Single crystals of K₂PbCu(NO₂)₆ have been grown from aqueous solution; however, convection effects often introduce defects in the crystals and contribute to a high nucleation rate. Here, we show that K₂PbCu(NO₂)₆ single crystals can be grown in silica gels where convection is largely eliminated, resulting in diffusion controlled crystal growth. The diffusion coefficients of the Cu²⁺- and Pb²⁺- acetates in potassium silica gel were determined using a classical one-dimensional (1D) diffusion model. The influence of the reactant concentrations on the nucleation location and growth was investigated. The growth rate was analyzed using Frank’s model for diffusion-controlled growth rates for a radially symmetric crystal. The magnetic susceptibility of K₂PbCu(NO₂)₆ shows evidence of 1D antiferromagnetic behavior based on a Bonner–Fisher fit.

中文翻译：

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K ₂ PbCu（NO ₂）_6-磷钙石单晶的凝胶生长

K ₂ PbCu（NO ₂）_6的单晶是从水溶液中生长出来的。然而，对流效应通常会在晶体中引入缺陷，并有助于高成核速率。在这里，我们表明，K ₂ PbCu（NO ₂）₆单晶可以在硅胶中生长，其中对流被大大消除，从而导致扩散受控的晶体生长。Cu 2 ⁺ -和Pb ²⁺的扩散系数-使用经典的一维（1D）扩散模型确定了钾硅胶中的乙酸盐。研究了反应物浓度对成核位置和生长的影响。使用弗兰克模型对径向对称晶体的扩散控制生长速率进行了分析。K ₂ PbCu（NO ₂）_6的磁化率显示出基于Bonner-Fisher拟合的一维反铁磁行为的证据。