Page:Über die Konstitution des Elektrons (1906).djvu/46

The following table contains the results of calculation:

Table VIII.
Comparison of the observed with the calculated curve.
z'	y'obs.	p	y'cal.			δ			β
			I	II	III	I	II	III	I	II	III
0,1350 0,1919 0,2400 0,2890 0,3359 0,3832 0,4305 0,4735 0,5252	0,0246 0,0376 0,0502 0,0545 0,0811 0,1001 0,1205 0,1405 0,1667	0,5 1 1 1 1 1 1 0,25 0,25	0,0251 0,0377 0,0502 0,0649 0,0811 0,0995 0,1201 0,1408 0,1682	0,0246 0,0375 0,0502 0,0651 0,0813 0,0997 0,1202 0,1405 0,1678	0,0254 0,0379 0,0502 0,0647 0,0808 0,0992 0,1200 0,1409 0,1687	-5 -1 0 -4 0 +6 +4 -3 -15	0 +1 0 -6 -2 +4 +3 0 -11	-8 -3 0 -2 +3 +9 +5 -4 -20	0,974 0,922 0,867 0,807 0,752 0,697 0,649 0,610 0,566	0,924 0,875 0,875 0,823 0,713 0,661 0,616 0,579 0,527	0,971 0,919 0,864 0,805 0,750 0,695 0,647 0,608 0,564

From the table it is given, first, that one cannot make a decision in favor or against a theory based on the shape of the curves alone, without consideration of the absolute values of the constants^[1]. The mean error of the individual curve points namely amounts:

For	I	: 5	Micron	(Abraham)
For„	II	: 5	"	(Lorentz)
For„	III	: 7	"	(Bucherer).

However, since in the theoretical calculation of the curve, terms of relative amount of 1-3 thousandth were neglected several times, the neglecting-amount for the average and bigger $y'$-values are thus already of the order of the average value hat was found. However, I have renounced to make a more precise calculation, since due to the great individual deviations of the single plates to one another, the omission of a plate or the introduction of other weights is actually sufficient, to cause displacements of the curve of some microns.

Thus one can at first only say as the result of the previous calculation, that all three theories represent the relative shape

1. A graphical illustration of the calculated curves in the measure of Tab. IV, Fig. 11 is meaningless, since the differences would be too small to be seen with the mere eye.