مسألة مهمة جدا جدا ( مطلوب حل)

gomaa mahmoud

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السلام عليكم ورحمة الله وركاته
يوجد اخ عنده امتحان يوم الاربعاء ( بعد غدا) ممكن احد فيزياء احصائية يساعده فى حل هذا المسألة قبل الامتحان
12.5 Consider a piece of two-dimensional graphite where N carbon atoms form a honeycomb lattice. Assume that it costs energy A to remove a carbon atom from a lattice site and place it In the center of a hexagon to form a vacancy and an interstitial, as shown in the sketch,
(a) Show that there are N/2 possible locations for interstitials.

b) Consider a microcanonical ensemble of the system, at given total energy E,For M interstitials, find the statistical entropy for large N and M.
[c) Define (he temperature by T-1 = 3S/BE, and find E as a function of 7", for
T → 0 and T → oo.
 
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