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在向列相液晶中悬浮的球形微粒周围可能存在两种类型的缺陷:土星环结构和偶极子结构.文章通过计算它们的自由能,研究了向列相液晶中两种类型缺陷的稳定性.计算结果表明:当k24k(1-(1/2)ln(R1/rc))时,对于半径较小的球形微粒土星环缺陷比较稳定,但是对于较大的球形微粒偶极子缺陷比较稳定.进而可得,通过增加粒子半径、鞍形展曲弹性常数k24或者减小弹性常数k的方法可以实现土星环缺陷向偶极子缺陷的转变.

The stability of Saturn-ring and dipole defects in nematic liquid crystals is studied.Two structures are possible around microspheres suspended in nematic liquid crystals: a Saturn-ring and a dipole, which are investigated by calculating their Frank free energy. As a result, if k24k(1-(1/2)ln(R1/rc)), for small particles the Saturn-ring defect is more stable, and contrarily for large particles the dipole de-fect is more stable. The results demonstrate that a transition from the Saturn-ring defect to the dipole defect is induced either by increasing the particle size, the saddle-splay elastic con-stant k24 or by decreasing k.

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