Solution

ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2016/paper-1/1/c/solution

At fixed temperature, a phase's Gibbs free energy satisfies . For the metallic-minus-molecular difference,
Increasing pressure favors the smaller-volume metallic phase. With a pressure-independent volume approximation, , so pressure can overcome an initially positive free-energy difference. The volume comparison explains the direction of stabilization; it does not by itself determine the transition pressure or the electronic origin of metallic bonding.

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