﻿Aspects of the Neon Spectrum. 21.1 



XX', the change of energy due to change of orbit is 

 therefore equal to 



im{S l 2 [2\V + W 3 2 ]-S 2 2 [2W„ 2 + W I3 2 ]}. 

 Now, by Bohr's assumptions we have the equation 

 Energy Emitted = Frequency x h. 



Now, the frequency of a light-wave =c/X where l c' is 



the velocity of light and i \ i is the wave-length. 



Therefore 



ch 

 Energy Emitted = e= — , 



ch 

 or X= — . 



e 



Now, in the case of an inner electron 



ch 



\= 



mCR^WV-L^VVn*)' 



giving a series of lines for different values of R. 

 In the case of the outer electrons, 



2ch 



X ~ m{S{\2 W * + W 3 *) + S 9 »(2 W n 2 + W„«) } ' 



giving a second series of spectral lines. 



Table III. shows the energies corresponding to definite 

 radii. Column II. shows the energy content of an inner 

 electron on the left, and that of an outer electron on the 

 right. Column III. shows the change of energy, and 

 column IV. shows the wave-lengths of the spectral lines 

 produced. It should be stated here that the energy under 

 consideration is the energy of one electron and not of I he 

 whole shell. It has been stated that there is a possibility 

 oE the atom not being in its normal condition to begin with, 

 owing to its gaseous condition. If, however, it has expanded, 

 then instead of starting with an atom whose diameter is 

 1'oOxlO -8 cm., we start with one whose radius is in all 

 probability equal to one of the radii given in Table II. 

 If this is so, then the only change produced will con- 

 sist of the elimination of some of the lines of higher 

 frequency. 



P 2 



