低温下六方晶格的固体热容与德拜模型比较  

Comparison between hexagonal prism’s specific heat and Debye model at low temperature

作　　者：郭振平[1] 金华[1] 沈龙海[1] 

机构地区：[1]延边大学理工学院物理系,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2002年第2期92-94,共3页Journal of Yanbian University（Natural Science Edition）

摘　　要：根据晶格动力学方程 ,求解镧等六方晶格的晶格振动问题 ,在具体方向上得到了晶格色散关系 ,进而得到了态密度表达式 ,并计算出低温下热容 .结果表明与德拜模型一样只与T3成正比 .通过与低温下德拜热容比较 ,确定出力常数表达式 ,进而得到镧的力常数为 9.838N/m .By using the equation of crystal dynamics, we present a resolving process of hexagohal prim crystal vibration. Then crystal dispersion function on special direction is shown. On the basis of it, the state density is obtained. At last, we calculate their specific heat at low temperature and find them proportional to T 3. Through comparing two special heat expression, force constant can be defined. For example La's force constant is 9.838?N/m.

关 键 词：六方晶格 固体热容 德拜模型 色散关系 态密度 晶格动力学 晶格振动 

分 类 号：O733.1[理学—晶体学]