The formation energies of vacancy clusters in Si are listed below. Calculate the formation energy of (i)

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The formation energies of vacancy clusters in Si are listed below. Calculate the formation energy of

(i) system a (30 single vacancies),

(ii) system B (five 6-vacancy clusters), and 

(iii) system C (three 10-vacancy clusters). Which system has the lowest formation energy? Why? 

(Cluster shapes reprinted with permission from Europhys Lett Vol. 43, p. 697, Fig. 1, Bongiorno A, Colombo L, and Diaz de la Rubia T, “Structural and binding properties of vacancy clusters in silicon,” p. 697. Copyright 1998, EPD Sciences.)

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