In this work a new curvilinear coordinate
system is presented for
the comprehensive description of polytopal rearrangements of N-coordinate compounds (N = 4–7)
and systems containing an N-coordinate subunit. It
is based on normal vibrational modes and a natural extension of the
Cremer–Pople puckering coordinates (J. Am. Chem. Soc.1975971354) together with
the Zou–Izotov–Cremer deformation coordinates (J. Phys. Chem. A20111158731) for ring
structures to N-coordinate systems. We demonstrate
that the new curvilinear coordinates are ideal reaction coordinates
describing fluxional rearrangement pathways by revisiting the Berry
pseudorotation and the lever mechanism in sulfur tetrafluoride, the
Berry pseudorotation and two Muetterties’ mechanisms in pentavalent
compounds, the chimeric pseudorotation in iodine pentafluoride, Bailar
and Ray-Dutt twists in hexacoordinate tris-chelates as well as the
Bartell mechanism in iodine heptafluoride. The results of our study
reveal that this dedicated curvilinear coordinate system can be applied
to most coordination compounds opening new ways for the systematic
modeling of fluxional processes.