Lattice: Difference between revisions
CSV import |
CSV import |
||
| Line 32: | Line 32: | ||
{{stub}} | {{stub}} | ||
{{dictionary-stub1}} | {{dictionary-stub1}} | ||
{{No image}} | |||
Revision as of 20:07, 10 February 2025
Lattice is a term used in various fields of study such as mathematics, physics, and chemistry. It refers to a regular, repeating arrangement of points in space, often visualized as a grid. In mathematics, a lattice is a set of points in a grid-like structure. In physics and chemistry, a lattice is a three-dimensional array of atoms or molecules in a crystalline solid.
Mathematics
In mathematics, a lattice is a set of points in space that form a grid-like structure. This structure is defined by a set of vectors, known as the basis of the lattice, which are used to generate the points in the lattice. The points in a lattice can be represented as integer combinations of the basis vectors.
Lattice theory
Lattice theory is a branch of abstract algebra that studies lattices. In this context, a lattice is a partially ordered set in which every two elements have a unique supremum and infimum.
Physics
In physics, a lattice refers to the arrangement of atoms or molecules in a crystalline solid. This arrangement is often periodic, meaning it repeats in a regular pattern.
Crystal lattice
A crystal lattice is a three-dimensional array of atoms or molecules in a crystalline solid. The structure of a crystal lattice is determined by the arrangement of its atoms or molecules and the nature of the chemical bonds between them.
Chemistry
In chemistry, a lattice is a three-dimensional array of atoms or molecules in a crystalline solid. The structure of a lattice in chemistry is determined by the arrangement of its atoms or molecules and the nature of the chemical bonds between them.
Lattice energy
Lattice energy is a measure of the energy required to separate one mole of a solid ionic compound into its gaseous ions.
