17th CenturyNewton and Huygens

Newton: Optics

White light split by a prism into colors and put back together, and the questions Newton left for later science.

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Volume
32 of the 1990 set
Author
Isaac Newton (1642–1727)
Work
Optics 1704

Ideas: Light and color Experiment and observation Method: how to find things out

Read the full text, free: Opticks, 4th edition (London, 1730), Internet Archive

For young readers

About ages 8 to 12. Read it together, or on your own.

When Isaac Newton was a young man, he bought a glass prism at a fair. He darkened his room, made a small hole in the window shutter, and let a thin beam of sunlight pass through the prism. On the far wall appeared a long band of colors: red, orange, yellow, green, blue and violet.

People in Newton's day thought the prism added the colors to the light, the way paint adds color to a wall. Newton thought the opposite: the colors were already hiding inside the white sunlight, and the prism only sorted them, bending each color by a different amount.

Sunlight goes in white and comes out as a rainbow band. Violet bends the most, red the least.

To prove it, he used a second prism. He let only one color, say red, pass through a little hole and into the second prism. If prisms added colors, more colors should come out. Instead, red went in and red came out, just bent a bit more. And when he put all the colors back together with a lens, he got white light again!

Try this

Make a spectrum. On a sunny day, set a glass of water on a white sheet of paper by a sunny window, or hold a CD so sunlight reflects off it onto a wall. Can you find all the colors in order? Then make a color top: color a paper circle in six slices (red, orange, yellow, green, blue, violet), poke a pencil through the middle and spin it fast. What color does it look?

For teens and adults

The full lesson.

Who, when and the problem

Newton did his first prism experiments in 1665–1666, while still a young Cambridge graduate, and lectured on optics as professor from 1670. In 1672 he sent the Royal Society a short paper, "A New Theory about Light and Colours," and a small reflecting telescope he had built. The paper started years of arguments with Robert Hooke, Christiaan Huygens and others, and Newton disliked the quarrels so much that he waited to publish a full book until after Hooke's death. Opticks appeared in English in 1704; a Latin edition followed in 1706, and Newton's last corrections went into the fourth edition of 1730.

The problem: what is color? The common view, going back to Aristotle and held in new forms by Descartes and Hooke, was that white light is pure and simple and that colors are made by changing it, for example by mixing it with darkness at the edge of a prism. Newton set out to settle the question by experiment instead of by argument.

The main ideas

  • White light is a mixture. Sunlight is made of rays that bend by different amounts in glass ("differently refrangible"), and each kind of ray has its own color.
  • A prism sorts, it does not create. A single color separated out by one prism is not changed by a second one: it bends again by its own amount and keeps its color.
  • Colors can be mixed back into white, and Newton arranged the colors around a circle to predict the results of mixing them.
  • The colors of objects come from which rays they reflect most strongly. A red apple reflects red rays more than others.
  • Thin films and rings. In Book II Newton measured the colored rings formed in the thin layer of air between a lens and a flat glass, now called Newton's rings, and found they repeat at regular thicknesses.
  • The Queries. Book III ends with a series of questions about light, heat, gravity, chemistry and the nature of matter, which became a research program for the next century.

The Light of the Sun consists of Rays differently Refrangible.

In a very dark Chamber, at a round Hole, about one third Part of an Inch broad, made in the Shut of a Window, I placed a Glass Prism, whereby the Beam of the Sun's Light, which came in at that Hole, might be refracted upwards toward the opposite Wall of the Chamber, and there form a colour'd Image of the Sun.

Isaac Newton, Opticks, Book I, Part I, Proposition II, Theorem II, Experiment 3. 4th edition, William Innys, London, 1730. Internet Archive. Spelling as printed, with the long s modernized.
Turn the prism and watch the spectrum move. Switch on the second prism: a single color picked out by the slit bends again but stays one color. This was Newton's "crucial experiment."

Key idea

At each glass surface, light obeys the law of refraction: $n_1 \sin\theta_1 = n_2 \sin\theta_2$. In glass the index $n$ is a little larger for violet (about 1.53) than for red (about 1.51), so violet bends more. That small difference spreads white light into a spectrum, which we call dispersion.

Worked example: How much more does violet bend?

Light enters glass from air at $50^\circ$ from the perpendicular. The glass has $n = 1.51$ for red and $n = 1.53$ for violet. Find the angle inside the glass for each color.
  1. Red: $\sin\theta = \dfrac{\sin 50^\circ}{1.51} = \dfrac{0.766}{1.51} = 0.507$, so $\theta \approx 30.5^\circ$.
  2. Violet: $\sin\theta = \dfrac{0.766}{1.53} = 0.501$, so $\theta \approx 30.0^\circ$.

Answer: About $30.5^\circ$ for red and $30.0^\circ$ for violet. Violet is bent half a degree more toward the perpendicular, and a second surface doubles the spread.

Colors are in us, as well as in the light

For the Rays to speak properly are not coloured. In them there is nothing else than a certain Power and Disposition to stir up a Sensation of this or that Colour.

Isaac Newton, Opticks, Book I, Part II, Proposition II, Definition. 4th edition, William Innys, London, 1730. Internet Archive. Spelling as printed, with the long s modernized.

Newton is careful here. Red is not a paint on the ray. A ray has a certain power to make us see red. That distinction between the physics of light and the sensation of color is still how color science thinks today.

Why seven colors?

Newton named seven colors: red, orange, yellow, green, blue, indigo and violet. The spectrum itself has no sharp edges, and in early work he named five. In Opticks he divided it in the same proportions as the notes of a musical scale, which has seven steps before the octave. So the "seven colors of the rainbow" are partly a choice, made by a man who also loved the idea that nature's patterns rhyme.

Setting the record straight

  • Newton was not the first to make a spectrum. People had seen prism colors for centuries, and Descartes had explained the rainbow's angle in 1637. What was new was Newton's proof that white light is a mixture, and his measurements.
  • Newton was wrong about telescope lenses. He concluded that the colored fringes made by lenses could never be removed, so he turned to mirrors. In 1733 Chester Moor Hall, and in 1758 John Dollond, made "achromatic" lenses from two kinds of glass that cancel most of the color. The mistake came from assuming all glass and water spread colors in the same proportion.
  • Particles or waves? Newton leaned toward light being made of tiny bodies, but he put this as a question (Query 29), not a claim, and he also used waves of some kind to explain his rings.

What later science kept, and what it changed

  • Kept: white light as a mixture, dispersion, colors from selective reflection, and the color circle, which led to the modern color wheel and to the idea that three primary lights can make most colors.
  • Changed: Thomas Young (1801–1803) used Newton's own ring measurements to work out the wavelengths of light, showing that each color is a wave of a different length: about 700 billionths of a meter for red, 400 for violet. In the 1860s James Clerk Maxwell showed light is an electromagnetic wave.
  • Then changed again: in 1905 Einstein proposed that light also comes in packets of energy, photons. Today light is described by quantum theory, which has room for both pictures. Newton's guess about particles was not simply wrong, nor was Huygens's wave picture.

Going deeper

Context, the big questions, and how later books answered.

A different style of science. The Principia is written like geometry. Opticks is written in plain English, as a series of experiments that anyone with a dark room and a prism could repeat. It became a model for the experimental science of the 18th century, as the Principia was for the mathematical. Benjamin Franklin and many others learned their science from it.

The Queries. In the later editions the book ends with 31 Queries. They ask whether heat is a vibration, whether bodies and light turn into each other, whether chemical changes come from forces between small particles, and whether an ether fills space. Newton framed them as questions on purpose: these were things he could not yet prove. Lavoisier's chemistry and Faraday's fields, later on this ladder, took up several of them.

Are not the Rays of Light very small Bodies emitted from shining Substances?

Isaac Newton, Opticks, Book III, Query 29. 4th edition, William Innys, London, 1730. Internet Archive. Spelling as printed, with the long s modernized.

Color and the poets. Some writers felt Newton had "unwoven the rainbow." Goethe, in his Theory of Colours (1810), rejected Newton's theory and studied color as an experience instead. Physicists sided with Newton on the physics, but Goethe's careful descriptions of how we see colors are still read by artists and psychologists. Is something lost when we explain a rainbow? Or gained?

Compare: Huygens's Treatise on Light, the next rung, explains reflection and refraction by waves, but says nothing about color. Newton explains color, but struggles with why light bends. Each had the piece the other lacked.

Talk about it together

  1. People thought prisms added color to light. Newton showed the colors were already there. What experiment would convince you?
  2. Newton waited many years to publish because arguments upset him. Is arguing about ideas good for science? Can it go too far?
  3. Newton said rays are not colored; they make us see color. Is the redness of an apple in the apple, in the light, or in you?
  4. Why do you think Newton chose seven colors? How many do you see in a rainbow?
  5. Newton was right about many things and wrong about telescope lenses. What can we learn from a great scientist's mistake?
  6. Newton ended his book with questions instead of answers. Why might a scientist do that?

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