Download Introduction to solids. by Leonid V. Azaroff PDF

By Leonid V. Azaroff

This research of strong nation relies at the premise that something nearly all of solids of sensible significance have in universal is they are crystalline. the significance of crystallography has lengthy been famous. this can be the 1st try and use the crystallinity of solids as a framework for discussiing their nature and houses. Concentrates at the constitution, nature and houses of inorganic crystalline solids, overlaying almost all very important points of strong nation.

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Extra resources for Introduction to solids.

Sample text

E 35 Such a lattice can contain a 1-fold axis or a 2-fold axis normal to the lattice plane. It cannot accommodate other symmetry elements, however. For example, a mirror-reflection line (the two-dimensional equivalent of a mirror plane in three dimensions) requires that the lattice points lie on rows both parallel and perpendicular to the reflection line. This results in either a rectangular lattice or a diamond lattice, as shown in Fig. 35B Chapter 32 2 A special case of the diamond lattice, wherein the angle between and C.

The arrows in the plane of this figure indicate the 2-fold axes along [[110]] ; a two-sided arrowhead indicates a 2 and a single-sided arrowhead indicates a 2X. The general position xyz is indicated in this drawing by a circle; a + near the circle indicates that it lies above the plane of the drawing and a — indicates that it lies an equal distance below the plane. Finally, a comma enclosed within a circle denotes an enantiomorphous °2 /K /\ S\ Fig. 3 relationship to a symmetry-related circle containing no comma.

The translation component T of a glide plane is / of the normal V equal to one-half translation of the lattice in the A direction of the glide. Thus a glide \ T/\ along the a axis has T = \a and is * """*^ called an a glide. a + %b or etc. The different possible glides and their translation com + ponents are listed in Table 4. Glide planes. parallel / / /' /" J " / / |i Symmetry groups The symmetry elements described above are the only ways of repetition compatible with translation periodicity.

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