DOE OSTI2013
The thermodynamic mixing properties for isometric Th{sub x}Ce{sub 1-x}O{sub 2}, Ce{sub x}Zr{sub 1-x}O{sub 2}, and Th{sub x}Zr{sub 1-x}O{sub 2} were determined using quantum-mechanical calculations and subsequent Monte-Carlo simulations. Although the Th{sub x}Ce{sub 1-x}O{sub 2} binary indicates exsolution below 600 K, the energy gain due to exsolution is small (E{sub exsoln}=1.5 kJ/(mol cations) at 200 K). The energy gain for exsolution is significant for the binaries containing Zr; at 1000 K, E{sub exsoln}=6 kJ/(mol cations) for the Ce{sub x}Zr{sub 1-x}O{sub 2} binary, and E{sub exsoln}=17 kJ/(mol cations) for the Th{sub x}Zr{sub 1-x}O{sub 2} binary. The binaries containing Zr have limited miscibility and cation ordering (at 200 K for x=0.5). At 1673 K, only 4.0 and 0.25 mol% ZrO{sub 2} can be incorporated into CeO{sub 2} and ThO{sub 2}, respectively. Solid-solution calculations for the tetragonal Th{sub x}Zr{sub 1-x}O{sub 2} binary show decreased mixing enthalpy due to the increased end-member stability of tetragonal ZrO{sub 2}. Inclusion of the monoclinic ZrO{sub 2} is predicted to further reduce the mixing enthalpy for binaries containing Zr. - Graphical abstract: Temperature-composition phase diagram showing miscibility gaps for the isometric Th{sub x}Ce{sub 1-x}O{sub 2}, isometric Ce{sub x}Zr{sub 1-x}O{sub 2}, isometric Th{sub x}Zr{sub 1-x}O{sub 2}, and tetragonal Th{sub x}Zr{sub 1-x}O{sub 2} binaries at low composition (0<x<0.025), where the solid solidus is an average of the linear and Margules approximations for the incorporation limit (x{sub inc}), and the dotted solidus lines are the Margules approximation (above the average) and the linear approximation (below the average). Highlights: Black-Right-Pointing-Pointer {Delta}H{sub mix}, {Delta}G{sub mix}, and {Delta}S{sub mix} of Th{sub x}Ce{sub 1-x}O{sub 2}, Th{sub x}Zr{sub 1-x}O{sub 2}, and Ce{sub x}Zr{sub 1-x}O{sub 2} binaries are calculated. Black-Right-Pointing-Pointer Cation ordering is identified at low T for binaries containing ZrO{sub 2}. Black-Right-Pointing-Pointer Phase diagrams are estimated based on DFT and Monte-Carlo calculations. Black-Right-Pointing-Pointer DFT and Monte-Carlo calculations are in agreement with experimental (and previous computational) results, where available. Black-Right-Pointing-Pointer Increased thermodynamic stability of monoclinic and tetragonal ZrO{sub 2} end-member affects solid solution binaries.
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗