By Carl L. Withner
First introduced in 1998 as "A publication in Six Parts," this huge sequence is now entire. the ultimate quantity comprises taxonomic and nomenclatural alterations affecting species coated within the previous models, besides additions and adjustments.
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Additional resources for The Cattleyas and Their Relatives, Vol. 1: The Cattleyas
Sample text
To take into account monolayer saturation, Langmuir introduced the saturation factor, assuming r = r ~ 1(1 + So ) = = k G"n/(1 + So-kG-n), where So is the adsorption site of a molecule for complete coverage of the monolayer. Introducing this factor into (48), we obtain the familiar Stern isotherm for the Charge*) rlt *) Actually, Stern suggested the isotherm, which is slightly different from (44). This difference, however, is insignificant and we 31 (50) Similarly, we obtain for adso~ption ( 51) Very few general conclusions can be deduced from (50) and (51).
The limits of applicability of the Poisson-Boltzmann equation (83). Curve 1, an error of 5%; curve 2, 10%. The shaded region corresponds to aqueous solutions of 1-1 electrolytes. 55 Bjerrum radius, and R is the mean ion diameter (it was assumed in 35,36 that the ions a~e spheres of the same diameter, so that all R~ are equal to Ro ). -e-,z. '. is the mean charge of electrolyte ions; '" 01 0/ the fraction of ions of sort 01 • Solid curves in Fig. 8 deliniate the region of applicability of (83), curve 1 corresponding to the accuracy 5% and curve 2 to 10%.
C13 (it) -f. tp(~ -f. ~ {5} +~J . t=O It follows immediately from (76) (cf. (13» (78) where (79) Similarly, we obtain from (71) (cf. (34» ~! ;~,~)=- /r; {~C({(Lj)+f eoftK~{ij)[e:J:p[- J (~;(R~)) +~~~. 4 J -, 'OljIcl -..... :. CI-