结构相角二阶代数式的应用——Ⅱ.正交空间群二阶式及其应用

APPLICATION OF THE SECOND RANK ALGEBRAIC FORMULAS OF STRUCTURE FACTOR PHASESⅡ.THE SECOND RANK ALGEBRAIC FORMULAS OF ORTHORHOMBIC SPACE GROUP AND THEIR APPLICATIONS

以作者在前文中提出的单相角二阶代数式的推导方法为依据,在完成三斜、单斜空间群推导结果的基础上,进而又完成了正交晶系59个空间群二阶式的推导,从而提供了低级晶系(三斜、单斜和正交)全部74个空间群的简明、完备的二阶代数式运算用表。对三个晶体结构进行了相角估算,结果较好。文中提出了代数法应用的新特点,即“一种类型相角可用多种二阶式求得,多种类型相角也可用一种二阶式求算”。

Based on the method of deriving the second rank algebraic formulas of single phasespresented in previous paper, the second rank algebraic formulas of all orthorhombic spacegroups, includin g triclinic and monoclinic, have been derived. Thus a simple and complete table is presented for all the 74 space groups in triclinic, monoclinic and orthorhombiccrystal systems. The structure eminvariants of three crystal structures with orthorhombicspace group have heen estimated by corresponding algebraic formulas, the results are quitegood. The feature of in the application of algebraic method lies in that one type ofphase could be estimated by different kinds of second rank algebraic formulas and severaltypes of phases could be estimated by one kind of second rank formulas.