A method and apparatus for the continuous sublimation of a substance includes cascading a material containing a substance capable of sublimation, such as water, between a plurality of trays vertically stacked within a processing zone provided within a processing chamber. A substantially atmospheric environment is maintained within the processing zone at a temperature whereby the substance sublimes forming a sublimate within the environment. The environment containing the sublimate is contacted with a drying agent such as a desiccant to maintain the environment whereby the substance sublimes at substantially atmospheric pressure and at the controlled temperature.

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