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arXiv 1107.4261cond-mat.mtrl-sci
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稀土正磷酸盐生成热的密度泛函计算

Density functional calculation of the heats of formation of rare-earth orthophosphates

James R. Rustad

摘要:

通过电子结构计算,估算了稀土正磷酸盐的氧化物生成热。计算的生成热系统地比测量值少放热约40 kJ/mol。基于对零点能量和H(298.15)-H(0)的估计修正,这种差异几乎完全是电子起源的。放热ΔHfox随离子半径的减小而减小(即LaPO 4比ScPO 4放热更大),这是由于氧化物阴离子(O2-)上的电荷定位高于磷酸根阴离子(PO 43-)。当然,对于氧化物和磷酸盐相,晶格能随着离子半径的减小而变得更负,但是对于氧化物,晶格能变得更快,使得反应随着离子半径变小而放热更少。这种效应应该延续到其他含氧酸的Δ H,如硅酸盐和硫酸盐。

英文摘要:

Electronic structure calculations are carried out to estimate the heats of formation of rare-earth orthophosphates from their oxides. The calculated heats of formation are systematically about 40 kJ/mol less exothermic than the measured values. Based on estimated corrections for zero-point energies and H(298.15)-H(0), the discrepancy is almost entirely electronic in origin. The decreasingly exothermic ΔHfox with decreasing ionic radius (i.e. LaPO4 more exothermic than ScPO4) results from the higher charge localization on the oxide anion (O2-) relative to the phosphate anion (PO43-). The lattice energy, of course, becomes more negative with decreasing ionic radius for both oxide and phosphate phases, but does so more rapidly for the oxide, making the reaction less exothermic as ionic radius becomes smaller. This effect should carry over to ΔHfox other oxyacids, such as silicates and sulfates.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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