At the bottom, directly below the picture of the spectrum is a graph of the same spectrum. The vertical y-axis is labeled “Brightness.” The horizontal x-axis is labeled “Wavelength (nanometers)” and ranges from about 375 nanometers at the origin on the far left, to about 775 nanometers on the far right. The axis is labeled in even increments of 100 nanometers, starting at 400 nanometers.

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Why do certain materials absorb only certain colours of light? That has to do with the properties of photons. Photons have particle-wave duality, just like electrons. They have wave properties, including a wavelength.

A diagram of a hydrogen atom shows the relationship between the color of light absorbed by an electron and its change in energy level.

This phenomenon was observed during the late nineteenth century, when scientists studied the "emission spectra" of metal ions. In these studies, the metal ions would be heated in a flame, producing characteristic colours. In that event, the electron would be thermally promoted to a higher energy level, and when it relaxed, a photon would be emitted corresponding to the energy of relaxation.

Directly below this graph is an illustration of a hydrogen absorption spectrum. The spectrum is a rectangle with rainbow coloring: purple on the left to red on the right. The rainbow pattern is not continuous and includes four black lines of varying width.

The spectrum is graphed as a line. The overall shape of the line resembles a bell curve cut off on the left and right sides. The curve begins on the far left with a brightness of about 0.83, increases to a peak of 1 at about 500 nanometers, and then decreases gradually to a low of about 0.7 on the right side of the graph.

The visible spectrum ranges from photons having wavelengths from about 400 nm to 700 nm. The former is the wavelength of violet light and the latter is the wavlength of red light. Which one has higher energy: a photon of blue light or a photon of red light?

Many spectrophotometers switch between a halogen lamp for the visible range and a deuterium lamp for the ultraviolet range according to the wavelength setting.

These two factors together make up part of a mathematical relationship, called Beer's Law, describing the absorption of light by a material:

At the center is a solid circle representing hydrogen’s nucleus. Six concentric circles representing electron energy levels (or orbitals) surround the nucleus. The circles are labeled “level 1” through “level 6” with level 1 closest to the nucleus, and level 6 farthest. The distance between adjacent energy levels decreases with distance from the nucleus.

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Four scenarios involving absorption of light and electron jumps are shown. In all four cases, the electron is represented as a small circle. Light is represented as a wavy colored arrow. The change in energy level is shown with a dashed, straight white arrow. In all four scenarios, the small circle is positioned on energy level 2 to indicate the electron’s starting energy level.

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That last factor, ε, suggests that not all photons are absorbed easily, or that not all materials are able to absorb photons equally well. There are a couple of reasons for these differences.

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Alternatively, the Planck-Einstien equation can be thought of in terms of frequency of thr photon: as a photon passes through an object, how frequently does one of its "crests" or "troughs" encounter the object? How frequently does one full wavelength of the photon pass an object? That parameter is inversely proportional to the wavelength. The equation becomes:

Absorptionspectra

However, we know that energy is quantized. That means photons will be absorbed only if they have exactly the right amount of energy to promote an electron from its starting energy level to a higher one (producing an "excited state"). Just like Goldilocks, a photon with too much energy won't do the trick. Neither will a photon with too little. It has to be just right.

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This page titled PC1. Absorbance is shared under a CC BY-NC 3.0 license and was authored, remixed, and/or curated by Chris Schaller.

in which E = energy of the photon, h = Planck's constant (6.625 x 10-34 J s-1), c = speed of light (3.0 x 108 m s-1), λ = wavelength of light in m.

By passing this light through a prism or grating, scientists could separate the observed colour into separate lines of different wavelengths. This evidence led directly to the idea of Niels Bohr and others that atoms had electrons in different energy levels, whci is part of our view of electronic structure today.

in which A = Absorbance, the percent of light absorbed; c = the concentration; l = the length of the light's path through the solution; ε = the "absorptivity" or "extinction coeficient" of the material, which is a measure of how easily it absorbs a photon that it encounters.

Imagine sunlight shining through a glass of soda. Maybe it is orange or grape soda; it is definitely coloured. We can see that as sunlight shines through the glass, colored light comes out the other side. Also, less light comes out than goes in.

The relationship between a hydrogen atom and its absorption spectrum. (Left) A simple model of a hydrogen atom showing four of the many possible “jumps” the electron could make when it absorbs light. (Right) The relationship between the electron jumps and the specific wavelengths of light that the atom absorbs. An electron jumps from one energy level to another only when it absorbs a very specific wavelength of light (i.e., when it absorbs a photon with a specific energy). The shorter the wavelength, the higher the energy, and the greater the jump. Wavelengths that are absorbed appear as black lines in the spectrum. This illustration shows a set of jumps that correspond to absorption of visible wavelengths (the Balmer Series).

Light is composed of photons. As photons shine through the solution, some of the molecules catch the photons. They absorb the light. Generally, something in the molecule changes as a result. The molecule absorbs energy from the photon and is left in an excited state.

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How does that affect what we see? If the red light is being absorbed by the material, it isn't coming back out again. The blue and yellow light still are, though. That means the light coming out is less red, and more yellowy-blue. We see green light emerging from the glass.

The more of these molecules there are in the solution, the more photons will be absorbed. If there are twice as many molecules in the path of the light, twice as many photons will be absorbed. If we double the concentration, we double the absorbance.

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Let's think first about the interaction of light with matter. We have all seen light shine on different objects. Some objects are shiny and some are matte or dull. Some objects are different colors. Light interacts with these objects in different ways. Sometimes, light goes straight through an object, such as a window or a piece of glass.

Alternatively, if we kept the concentration of molecules the same, but doubled the length of the vessel through which the light traveled, it would have the same effect as doubling the concentration. Twice as much light would be absorbed.

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This four-part infographic titled “Absorption of Light by Hydrogen” illustrates the relationship between the wavelength of light absorbed by an electron in a hydrogen atom, the change in energy level of the electron, a picture of the absorption lines in the hydrogen spectrum, and the graph of hydrogen’s absorption spectrum. The graphic includes:

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So, what is the soda made of? Molecules. Some of these molecules are principally responsible for the colour of the soda. There are others, such as the ones responsible for the flavor or the fizziness of the drink, as well as plain old water molecules. The soda is a solution; it has lots of molecules (the solute) dissolved in a solvent (the water).

Different materials absorb photons of different wavelengths because absorption of a photon is an absorption of energy. Something must be done with that energy. In the case of ultraviolet and visible light, the energy is of the right general magnitude to excite an electron to a higher energy level.

As a result of this relationship, different photons have different amounts of energy, because different photons have different wavelengths.

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Superimposed on the curve are absorption features: four steep valleys of relatively low brightness. From left to right, the valleys appear at wavelengths of 410 nanometers, 434 nanometers, 486 nanometers, and 656 nanometers. The depths of the valleys increase from left to right.

A "colour wheel" or "colour star" can help us keep track of the idea of complementary colours. When a colour is absorbed on one side of the star, we see mostly the colour on the opposite side of the star.

If the absorption of a UV-visible photon is coupled to the excitation of an electron, what happens when the electron falls back down to the ground state? You might expect a photon to be released.

Four scenarios involving absorption of light and electron jumps are shown. This graph is almost identical to the diagram of the hydrogen atom on the left side of the infographic, but does not show the nucleus of the atom. The energy levels are represented by straight horizontal lines instead of concentric circles. As in the atom diagram, the electron is represented as a small circle. Light is represented as a wavy colored arrow. The change in energy level is shown with a dashed, straight gray arrow.

The three graphics on the right side of the infographic are aligned to show the relationship between the color of light absorbed and the electron jumps, the absorption lines in the picture of the spectrum, and the absorption valleys on the graph.

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The higher the frequency, the higher the energy of the photon. The longer the wavelength, the lower the energy of the photon.

Remember, often a particular soda will absorb light of a particular colour. That means, only certain photons corresponding to a particular colour of light are absorbed by that particular soda.