中文摘要：

利用Ф映射方法得出了计算向错线自由能公式和向错强度为m=±1的向错点自由能公式，从而弥补了挖掉奇异区域来估算自由能的不足。研究结果表明，液晶在有向错线的结构中指向矢场更多地出现正的向错强度状态。随着k24的增大，m=＋1的向错点的自由能将降低，而m=-1的向错点的自由能将增大。

英文摘要：

The free energy of disclination lines and disclination points（m=± 1）were calculated using the light of Ф-mapping method which made up shortcoming of the estimation of the free energy by digging a disclination core region. It was shown that the director field of liquid crystals with disclination structures would prefer to stay in the positive disclination strength states. Along with the increase of k24, the free energy of disclination points which disclination strength is m＋1 would decrease and which disclination strength is m=-1 would increase.