摘要
应用Mott(莫特)的熔化简谐振子模型,引入(原子振幅)/(最近邻间距)=δ后,我们发现相应的液态金属的δ是晶态的δ的1.39倍.据此还导出了△Sm和△V/V的关系式为:△Sm=R(1+△V/V),对18种金属,上式符合很好.最后计算了20种金属的熔点,理论值和实验值也较好地符合.
Using Mott's simple harmonic oscillator model of melting and let δ be the ratio of atomic vibration amplitude (rms) to the nearest atomic distance, we have found that δL= 1.39δS, where δL and δS correspond to the value in liquid state and in crystalline state during melting respectively. The equation of △Sm and increment ratio of volume during fusion △V/V are deduced as follows. △Sm = R (1 + △V/V). R is gas constan. It shows that this equation agrees well with ex- perimental data for eighteen metals. Finally, we have calculated the melting temperature for twenty metals, the theoritical values are shown to be close to those of the experiments
关键词
熔化熵
熔化体积增率
简谐振子模型
熔点
Melting entropy
Increment ratio of volume during fusion
Simple harmonic oscillator model
Melting temperature
