Exercise 2.2-1

Properties of Johnson Complexes

Discuss the equation for the concentration of vacancy - impurity atom complexes (Johnson complexes).
Consider an impurity atom concentration of 1 % and 1 ppm, a vacancy formation enthalpy of 1 eV (neglect the formation entropy) and several binding energies (including extremes).
Discuss the concentration of Johnson complexes as a function of temperature and in relation to the concentration of the impurity atoms and the equilibrium concentration of vacancies.
Use approximations, order-of- magnitude considerations and reasonable numbers whenever possible.

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