255 
1921-22.] Quantum Theory of Secondary Spectra. 
associated with in the value of corresponding 
The table which follows gives the first member of each of the first 
twenty groups of wave-lengths calculated with the foregoing values of 
S and 150 wave-lengths were obtained ; but as the computation has 
only been carried out correctly to four significant figures and the experi- 
mental values are given to O'Ol A.U., the table of calculated and observed 
values is intended as an illustration of the kind of agreement obtained. 
For purposes of calculation, the Rydberg value N = 109675 cm.“^ has been 
used. Hasselberg’s values reduced to Rowland’s standard are given, and 
Hasselberg’s intensities have been ranged from 1 to 10 instead of from 
1 to 6. Watson’s values have been taken from the paper cited, and 10 has 
been taken as the maximum intensity. The value 0 for the intensity of 
a line indicates that the line is just visible. 
A X 10^ cm. 
(calculated). 
Watsou. 
Intensity. 
Hasselberg. 
Intensity. 
(2, 2) -(3, 3) 
5051 
5049-53 
2 
(1, 3)-(2, 6) 
4188 
4188-42 
0 
(1, 4)-(3, 12) 
5621 
5621-09 
0 
5620-05 
1 
(2, 3) -(6, 9) 
5232 
5231-30 
0 
(3, 2) -(6, 4) 
5538 
5537-67 
3 
5537-40 
6 
(2, 2)-(l, 2) 
4438 
4437-77 (Frost) 
(2, 2) -(2, 6) 
3652 
3652-88 
0 
(7, 7)-(I, 4) 
5846 
5847-84 
0 
(2, 2) -(6, 2) 
3882 
3882-19 
0 
(6, 5) -(2, 3) 
6335 
6335-53 
0 
(5, 5) -(3, 2) 
5443 
(1, 2)-(l, 3) 
3797 
379^73 
2’ 
3796-T’ 
5 
(5, 10)-(1, 4) 
5654 
5655-98 
1 
5655-61 
4 
(6, 12) -(4, 2) 
6439 
6438-10 
0 
(2, 4) -(3, 1) 
4006 
4005-57 
2 
(4, 8) -(2, 3) 
5601 
5600-65 
0 
5599-65 
4 
(3, 6) -(3, 2) 
5678 
5676-86 
0 
(3, 9)-(l, 4) 
6068 
606^96 
1 
6067-92 
4 
(1, 3)-(6, 3) 
4131 
4131-59 
1 
(5, 15)-(4, 2) 
6300 
6299-60 
5 
6297-90 
5 
The kind of agreement in the table given above is of the same order as 
that between the observed values of X and the values of A calculated from 
Balmer’s formula in the case of the primary spectrum of hydrogen with 
the value of N quoted. Birge, in Phys. Rev., vol. xvii, p. 589, 1921, by 
calculations based on the fine structure of the Balmer’s series and the 
corresponding lines obtained by the application of relativity mechanics to 
the atomic model, obtains a value of N = 109677‘7zh0*2. He states that 
