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Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)
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A Journey into Reciprocal Space - A Crystallographer's Perspective (Hardcover)
Loot Price: R3,151
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A Journey into Reciprocal Space - A Crystallographer's Perspective (Hardcover)
Series: IOP Concise Physics
Expected to ship within 10 - 15 working days
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The concept of reciprocal space is over 100 years old, and has been
of particular use by crystallographers in order to understand the
patterns of spots when x-rays are diffracted by crystals. However,
it has a much more general use, especially in the physics of the
solid state. In order to understand what it is, how to construct it
and how to make use of it, it is first necessary to start with the
so-called real or direct space and then show how reciprocal space
is related to it. Real space describes the objects we see around
us, especially with regards to crystals, their physical shapes and
symmetries and the arrangements of atoms within: the so-called
crystal structure. Reciprocal space on the other hand deals with
the crystals as seen through their diffraction images. Indeed,
crystallographers are accustomed to working backwards from the
diffraction images to the crystal structures, which we call crystal
structure solution. In solid state physics, one usually works the
other way, starting with reciprocal space to explain various
solid-state properties, such as thermal and electrical phenomena.
In this book, I start with the crystallographer's point of view of
real and reciprocal space and then proceed to develop this in a
form suitable for physics applications. Note that while for the
crystallographer reciprocal space is a handy means of dealing with
diffraction, for the solid-state physicist it is thought of as a
way to describe the formation and motion of waves, in which case
the physicist thinks of reciprocal space in terms of momentum or
wave-vector k-space. This is because, for periodic structures, a
characteristic of normal crystals, elementary quantum excitations,
e.g. phonons and electrons, can be described both as particles and
waves. The treatment given here, will be by necessity brief, but I
would hope that this will suffice to lead the reader to build upon
the concepts described. I have tried to write this book in a
suitable form for both undergraduate and graduate students of what
today we call "condensed matter physics."
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