Atoms, ions, or molecules arranged regularly and periodically.
The atom or group of atoms attached to each lattice point.
Lines drawn parallel to the lines of intersection of any three sides of the faces of the unit cell that do not lie in the same plane.
A definite three-dimensional pattern.
7.
The angle between the b-axis and c-axis.
a ≠ b ≠ c and α = β = 90° ≠ γ.
Seven.
7.
Glasses, ceramics, gels, rubber, polymers, and rapidly quenched melts.
The smallest repeating unit in a crystal lattice that reflects the symmetry and structure of the entire lattice.
Angles formed as a result of the intersection of crystal axes.
Only one grain or one crystallite.
The basic building block that is an infinite repetition of identical structural units in space.
Identity, rotations, reflections, inversions, and improper rotations.
They classify the different possible arrangements of points in space that form a crystal structure.
3.
The angle between the c-axis and a-axis.
Discrete translational symmetry.
The size is determined by 3 primitives.
It means the properties do not depend on direction and show the same magnitude in different directions.
They are the three primitives of the unit cell.
Identical symmetry.
The simple cubic unit cell.
2.
a = b = c and α = β = γ ≠ 90°.
C
Sodium chloride, diamond, sugar.
Individual atoms or a group of atoms (molecules).
Examples include cubic, tetragonal, and hexagonal lattices.
Fourteen.
Na (Sodium) or W (Tungsten)
a = b ≠ c, α = β = 90° and γ = 120°.
They are fundamental building blocks that define the size of the unit cell.
5.
a = b ≠ c and α = β = γ = 90°.
In terms of translation vectors.
Bravais lattices.
F
Molecules, crystal lattices, or unit cells.
As, Sb, Bi, Calcite
Isotropic properties.
They are distinct types of lattice structures in three-dimensional space.
A discrete but infinite regular arrangement of geometric points in a vector space.
The fundamental building block of a crystal structure having the smallest volume and containing only one lattice point.
3.
They must be the shortest of all possible vectors and generate unit cells with a large number of symmetries.
32.
Atoms or molecules are periodically arranged throughout the entire volume of the crystal.
An action that leaves an object looking the same after it has been carried out about an axis, point, or plane.
a = b = c and α = β = γ = 90°.
The smallest portion of a solid where constituent particles are arranged regularly and periodically.
The angle between the a-axis and b-axis.
It represents the number of different but equivalent arrangements or views of the object.
By symmetry operations.
P
There are 14 Bravais lattices.
Using lattice vectors.
BCC (Body-Centered Cubic) and FCC (Face-Centered Cubic) unit cells.
Three primitives and three interfacial angles associated with a unit cell.
P
The extent of orderliness of the arrangement of constituent particles in crystalline solids.
Higher crystallinity means fewer grains in a given crystal size, while lower crystallinity means more grains.
A periodic array of points in space.
It is identical for each lattice point.
Three interfacial angles.
A unit cell is the smallest repeating unit in a crystal lattice that defines the structure.
CaSO4·2H2O
The intercepts made by the unit cell along the crystallographic axes.
It is the fundamental building block of a crystal structure with the smallest volume containing more than one lattice point.
a ≠ b ≠ c and α = β = γ = 90°.
Crystals that contain many grains or crystallites.
5.
TiO2 or SnO2
P
a ≠ b ≠ c and α ≠ β ≠ γ ≠ 90°.
From millimeters to several meters.
