Apfelbaum E M, Vorob'ev V S, Martynov G A
Institute for High Energy Densities of RAS, Izhorskay 13/19, 125412 Moscow, Russia.
J Phys Chem B. 2006 Apr 27;110(16):8474-80. doi: 10.1021/jp057327c.
We demonstrate for the first time that (a) the straight line of the unit compressibility factor (Zeno line) tends asymptotically to the liquid branch of binodal at low temperatures, (b) the straight line with a half density has to be close to the average of vapor-liquid densities along the binodal curve (rectilinear diameter), and (c) the phase coexistence curves are inscribed into the right triangle in the density-temperature plane, which is formed by the Zeno line and by the segments which this line cuts off on the axes. These statements are confirmed for model systems and for a wide group of real substances (for the first time including metals: Hg, Cs, and Cu). Critical parameters of all substances under study are located in the vicinity of the triangle median, drawn to the density axis, with a dispersion on the order of 2 in reduced units.
(a)单位压缩因子直线(齐诺线)在低温下渐近趋向于双节线的液相分支;(b)具有半密度的直线必须接近沿双节线曲线的气液密度平均值(直线直径);(c)相共存曲线内切于密度-温度平面中的直角三角形,该三角形由齐诺线以及这条线在坐标轴上截得的线段构成。这些结论在模型系统以及一大类真实物质中得到了证实(首次包括金属:汞、铯和铜)。所有研究物质的临界参数位于画向密度轴的三角形中线附近,折合单位下的分散度约为2。