Research Article

Estimating Free Energies of Formation of Titanate ( M 𝟐 T i 𝟐 O 𝟕 ) and Zirconate ( M 𝟐 Z r 𝟐 O 𝟕 ) Pyrochlore Phases of Trivalent Lanthanides and Actinides

Figure 7

A plot of the free energy of reaction for the formation of titanate pyrochlore from constituent oxides ( Δ 𝐺 𝑟 , O X ) by (8) in kJ/mol shown as a function of the radius ratio of the A site (RE and actinide) cation and the B site (Ti) cation (closed circles) with a nonlinear regression fit (solid line, 𝑅 2 = 0 . 8 0 ). The experimentally measured formation enthalpies of titanate pyrochlores from constituent oxides ( Δ 𝐻 𝑓 , O X ) of twelve rare earth cations (from [21]) are also shown as a function of the radius ratio (open squares) with a linear regression fit (dashed line, 𝑅 2 = 0 . 7 1 ) for comparison.
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