We have experimentally investigated the free expansion of a Bose-Einstein condensate in an array of two-dimensional traps created by a one-dimensional optical lattice. If the condensate held in a magnetic trap is loaded adiabatically into the lattice, the increase in chemical potential due to the additional periodic potential is reflected in the expansion of the condensate after switching off the magnetic trap. We have calculated the chemical potential from measurements of the transverse expansion of the condensate as a function of the lattice parameters. PACS number(s): 03.75. Fi,32.80.Pj The properties of Bose-Einstein condensates (BECs) in lower-dimensional trapping potentials have recently attracted increasing interest. Both theoretical and experimental investigations have been aimed at studying the differences between 1D [1-7] and 2D traps [8][9][10][11][12][13][14]4,6,7] with regard to the static and dynamic behaviour of BECs in such potentials. A thorough understanding of these properties is important as a prerequisite for predicting, e.g., the evolution of a BEC loaded into 1D and 2D waveguides. Condensates in 2D and 1D have been realized in magnetic traps starting from a 3D situation by changing the aspect ratio of the trap and the number of atoms in the condensate [4]. In order to realize a 1D condensate, optical dipole traps have been used to achieve the necessary asymmetry between the trapping frequencies [2,3]. Similarly, 2D condensates can be created in an array of pancake-shaped traps provided by the periodic potential of a 1D optical lattice [8,14]. For large lattice depths, i.e. in the tight-binding regime, the trapping frequencies along the lattice direction exceed those of the magnetic trap by orders of magnitude and the 1D lattice hence represents an array of 2D traps in which the motion along the direction of the array is frozen. Recently, Pedri et al. [13] have calculated the variation in chemical potential when the depth of the periodic potential is increased.In this paper, we report on experiments with magnetically trapped BECs loaded into a one-dimensional optical lattice and subsequently allowed to expand freely inside the lattice. After the creation of an array of 2D traps within the 1D optical lattice, the magnetic trap is suddenly switched off. The condensate is then free to expand in the radial directions whilst still being confined in the lattice direction. The measured expansion allowed us to infer the chemical potential and to test its dependence on the lattice parameters.Our experimental setup for creating Bose-Einstein condensates of rubidium atoms and loading these into 1D optical lattices has been described in detail elsewhere [15,16]. Briefly, we obtain BECs of ≈ 1 − 3 × 10 4 rubidium atoms inside a triaxial TOP-trap which are then loaded into a 1D optical lattice created by two independently controllable, linearly polarized Gaussian laser beams of wave-vector k and waist w = 1.8 mm, detuned by 25 − 40 GHz from the rubidium resonance line and propagating at an angle θ wit...