On the mutual potential energy of a plane network of doublets
On the mutual potential energy of a plane network of doublets
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DOI：
10.1098/rspa.1927.0025
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发表时间：
1927-02
期刊：
影响因子：
--
通讯作者：
J. Topping
中科院分区：
文献类型：
--
作者：
J. Topping
1. 本说明的目的是确定位于平面上且轴垂直于该平面的小电或磁双峰分布的互势能；计算双峰无限色散状态的势能。双峰应该有一个确定的电矩或磁矩，对所有的都相同，其值由它们的构成决定，而不取决于它们的相互作用。这个问题与流体表面上一层极化分子的能量有关，对于单位面积给定时刻给定数量的分子，能量值的问题是 E.K. Rideal 博士向 S. Chapman 教授提出的，在他的建议下，作者进行了这项研究。在实际表面层中，分子的堆积模式并不总是已知的，因此考虑两种特殊情况，以确定堆积模式如何影响能量，给出每单位面积的双峰数。假设双峰形成简单的方形网络或等三角形网络；两种情况下的相互势能似乎仅相差 2% 左右。因此，可以给出（§ 4）一个相当明确的能量估计，这对于任何可能的分子堆积模式都可能近似正确。
1. The object of this note is the determination of the mutual potential energy of a distribution of small electric or magnetic doublets lying in a plane with their axes perpendicular to the plane; reckoning the potential energy from a state of infinite dispersion of the doublets. The doublets are supposed to have a definite electric or magnetic moment, the same for all, whose value is determined by their constitution and does not depend on their mutual action. The problem bears on the energy of a layer of polarised molecules on the surface of a fluid, and the question as to the value of the energy, for a given number of molecules of given moment per unit area, was put by Dr. E. K. Rideal to Prof. S. Chapman, at whose suggestion the writer undertook this investigation. In actual surface layers the mode of packing of the molecules is not always known, and therefore two special cases are considered, in order to determine how the mode of packing influences the energy, the number of doublets per unit area being given. It is supposed that the doublets form either a simple square network, or an equi-triangular network; and it appears that the mutual potential energy differs only by about 2 per cent, in the two cases. It is thereforepossible to give (§ 4) a fairly definite estimate of the energy, which is likelyto be approximately true for any probable mode of packing of the molecules.