The binding of AMP to activator site N and to inhibitor site I in glycogen phosphorylase b has been characterized by calorimetry, potentiometry and ultracentrifugation in the pH range 6.5-7.5 at 25 degrees C (mu = 0.1). Calorimetric titration data of phosphorylase b with adenosine 5'-phosphoramidate are also reported at pH 6.9 (T = 25 degrees C, mu = 0.1). Calorimetric curves have been analyzed on the basis of potentiometric and sedimentation velocity results to determine thermodynamic quantities for AMP binding to the enzyme. The comparison of calorimetric titration data of AMP and adenosine 5'-phosphoramidate at pH 6.9 supports the hypothesis previously suggested that the dianionic phosphate form of the nucleotide preferentially binds to the allosteric activator site. The thermodynamic parameters for AMP binding to site N are as follows: delta G0 = -22 kJ mol-1, delta H0 = -34 kJ mol-1 and delta S0 = -40 J mol-1 K-1. The binding of the nucleotide to site I was found to be strongly dependent on the pH. This behaviour may be explained in terms of coupled protonations of three groups having pKa values of 6.0, 6.0 and 6.1 in the unbound form and 7.0, 7.5 and 7.2 in the enzyme-nucleotide complex. The thermodynamic parameters for nucleotide binding to site I for the enzymatic form in which all the modified groups are completely deprotonated or protonated have been calculated to be: delta G0 = -7.7 kJ mol-1, delta H0 = -28 kJ mol-1 and delta S0 = -68 J mol-1 K-1 and delta G0 = -28 kJ mol-1, delta H0H = -10 kJ mol-1 and delta S0H = 61 J mol-1 K-1, respectively. These results suggest that attractive dispersion forces are of primary significance for AMP binding to activator site N, although electrostatic interactions act as a stabilizing factor in the nucleotide binding. The protonation states of those residues of which the pKa values are modified by AMP binding to site I highly influence the thermodynamic parameters for the nucleotide binding to this site.