**absolute value of a vector**- Vectors
**affine mapping**- Mappings and symmetry operations
**affine space**- Points and their coordinates
**angle****calculation of**- Distances and angles

**angle of rotation**- The geometric meaning of
**associative**- Vectors | Rules for matrix calculations | Combination and reversion of
**augmented column**- () matrices
**augmented matrix**- () matrices
**axis****of rotation**- Isometries | The geometric meaning of
**of rotoinversion**- Isometries | The geometric meaning of

**basis**- Vector coefficients
**conventional**- The scalar product and
**orthonormal**- The scalar product and
**primitive**- The scalar product and | Space-group operations

**basis vectors**- Vector coefficients
**Cartesian coordinates**- Special coordinate systems: Cartesian
**center of inversion**- Isometries
**centered lattice**- The scalar product and
**coefficients of a vector**- Vector coefficients
**column index**- The matrix formalism
**column matrix**- The matrix formalism
**column, augmented**- () matrices
**commutative**- Vectors | Rules for matrix calculations
**conventional basis**- The scalar product and
**coordinate axes**- Points and their coordinates
**coordinate system**- Points and their coordinates
**coordinate transformation**- Points and their coordinates | Coordinate transformations | General coordinate transformations
**coordinates****Cartesian**- Special coordinate systems: Cartesian
**parallel**- Points and their coordinates | Special coordinate systems: Cartesian

**crystal class**- Crystallographic groups
**crystal pattern**- The scalar product and
**crystallographic symmetry operation**- The geometric meaning of
**dependent, linearly**- Vectors
**determinant**- The geometric meaning of
**diagonal matrix**- The matrix formalism
**dimension**- Vectors
**distance****calculation of**- Distances and angles | Distances and angles | Distances and angles

**distributive**- Rules for matrix calculations
**Euclidean space**- Points and their coordinates
**finite group**- Crystallographic groups
**fixed point**- Isometries | The geometric meaning of
**fundamental matrix**- Distances and angles
**general position**- The `General Position' in | The `General Position' in
**glide part**- The geometric meaning of
**glide plane**- Isometries
**glide reflection**- Isometries | Space-group operations | The geometric meaning of
**glide vector**- Isometries | The geometric meaning of
**group****finite**- Crystallographic groups
**infinite**- Crystallographic groups
**order of a**- Crystallographic groups

**Hermann-Mauguin symbol**- Crystallographic site-symmetry operations
*HM*symbol- Crystallographic site-symmetry operations
**identity**- Isometries | Combination and reversion of | The geometric meaning of
**image**- Mappings and symmetry operations
**improper isometry**- Isometries
**independent, linearly**- Vectors
**indices notation**- Rules for matrix calculations
**infinite group**- Crystallographic groups
**integer matrix**- The matrix formalism | The matrix-column pairs of
**intrinsic translation part**- The geometric meaning of
**intrinsic translation part**- The geometric meaning of
**inverse matrix**- Inversion of a matrix
**inversion**- Isometries
| Crystallographic site-symmetry operations
| The geometric meaning of
**center of**- Isometries | The geometric meaning of

**isometric mapping**- Mappings and symmetry operations
**isometry**- Mappings and symmetry operations
| Isometries
**first kind**- Mappings and symmetry operations | Isometries
**improper**- Isometries
**order of**- Crystallographic site-symmetry operations
**proper**- Isometries
**second kind**- Isometries

**IT A**- List of symbols
**lattice****centered**- The scalar product and
**primitive**- The scalar product and

**lattice basis**- The scalar product and
**primitive**- The scalar product and

**lattice constants**- The scalar product and
**lattice vector**- The scalar product and
**law****associative**- Vectors
**commutative**- Vectors

**law of composition**- Combination and reversion of
**length of a vector**- Vectors
**linear combination**- Vector coefficients
**linearly dependent**- Vectors
**linearly independent**- Vectors
**location part**- The geometric meaning of
**mapping**- Mappings and symmetry operations
**affine**- Mappings and symmetry operations
**isometric**- Mappings and symmetry operations
**non-singular**- Combination and reversion of
**regular**- Combination and reversion of

**matrix**- The matrix formalism
**augmented**- () matrices
**diagonal**- The matrix formalism
**fundamental**- Distances and angles
**integer**- The matrix formalism | The matrix-column pairs of
**inverse**- Inversion of a matrix
**orthogonal**- Inversion of a matrix
**rational**- The matrix formalism
**regular**- Determinants
**singular**- Determinants
**symmetric**- The matrix formalism
**transposed**- The matrix formalism
**unit**- The matrix formalism

**matrix notation**- Motivation
**matrix product**- Rules for matrix calculations
**matrix-column pair**- Rules for matrix calculations | Matrix-column pairs
**mirror plane**- Isometries
**motion**- Mappings and symmetry operations
**rigid**- Mappings and symmetry operations

**multiplication table**- Determination of the matrix-column
**-fold**- Crystallographic site-symmetry operations
**non-singular mapping**- Combination and reversion of
-matrix**O**- The matrix formalism
**o**-vector- Vectors
**orbit of points**- The `General Position' in
**order of a group**- Crystallographic groups
**order of an isometry**- Crystallographic site-symmetry operations
**origin**- Points and their coordinates
**orthogonal matrix**- Inversion of a matrix
**orthonormal basis**- The scalar product and
**parallel coordinates**- Points and their coordinates | Special coordinate systems: Cartesian
**parallelogram of forces**- Vectors
**point group**- Crystallographic site-symmetry operations | Crystallographic groups | Crystallographic groups
**point lattice**- Change of basis
**point orbit**- The `General Position' in
**point space**- Points and their coordinates
**position****general**- The `General Position' in | The `General Position' in
**special**- The `General Position' in

**primitive basis**- The scalar product and
**primitive lattice**- The scalar product and
**primitive lattice basis**- The scalar product and | Space-group operations
**product of matrices**- Rules for matrix calculations
**projection**- Mappings and symmetry operations | Combination and reversion of
**proper isometry**- Isometries
**rational matrix**- The matrix formalism
**reduced operation**- The geometric meaning of
**reflection**- Isometries | Crystallographic site-symmetry operations | The geometric meaning of
**reflection plane**- Isometries
**regular mapping**- Combination and reversion of
**regular matrix**- Determinants
**reverse operation**- Combination and reversion of
**rigid motion**- Mappings and symmetry operations
**rotation**- Isometries | Crystallographic site-symmetry operations | The geometric meaning of | The geometric meaning of
**rotation angle**- Isometries | The geometric meaning of
**rotation axis**- Isometries | The geometric meaning of
**rotoinversion**- Isometries | Crystallographic site-symmetry operations | Display of crystallographic symmetry | The geometric meaning of
**rotoinversion axis**- Isometries | The geometric meaning of
**row index**- The matrix formalism
**row matrix**- The matrix formalism
**scalar product**- Points and their coordinates | The scalar product and
**screw axis**- Isometries
**screw part**- The geometric meaning of
**screw rotation**- Isometries | Space-group operations | The geometric meaning of
**screw vector**- Isometries | Space-group operations | The geometric meaning of
**Seitz notation**- Matrix-column pairs
**singular matrix**- Determinants
**site symmetry**- Crystallographic site-symmetry operations | Crystallographic site-symmetry operations
**space****affine**- Points and their coordinates
**point**- Points and their coordinates
**vector**- Vectors

**space group**- Crystallographic site-symmetry operations | Crystallographic groups
**space-group type**- Crystallographic groups | The `General Position' in
**special position**- The `General Position' in
**square matrix**- The matrix formalism
**subgroup**- Crystallographic groups
**symbol, Hermann-Mauguin**- Crystallographic site-symmetry operations
**symmetric matrix**- The matrix formalism
**symmetry**- Mappings and symmetry operations
**symmetry element**- Display of crystallographic symmetry
**symmetry operation**- Mappings and symmetry operations
| Display of crystallographic symmetry
**crystallographic**- Mappings and symmetry operations | The geometric meaning of

**symmorphic**- Crystallographic groups
**trace**- The geometric meaning of
**translation**- The scalar product and | Mappings and symmetry operations | Isometries | The geometric meaning of
**translation part, intrinsic**- The geometric meaning of | The geometric meaning of
**translation vector**- The scalar product and | Isometries
**transposed matrix**- The matrix formalism
**type of space groups**- Crystallographic groups | The `General Position' in
**unit cell**- The volume of the
**unit matrix**- The matrix formalism
**unit vector**- Vectors
**vector**- Vectors
**length of**- Vectors
**translation**- The scalar product and | Isometries
**unit**- Vectors

**vector coefficients**- Vector coefficients
**vector lattice**- The scalar product and
**vector space**- Vectors
**volume of the unit cell**- The volume of the

**Copyright © 2002 International Union of
Crystallography**