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add a lattice point to the center of each cube of a simple cubic lattice points a mark the simple cubic lattice points b mark the newly added points points a and b equivalent points b constitute a simple cubic sublattice with a at the center the roles of a and b can be reversed a bcc lattice is a bravais lattice daniele to oli december 7, 2016
in geometry and crystallography, a bravais lattice, named after auguste bravais (), is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by: = + + where n i are any integers and a i are primitive vectors which lie in different directions (not necessarily mutually perpendicular) and span the lattice.
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the bravais lattices the bravais lattice are the distinct lattice types which when repeated can fill the whole space. the lattice can therefore be generated by three unit vectors, a 1, a 2 and a 3 and a set of integers k, l and m so that each lattice point, identified by a vector r, can be obtained from: r = k a 1 + l a 2 + m a 3. in two dimensions there are five distinct bravais lattices