Repulsive forces between charged surfaces in water, and the cause of the Jones-Ray effect

Repulsive forces between charged surfaces in water, and the cause of the Jones-Ray effect
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DOI:
10.1126/science.88.2288.430
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发表时间:
1938-07-01
期刊:
影响因子:
56.9
通讯作者:
Langmuir, I
Langmuir, I
中科院分区:
综合性期刊1区
文献类型:
--
作者:
Langmuir, I

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在德拜-希耶克尔理论中,假设T很小,以至于S“7可以用1+Rn代替。然而,我们希望将公式(5)应用于两个平行板,这两个平行板之间的距离b相隔很近,并且带着如此高的正电荷,使得板之间的任何地方都有n>和1。因此不能使用德拜-希克尔近似,而是我们可以忽略8“7英寸公式(5),因为它与icq相比很小。积分得到0=2exp(-Tim/2)tan-:[eexp(i-Tim)-1](6)其中Tm是出现在板中间平面上的Tn的最小值,而0测量到这个中面的距离。如果Tn1和01是板表面上的n和0的值
In the Debye-Hiuekel theory it is assumed that T is so small that s" 7 can be replaced by 1+ rn. We wish, however, to apply Eq.(5) to two parallel plates which are separated by the distance b but are so close together and are so highly positively charged that n>> 1, everywhere between the plates. The Debye-Hiiekel approximation therefore can not be used, but instead, we can neglect 8" 7in Eq.(5), since it is small compared to icq.Integration gives 0= 2 exp (-TiM/2) tan-:[eexp (i-TiM)-1](6) where Tnm is the minimum value of Tn which occurs at the plane half way between the plates and 0 measures the distance from this median plane. If Tn1 and 01 are the values of n and 0 at the surface of the plates and