Does the formula work for any prism angle?
The formula is valid for prism angles A less than 180°, but minimum deviation only exists if n·sin(A/2) ≤ 1.
What is the unit of the result?
The minimum deviation is given in degrees, as is the prism angle input.
Do I need the refractive index for each color?
Yes, because the refractive index varies with color (wavelength). Use tabulated values for each desired color.