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Bragg¡¯s Equation (Law)

ÀÛ¼ºÀÚ Uploader : physics ÀÛ¼ºÀÏ Upload Date: 2016-03-21º¯°æÀÏ Update Date: 2016-03-21Á¶È¸¼ö View : 675

Bragg diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. For a crystalline solid, the waves are scattered from lattice planes separated by the interplanar distance d. When the scattered waves interfere constructively, they remain in phase since the path length of each wave is equal to an integer multiple of the wavelength. The path difference between two waves undergoing interference is given by 2dsin¥è, where ¥è is the scattering angle. The effect of the constructive or destructive interference intensifies because of the cumulative effect of reflection in successive crystallographic planes of the crystalline lattice. This leads to Bragg's law, which describes the condition on ¥è for the constructive interference to be at its strongest:

n¥ë= 2dsin(¥è)

where n is a positive integer and ¥ë is the wavelength of incident wave. Note that moving particles, including electrons, protons and neutrons, have an associated wavelength called de Broglie wavelength. A diffraction pattern is obtained by measuring the intensity of scattered waves as a function of scattering angle. Very strong intensities known as Bragg peaks are obtained in the diffraction pattern at the points where the scattering angles satisfy Bragg condition.


*** Âü°í¹®Çå[References] ***

https://en.wikipedia.org/wiki/Bragg%27s_law
n¥ë= 2*d*sin(¥è)
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