Grade 12Inorganic Chemistry
within the unit cell of a Bravais lattice have ide
within the unit cell of a Bravais lattice have identical surroundings.What within the fcc are equivalent to the points(0.5 00)
1 Answer
In geometry and crystallography, a Bravais lattice, studied by Auguste Bravais is an infinite array of discrete points generated by a set of discrete translation operations described by:
R = n1a1 +n2a2 + n3a3
where ni are any integers and ai are known as the primitive vectors which lie in different directions and span the lattice. This discrete set of vectors must be closed under vector addition and subtraction. For any choice of position vector R, the lattice looks exactly the same.A crystal is made up of a periodic arrangement of one or more atoms (the basis) repeated at each lattice point. Consequently, the crystal looks the same when viewed from any equivalent lattice point, namely those separated by the translation of one unit cell
R = n1a1 +n2a2 + n3a3
where ni are any integers and ai are known as the primitive vectors which lie in different directions and span the lattice. This discrete set of vectors must be closed under vector addition and subtraction. For any choice of position vector R, the lattice looks exactly the same.A crystal is made up of a periodic arrangement of one or more atoms (the basis) repeated at each lattice point. Consequently, the crystal looks the same when viewed from any equivalent lattice point, namely those separated by the translation of one unit cell
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