In the “宀” radical of Shuowen Jiezi (說文解字): “家，凥也。从宀，豭省聲。𠖔，古文 家.” Duan Yucai believed that, the character “家” (jia) is composed of the radicals “宀” and “豕”, and should be classified under the radical “豕” instead of “宀”. The so-called “豭省聲” mentioned by Xu Shen is baseless. Based on the research of scholars in the Qing Dynasty, as well as the evidence from oracle bone inscriptions and bronze inscriptions, it can be concluded that “豭” is a newly created character, and its ancient form should be “𢑓”, which is “豕” with an additional semantic stroke indicating a male pig. The original intention of “豭省聲” should be to omit the character form of “叚” while preserve the pronunciation of “叚”. This takes into account both the ideographic character “家” derived from “ (𢑓)” and the phonetic-semantic character “家” derived from “ (豭)”. Duan Yucai proposed the concepts of “the original meaning of character creation” and “the original sense of character usage” to distinguish between the original meaning and the extended borrowed meaning, which is the value of his theory.

In this study, the additivity factors of compositions to density and glass transition point (Tg) in a xLi2O-(1-x)[(1-y)TeO2-yZnO] (0<x<20, 0<y<20) glass system were analyzed by using mixture design, and the change of ionic conductivity with density and Tg was discussed. As a method for predicting the relation between glass structure and ionic conductivity, density was measured by the Archimedes method. The glass transition point was analyzed to predict the relation between ionic conductivity and the bonding energy between alkali ions and non-bridge oxygen (NBO). The relation equations showing the additivity factor of each composition to the two properties are as follows: Density(g/cm3) = 2.441x1 ＋ 5.559x2 ＋ 4.863x3 Tg(˚C) = 319x1 ＋ 247x2 ＋ 609x3 － 1950x1x3 (x1 : fraction of Li2O, x2 : fraction of TeO2, x3 : fraction of ZnO) The density decreased as Li2O content increased. This was attributed to change of the TeO2 structure. From this structural result, the electric conductivity of the glass samples was predicted following the ionic conduction mechanism. Finally, it is expected that electric conductivity will increase as the activation energy for ion movement decreases.