2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24011We investigate theoretically the crucial rôle of interstitialcies that trigger the melting of a boundary-free crystal. Based on an interstitialcy model that resembles the $J_1$-$J_2$ model of frustrated antiferromagnets with uniaxial anisotropy, we have calculated the exact partition function and correlation functions in a one-dimensional atom chain. The melting point and correlation behavior of this crystal model show the applicability of Lindemann criterion and Born criterion in the one-dimensional case.15 pages, 4 figures, 12 diagramsStatistical Mechanicstext