The hyperfine structure of
6snd1D2 Rydberg states of
135,137Ba is reported for principal quantum numbers ranging between
n=10 and
n=50. From our data, singlet-triplet mixing coefficients have been deduced. A three-channel quantum-defect model has been used to analyze the resonance in singlet-triplet mixing of
6snd1D2and3D2 Rydberg states in the vicinity of the
5d7d1D2 perturber. For the determination of the scattering matrix, hyperfine-structure data were found to be essential. Good agreement has been achieved between calculated and experimental singlet-triplet mixing coefficients.