Condensed matter physics MOC

Crystallographic group

A crystallographic group or space group 𝑆 in dimension 𝑛 is a discrete subgroup 𝑆 of the Euclidean group E(𝑛) containing a normal ℝ𝑛-lattice subgroup 𝐿 ⊴𝑆 ≤E(𝑛) such that quotient group 𝑆/𝐿, called the Point group, is a subgroup of the real orthogonal group O(𝑛). group This gives the following pair of short exact sequences

Such a group is the symmetry group of a Crystal. According to the Crystallographic restriction theorem, point groups must have rotational symmetries that are 1-,2-,3-,4-, or 6-fold.

---

develop | en | SemBr