The Science of Rainbows - Introduction
These pages are my notes on how rainbows and related phenomenon occur. Note that this is a passion project made by an amateur; there may be typos and some information may not be accurate due to flaws in my understanding.
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The Visible Spectrum
The visible spectrum is a portion of the electromagnetic spectrum; the electromagnetic spectrum organizes photons by their wavelengths. A photon is a particle of energy (note: these energy particles can only come in whole numbers; there can't be fractions of photons). Photons move at the speed of light, with light being a form of energy and heat being another. Photons travel in waves, and the wavelength of these waves determines their properties (hence the separation of the electromagnetic spectrum into categories).


The shorter the wavelength, the higher the frequency, thus the higher the energy
The photons (energy) in the visible spectrum take the form of light. Infrared radiation (radiation = emission of energy) is heat. Visible light, infrared radiation, microwaves, and radio waves are forms of nonharmful radiation, as the photons do not have enough energy to break chemical bonds or ionize molecules. UV radiation, X-rays, and Gamma rays are harmful to living cells because the photons do have enough energy to cause chemical reactions. This is why you wear a lead cover when getting a dental X-ray, as X-rays can't pass through lead. The sun emits UV radiation, which is why sunscreen is important.


Each wavelength (380-750 nm) corresponds to a different color. Violet wavelengths are the shortest and red are the longest.
Purple and the Visable Spectrum
Notice how the visible spectrum (defined by individual wavelengths) spans from purplish blue to red, but light can come in more colors (magenta, purple, white, etc).

This is because colors like magenta, purple, and white are made by different wavelengths of light mixed together. White light is an even mixture of all wavelengths, magenta is an equal mixture of blue and red, and purple is also a blend of blue and red but with a higher ratio of blue. In short, white, pink, and purple do not have their own wavelengths.
If you search online for the visable spectrum you will get many sources including purple in the visable spectrum. This is not necessarily incorrect, but it can be misleading considering purple is a wide color category. The color purple includes both colors that are on the short end of the visable spectrum, and colors that can only be made by mixing wavelengths.
Violet is often used to refer to the blue-er end of purple colors that have their own wavelength in the visable spectrum. To visualize the color of the smallest visible wavelength, think of a black light. A black light emits mainly UV radiationnote and a little bit of visible light on the edge of UV (violet). This blueish purple is where the short end of the visable spectrum ends. Any warmer purples are created by mixing red wavelengths with blue or violet wavelengths.
note: UV radiation is harmful, but black lights are weak and typically only comprised of the less harmful long UV waves close to visible light.
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