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对于Lennard-Jone势,目前只求出了第四、第五维里系数在特定温度下的数值解,而且求解过程极其繁复,不便于实际应用。本文发现,当温度趋于无穷大时,各级维里系数之比趋于α·T~(0.25～0.50),据此提出了一组关联第四、第五维里系数的经验式,它在形式上和第二、第三维里系数的解析式十分相似,能很好地拟合已知的数值解。和其它经验式相比,该方法的优点是简单、准确、所有的维里系数计算具有统一的形式。
For the Lennard-Jone potential, only the numerical solutions of the fourth and fifth virial coefficients at a specific temperature are currently obtained, and the solving process is extremely complex and inconvenient for practical applications. It is found that when the temperature approaches infinity, the ratio of the virial coefficients at all levels tends to α · T ~ (0.25 ~ 0.50). Based on this, a set of empirical formulas relating the fourth and fifth virial coefficients is proposed It is very similar to the analytic formulas of the second and third virial coefficients, which well fit the known numerical solution. Compared with other empirical formulas, this method has the advantage of being simple and accurate, and all the calculation of the Veri coefficients has a uniform form.