We have extended the method of modulated excitation, a small perturbat
ion kinetic method, to study ligand binding and conformational change
of hemoglobin tetramers with a single ligand bound. To restrict the ex
citation to the first ligand, only 1% of the hemes have bound CO, and
the remainder are kept unliganded. A detailed theory is presented whic
h agrees well with the experimental observations. This method of obser
ving ligand recombination also provides a novel and simple method for
determination of hemoglobin concentration. Additional relaxation proce
sses are also observed. By fitting ir dependently determined spectra t
o the spectra associated with the relaxations, these processes are ass
igned as thermal excitation and thermally driven protonation/deprotona
tion reactions. These added relaxations arise from the deoxy-Hb portio
n of the samples, and demonstrate that modulated excitation can be use
d effectively for temperature perturbation in the absence of photodiss
ociation. The spectra observed are not well described by the spectra o
f allosteric change, however, and we conclude that there is no signifi
cant mixing of quaternary states at the first ligation step. In an app
endix we present a derivation of the particular features seen in therm
ally modulated protonation reactions.