7.2
离子缔合是指电解质溶液中带相反电荷的离子相互结合形成离子对的现象。Bjerrum 将离子对定义为:两个带相反电荷的离子之间的静电吸引力超过体系热能(通常表示为 2kT)时所形成的缔合体。静电吸引力的大小取决于离子电荷、离子间距以及介质的介电常数。热能 kT 反映了由于分子热运动导致离子趋向于独立运动…
通常认为强电解质在水溶液中完全以自由离子的形式存在。实际上,带相反电荷的离子可能会部分结合形成离子对,但许多1:1电解质(如NaCl或NaOH)除外。
比耶鲁姆将离子对定义为两个带相反电荷的离子,其距离足够近,以至于它们的静电吸引力超过热能,该能量量化为 2kT,其中 k 为玻尔兹曼常数,T 为绝对温度。当满足此条件时,离子缔合变得有利。
离子配对随着离子电荷的升高而增加,如在2:1或2:2电解质中,即使在低浓度下也会形成大量离子对。这一预测已得到实验支持。当离子对中阳离子所占百分比随质量摩尔浓度作图时,结果与比耶鲁姆理论高度吻合。
溶剂的影响也十分显著:水的高介电常数会削弱静电吸引力并限制离子配对,而介电常数较低的溶剂则增强离子间的相互作用,使得即使对于1:1电解质,离子对的形成也变得显著。
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Q1: What is an ion pair according to Bjerrum's definition?
An ion pair consists of two oppositely charged ions positioned close enough that their electrostatic attraction exceeds the thermal energy, quantified as 2kT, where k is Boltzmann's constant and T is absolute temperature. When this condition is met, the ions remain associated rather than freely dissolved in solution.
Q2: How does ionic charge affect ion pair formation?
Ion pairing increases significantly with higher ionic charges, such as in 2:1 or 2:2 electrolytes, leading to substantial ion-pair fractions even at low concentrations. In contrast, 1:1 electrolytes like NaCl show minimal ion pairing in aqueous solutions due to weaker electrostatic interactions between singly charged ions.
Q3: Why does water limit ion pair formation compared to other solvents?
Water's high dielectric constant weakens electrostatic attraction between oppositely charged ions, reducing ion-pair formation. Solvents with lower dielectric constants are less effective at stabilizing separated charges, resulting in stronger electrostatic attraction and increased ion pairing even for 1:1 electrolytes.
Q4: How does ionic association affect electrical conductivity?
Ionic association reduces electrical conductivity because ions form associated species like CaSO₄ and MgF₂, decreasing the number of free charge carriers in solution. The extent of association can be estimated from conductivity measurements, with association becoming significant in concentrated solutions and negligible at infinite dilution.
Q5: What is the difference between ion pairs and complex ions?
Ion pairs are held together by electrostatic forces and often retain part of their solvent shells, whereas complex ions involve bonds with significant covalent character, commonly forming in transition-metal salt solutions. Absorption spectroscopy can distinguish between these species, and solutions may contain both types simultaneously.
Q6: How do temperature and molality influence ionic association?
Both temperature and molality affect the extent of ionic association in solution. At infinite dilution, the degree of association approaches zero, while association becomes significant in concentrated solutions. Higher temperatures increase thermal energy, reducing favorable ion-pair formation conditions.
Q7: How does Bjerrum's theory compare to experimental observations of ion pairing?
Bjerrum's theory predictions closely match experimental data when the percentage of cations in ion pairs is plotted against molality. This agreement validates the theoretical framework that electrostatic attraction must exceed thermal energy for ion-pair formation, supporting the Debye–Hückel Theory of Electrolyte Solutions as a foundation for understanding nonideal behavior.