1920. No. 2. ON THE X-RAV SPECTRA. II 



we get the equation (15) of Paper I. corresponding to recombination from 

 a secondary circle. 



Thus we know that in a number of cases q- ^. ^ - i gives an ap- 

 proximate solution of (11); but then we see from Table I. that in any 

 such case there will be another xalue of </■ , ^ which ouL^ht to give an 

 equally good solution. 



We also see that the values of <P {q) — 7 inside the interval of pos- 

 sible values of (/ show comparativel)' small variations, and if ^ = i is an 

 approximate solution any value of 7 between i an 12 say would give a 

 fairly good agreement with observations. 



As we cannot, at any rate from the present scheme, claim or obtain 

 a perfect agreement between observed and calculated values we cannot 

 be sure that the value of (/■ ^ ^, which gives the best numerical agreement 

 is the true one. I other words, even if our present hypothesis should 

 prove to be right, we cannot with any claim of accurac}' determine 

 the number of electrons of a ring onh' from a radiation process in 

 which this ring is the one from wJiicJi the electron starts recombinatoin, 

 thus e. g. we cannot bv means of the K^^ line determine exactly the 

 number of electrons in the /.-ring. 



As it appears from my previous paper this is no longer the case 

 when we assume the energ}- to be preserved. In that case the K^-Wne 

 gave quite definite values for the number of electrons of both the A'- and 

 the />-ring. 



On the assumption of preservation of momentum, however, the 

 number ef electrons of each ring svstem must be determined from a line 

 which is produced, when the ring in question is the one to which 

 recombination takes place, or the number of electrons must be determined 

 by the value of 7,, which gives a possible value of the right term of 

 eqution (i r^,). 



Now 4-1-M <P{ri,)-q, 



11, 



is the variable part of the term to the right, and for small values of 

 n- the ratio will differ considerably from unit)-, and the expression to the 

 right of (11^) will vary fairly rajiidly with 7. Thus if there is a value 

 of <ij which gives an approximate solution of (i i^,) there will be no other 



"«•+ r 



value which satifies. When n becomes fairly large, however, 



' ■' ^ 7?,- 



approaches unity and also the right term will show a similar \ariation 



as (7) - (7). 



