A new fonn ulation is presenl ed for Ih e vapor press ure of ice from Ihe triple point to -100°C based on thermodynamic calculations. Use is made of Ih e d efinilive ex pe rim e nlal value of the vapor pressure of waler a t its triple poinl recentl y oblain ed by Cuildner , Johnson, and Jones. A tab le is given of Ihe vapor press ure as a function of le mpe rature at O.I-d egree inl e rv a ls ove r Ihe range 0 10 -100°C, logel he r wilh Ihe values of Ih e lemperature derivative at I-degree inl e rvals . T he formu laLion is compa red with published ex perime nlal meas urement s and vapor pressure equaLi ons. It is eslima led Ih at Ihi s formu lalion predi cls Ihe vapor pressure of ice wit h an ove rall unce rtainl y Ihal vari es from 0.016 pe rce nl al the Iripl e poinl 10 0.50 percenl a l -100°C.K ey wo rd s: C lausius-C lapey ron equation; sa turation vapor press ure over ice; th e rm a l properti es of ice; vapor pressure; vapor pressure at th e triple point; vapor pressure of ice; waler vapor.
Introd uctionIn meteorology , air conditioning, a nd hygrometry, parti c ularly in the maintenance and use of standards and generators in calibrations and in prec is ion meas ure me nts, accurate values of the vapor pressure of the pure wa ter-s ubstan ce are essential. Because of this Wexle r and Greenspan [1]1 rece ntly published a ne w vapor pressure fo rmulation for the pure liquid phase, based on th e rm ody namic calc ulations, whic h is in excell e nt agreement from 25 to 100 DC with the prec ise measu reme nts of Stimson [2]. Wexler [3 ] s ubsequently re vised this formulation to ma ke it consis te nt with the defi nitive experi mental value of the vapor pressure of water at its triple point obtained by Guildner, Joh nson, and Jones . The purpose of this present paper is to apply a similar method of calculation to the pure ice phase and derive a ne w formulation for temperatures down to -100 DC. This new formulation for ice is constrained to yield th e id e ntical value of vapor pressure at the triple point as that given by the revised formulation for the liquid phase.A critical examination of the experimental vapor-pressure data of ice discloses the disconcerting fact that the dispersion among those values far exceeds modern accuracy re quirements. This dispersion arises, in part , from the inhe re nt difficulties ex p eri e nced by investigators in making precision measureme nts of these low pressures and from th e ambiguities in the te mpe rature scale used in th e early 19 00's when several major series of determinations were made. Thermodynamic calculations, based on acc urate thermal data, provide an alternate route to th e determination of vapor pressure. It is therefore not surprising that s uc h calculations have been made repeatedly for ice with varying degrees of success . It is interesting to note that these calculations have been preferred over the existent experimental vapor pressures, primarily because the calculations appear to yield less uncertainty than the measurements .
. DerivationThe Clau...