What is the Difference Between Lattice and Unit Cell?

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The main difference between a lattice and a unit cell lies in their definition and structure:

  • Lattice: A lattice is a regular three-dimensional arrangement of identical points in space that represents how the atoms, ions, and molecules of a crystal are structured. It is a regular structure made up of many small units known as unit cells.
  • Unit Cell: A unit cell is the smallest component of a crystal lattice, which when repeated in different orientations creates the entire crystal lattice. It is the simplest repeating unit in a crystal structure. The entire lattice is generated by the repetition of the unit cell in different directions.

There are six parameters of a unit cell: the three edges (a, b, c) and the angles between the edges (α, β, γ). The edges of a unit cell may or may not be perpendicular to each other. Unit cells can be classified into different types, such as primitive unit cells, face-centered unit cells, and end-centered unit cells.

In summary, a lattice is a regular three-dimensional arrangement of atoms, ions, or molecules in a crystal, while a unit cell is the smallest part of the lattice that repeats to form the entire structure.

Comparative Table: Lattice vs Unit Cell

The main difference between a lattice and a unit cell is that a lattice is a regular repeated three-dimensional arrangement of atoms, ions, or molecules in a crystalline solid, whereas a unit cell is the smallest representative unit of a lattice, comprising all the components that resemble the repeating pattern of a lattice. Here is a table comparing the two:

Lattice Unit Cell
Regular repeated three-dimensional arrangement of atoms, ions, or molecules in a crystalline solid Smallest representative unit of a lattice, comprising all the components that resemble the repeating pattern of a lattice
Made up of large numbers of unit cells Fundamental unit of crystal lattice having all the properties of the crystal
Can be isolated or prepared for analysis Cannot be isolated for analysis, as it is a hypothetical entity
Macroscopic system Microscopic system
Generated by the repetition of the unit cell in different directions Entire lattice is generated by the repetition of the unit cell in different directions

A unit cell can be defined as the smallest three-dimensional repetitive part of the space lattice, which when repeated in different directions generates the entire lattice. There are different types of unit cells, such as primitive unit cells, face-centered unit cells, and end-centered unit cells. The edges of a unit cell may or may not be perpendicular to each other, and the dimensions of the unit cell are given by six parameters: the three edges (a, b, c) and the angles between the edges (α, β, γ).