454 Mr James, Theoretical Value of Sutherland's Constant, etc. 



where H = I, ^ {r + 1) 



" (2r + 1) (2f + 3) (2r + 5) (2r + n) ' 

 The next step in the integration is to calculate 



AP\, = -rV'AQ'{V)e-^^'dV, where ^= ^'''''"'' 



Jo 



nil + ^2 ' 



12 



or AP io = "^ ' 1 2 ( 



(mi + mg^ 



The coefficient of diffusion D^g contains a factor (iH-— V^, 

 namely 



r, 3 /2\i 1 /ET\^ /I 1 \ , 



and on reference to the papers cited, together with the above 

 analysis, it will be seen that 



where 



>Si2 = </>(o-){l-4(n- l)H,}/2R. 



on with the above, and with the t 

 once write down, for the shell of 



Si2 = <l^{cr){l-iHJ{a-l)}/2R, 



By comparison with the above, and with the viscosity calcula- 

 tions, we can at once write down, for the shell of force case 



1 (2r+l)(2r+3)(2f+5) (' «2,-j + 105 ^°S 

 The values of RS^Jcf) (a) are given in the following tables: 



Inverse Power Law. 



^ 4 5 6 7 8 9 



RSJ<i>{a) 0-227 0-201 0-182 0-167 0-154 0-144 



_ The numerical calculation becomes simple for n odd, from n=l 

 inclusive, n = 8 was interpolated merely. 



The Shell of Constant Force, 

 a 1-25 1-50 1-75 2 2-5 3 4 



IiSJ<l){(r) 0-153 0-208 0-243 0-268 0-303 0-327 0-358 



a 5 6 7 8 9 10 



IiS^J(j){o-) 0-378 0-393 0-404 0-413 0-420 0-425 



Prof. Chapman's value was 0-5 in all cases. That this sequence 

 tends to zero as a tends to unity can be verified as before. 



It can also be verified, in the same way, that the next term in 

 the series m inverse powers of T is still positive 



