# 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.
| Link to the Solution

With frame

2.2.1 Extrinsic Point Defects and Agglomerates

Solution to Exercise 2.1-5

Solution to Exercise 2.2-1

© H. Föll (Defects - Script)