Abstract: A spectrophotometric method is described of quantitatively determining the concentration of a dilute component in either a clear or a strongly light-scattering environment containing same in unknown concentration together with a reference component of known concentration, by a series of contemporaneous radiation-directing and measurement steps of radiation of selected varying wavelengths. Specific applications are disclosed involving the in situ, in vivo, non-invasive spectrophotometric determination of blood-borne as well as tissue species, e.g., hemoglobin, and oxyhemoglobin, and intra-cellular enzyme cytochrome c oxidase, in human body parts such as fingers, hands, toes, feet, earlobes, etc., as well as organs such as the brain, skeletal muscle, liver, etc.