对《关于〈一维圆环上双原子链的马德隆常数〉的解析解》的讨论  

Discussion on the paper“Analytical solutions of the Madelung constant of double atomic chain on circles”

作　　者：周群益 莫云飞 侯兆阳 刘让苏[4] ZHOU Qun-yi;MO Yun-fei;HOU Zhao-yang;LIU Rang-su(College of Tianhe,Guangdong Polytechnic Normal University,Guangzhou,Guangdong 510540,China;School of Electronic and Communication Engineering,Changsha University,Changsha,Hunan 410022,China;School of Science,Chang’an University,Xi’an,Shanxi 710064,China;School of Physics and Microelectronics Science,Hunan University,Changsha,Hunan 410082,China)

机构地区：[1]广东技术师范大学天河学院,广东广州510540 [2]长沙学院电子信息与电气工程学院,湖南长沙410022 [3]长安大学理学院应用物理系,陕西西安710064 [4]湖南大学物理与微电子科学学院,湖南长沙410082

出　　处：《大学物理》2020年第4期23-27,36,共6页College Physics

基　　金：国家自科基金(11747123);湖南省自然科学基金(2018JJ3560);长沙市科技计划项目(kc1809022)资助.

摘　　要：本文绘制了一维等距离子晶体的累加法、埃夫琴法和平均值法的各级马德隆常数的曲线.本文推导了二聚化直线离子晶体马德隆常数的求和式,比较了两种解析式的优劣.本文详细地推导了圆环上等距和二聚化离子晶体的马德隆常数的解析式,使读者更易于理解.本文修正了《关于〈一维圆环上双原子链的马德隆常数〉的解析解》的两个笔误,还建议修正二聚化马德隆常数的定义式,使其物理意义更明显.The Madelung constants of atomic chain is calculated by accumulation method,Evjen method and mean value method,and the results are compared.It is found that the Madelung constants of atomic chain with finite length is different from that of circles.It is also found that the Evjen method is equivalent to the mean value method by means of plotting graph.Two errors in the paper“Analytical solutions of madelung constant of double atomic chain on circles”are revised,and it is proposed to revise the definition of dimerization Madelung constant,so that its physical concept is more obvious.

关 键 词：马德隆常数 埃夫琴法 平均值法 二聚化参数 

分 类 号：O481[理学—固体物理]