Journal
PHYSICAL REVIEW B
Volume 84, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.84.064109
Keywords
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Funding
- US Department of Energy, Office of Science, Office of Basic Energy Sciences
- National Science Foundation, Materials Research Center of Northwestern University [DMR-0520513]
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Two cations A and B in A(2)BO(4) spinels appear in precise 2:1 Daltonian ratio (line compounds) only at very low temperature. More typically, at finite temperature, they tend to become either A rich or B rich. Here we survey the experimentally observed stoichiometry asymmetries and describe the first-principles framework for calculating these. Defect calculations based on first principles are used to calculate the enthalpies of substitution of A atom Delta H(A(Td)) and B atom Delta H(B-Oh) and determine their site occupancies leading to (non)-stoichiometry. In Co2ZnO4, the result of the calculation for site occupancy compares well with that measured via anomalous x-ray diffraction. Further, the calculated phase boundary also compares well with that measured via Rietveld refinement of x-ray diffraction data on bulk ceramic sintered samples of Co2ZnO4 and Rh2ZnO4. These results show that Co2ZnO4 is heavily Co nonstoichiometric above 500 degrees C, whereas Rh2ZnO4 is slightly Zn nonstoichiometric. We found that, in general, the calculated Delta H(A(Td)) is smaller than Delta H(B-Oh), if the A-rich competing phase is isostructural with the A(2)BO(4) host, for example, A(2)AO(4), whereas B-rich competing phase is not, for example, BO. This observation is used to qualitatively explain nonstoichiometry and solid solutions observed in other spinels.
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