560 DR J. HALM ON 
It is of course quite unnecessary to compute the equation for more than one component 
in those cases where the subsidiary series consists of double or triple lines, because it is 
well known that the difference between the wave-frequencies of corresponding com- 
ponents is constant throughout the series. We therefore obtain the equation of the 
second or third component from that of the first by simply adding a constant to v0. 
We now turn to the elements of the second vertical column of MENDELEJEF’S series. 
The tables are computed in the same manner as before, but I have added a column 
showing the residuals of KaysEr’s formula which have been taken from the data in 
his Handbuch, but have been converted into wave-frequencies. The structure of the 
triplets in the 1st subsidiary series is in many cases complicated, especially that of 
the first two components. In such instances my computations refer to the simpler 
third components : 
7. Magnesium. 8. Calcium. 
1. Sussrprary Serres (1st Component). 1. Supsrp1aRy Series (3rd Component), 
log a, =4°95065 — 10 log a, =4°95797 - 10 
2 =39779°3 : » = 34073-0 
log b, = 4:34688,, — 10 i c log b, = 4°76493,, — 10 2 
|(m+p)| — v obs. v comp. Cea K-R. (m+ p)|  vobs. | v comp. Coan K-R. | 
2°9 260522 | 260513 +09 , +01 3°2 22595°9 | 225964) - 05) — 03 
3°9 32288°7 | 32290°9| —2:2 -0O1 4:2 27592°5 | 27592°5 00] - 05 | 
4°9 350651 | 35064:2| +0°9 —3°9 5:2 29900°0 | 29900-0 0:0 00 
59 36538'5 | 36537°6| +0°9 0:0 6°2 31155°0 | 311586} - 36/ + 38 | 
6°9 37412°6 | 37413°7| -1:1 +3°5 1:2 31886°4 | 31921:4| -—35:0 | -—218 
79 | 379776 | 379769| +07 | 49-7 | 
2. SuBsipIARY SERIES (1st Component). 2. Sussrprary Series (1st Component). 
log a,=4°94696 -10 log a, = 4°94860 —10 
o= g » = 34001°7 
log b, = 4'81358,, - 10 eae log b, = 4-92942,, — 10 s 
(m+ p) v obs. vy comp. one K-R. (m+yp)| — v obs. vy comp. ce K-R 
2°5 19290°7 | 19290:2| +0°5 — 198-0 27 16227°4 | 162276} -—0O2 | —158 
3°5 29968°6 , 29967°5|) +1°1 + 03 3°7 251641 | 25161:3| +2°8 00 
4°5 339881 | 33990°2) -—2:1 — 05 47 28671°3 | 28675:0| -—37 0:0 
5°5 35951°4 | 35951°9| -0°5 + 02 5-7 304300 | 30431°9| -19 | - 072 
6°5 37058°5 | 370586} -—O'l1 - 15 67 31432°9 | 31440°3) -—74 | — 216 
75 37745°8 | 37744:9| +09 | — 38 vferi 320739 | 32072°0| +19 | + OF 
