Bjerrum对引起的屏蔽长度膨胀
Inflation of the screening length induced by Bjerrum pairs
摘要：
在一个修改后的泊松-玻尔兹曼理论，我们研究了典型的长度尺度$1/\barκ$上的Bjerrum对的效果，其中电场被屏蔽在电解质溶液中，考虑到一个简单的自由离子和Bjerrum对之间的缔合-解离平衡。在低密度的Bjerrum对，这个长度尺度是很好的近似德拜长度$1/κ\propto 1/\sqrt{ρ_\mathrm{s}}$，与$ρ_\mathrm{s}$的自由离子密度。然而，在高密度的Bjerrum对，我们发现$1/\barκ\propto \sqrt{ρ_\mathrm{s}}$，这是显着大于$1/κ$由于增强的有效介电常数的电解质，引起的极化的Bjerrum对。我们认为，这种机制可以解释最近观察到的巨大的无胶体区之间的油分散的胶体晶体和胶体单层在油-水界面。
英文摘要：
Within a modified Poisson-Boltzmann theory we study the effect of Bjerrum pairs on the typical length scale $1/\barκ$ over which electric fields are screened in electrolyte solutions, taking into account a simple association-dissociation equilibrium between free ions and Bjerrum pairs. At low densities of Bjerrum pairs, this length scale is well approximated by the Debye length $1/κ\propto 1/\sqrt{ρ_\mathrm{s}}$, with $ρ_\mathrm{s}$ the free ion density. At high densities of Bjerrum pairs, however, we find $1/\barκ\propto \sqrt{ρ_\mathrm{s}}$ which is significantly larger than $1/κ$ due to the enhanced effective permittivity of the electrolyte, caused by the polarization of Bjerrum pairs. We argue that this mechanism may explain the recently observed anomalously large colloid-free zones between an oil-dispersed colloidal crystal and a colloidal monolayer at the oil-water interface.
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