By Lesley E. Smart, Elaine A. Moore
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Extra info for Solid State Chemistry: An Introduction
26 A rectangular net showing five sets of lines, A–E, with unit cells marked. 28. 27(a), the shaded planes lie parallel to y and z, but leave the unit cell edge a undivided; the Miller planes are the indices of these planes are thus 100. Again, take note that the hkl and same. 6 INTERPLANAR SPACINGS It is sometimes useful to be able to calculate the perpendicular distance dhkl between parallel planes (Miller indices hkl). 5. 7 PACKING DIAGRAMS Drawing structures in three-dimensions is not easy and so crystal structures are often represented by two-dimensional plans or projections of the unit cell contents—in much the same way as an architect makes building plans.
It can be described as an hcp array of arsenic atoms with nickel atoms occupying the octahedral holes. The geometry about the nickel atoms is thus octahedral. 36). 38, respectively. They are named after two different naturally occurring mineral forms of zinc sulfide. Zinc blende is often contaminated by iron, making it very dark in colour and thus lending it the name of ‘Black Jack’. Structures of the same element or compound that differ only in their atomic arrangements are termed polymorphs. 36 (a) The unit cell of nickel arsenide, NiAs.
16 A one-dimensional lattice (a,b) and the choice of unit cells (c). 17 Choice of unit cell in a square two-dimensional lattice. lattice points as long as they each have identical surroundings. 16(c), we have moved the lattice points and the unit cell, but repeating this unit cell will still give the same array—we have simply moved the origin of the unit cell. ’ Many can always be chosen, and the choice depends both on convenience and convention. This is equally true in two and three dimensions.