The issue of protein dynamics and its implications in the biological function of proteins are arousing greater and greater interest in molecular biology. In cryo-electron tomography experiments one takes several snapshots of a given biological macromolecule. In principle, a large enough collection of snapshots may then be used to calculate its equilibrium configuration in terms of the experimentally accessible degrees of freedom, and hence estimate its potential energy. Consequently, one could analyze the biological functions of biomolecules by directly accessing their dynamics. In this work, we analyze the results of cryo-electron tomography experiments on monoclonal murine IgG2a antibodies. With the aid of a novel software for image processing, we measure the equilibrium distribution of the angles which describe the configuration of the molecule. This helps us shed some critical light on recent results from X-ray crystallography. We then build a model of the antibody dynamics, which enables us to use the measured angular distribution in order to derive an explicit expression of the IgG potential energy. Finally, as a preliminary application of our results, we investigate the dynamical effects in the rate of formation of the antigen-antibody encounter complex. In particular, we suggest that the dynamics of antibodies operates in the direction of decreasing anticooperativity of the two antigen binding arms.