232 
PROF. A. FOWLER ON SERIES LINES IN SPARK SPECTRA. 
The formulae which have been calculated are as follows 
I. Rydberg’s, with N as for hydrogen, 
4 x 109,679-3 
n - 49,770-45 (m + 0 . 996943)! 
II. Rydberg’s, with numerator calculated, 
r = 49 781-91— 4xl09 ’ 883 ' 9 
’ (m + 0'999887) 2 
III. Hicks’, with N as for hydrogen, 
4 x 109,679-3 
m = 3, 4, ... 
m — 3, 4, 
n = 49,775-20- 
m + 0‘994541 + 
0"00617 0V 
m — 3, 4, ... . 
m 
IV. Ritz’s, with N as for hydrogen, 
4 x 109,679-3 
n = 49,77476- 
m — 0" 004714 + 
0-021503 
m 
m 
4, 5. .... 
V. Rydberg’s, with numerator calculated, and (m + /u i) assumed an integer 
4 x 109,891-8 
n = 49,781-63- 
nv 
m = 4, 5, 
VI. Same as V. ; least square solution, using all the lines, 
n 
49,780-44- 
4x 109,885-65 
m 2 
m = 4, 5, ... . 
The observed minus computed values resulting from these formulae are shown in 
Table II. 
Table II.—Less Refrangible Components of Mg “ 4481 ” Series. 
Wave- 
number 
(I.A.), 
in vacuo. 
Esti¬ 
mated 
limit of 
error. 
I. 
II. 
III. 
IV. 
V. 
VI. 
Remarks. 
22,308-68 
32,198-99 
37,571-43 
40,810-65 
42,912-64 
44,353-99 
45,384-70 
46,147-24 
(46,727-2)1 
0-02 
0-05 
0-14 
0-17 
0-4 
1-0 
1-0 
1-1 
o-oo* 
- 1-30 
o-oo* 
+ 1-43 
+ 2-39 
+ 3-48 
+ 4-11 
+ 4-57 
o-oo* 
o-oo* 
o-oo* 
-0-15 
-0-63 
-0-71 
- 1-05 
- 1-37 
o-oo* 
o-oo* 
o-oo* 
+ 0-21 
+ 0-25 
+ 0-70 
+ 0-86 
+ 1-00 
( + 1-15) 
o-oo* 
o-oo* 
o-oo* 
+ 0-25 
4-0-34 
4-0-85 
fl-06 
4-1-23 
o-oo* 
4-0-05 
o-oo* 
-0-22 
-0-75 
-0-88 
- 1-26 
- 1-60 
-0-35 
+ 0-25 
+ 0-51 
4-0-47 
4-0-05 
o-oo 
-0-31 
-0-62 
] Lines unresolved 
[- but wave-num¬ 
bers adjusted. 
* Used in calculation of constants. 
t Calculated from equation III. assuming estimated error of formula. 
