A polarizing apparatus has a thermally conductive partitioning system in a polarizing cell. In the polarizing region, this thermally conductive partitioning system serves to prevent the elevation of the temperature of the polarizing cell where laser light is maximally absorbed to perform the polarizing process. By employing this partitioning system, increases in laser power of factors of ten or more can be beneficially utilized to polarize xenon. Accordingly, the polarizing apparatus and the method of polarizing 129Xe achieves higher rates of production.