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Condensed Matter & Materials Physics

Hardness

A material's resistance to localized plastic surface deformation induced by mechanical scratching, abrasion, or indentation.

Governing formula H = Load / Indentation Surface Area (Mohs, Vickers, Rockwell)
SI unit MPa or GPa (Mohs scale 1 to 10)

In depth

Hardness correlates with yield strength and interatomic bond strength. Measured using standardized indentation tests (Vickers, Rockwell, Brinell) or Mohs relative scratch scale (1 for talc to 10 for diamond).

Examples in the real world

Tungsten carbide and industrial diamond cutting tools machining hard steel alloys.