Crystallographic positions Crystallographic position is denoted by three numbers, which are coefficients of the position vector, e.g. ½½½ for the red atom. Here the 'new' atom is at a/2 + b/2 + c/2 Silicon crystal has so-called "diamond type lattice". Each Si atom has 4 nearest neighbors. Diamond lattice starts with a FCC lattice and then adds four additional INTERNAL atoms at locations r = a/4+b/4+c/4 away from each of the atoms. In other words, diamond lattice is formed by two FCC lattices sifted by the vector r. Crystallographic positions Identify crystallographic positions of the atoms marked with red circles in silicon unit cell.

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Crystallographic positions
Crystallographic position
is denoted by three
numbers, which are
coefficients of the
position vector, e.g. ½½½
for the red atom.
Here the 'new' atom is at a/2 + b/2 + c/2
Silicon crystal has so-called "diamond type lattice".
Each Si atom has 4 nearest neighbors.
Diamond lattice starts with a FCC lattice and then
adds four additional INTERNAL atoms at locations
r = a/4+b/4+c/4 away from each of the atoms. In
other words, diamond lattice is formed by two FCC
lattices sifted by the vector r.
Transcribed Image Text:Crystallographic positions Crystallographic position is denoted by three numbers, which are coefficients of the position vector, e.g. ½½½ for the red atom. Here the 'new' atom is at a/2 + b/2 + c/2 Silicon crystal has so-called "diamond type lattice". Each Si atom has 4 nearest neighbors. Diamond lattice starts with a FCC lattice and then adds four additional INTERNAL atoms at locations r = a/4+b/4+c/4 away from each of the atoms. In other words, diamond lattice is formed by two FCC lattices sifted by the vector r.
Crystallographic positions
Identify crystallographic positions of the atoms marked with red circles in
silicon unit cell.
Transcribed Image Text:Crystallographic positions Identify crystallographic positions of the atoms marked with red circles in silicon unit cell.
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