what is unit cell

what is unit cell

3 hours ago 5
Nature

A unit cell is the smallest repeating unit in a crystal lattice that, when stacked in three-dimensional space without gaps, reproduces the entire crystal structure. It serves as the fundamental building block of the crystal

. Key points about a unit cell:

  • It is defined by lattice points, which are points in space representing the periodic arrangement of atoms, ions, or molecules in the crystal
  • The shape of a unit cell is typically a parallelogram in two dimensions or a parallelepiped in three dimensions, with lattice points at the vertices
  • There are two main types of unit cells:
    • Primitive unit cell : Contains exactly one lattice point (considering fractional contributions from atoms at corners, edges, or faces). It is the smallest possible unit cell
* **Non-primitive (conventional) unit cell** : May contain more than one lattice point, including additional lattice points on faces, edges, or inside the cell, chosen to reflect the full symmetry of the crystal
  • Examples of non-primitive unit cells include:
    • Body-centered cubic (BCC) unit cell: has lattice points at the eight corners plus one in the center, totaling two lattice points per cell
* Face-centered cubic (FCC) unit cell: has lattice points at the corners and at the centers of each face, totaling four lattice points per cell

In summary, the unit cell is a fundamental concept in crystallography that captures the repeating pattern of a crystal's structure in the smallest possible volume, allowing the entire crystal to be described by its repetition

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