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The conditions which determine whether a material behaves in a brittle orductile fashion on mechanical loading are still elusive and comprise a topic ofactive research among materials physicists and engineers. In this study, wepresent results of {\em in silico} mechanical deformation experiments from twovery different model solids in two and three dimensions. The first consists ofparticles interacting with isotropic potentials and the other has stronglydirection dependent interactions. We show that in both cases, the excessvibrational density of states is the fundamental quantity which characterisesthe ductility of the material. Our results can be checked using carefulexperiments on colloidal solids.

Excess Vibrational Density of States and the Brittle to Ductile Transition in Crystalline and Amorphous Solids