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Measurements of the osmotic pressure in liquid mixtures of /sup 3/He and /sup 4/He near the lambda line and tricritical point

Technical Report ·
OSTI ID:5243744
Values of the concentration susceptibility near the lambda line and tricritical point in liquid mixtures of /sup 3/He and /sup 4/He have been calculated from measurements of osmotic pressure differences. Measurements were made by inducing a small /sup 3/He mole fraction difference ..delta..x between two chambers separated by a pressure transducer, and measuring the resulting osmotic pressure difference as a function of temperature. Osmotic equilibrium was established through a Vycor glass superleak, which for /sup 3/He mole fraction x > 0.55 functions not only in the superfluid phase but in portions of the normal fluid region of the phase diagram as well. Measurements were made at four /sup 3/He mole fractions, x = 0.59, x = 0.64, x = 0.68, and x = 0.70. In contrast with determinations from light scattering and vapor pressure measurements, the present measurements show a pronounced peak at the lambda transition for the two values of x less than the tricritical value (x/sub t/ = 0.675). The susceptibilities are consistent with ..cap alpha.. = 0 both above and below the lambda transition except at x = 0.64, where some combination of ..cap alpha.. and ..cap alpha..' greater than zero seems to be preferred. (The result ..cap alpha.. = 0 corresponds to a logarithmic divergence.) It is possible that this positive value of ..cap alpha.. or ..cap alpha..' represents the influence of tricritical effects. It should be emphasized that there is considerable ambiguity in our determination of ..cap alpha.., with acceptable least-squares fits corresponding to values of ..cap alpha.. between 0.0 and 0.2 being found at both concentrations, both above and below T/sub lambda/. The results appear to be consistent with the results of other experiments away from the lambda line, and also to be consistent with a simple tricritical scaling relationship.
Research Organization:
Minnesota Univ., Minneapolis (USA)
DOE Contract Number:
EY-76-S-02-1569
OSTI ID:
5243744
Report Number(s):
TID-27646; E-1569-143
Country of Publication:
United States
Language:
English