Rotating-Crystal Method and Fiber Diagram

Guinier, A., X-ray Diffraction in Crystals, Imperfect Crystals, and Amorphous Bodies, Freeman, San Fransisco, 1963, p. 86. 

Sketch the hOl layer of the reciprocal lattice of a monoclinic crystal having a = 3.2 A, b = 2.8 A, c = 4.0 A, and the angle between a and c axes equal to 60°. Choose a suitable scale constant to show all the reciprocal lattice points up to h =4 and 1 = 6. 

Given the angles a, and y between the axes of the crystal lattice, derive the expression for the angles a, / , and y between the axes of the reciprocal lattice. 

Show that the unit cell volume of the reciprocal lattice is equal to l/yu, where Vu is the unit cell volume of the real lattice. 

Show that the inverse Fourier transform of the function Z(s) defined by (C. 10) and (C.l 1) indeed leads to the lattice function z(r) given by (C.5), ignoring the exact value of the proportionality constant. 

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