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使用新的非加和三体势对氩进行从头算维里状态方程。

Ab initio virial equation of state for argon using a new nonadditive three-body potential.

机构信息

Institut für Chemie, Universität Rostock, D-18059 Rostock, Germany.

出版信息

J Chem Phys. 2011 Aug 28;135(8):084308. doi: 10.1063/1.3627151.

Abstract

An ab initio nonadditive three-body potential for argon has been developed using quantum-chemical calculations at the CCSD(T) and CCSDT levels of theory. Applying this potential together with a recent ab initio pair potential from the literature, the third and fourth to seventh pressure virial coefficients of argon were computed by standard numerical integration and the Mayer-sampling Monte Carlo method, respectively, for a wide temperature range. All calculated virial coefficients were fitted separately as polynomials in temperature. The results for the third virial coefficient agree with values evaluated directly from experimental data and with those computed for other nonadditive three-body potentials. We also redetermined the second and third virial coefficients from the best experimental pρT data utilizing the computed higher virial coefficients as constraints. Thus, a significantly closer agreement of the calculated third virial coefficients with the experimental data was achieved. For different orders of the virial expansion, pρT data have been calculated and compared with results from high quality measurements in the gaseous and supercritical region. The theoretically predicted pressures are within the very small experimental errors of ±0.02% for p ≤ 12 MPa in the supercritical region near room temperature, whereas for subcritical temperatures the deviations increase up to +0.3%. The computed pressure at the critical density and temperature is about 1.3% below the experimental value. At pressures between 200 MPa and 1000 MPa and at 373 K, the calculated values deviate by 1% to 9% from the experimental results.

摘要

我们使用 CCSD(T) 和 CCSDT 理论的量子化学计算,开发了一个氩的从头算非加和三体势。应用该势与文献中的最近的从头算双体势,我们分别通过标准数值积分和 Mayer-sampling 蒙特卡罗方法,在很宽的温度范围内计算了氩的第三和第四至第七压维里系数。所有计算的维里系数都分别拟合为温度的多项式。第三维里系数的结果与直接从实验数据评估的值以及其他非加和三体势计算的值相符。我们还利用计算得到的较高维里系数作为约束,从最佳实验 pρT 数据重新确定了第二和第三维里系数。因此,计算得到的第三维里系数与实验数据的一致性显著提高。对于不同阶的维里展开,我们计算了 pρT 数据,并与气态和超临界区的高质量测量结果进行了比较。在室温附近的超临界区,对于 p≤12 MPa 的压力,理论预测的压力在非常小的实验误差±0.02%内,而对于亚临界温度,偏差增加到+0.3%。在临界密度和温度下计算得到的压力比实验值低约 1.3%。在 200 MPa 到 1000 MPa 之间的压力和 373 K 下,计算值与实验结果的偏差在 1%到 9%之间。

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