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Bragg's Law

Diffraction depends on spacings between scattering bodies and wavelengths of incident radiation.

The Bragg equation relates to the spacing between the crystal planes, dhkl, to the particular Bragg angle, θhkl, at which reflections from these planes are observed. Bragg’s Law indicates that diffraction is only observed when a set of planes make a very specific angle with the incoming x-ray beam. This angle depends on the inter-plane spacing d, which itself depends on the size of the molecules which make up the structure. Bragg reflections show up as spots in a single crystal diffraction experiment.

When an incident beam of light is shone at a crystal, a diffracted beam is produced. However if the distance needed for the incident beam to travel is further, this path difference can be calculated using the Bragg Equation.

Bragg’s Equation: 2dsinθ = nλ

NB: n is always taken as unity.

Each of the d-spacings generated for a set of lattice parameters and choice of integers for h, k and l, can in principle through the Bragg equation give rise to a maximum at a particular diffraction angle, θ.

Positions of diffraction spots and Bragg’s law give the size of the unit cell of the crystal being studied.

The intensity maximums give the atomic positions within the crystal lattice.

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