These rods originate at the conventional 2D reciprocal lattice points of the sample s surface.
2.
This allows the diffraction experiment to reveal more of the two-dimensional distribution of reciprocal lattice points.
3.
K _ i "'then diffraction will occur only for reciprocal lattice points that lie on the surface of the Ewald sphere.
4.
Alternatively the reciprocal lattice points lie a long a cylinder with a constant \ xi value whose axis is coincident with the rotation axis.
5.
This condition results in rods of intensity in reciprocal space, oriented perpendicular to the surface and passing through the reciprocal lattice points of the surface, as in Fig . 1.
6.
The value of the structure factor is the same for all these reciprocal lattice points, and the intensity varies only due to changes in f with \ mathbf { q }.
7.
The vertical coordinate \ zeta has a special significance, since all the reciprocal lattice points which have a constant \ zeta value lie in the plane normal to the rotation axis.
8.
The reciprocal lattice points are the values of momentum transfer where the Bragg diffraction condition is satisfied and for diffraction to occur the scattering vector must be equal to a reciprocal lattice vector.
9.
The first Brillouin zone is the locus of points in reciprocal space that are closer to the origin of the reciprocal lattice than they are to any other reciprocal lattice points ( see the derivation of the Wigner-Seitz cell ).
10.
In crystallography when F _ { hkl } is used, N is large, and the formal size effect on diffraction is taken as \ left [ \ frac { \ sin ( N q a / 2 ) } { ( q a / 2 ) } \ right ] ^ 2, which is the same as the expression for S ( q ) above near to the reciprocal lattice points, q \ approx 2 k \ pi / a.
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