52 PROFESSOR KELLAND, ON MOLECULAR EQUILIBRIUM. 



32. By collecting all the terms together, we obtain as the total 

 action of two particles of matter surrounded by atmospheres of re- 

 pulsive caloric, estimated in the direction of the line joining their 

 centres, and supposed of an attractive character, 



M* IvP qMP 



+ 4nrMRd[_ aI (1+a / ) _ c -«(.-0(l +a ^Z7 ) J 



2irAMPe~ aa ( ... C ni 1+art 

 + ^ \ e ~ W + — + CI+ P + r) 



aa I* [a a 



- e+° l (a 4 + - - CI -±±^l 3 + I*) 



a a 



_ («. + P) (Lt££±iJ er-' - 1 + a ;~ a/ «•')} 



2,TrAMPe- aa „ ' f/ rt 3/ 3\ . /„ 3/ 3\ ,1 



a ' 



But we have seen (24) that 



4irP(l+al)Ae- al ,, 4tt/ j _ 



^ =M-— Pq; 



hence the first line is destroyed by the first term in the second, and 

 we get 



„ AMP2-we- aa r 2e a ' . 



S = = — — \l + a(a-l)\ 



a a 2 L a n 



e '"'i^ \ ( a3 3 \ ( . o 1+ ««\ 7 l+"« ,, J 



+ ^-|(l +a a).(---j + ^-3-^-)./ + - T -.^ + ZJ 



-_|(l + a«).(-- a4 )-(^-3^-)./--— -./. + /«| 



