How can the geometry of a complex be predicted using magnetic behavior according to Valence Bond Theory?

Valence Bond Theory (VBT) proposes a correlation between the magnetic behavior of coordination compounds and their geometry. Magnetic data, obtained through experiments like magnetic susceptibility measurements, can be used to predict the geometry. Diamagnetic complexes with no unpaired electrons often indicate octahedral geometry, while paramagnetic complexes with unpaired electrons suggest alternative geometries. For example, in [Co(NH₃)₆]³⁺, diamagnetism signifies octahedral geometry due to the absence of unpaired electrons. In [CoF₆]³⁻, paramagnetism indicates an outer orbital complex with sp³d² hybridization, suggesting a distorted octahedral geometry with directional properties in the ligand-metal interactions.