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The rate for complete two-photon annihilation of molecular positronium Ps is reported. This decay channel involves a four-body collision among the fermions forming Ps, and two photons of 1.022 MeV, each, as the final state. The quantum electrodynamics result for the rate of this process is found to be = 9.0 s. This decay channel completes the most comprehensive decay chart for Ps up to date.

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