unit cell

Học thuật
Thân thiện
unit cell

A simple cubic unit cell is drawn on the whiteboard in the classroom.

Definition

Noun: * The smallest repeating structural unit of a crystal lattice: A "unit cell" is the most basic, three-dimensional building block of a crystal. The entire crystal structure is formed by repeating this identical unit cell in all spatial directions.

Usage
  • The "unit cell" is a fundamental concept in crystallography and materials science. It is defined by its geometry (e.g., cubic, hexagonal) and the positions of atoms, ions, or molecules within it.
  • The properties of the entire crystal can often be understood by analyzing the structure of its "unit cell".
Examples
  • Noun:
    • The crystal's symmetry is determined by the shape of its unit cell.
    • By knowing the dimensions of the unit cell, scientists can calculate the density of the material.
    • The arrangement of atoms within the unit cell defines whether a material is a simple cubic or face-centered cubic crystal.
Advanced Usage
  • "Primitive unit cell": A unit cell that contains only one lattice point. It is the simplest possible repeating unit.
    • A primitive unit cell contains the minimum volume necessary to generate the entire lattice.
  • "Conventional unit cell": A unit cell chosen for convenience to more clearly display the symmetry of the crystal lattice, even if it contains more than one lattice point.
    • The face-centered cubic structure is usually described using a cubic conventional unit cell.
Variants and Related Words
  • Crystal lattice (n): The symmetrical three-dimensional arrangement of atoms, ions, or molecules inside a crystalline solid, composed of many repeating unit cells.
  • Lattice parameter (n): The lengths of the edges of the unit cell and the angles between them.
Synonyms
  • Building block (in the context of crystal structures).
  • Repeating unit.
Related Terms and Concepts
  • Bravais lattice: One of the 14 possible three-dimensional lattice types that a unit cell can form through repetition.
  • Atomic basis: The group of atoms associated with each lattice point within the unit cell.
unit cell

A simple cubic unit cell is drawn on the whiteboard in the classroom.

Noun
  1. the smallest group of atoms or molecules whose repetition at regular intervals in three dimensions produces the lattices of a crystal