200 



Prof. Norton on Molecular Physics. 



expression 



ir+z) 



^; for the sethereal repulsion the expression 



m 



-. = — r 5 ; and for the electric repulsion -5. Then 

 (2r + x) 2 r x" 



n n w(8r 2 -f 2rx) 



V ~ (r + xf "~ (2r + a?) 2 "~ (r + a?) 8 (2r + ff)* 



m 



U— -5 



2> 



f=V-U: 



n(Sr q + 2rx) m 



(1) 

 (2) 

 (3) 



(r + a?) 2 (2r + a?) a tf 2 



As the two forces of electric attraction and repulsion have an 

 entirely different origin, we have no reason to suppose that 

 n = m; nor have we any means of ascertaining, on a priori 

 grounds, their comparative values. But we can assume that 

 u = v for some supposed value of x, determine the ratio of n to 

 m on this supposition, and calculate the values of/ for various 

 values of x, both greater and less than that for which we have 

 taken /== 0. 



Table I. 



/=0 when 



f=0 when 



f= 



when 



/= 



= when 



f- 



= when 



x=20r. 



# = 10r. 





r = 5r. 





x=3r. 





x=2r. 



» = 12-410m. 



w = 7'576m. 



n = 



5-428>rc. 



n = 



= 4-938w. 



n- 



=5-143m. 



X. 



/. 



X. 



/. 



X. 



/• 



x. ' 



/• 



X. 



/• 



05 r 



-0-470 h 



0-5r 



-1*8450* 



0-5 r 



-2-4560 Jc 



20r 



-0-00996* 



l-8r 



-0-00881* 



06 



+ 0-2341 



0-7 



-0-4586 



10 



-0-2461 



25 



-0 00075 



1-9 



-000361 



0-7 



+05510 



0-9 



-00368 



1-5 



-0-01906 



2-7 



-0-00001 



1-95 



-0-00164 



0-9 



+0-7275 



10 



+00522 



1-672 



000000 



2-8 



+ 00009 



20 



000000 



10 



+07236 



1-2 



+0-1310 



1-7 



+ 0-00207 



2-9 



+ 0-00008 



21 



+0-00246 



1-3 



+0-6146 



1*3 



+01447 



20 



+0-01386 



30 



00000 



22 



+ 0-00408 



1-4 



+ 0-5709 



1-4 



+01497 



2-2 



+0-01576 



3-2 



-000034 



2-3 



+0-00508 



1-5 



+0-5360 



1-5 



+0-1492 



2-25 



+ 0-01585 



3-5 



-000102 



2-4 



+0-00563 



20 



+03533 



1-7 



+0-1398 



2-3 



+ 001584 



40 



-0-00215 



2-5 



+000586 



50 



+0-0514 



20 



+0-1183 



2-5 



+0-01506 



5-0 



-000360 



2-7 



+000568 



100 



+0-0064 



4-0 



+00301 



2-75 



+001322 



60 



-0-00416 



3-0 



+000460 



150 



+0 00109 



50 



+00158 



30 



+0 01102 



7-0 



-000421 



40 



+0-00036 



20-0 



0-00000 



7-0 



+ 00444 



40 



+0-00384 



8-0 



-000404 



41 



+000003 



25 



-0000265 100 



000000 



50 



0-00000 



9-0 



-0-00377 



45 



-000109 



30 



-0000317|150 



-0-00107 



60 



-0-00181 



100 



-000349 



5 



-0 00211 



350 



-0-000306 20-0 



-0-00097 



70 



-000280 



15 



-000224 



70 



-00036 



40-0 



-0-000280 30-0 



-0-00061 



8-0 



-000289 



200 



-000150 



8-0 



-00036 



800 



-0-000110 40-0 



-0000413 



90 



-0-00292 



400 



-0000487 



100 



-0 0032 







80-0 



-0-000128 



100 

 150 

 200 

 40 

 800 



-0 00283 

 -000202 

 -000141 

 -0 00047 

 -0 000136 



800 



-0-000138 



150 



200 

 400 



800 



-0 00215 

 -000146 

 -0000481 

 -0O00137 



1 



