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The microstructure of deformed Mo-34a/oRe alloys has been correlated with normal state resistivity and superconducting properties. A model based on the dislocation cell structure is able to account for the variation of normal state resistivity, upper and lower critical fields, and magnetic hysteresis, in the superconducting state. The superconducting properties are shown to be dominated by the presence of high-resistivity cell walls. In paticular the movement of quantized flux vortices is hampered by an interaction with the interfaces of this cell structure.