rhombohedral

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rhombohedral

A crystal exhibits a rhombohedral shape under the microscope.

Definition

Adjective: - Having threefold symmetry; specifically in crystallography, describing a crystal system or lattice structure where the three axes are of equal length and intersect at equal angles that are not right angles (90°). This is a subdivision of the hexagonal crystal system.

Usage
  • Used primarily in scientific contexts, especially in crystallography, mineralogy, and solid-state physics, to describe the shape and internal structure of crystals.
  • It describes a specific geometric arrangement where the unit cell is shaped like a rhombohedron (a six-sided prism with each face being a parallelogram).
Examples
  • Scientific Description:

    • Calcite is a common mineral with a rhombohedral crystal structure.
    • The rhombohedral phase of the material was confirmed using X-ray diffraction.
  • Mathematical/Geometric Description:

    • A rhombohedral lattice can be seen as a distorted cube.
    • The atoms are arranged in a rhombohedral unit cell.
Advanced Usage
  • "Rhombohedral system": A crystal system characterized by a rhombohedral unit cell. It is often considered a special case of the hexagonal system.

    • Quartz can crystallize in the trigonal system, which is often grouped with the rhombohedral system.
  • "Rhombohedral cleavage": A type of breakage in minerals where the fragments have rhombohedral shapes.

    • The rhombohedral cleavage of calcite is very distinctive.
Variants and Related Words
  • Rhombohedron (noun): A three-dimensional geometric figure with six faces, each of which is a rhombus.

    • The crystal was a perfect rhombohedron.
  • Trigonal (adjective): Often used synonymously or in a closely related context in crystallography to describe crystals with threefold symmetry about a major axis. The rhombohedral lattice is a type of trigonal lattice.

    • The trigonal crystal class includes both rhombohedral and hexagonal shapes.
Synonyms
  • Trigonal (in specific crystallographic contexts, though nuances exist).
  • Equiangular (in a very general geometric sense, but not a direct synonym as it lacks the specific threefold symmetry implication).
rhombohedral

A crystal exhibits a rhombohedral shape under the microscope.

Adjective
  1. having threefold symmetry

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