Heat capacity measurements of 4 He adsorbed on closed-end single-wall carbon nanotube bundles in the temperature range 1.5 K < T < 6 K are reported. Heats of adsorption Q st calculated from isotherms measured on the same calorimeter cell are included. We correlate Q st features with features of the helium heat capacity. We discuss possible interpretations of the current data. Single layer helium films physisorbed on exfoliated graphite have been studied in great detail, both experimentally and theoretically, for a long time [1][2][3][4][5]. These films provided, for the first time, realizations of several phases of matter in reduced dimensionality: two-dimensional (2D) gases and fluids [6][7][8], commensurate (CS) [9,10] and incommensurate (ICS) solids [11][12][13], as well as the phase transitions between them as a function of temperature and coverage.A new carbon material discovered in the last decade is carbon nanotubes [14,15]. In the form of bundles or ropes, they have a rather large surface area per gram of material which makes them suitable for physisorption studies using somewhat conventional techniques. Although many types of carbon nanotubes exist, considerable theoretical [16][17][18][19][20][21][22][23][24][25][26][27] and some experimental [28][29][30][31][32][33][34][35][36] work has been done on the adsorption of many rare gas atoms and simple molecules deposited on closed-end single-wall carbon nanotube (SWNT) bundles. The attraction of the SWNT bundles is that on the interstitial channels between three nanotubes and on the grooves between two nanotubes on the outside surface of a bundle, one-dimensional (1D) chains of atoms/molecules can be adsorbed. These chains may be in the form of 1D gases and fluids if mobile [17,21,26,27] and perhaps commensurate and/or incommensurate solids [37]. Further adsorption on the outside surface of the bundles should lead to their coating with a monolayer that physically resembles adsorption on graphite, perhaps with different properties due to the curvature of the graphene surfaces, finite size, and confinement between grooves of the bundle [37]. A crossover from 1D to 2D or 3D properties is then possible, given that one can start with 1D chains that eventually, as a function of coverage and/or temperature, interact with each other in 2D and 3D space.In this article we report on initial studies of the heat capacity of 4 He on SWNT bundles as a function of temperature and volume of gas adsorbed (coverage); these measurements are complemented by a few volumetric adsorption isotherms on the same bundles. Two previous somewhat indirect measurements of the heat capacity of 4 He on SWNT bundles have appeared [38,39]. In both cases, the prime intent of the measurement was to obtain the heat capacity of the nanotubes; 4 He was used as exchange gas to cool the bundles and/or the calorimeter and inner parts of the cryostat.