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arXiv 0801.2865cond-mat.mtrl-sci
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氢化镁结构性质和生成焓的量子Monte Carlo计算

Structural properties and enthalpy of formation of magnesium hydride from quantum Monte Carlo calculations

M. Pozzo, D. Alfè

摘要:

采用扩散蒙特卡罗(DMC)方法研究了氢化镁(MgH $_2$)的结构性质,包括压力-体积状态方程、结合能和氢的生成焓。计算采用赝势和B-样条基组来扩展用于构建试验波函数的单粒子轨道。系统大小,时间步长,和其他来源的错误,进行周期性重复系统高达1050个原子,广泛的测试表明,所有这些错误一起可以减少到低于10毫电子伏每公式单位。我们发现与实验的Mg和MgH $_2$晶体的平衡体积非常一致。测得Mg晶体的结合能为1.51(1)eV,与实验值1.51 eV完全一致。由Mg本体和H-$_2$气体生成MgH-$_2$的焓为$0.85 \pm 0.01$ eV/分子式单位,或$82 \pm 1$ kJ/mole,与实验值$76.1 \pm 1$ kJ/mole仅相差6 kJ/mole。这表明DMC在该系统上几乎可以达到化学精度(1千卡/摩尔)。密度泛函理论的错误被证明是大得多,并强烈依赖于所采用的功能。

英文摘要:

We have used diffusion Monte Carlo (DMC) calculations to study the structural properties of magnesium hydride (MgH$_2$), including the pressure-volume equation of state, the cohesive energy and the enthalpy of formation from magnesium bulk and hydrogen gas. The calculations employ pseudopotentials and B-spline basis sets to expand the single particle orbitals used to construct the trial wavefunctions. Extensive tests on system size, time step, and other sources of errors, performed on periodically repeated systems of up to 1050 atoms, show that all these errors together can be reduced to below 10 meV per formula unit. We find excellent agreement with the experiments for the equilibrium volume of both the Mg and the MgH$_2$ crystals. The cohesive energy of the Mg crystal is found to be 1.51(1) eV, and agrees perfectly with the experimental value of 1.51 eV. The enthalpy of formation of MgH$_2$ from Mg bulk and H$_2$ gas is found to be $0.85 \pm 0.01$ eV/formula unit, or $82 \pm 1$ kJ/mole, which is off the experimental one of $76.1 \pm 1$ kJ/mole only by 6 kJ/mole. This shows that DMC can almost achieve chemical accuracy (1 kcal/mole) on this system. Density functional theory errors are shown to be much larger, and depend strongly on the functional employed.

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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