Bravais lattice

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Thân thiện
Definition
  1. Noun:
    • A 3-dimensional geometric arrangement of the atoms or molecules or ions composing a crystal: A Bravais lattice is a fundamental concept in crystallography. It is an infinite, periodic array of discrete points in three-dimensional space, where the arrangement of points appears exactly the same from whichever point the array is viewed. It describes the underlying translational symmetry of a crystal structure.
Usage Examples
  • Noun:
    • The crystal's symmetry was analyzed by identifying its Bravais lattice.
    • There are exactly 14 possible Bravais lattices in three-dimensional space.
    • The concept of a Bravais lattice simplifies the mathematical description of crystalline materials.
Advanced Usage
  • "to belong to a Bravais lattice type": to be classified as one of the 14 specific lattice symmetries.
    • This mineral's atomic structure belongs to the face-centered cubic Bravais lattice type.
  • "Bravais lattice vectors": the set of primitive translation vectors that define the lattice's periodicity.
    • The unit cell is defined by three fundamental Bravais lattice vectors.
Variants and Related Words
  • Lattice (n): A regular, periodic arrangement of points or objects over an area or in space. A Bravais lattice is a specific type of lattice with translational symmetry.
  • Crystal Lattice (n): Often used synonymously with Bravais lattice, though it can sometimes refer more broadly to the spatial arrangement of particles in a crystal.
  • Space Lattice (n): Another common synonym for a Bravais lattice.
Synonyms
  • Space lattice: An infinite array of points in space where each point has an identical environment.
  • Translation lattice: Emphasizes the property of translational symmetry.
Related Phrases
  • Primitive lattice: A Bravais lattice where the chosen unit cell contains exactly one lattice point.
  • Unit cell: The smallest repeating unit of a Bravais lattice which, when repeated in three dimensions, generates the entire lattice.
Noun
  1. a 3-dimensional geometric arrangement of the atoms or molecules or ions composing a crystal

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