SPECIFIC GRAVITY AND DISPLACEMENT OF SOME SALINE SOLUTIONS. 147 



§ 66. In the following tables we collect the different schemes of ordinal sequence 

 of residues for the different solutions of the hexads having metalloidal nuclei, ft 

 will be seen that the regukrity of these sequences and that of their progressive 

 development is remarkable. 



Hexa- 

 gon. 



Concentration (m) and Remarks. 



Ordinal Sequence of Residues. 



m [CI] 



The regular system of sequence is found in 1/64, 

 1/128, 1/256. 



K 



Rb 



Cs 



KO3 



RbOg 



CSO3 





By shifting KO3 to the first place and closing up, we 



KO, 



K 



Rb 



Cs 



RbOg 



CSO3 





get 5/6 of the regular system. 















»i[Bp] 



When KO3 and Cs exchange places in the regular 

 system, we have 1/64, 1/128. 



K 



Rb 



KO3 



Cs 



RbOg 



CSO3 





The arrangement for 1/256 and 1/512 is also a very 



K 



KO3 



Rb 



Rb03 



Cs 



CSO3 





regular one. 















mfll 



Equally regular but opposed to the last is 1/256 



KO3 



K 



RbOg 



Rb 



CSO3 



Cs 





When K and EbOg exchange places, we have 1/128 



KO, 



RbOg 



K 



Rb 



CsOg 



Cs 





and 1/512. 

















And when Rb and CsOg now exchange places, we 



KOv 



RbOg 



K 



CsO, 



Rb 



Cs 





have 1/64. 















When we consider the hexads with metallic nucleus, we find less regularity in the 

 ordinal sequence of residues than we did in the hexads with metalloidal nucleus. The 

 greatest regularity is shown by the hexads which exhibit the common initial sequence 

 CI, Br, IO3, and we take them first. 



Hexa- 

 gon. 



Concentration (m) and Remarks. 



Ordinal Sequence of Residues. 



m[K] 



1/64, 1/128 1 This arrangement is derived from the regular 

 1/128 1 s?/s^em by transposition of I and IO3. 















m Rb 



01 



Br 



10, 



CIO, 



BrO, 



I 



M[Rb 



1/64, 1/256 Transposing Br03 and CIO3 .... 



CI 



Br 



10, 



BrO, 



CIO, 



I 



m Cs' 



1/64 Transposing CIO3 and I . . . . 



CI 



Br 



10, 



BrO, 



I 



CIO, 



in Cs' 



1/256 Transposing IO3 and BrOg .... 



CI 



Br 



BrO, 



10, 



I 



CIO, 



m Cs 



1/128, 1/512 Transposing CIO3 and I . . . . 



CI 



Br 



BrO, 



10, 



CIO, 



I 



/H[Rb 



1/512 Shifting IO3 to the beginning 



10, 



CI 



Br 



BrO, 



CIO, 



I 



m K 



1/512 1 These two are not derived by any simple] 

 1/256 1 transpositions from others. ( 



10, 



CIO, 



CI 



Br 



I 



BrO, 



m[K] 



CI 



I03 



Br 



CIO3 



I 



BrOg 



In the following table the ordinal sequence of residues is shown in another 

 form. It consists of six sub-tables corresponding to the six nuclei respectively. The 

 middle column (m) gives the concentration of the solution in each line. The numbers 

 in the body of each sub-table are the ordinal numbers of the places occupied by the 

 residues at the top of each column in the solutions specified by the symbol of the 

 hexagon at the top of the sub-table and the value of m on the same line in the column 

 in the middle of the table. The numerals in the sub- tables are printed, some in black 

 type and some in ordinary type. The black type is used only when the particular 

 residue occurs three times out of four in its particular column ; the ordinary type is 

 used when it occurs twice or once in the same column. 



