Universal Maximum Strength of Solid Metals and Alloys

Interstitial electron density ρ_{o} is offered as a direct metric for maximum strength in metals, arising from universal properties derived from an electron gas. ρ_{o} sets the exchange-correlation parameter r_{s} in density-functional theory. It holds also for maximum shear strength τ_{max} in polycrystals [M. Chandross and N. Argibay, Phys. Rev. Lett. 124, 125501 (2020)PRLTAO0031-900710.1103/PhysRevLett.124.125501]. Elastic moduli and τ_{max} for polycrystalline (amorphous) metals are linear with ρ_{o} and melting T_{m} (glass-transition T_{g}) temperature. ρ_{o} or r_{s}, even with rule-of-mixture estimate, predicts relative strength for rapid, reliable selection of high-strength alloys with ductility, as confirmed for elements to steels to complex solid solutions, and validated experimentally.