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In this paper the writer employs complex Riemannian Geometry and defines the absolute interval between two points as consisting of a real part and an imaginary part. Two postulates (I) and (II) are used: the first may be called law of gravitation and electro-magnetism; the second equation of motion. In the absence of electromagnetic phenomena the theory reduces practically to Einstein's theory.

在此文内,作者利用复变来曼几何以宇宙间两点之距离为一实数及一虚数部分相构而成,於此并用假说:一可称为吸力及电磁定律,一为物体行动定律,解释吸力及电磁力之各种现象。在无电磁现象时,此文与爱因斯坦之吸力理论多相符合至於详细情形,容诸续篇。

An analysis of the existing data for doubly ionized calcium in the extreme Schumann region below 1010 was made, and practically all the bright lines in this region were classified. 16 new terms were tabulated. The isoelectronic sequence A I. K II. and Ca III was dismissed. An interesting new level 3s3p +s3S1, which combines with all the Ss23p5+s terms, is obtained in the analysis.

本文就已知之记录,分析钙之二度游离光谱,凡较强之线在Schumann氏范围之极端约λ1010以下者几全均识别;而所新得之十六项亦具表详列对AⅠ,KⅡ及CaⅢ之等电子序并有详细讲讨论更有3s5p~64s~3S_1项者,与3s~23p~44s诸项相配合,亦经分析酌定焉。

Thirty eighr lower levels, and seventy five higher levels of Ce II have been obtained. The analyzed array contains 925 lines which include a large number of stronger lines. The lowest level is believed to be df(1G°4)6s2G°31/2. It is also shown that the determination of g values, or the actual term designations, requires an extensive measurement of Zeeman effect.

本文得到CeⅡ之低能位三十八,高能位七十五。分析所得之排列表共含有光谱线925条,多数之较强光 谱线均在其内。该光谱之最低能位,当属df(~1G_4~0)6s ~3G_(31)~0无疑。本文更指出欲测定每项之g值,或决定每项之真正命名,尚有待於Zeeman效应之精密测定焉。

 
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