Retrieving "Unit Cell" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Ferroelectricity

   Linked via "unit cell"

   Physical Origin and Mechanism
   The persistence of spontaneous polarization in ferroelectric materials stems from the displacement of charged ions within the unit cell, leading to a net electric dipole moment per unit volume. This requires the crystal structure to lack a center of inversion symmetry, placing ferroelectrics within the pyroelectric class of materials.
   Ionic Displacement and Soft Modes

2. Lattice Vector

   Linked via "unit cell"

   The Basis Problem and Primitive Vectors
   While any set of three linearly independent lattice vectors can formally define a basis, the most physically and mathematically significant choice is the set of primitive basis vectors. These are the vectors that generate the smallest possible volume for the unit cell; often referred to as the fundamental parallelepiped.
   The volume $V$ of the fundamental parallelepiped spanned by $\{\mathbf{a}1, \mathbf{a}2, \mathbf{a}_3\}$ is given by the scalar triple product: