In the previous work it has been found that the TiS
2 phase existing in the range of TiS
2 to TiS
1.82 has a lattice structure of the CdI
2 type with some amounts of vacancies in the (00,0) site and of Ti atoms in the (00,1⁄2) interstitial site, their concentration depending upon the atom ratio S/Ti. In this paper the dependence of the equilibrium pressure of S
2 gas atmosphere surrounding the crystal upon the above-mentioned lattice defects and the excess concentration of Ti is discussed from the viewpoint of statistical thermodynamics.
(1) It is assumed that these lattice defects are not generated by the thermal motion of atoms but come from the following dissociation process on the crystal surface
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by which S atoms remove to the atmosphere and Ti atoms diffuse into vacant sites and interstitial positions.
(2) Under the above assumption a partition function of the crystal phase is calculated as a function of the concentration of excess Ti
y, a factor
q giving fraction of excess Ti atoms occupying the vacant sites and the interstitial positions, and the number of conduction electrons
n.
(3) From comparison of the observed relation between
q and
y with theoretical one deduced from the above partition function, the energy (
Eβ−
Eα) required to replace a Ti atom from the (00,0) site leaving behind a vacancy to the interstitial site is evaluated, and a possible cause of vacancy and interstitial Ti atom is discussed from the value of (
Eβ−
Eα).
(4) The equilibrium S
2 pressure is calculated as a function of
q and
y, which is in good agreement with the pressure-composition curves for the TiS
2 phase observed by Abendroth.
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