[en] ¹⁶¹Dy time-domain synchrotron Mössbauer spectroscopy (SMS), just recently presented as a novel tool to investigate Dy(III)-based single-molecule magnets (SMMs), has now been applied on two polynuclear Dy₆-based wheel compounds possessing special features of single-molecule toroics (SMTs). The magnitude of the magnetic hyperfine field revealed for the Dy₆ ring system [Dy₆(teaH)₆(NO₃)₆]·8MeOH is with B₀ = 574.3(5) T characteristic for Dy(III) with a ⁶H_15/2 ground state. The ligand substituted compound [Dy₆(Me-teaH)₆(NO₃)₆]·6MeCN possesses within the experimental errors the same magnetic hyperfine characteristics (B₀ = 574.9(5) T). Consequently, the herein studied organic ligand variation has no perceptible influence on the magnetic hyperfine field sensed by the ¹⁶¹Dy(III) nuclei in these particular homometallic Dy(III)₆-wheels.