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We examine the performance of a TPC as a gamma-ray telescope above thepair-creation threshold. The contributions to the photon angular resolution arestudied and their dependence on energy is obtained. The effective area perdetector unit mass for such a thin detector is the conversion mass attenuationcoefficient. The differential sensitivity for the detection of a point-likesource is then derived. Finally, the measurement of track momentum fromdeflections due to multiple scattering is optimized.  These analytical results are exemplified numerically for a few sets ofdetector parameters. TPCs show an impressive improvement in sensitivity withrespect to existing pair-creation-based telescopes in the [MeV - GeV] energyrange, even with the modest detector parameters of this study. In addition, gasTPCs allow an improvement in angular resolution of about one order ofmagnitude.

TPC in gamma-ray astronomy above pair-creation threshold