The mobility of positive ions in essentially pure 3He and in solutions with 100, 300, 1000, 3000, and 10,000 ppm of 4He has been studied at pressures of 60 Torr, 10, 20, and 25.6 bar. For temperatures below about 100 mK the pureliquid mobility data are consistent with a ln (T 0/T) behavior except at the very lowest temperatures, where field-dependent effects may cause departures; both phenomena are in agreement with recent calculations of Bowley based on the Josephson-Lekner formalism. In the more concentrated solutions an increase in the ion radius (corresponding to a decrease in the mobility) is observed starting below ~200mK; this is interpreted as a polarization-potentialinduced phase separation resulting in a liquid 4He-rich “halo” about the solid ion core. At still lower temperatures a vanishing 4He content causes the solution data to rather abruptly rejoin the pure-liquid data. At still higher 4He concentrations additional very low-mobility species are observed which are likely ions with large metastable halos produced by a large 4He concentration at the field-emission tip where the ions are created.
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References
A. L. Fetter, in The Physics of Liquid and Solid Helium, Part I, K. H. Benneman and J. B. Ketterson, eds. (Wiley, New York, 1976), p. 207.
A. C. Anderson, M. Kuchnir, and J. C. Wheatley, Phys. Rev. 168, 261 (1968).
M. Kuchnir, Ion Mobility in Liquid 3He Below 1 K, Thesis, University of Illinois (1966); available from University Microfilms, Ann Arbor, Michigan.
M. Kuchnir, J. B. Ketterson, and P. R. Roach, J. Low Temp. Phys. 19, 531 (1975).
M. Kuchnir, J. B. Ketterson, and P. R. Roach, in Low Temperature Physics—LT 13, K. D. Timmerhaus, W. J. O'Sullivan, and E. F. Hammel, eds. (Plenum, New York, 1974), Vol. 1, p. 474.
C. N. Barber, P. V. E. McClintock, I. E. Miller, and G. R. Pickett, Phys. Lett. 54A, 241 (1975).
A. I. Ahonen, J. Kokko, O. V. Lounasmaa, M. A. Paalanen, R. C. Richardson, W. Schoepe, and Y. Takano, Phys. Rev. Lett. 37, 511 (1976); J. Low Temp. Phys. 30, 205 (1978).
P. D. Roach, J. B. Ketterson, and P. R. Roach, Phys. Rev. Lett. 39, 626 (1977).
P. D. Roach, J. B. Ketterson, and P. R. Roach, in Quantum Fluids and Solids, S. B. Trickey, E. D. Adams, and J. W. Dufty, eds. (Plenum, New York, 1977), p. 259.
P. D. Roach, J. B. Ketterson, Pat R. Roach, Phys. Lett. 63A, 273 (1977).
K. R. Atkins, Phys. Rev. 116, 1339 (1959).
K. R. Atkins, Liquid Helium, Proceedings of the Enrico Fermi International School of Physics, Course XXI, G. Careri, ed. (Academic Press, New York, 1963), p. 403.
T. J. Sluckin, Phys. Lett. 64A 211 (1977).
L. D. Landau and E. M. Lifshitz, Statistical Physics (Academic Press, New York, 1958).
W. F. Saam and J. P. Laheurte, Phys. Rev. A 4, 1170 (1971).
N. F. Mott and J. Lekner, unpublished.
H. T. Davis and R. Dagonnier, J. Chem. Phys. 44, 4030 (1966).
H. Gould and S. Ma, Phys. Rev. 183, 338 (1969).
L. Kramer, Phys. Rev. A 1, 1517 (1970).
B. D. Josephson and J. Lekner, Phys. Rev. Lett. 23, 111 (1969).
R. M. Bowley, J. Phys. C: Solid State Phys. 4, L207 (1971).
R. Abe and K. Aizu, Physics 123, 10 (1961); R. C. Clark, Proc. Phys. Soc. (Lond.) 82,785 (1963); G. T. Schappert, Phys. Rev. 168, 162 (1968).
R. M. Bowley, J. Phys. C: Solid State Phys. 11, 75 (1978).
A. L. Fetter and J. Kurkijärvi, Phys. Rev. B15, 4272 (1977).
R. M. Bowley, J. Phys. C: Solid State Phys. 11, 1361 (1978).
A. C. Mota, Rev. Sci. Instr. 42, 1541 (1971).
P. V. E. McClintock, Phys. Lett. 29A, 453 (1969).
P. W. Alexander, C. N. Barber, P. V. E. McClintock, and G. R. Pickett, Phys. Rev. Lett. 39, 1544 (1977).
A. J. Melmed, Surface Sci. 8, 191 (1967).
R. H. Sherman, in Proceedings of the 10th International Conference on Low Temperature Physics, M. P. Malkov, ed. (Moscow, 1966), Vol. 1, p. 188.
D. F. Brewer, in The Physics of Liquid and Solid Helium, Part II, K. H. Bennemann and J. B. Ketterson, eds. (Wiley, New York, 1978), p. 640.
H. Namaizawa, to be published.
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Work supported by the U.S. Energy Research and Development Administration and the National Science Foundation under Grants DMR-74-12186 and DMR-76-21370.
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Roach, P.R., Ketterson, J.B. & Roach, P.D. Positive-ion mobility in dilute solutions of 4He in 3He. J Low Temp Phys 34, 169–195 (1979). https://doi.org/10.1007/BF00118554
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DOI: https://doi.org/10.1007/BF00118554