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We are conducting a spectral line survey of the Orion hot core in the 600-720 GHz submillimeter band. These observations are being made at the Caltech Submillimeter Observatory as a continuation of lower frequency surveys. Higher frequency observations provide complementary information on higher temperature phases of the gas cloud. With a $10''$ beam, the observations should be sensitive primarily to the hot core rather than the extended plateau. Preliminary results will be presented.