The radial thermal expansion α r of bundles of single-walled carbon nanotubes saturated with 4 He impurities to the molar concentration 9.4% has been investigated in the interval 2.5-9.5 K using the dilatometric method. In the interval 2.1-3.7 K α r is negative and is several times higher than the negative α r for pure nanotube bundles. This most likely points to 4 He atom tunneling between different positions in the nanotube bundle system. The excess expansion was reduced with decreasing 4 He concentration.
Introduction.Carbon nanotubes, noted for their unique geometry and unusual physical properties, are promising materials for technological applications and fundamental research on low-dimensional objects. Previously [1-4] we used the dilatometric method to investigate the low temperature radial thermal expansion of carbon nanotube (CNT) bundles and the effect of atomic (Xe) and molecular (H 2 , N 2 ) impurities on it. A number of effects have been detected, which are induced, on the one hand, by low frequency vibrations of individual CNTs and, on the other hand, by the collective behavior of the tubes forming a bundle. The vibrational spectrum of CNT bundles is also affected by impurities localized both at the surface of bundles and inside them. Since CNT walls form a quasi-two-dimensional system, their transverse vibrations perpendicular to the nanotube surface are characterized by negative Gruneisen coefficients [5] and hence make a negative contribution to the radial thermal expansion of the nanotubes. This contribution is dominant at the lowest temperatures [1,2]. In pure CNT bundles it leads to negative values of the radial thermal expansion at T = 2-5 K. It has been found [2-4] that saturation of CNT bundles with gas impurities suppresses the negative contribution and increases drastically the radial thermal expansion coefficient α r (T) at T 3 K. It was assumed that the impurity molecules deposited on the CNT surface and inside the tubes forming a bundle could change the structure of the system and hence the behavior of its properties from two-dimensional to threedimensional. The impurity molecules dampen the low frequency transverse vibrations of the CNT walls and thus suppress the negative contribution to the thermal expansion. It was found [2][3][4] that the temperature dependences α r (T) taken on CNT bundles saturated with gas impurities had peaks which were attributed to a spatial redistribution of the impurity molecules in the grooves and on the surface of CNT bundles.It is known that the 4 He impurity has quite a significant effect on the thermal and structural properties of carbon nanomaterials, including fullerite C 60 [6].In this study we investigated the radial thermal expansion of bundles of single-walled carbon nanotubes with closed ends (c-SWNTs) saturated with 4He using the dilatometric method. The temperature interval was 2.1-9.5 K.