# Difference between revisions of "Bragg's law"

### From Online Dictionary of Crystallography

AndreAuthier (talk | contribs) |
AndreAuthier (talk | contribs) |
||

Line 3: | Line 3: | ||

== Definition == | == Definition == | ||

− | < | + | Bragg's law provides the condition for a plane wave to be diffracted by a family of lattice planes: |

+ | |||

+ | <center> | ||

+ | 2 ''d<sub>hkl</sub>'' sin θ = ''n'' λ. | ||

+ | </center> | ||

+ | |||

+ | where <math> d_{hkl} </math> is the '''lattice''' spacing, θ the angle between the wavevector of the incident plane wave and the reflecting planes, λ its wave length and ''n'' is an integer, the order of the reflection. It is equivalent to the diffraction condition in reciprocal space and to the [[Laue equations]]. | ||

## Revision as of 07:37, 27 March 2006

Loi de Bragg (*Fr*). Bragg Gesetz (*Ge*). Ley de Bragg (*Sp*). Legge di Bragg (*It*)

## Definition

Bragg's law provides the condition for a plane wave to be diffracted by a family of lattice planes:

2 *d _{hkl}* sin θ =

*n*λ.

where [math] d_{hkl} [/math] is the **lattice** spacing, θ the angle between the wavevector of the incident plane wave and the reflecting planes, λ its wave length and *n* is an integer, the order of the reflection. It is equivalent to the diffraction condition in reciprocal space and to the Laue equations.

## History

Bragg (1890-1971) presented his derivation of the reflection condition at a meeting of the Cambridge Philosophical Society on 11 November 1912. His paper was published in 1913 (Bragg W.L., 1913, *The Diffraction of Short Electromagnetic Waves by a Crystal*, *Proc. Cambridge Phil. Soc.*, **17**, 43-57. For details, see P. P. Ewald, 1962, IUCr, 50 Years of X-ray Diffraction, Section 5, page 64.

## See also