金属结合能、线膨胀系数及德拜温度的解析研究与计算  

Cohesive energies,linear expansion coefficients and Debye temperatures of metals

作　　者：于长丰[1] 

机构地区：[1]西安工程大学理学院物理系,陕西西安710048

出　　处：《物理实验》2018年第2期8-14,共7页Physics Experimentation

基　　金：国家自然科学基金项目资助(No.61405151)

摘　　要：采用两体势模型研究了7类晶系共53种金属的结合能、线膨胀系数及德拜温度,并给出了三者之间普适性的关联方程及解析计算式.理论计算出的线膨胀系数及德拜温度与实验值比较其平均相对误差分别为2.9%和1.66%,相对均方根误差分别为3.75%和2.19%.金属结合能、线膨胀系数及德拜温度三者关联方程中,存在适合于不同晶系结构的共同的关联因子,该因子的均值为1.046,相对均方根误差为2.17%.The cohesive energies,linear expansion coefficients and Debye temperatures of 53 metals which belongs to seven kinds of crystal systems were studied by using two-body potential model.An universal correlation-equation of the cohesive energy,linear expansion coefficient and Debye temperature and the corresponding computational formulas were given.The calculated values for the linear expansion coefficients,Debye temperatures of 53 metals were compared with the experimental values.It was found that the mean relative errors were 2.9% and 1.66% respectively,and the relative root-mean-square errors were 3.75% and 2.19% respectively.Meanwhile,in the correlation-equation,there existed a common correlation factor suited to different crystal systems,the mean value of this factor for 53 metals was 1.046,its relative root-mean-square errors was 2.17%.

关 键 词：金属结合能 线膨胀系数 德拜温度 两体势模型 关联因子 

分 类 号：TG113.2[金属学及工艺—物理冶金]