Abstract. Neutron diffraction data suitable for Rietveld refinements were collected on a powder sample of synthetic Mg(OH)2 by the Polaris time-of-flight spectrometer (ISIS spallation source, U.K.) at 10 -4, 7.8(3) and 10.9(6) GPa. The Paris-Edinburgh high-pressure cell with WC anvils was used. Pressure calibration and equation-ofstate results were attained by separate runs with an NaC1 internal standard. Interpolation of p(V) data by the fourth-order Birch-Murnagban e.o.s, yields K0=41(2 ) GPa, K0=4(2 ) and Ko'= 1.1(9) GPa -1. The bulk modulus obtained is smaller than previously reported results. Rietveld refinements (Rprof= 1.45% and 2.02% at 10 .4 and 10.9 GPa) show that H lies on the threefold axis (1/3, 2/3, z) up to 10.9 GPa, where a model with H disordered in (x, 2x, z) can be refined. In the latter case, a hydrogen bond with O-H=0.902 (7), H..O =2.026(8) A and

The crystalline State and isometric Operations 1 Symmetry elements 3 Axes of rotational symmetry 3 Axes of rototranslation or screw axes 5 Axes of inversion 5 Axes of rotorefiection 5 Refiection planes with translational component (glide planes) 6 Lattices 6 The rational properties of lattices 7 Crystallographic directions 7 Crystallographic planes 8 Symmetry restrictions due to the lattice periodicity and vice versa 9 Point groups and symmetry classes 11 Point groups in one and two dimensions 16 The Laue classes 17 The seven crystal Systems 17 The Bravais lattices 18 Plane lattices 18 Space lattices 19 The space groups 22 The plane and line groups 30 On the matrix representation of symmetry Operators 32 Appendices: LA The isometric transformations 35 l.B Some combinations of movements 37 l.C Wigner-Seitz cells 41 l.D The space-group rotation matrices l.E Symmetry groups l.F Symmetry generalization References Crystallographic Computing Carmelo Giacovazzo

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