Temperature and volume dependence of the thermal conductivity of solid neon

Abstract

The thermal conductivity~of solid natural neon has been measured by the linear-flow method for specimens isobarically frozen from the dense-fluid phase within a high-strength steel cell. By crossing the fusion curve at several different pressures to as high as 7 &(10' bars, crystalline samples with molar volumes between 11.16 and 13.35 cm'/mole were grown, and for each the isochoric variation of~vs T was determined at a set of temperatures in the experimentally accessible range between 5 and 40 K. The large magnitude of~and reproducibility of the results demonstrate that the present method of preparation and manipulation of solid neon consistently yields good-quality specimens. An analysis utilizing the zero-degree limit of the Debye temperature So to account for all volume dependence indicates that the array of data, when expressed in terms of the resistive mean free path, may be rendered into a single function of the inverse reduced temperature 80/T. The exponential variation of this common curve over more than 2 orders of magnitude is characteristic of three-phonon umklapp scattering and thereby gives support to Peierls s model of heat transport in dielectric crystals, More recent first-principles theoretical calculations are in qualitative agreement with experiment but yield conductivities somewhat below the observed values.

1I/‘Oumuamua as an N2 Ice Fragment of an exo‐Pluto Surface: I. Size and Compositional Constraints

“…Luna et al (2014) as an outlier therein, heat capacity, thermal conductivity at 30 K, β phase spectrum at 50cm −1 . 1, Silvera (1980); 2, Souers (1986), at 4.2 K; 3, Huebler and Bohn (1978), at 6 K; 4, Sandford and Allamandola (1993a); 5, Shakeel et al (2018), and references therein; 6, Hwang et al (2005); 7, Fenichel and Serin (1966), at 9 K; 8, Weston and Daniels (1984), at 9 K; 9, Gupta (1969); 10, Frels et al (1974);11, Öberg et al (2005); 12, Bisschop et al (2006);13, Collings et al (2015); 14, Fayolle et al (2016);15, Lipiński et al (2007);16, Trowbridge et al (2016), at 30 K;17, Cook and Davey (1976), at 30 K;18, Stachowiak et al (1994), at 30 K;19, Luna et al (2014), and references therein;20, Bierhals (2001); 21, Clayton and Giauque (1932);22, Stachowiak et al (1998); 23, Sandford and Allamandola (1988);24, Szmyrka-Grzebyk et al (1998);25, Freiman and Jodl (2004), and references;26, Bier and Jodl (1984), from peak in Raman; 27, Ramsey (1963); 28, Vogt and Pitzer (1976), at 21 K;29, Jeżowski et al (1997), at 20 K;30, Orbriot et al (1978), from peak in Raman; 31, Giauque and Egan (1937), heat capacity at 82 K; 32, Sandford and Allamandola (1990);33, Blum (1975); 34, Overstreet and Giauque (1937); 35, Romanova et al (2013); 36, Sandford and Allamandola (1993b); 37, Giauque and Stout (1936);…”

Influence of different nanoparticles embedded in crystalline carbon monoxide matrix on heat transfer in the nanocomposite

“…Finally, the difference of 1 U a and 2 U a parameters, between those obtain for pure carbon monoxide crystal and the investigated nanocomposites, may be related to the difference of pure and doped matrix lattice dynamics. Since 1 U a is considered as a measure of phonon interaction strength [14], the parameter bigger for the nanocomposite testify to higher anharmonicity of the lattice vibration while smaller 2 U a (being a measure of mean energy of a phonon taking part in U-process) to lowering of the maximum frequency vibrations of the matrix in such nanocomposites.…”

Temperature distributions in the laser-heated diamond anvil cell from 3-D numerical modeling

“…We chose a Pt foil (bulk modulus 260 GPa) within Ne insulation layers (bulk modulus $1 GPa), using an ambient-temperature thermal conductivity for Ne of 5.7 W/m K, appropriate for solid Ne at 10 GPa as calculated using the Leibfried-Schlomann equation 25 and using low-temperature measurements from Weston and Daniels. 26 We also assumed that the sample chamber did not change radius as it thinned. A change in the sample chamber radius would have only a minor effect on the temperature distribution as long as the sample chamber remained wider than the laser beam, since in typical experiments where the laser spot is smaller than the sample chamber the temperature drops to near-ambient well within the sample chamber radius.…”