Olivine's crystal structure incorporates aspects of the orthorhombic P Bravais lattice, which arise from each silica ( SiO 4 ) unit being joined by metal divalent cations with each oxygen in SiO 4 bound to 3 metal ions.
42.
The conventional cell for the rhombohedral Bravais lattice is the rhombohedrally-centered ( R-centered ) hexagonal cell, consisting of two additional lattice points which occupy the longest body diagonal of the unit cell with coordinates (,, ) and (,, ).
43.
Since the lattice points are displaced by the Bravais lattice vectors, \ scriptstyle \ mathbf { R }, scattered waves interfere constructively when the above condition holds simultaneously for all values of \ scriptstyle \ mathbf { R } which are Bravais lattice vectors, the condition then becomes:
44.
Since the lattice points are displaced by the Bravais lattice vectors, \ scriptstyle \ mathbf { R }, scattered waves interfere constructively when the above condition holds simultaneously for all values of \ scriptstyle \ mathbf { R } which are Bravais lattice vectors, the condition then becomes:
45.
The unit cell for the hexagonal Bravais lattice in rhombohedral axes, consisting of two additional lattice points which occupy the longest body diagonal of the unit cell with coordinates (,, ) and (,, ), is called the hexagonally-centered ( D-centered ) rhombohedral cell.
46.
Despite the hundreds of thousands of known minerals, there are rather few possible types of arrangement of atoms in a crystal, defined by crystal structure, crystal system, and point group; for example, there are exactly 14 Bravais lattices for the 7 lattice systems in three-dimensional space.
47.
Every crystal is a periodic structure which can be characterized by a Bravais lattice, and for each Bravais lattice we can determine the reciprocal lattice, which encapsulates the periodicity in a set of three reciprocal lattice vectors ( "'b 1, b 2, b 3 "').
48.
Every crystal is a periodic structure which can be characterized by a Bravais lattice, and for each Bravais lattice we can determine the reciprocal lattice, which encapsulates the periodicity in a set of three reciprocal lattice vectors ( "'b 1, b 2, b 3 "').
49.
The Bravais lattice of the space group is determined by the lattice system together with the initial letter of its name, which for the non-rhombohedral groups is P, I, F, or C, standing for the principal, body centered, face centered, or C-face centered lattices.
50.
A crystal is a solid material whose constituent atoms, molecules, or ions are arranged in an orderly repeating pattern extending in all three spatial dimensions . "'Crystal growth "'is a major stage of a crystallization process, and consists in the addition of new atoms, ions, or polymer strings into the characteristic arrangement of a crystalline Bravais lattice.
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