483 
DISTRIBUTION OF INTENSITY IN BROADENED SPECTRUM LINES. 
illustrative case which has been selected is a fair approximation to the actual case 
of H a , and contains both varieties of kinks. It is the upper part of the curve 
based on Stark’s numbers for intensity and separation, magnified in the ratio 33:1 
from the original theoretical photograph, and with a total height of 198 cm., 
arbitrarily selected, as the approximate height of the Id a photograph. The initial 
slope is taken also as that of the photograph, so that q () — 16'5 and p tan a = 1 .(q u q 2 ) 
for the first two other components are taken arbitrarily as 5 and 2, and (g :! , g 4 ) still 
smaller, so that they have no appreciable effect on the first two kinks. 
The figure (fig. 6) exhibits the result of the calculations, the details of which are 
fairly obvious. The heights of the kinks are calculated and the slopes of the two 
branches at each. The trough preceding the first kink is calculated as a minimum 
height on its branch, and other points are plotted from the equations in the 
ordinary way. 
Stark gives the central component an intensity 2‘6, and the next two an intensity 
1 each. These are energy measures, and the central intensities of the broadened 
components are proportional to 2'6g 0 , 5q x , 2 q 2 , or 42'9, 5, 2 respectively, and are 
represented by these numbers on a certain scale. The whole height, //., of the curve 
of intensity I c is given by 
I c e' 1 = 42T + 2 (5e~ 5cr ' + 2e~ 2a -), 
3 u 
VOL. CCXVI.-A. 
