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Crystalline and amorphous solids

Short answer

Crystalline solids have long-range periodic atomic order, sharp melting points, and are anisotropic. Amorphous solids have only short-range order, soften over a temperature range, and are isotropic. A space lattice is an infinite 3D array of points with identical surroundings. The unit cell is the smallest repeating parallelepiped that builds the crystal.

Differentiate between crystalline and amorphous solids. Define space lattice and unit cell.

A crystalline solid has atoms arranged in a regular, repeating three-dimensional pattern with long-range order; an amorphous solid has only short-range order.

BasisCrystallineAmorphous
Atomic arrangementLong-range, periodicRandom, short-range only
MeltingSharp melting pointSoftens over a temperature range
PropertiesAnisotropic (single crystal)Isotropic
Cooling curveShows arrest at freezing pointSmooth, no arrest
ExamplesMetals, NaCl, quartzGlass, many polymers, rubber
X-ray diffractionSharp peaksBroad halo

Space lattice

A space lattice is an infinite three-dimensional array of points in which every point has identical surroundings. Each point is a lattice point; atoms are placed at or around these points.

Unit cell

The unit cell is the smallest group of atoms (smallest parallelepiped) that, when repeated in three dimensions, builds the whole crystal. It is described by the edge lengths a,b,ca, b, c and the angles α,β,γ\alpha, \beta, \gamma between them. There are 7 crystal systems and 14 Bravais lattices; most metals crystallise as BCC, FCC or HCP.

✓ Answer checked by Claude Opus 5.5 (high effort)

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