November 12th 1842 - June 30th 1919
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)
Rayleigh, born at Witham in Essex, succeeded to his father's title in 1873. He graduated in mathematics from Cambridge University in 1865 and remained at Cambridge until his marriage, in 1871, to Evelyn Balfour, sister of the statesman Lord Balfour. In the following year poor health, which had also disrupted his schooling as a child, necessitated a break from academic life and recuperation in a warmer climate. During this convalescence, which was spent traveling up the Nile in a houseboat, Rayleigh wrote The Theory of Sound, which remains a classic in writings on acoustics.
On his return to England, Rayleigh built a laboratory next to his family home. Apart from the period 1879-84, when he succeeded James Clerk Maxwell as Cavendish Professor of Experimental Physics at Cambridge, Rayleigh carried out most of his work in this private laboratory. Of his early work the best known is his equation to account for the blue colour of the sky, which (confirming John Tyndall's theory) concerned light scattering by small particles in the atmosphere. The amount of scattering depends on the wavelength of the light, and this causes the blue colour. From this theory came the scattering law, an important concept in studies of wave propagation. Rayleigh also did a vast amount of work on other problems in physics, particularly in optics and acoustics.
While serving as Cavendish Professor, Rayleigh concerned himself with the precise measuring of electrical standards. He invented the Rayleigh potentiometer for precise measurement of potential difference. He extended this precision to the determination of the density of gases, and made the seemingly strange observation that nitrogen from air is always slightly denser than nitrogen obtained from a chemical compound. This led to his collaboration with William Ramsay that resulted in the discovery of argon. Rayleigh received the Nobel Prize for physics for this work in 1904; in the same year Ramsay was awarded the chemistry prize.
Craters on Mars and the Moon are named in his honor as well as a type of surface wave known as a Rayleigh wave. The asteroid 22740 Rayleigh was named in his honour on 1 June 2007.
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