By Peter Luger
ISBN-10: 3110308282
ISBN-13: 9783110308280
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Then Bragg’s equation becomes λ= 2 sin θ 2 sin θ = ha* h and we get a* = 2 sin θ . 7a) Since θ is given by its y-value, the reciprocal lattice constant a* is obtained from a Weissenberg exposure. 3 Upper level Weissenberg – normal beam and equi-inclination method Let us now proceed to the upper level Weissenberg technique. The experimental conditions are similar to those for the zero layer, except that the layer line screen has to be shifted to prevent all but the desired nth layer to be registered on the film.
11) tn = Rs tan ϕn. 12) For n = 0, ϕ0 = t0 = 0 holds. 6 mm) ω = x/g − ∆ r = (2 sin ∆ cos ϕn)/λ. 13) If n = 0, eq. 7) replaces the equation for r. An advantage of the equi-inclination technique against the normal beam method is obvious. 11), it follows that ϕn has to satisfy (n λ)/(2D) = sin ϕn ≤ 1. It follows that n ≤ (2 D)/λ. 10) shows that in the case of equi-inclination techniques, the maximum number of layers which can be recorded is twice the number of those in the case of the normal beam method.
This is done, at least in parts, by absorption, discussed in the next section. 2 Absorption X-rays are attenuated when passing through matter. This loss of radiation is due to two effects, photoelectrical absorption and scattering. 3 X-rays 27 intensity I0 passes a sample of homogenous material of thickness dx, the loss dI at the element dx is proportional to I0 and dx: dI = – μI0 dx. 22) an expression called Beer’s law. The factor μ, having the dimension of a reciprocal length, is called the linear absorption coefficient.
Modern X-ray analysis on single crystals : a practical guide by Peter Luger
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