A compari so n o f R c3 and H c' vapor p ress urcs, (P a, P 4 ), has b een made i n a n apparatus d es igned to r edu ce the n umber and magn itud e of correct ions a ssociated w it ll t h e r efiu xin g fi lm in t il e H e' prC'ss u re sens ing t ub e and t he attached bUlb . The cr itical pressure of H ea has bee n red ete rm in ed to be at 873 .0 ± 1.5 mm Hg a t 0° C and standard gravity; t hc correspo nd ing temperatu re as meas ured by a H e' thermometer is 3.3240 ± 0.001 8° Ie on the 1958 H e'scale. T hese (P a, p .) compa riso ns and the 1958 H e' scale are t he basis of t h e 1962 H ea scale of temperat ures d erived and evaluated in the papers follow in g t his o ne.E mp irical inte rpolation eq uations conta ining only P a and P, a re d escribed by means of wh ich exist ing P, measuremen ts may be con ver ted to an eq ui vale nt P a. A comparison has bee n made between t hi s interpolatio n a nd a convers ion in wh ich t h e 1958 H e' and 1962 H ea scalcs are used as parameters. D e viat ions between t he two p rocedures ar c w it hi n t h e es t imated erro rs of t he (P a, P,) m eas urements.I n subs id ia ry experim ents on techn iq ues for H e' t hermometry a typical vapor press urc J;lu lb a rra ngement w as tested. It is shown t h at t h e )'eflu xing film introd uces a heat fl ux, Qr, a nd a res ult in g Ieapi tza t emperat ure drop, t; T k, between t he H e II a nd its con tain er, whi ch may a moun t to ma ny m illici egrees.T he feasibility of calculatin g t; T k fo r a part icular He' vapor press ure b ul b was stud ied.T h e necess ity of meas uri ng 6. 7\ /(h at least once in situ is p oi nted out. In add it io n, it is necessa ry to r ed eter min e t he fil m fl ow rate per iod ically at t he sa me time t hat H e' vapor p ress ure m eas u re me nts are being mad e.