Thermal expansion of solid solutions Kr-CH4 at temperatures of liquid helium
A.N. Aleksandrovskii, V.G. Gavrilko, A.V. Dolbin, V.B. Esel'son, V.G., Manzhelii, B.G. Udovidchenko (Institute for Low Temperature Physics and, Engineering of the National Academy of Sciences of Ukraine)

TL;DR
This study investigates how methane impurities affect the thermal expansion of solid krypton at very low temperatures, revealing negative contributions linked to molecular state changes.
Contribution
It provides new insights into the negative thermal expansion effects of CH4 impurities and estimates their contributions based on molecular occupancy and cluster interactions.
Findings
Negative contribution of CH4 to thermal expansion identified
First excitational rotational states of CH4 molecules determined
Impurity effects modeled assuming independent contributions
Abstract
A negative contribution of the CH4 impurity to the thermal expansion of the solution has been revealed in dilatometric studies of solid Kr+0.76% CH4, Kr+5.25% CH4 and Kr+10.5% CH4 solutions at 1-23 K. It is shown that the negative contribution results from changes in the occupancy of the ground state of the A-modifications of isolated CH4 molecules. Assuming that the CH4 impurity singles and clusters contribute to the thermal expansion independently, we can estimate their contributions. The contribution of the singles to the thermal expansion of the solid solution is negative. The energies of the first excitational rotational states were determined for singles and two-body and three-body clusters of CH4 molecules.
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