However, even these two maxima only appear at definite incidence angles close to the Bragg angle, \ theta _ B.
3.
Escaping electrons may exit near to the Bragg angle and diffract to form Kikuchi bands which correspond to each of the lattice diffracting crystal planes.
4.
Because Bragg angles in the diffraction of high energy electrons are very small ( ~ degrees for 300 keV ), Kikuchi bands are quite narrow in reciprocal space.
5.
The recorded hologram is now a three dimensional structure, and it can be shown that incident light is diffracted by the grating only at a particular angle, known as the Bragg angle.
6.
However, defects that produce only displacement of atoms that do not tilt the crystal to the Bragg angle ( i . e . displacements parallel to the crystal plane ) will not produce strong contrast.
7.
If only two planes of atoms were diffracting, as shown in the pictures, then the transition from constructive to destructive interference would be gradual as a function of angle, with gentle maxima at the Bragg angles.
8.
If the sample is oriented so that one particular plane is only slightly tilted away from the strongest diffracting angle ( known as the Bragg Angle ), any distortion of the crystal plane that locally tilts the plane to the Bragg angle will produce particularly strong contrast variations.
9.
If the sample is oriented so that one particular plane is only slightly tilted away from the strongest diffracting angle ( known as the Bragg Angle ), any distortion of the crystal plane that locally tilts the plane to the Bragg angle will produce particularly strong contrast variations.
10.
This is usually described by the static structure factor " S ( q ) ", with wavenumber " q " = ( 4? / ? ) sin? given by the wavelength ? of the probe ( photon or neutron ) and the Bragg angle ?.
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