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OK....So what does all this have to do with a blue sky?
Because the atomic nuclei in the molecules are massive (in atomic scale terms), the alternating forces of ATTRACTION and REPULSION from the passing light waves move the nuclei very little if any at all. The tiny electrons however are jiggled rapidly back and forth . So....
2. A moving electric charge CREATES A MOVING MAGNETIC FIELD....
(remember and so on to infinity on page 2)

4. This is called RAYLEIGH SCATTERING after John William Strutt Rayleigh (Lord Rayleigh).
Sunlight is scattered in all directions in the atmosphere by Oxygen and Nitrogen molecules, which are much smaller than the wavelength of visible light. Because the O2 and N2 molecules are small all the electrons experience the same force at the same time making this a fairly straightforward situation. In bigger molecules electrons may be moving in different directions and scattering in much more complex ways.

Because red light has a longer wavelength than blue light (recall that white light from the sun is the sum of Red-Orange-Yellow-Green-Blue-Violet) the electrons are accelerated (jiggled) back and forth faster by blue light than by red light AND THEREFORE more blue light is scattered than red light (It may not be obvious from this but blue light jiggles the electrons faster than red, orange, yellow or green light so they radiate - that is scatter - blue light). As a matter of fact if you look into the mathematics that describes this (I will not do that here) we find that 4.92 times more blue light (wavelength 470 nanometers) is scattered than red light (700 nanometers).
| Wavelength | Scattering | |
|---|---|---|
| Color | (nanometers) | (multiple of red at 700nm) |
| Red | 630 - 760 | at 700nm 1.00 |
| Orange | 590 - 630 | at 610nm 1.73 |
| Yellow | 560 - 590 | at 575nm 2.20 |
| Green | 490 - 560 | at 525nm 3.16 |
| Blue | 450 - 490 | at 470nm 4.92 |
| Violet | 380 - 450 | at 415nm 8.09 |

© 2008 Steven L. Horstmeyer, all rights reserved

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