Crystal Structure

how crystal systems are described in mineralogy
using lattices of points
unit cell
this is created by joining the points of the space lattice to produce a series of parallel-sided boxes
each unit cell contains…
a complete unit of the crystal pattern, because the complete pattern is reproduced at each lattice point
how the particular unit cell is chosen for a space lattice
generally selected as a matter of convenience in visualizing the symmetry and making the mathematical computations
the unit cell is defined by…
the parameters a, b, and c (the x, y, and z dimensions of the unit cell) and the angles ?, ?, and ?
the angle ? in unit cells
the angle between the b and c axes
the angle ? in unit cells
the angle between the a and c axes
the angle ? in unit cells
the angle between the a and b axes
unit cell formula
the chemical composition of a unit cell in a mineral
the difference between crystal structure and crystal lattice
-a crystal structure is real and tangible; describes the actual physical assemblages of atoms in the structure
-a crystal lattice is conceptual and reflects an infinite and uniform distribution of points in space
the number of unique ways in which lattice points can be arranged in 3D space
14
the Bravais lattices
the types of lattices that occur in minerals
the Bravais lattices are divided into 6 ______ based on ______.
crystal systems
the symmetry of the 3D structure
the Bravais types
PCIFR
Bravis type P
primitive lattice
Bravis type C
primitive lattice that includes a lattice point centered in the ab plane of the monoclinic system
Bravis type I
primitive lattice that includes a lattice point that is centered within the body of the primitive lattice (termed body centered) of the cubic, tetragonal, and orthorhombic systems
Bravis type F
primitive lattice that includes lattice points centered on all faces of the primitive lattice of the cubic and orthorhombic systems
Bravis type R
the rhombohedral (trigonal) lattice type of the hexagonal system
how crystal systems are described in mineralogy
using lattices of points
unit cell
this is created by joining the points of the space lattice to produce a series of parallel-sided boxes
each unit cell contains…
a complete unit of the crystal pattern, because the complete pattern is reproduced at each lattice point
how the particular unit cell is chosen for a space lattice
generally selected as a matter of convenience in visualizing the symmetry and making the mathematical computations
the unit cell is defined by…
the parameters a, b, and c (the x, y, and z dimensions of the unit cell) and the angles ?, ?, and ?
the angle ? in unit cells
the angle between the b and c axes
the angle ? in unit cells
the angle between the a and c axes
the angle ? in unit cells
the angle between the a and b axes
unit cell formula
the chemical composition of a unit cell in a mineral
the difference between crystal structure and crystal lattice
-a crystal structure is real and tangible; describes the actual physical assemblages of atoms in the structure
-a crystal lattice is conceptual and reflects an infinite and uniform distribution of points in space
the number of unique ways in which lattice points can be arranged in 3D space
14
the Bravais lattices
the types of lattices that occur in minerals
the Bravais lattices are divided into 6 ______ based on ______.
crystal systems
the symmetry of the 3D structure
the Bravais types
PCIFR
Bravis type P
primitive lattice
Bravis type C
primitive lattice that includes a lattice point centered in the ab plane of the monoclinic system
Bravis type I
primitive lattice that includes a lattice point that is centered within the body of the primitive lattice (termed body centered) of the cubic, tetragonal, and orthorhombic systems
Bravis type F
primitive lattice that includes lattice points centered on all faces of the primitive lattice of the cubic and orthorhombic systems
Bravis type R
the rhombohedral (trigonal) lattice type of the hexagonal system
x

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