hemoglobinemia
noun
he·mo·glo·bin·emia
variants:
or chiefly British haemoglobinaemia \ -ˌglō-bə-ˈnē-mē-ə 
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Medical Definition of hemoglobinemia
: the presence of free hemoglobin in the blood plasma resulting from the solution of hemoglobin out of the red blood cells or from their disintegration