https://doi.org/10.1351/goldbook.08705
Part of the solution of the matrix equation of normal coordinate analysis, \(\boldsymbol{G\!F\!L} = \boldsymbol{L \lambda}\). Each element \(L_{ik}\) of \(\boldsymbol{L}\) is a vibrational eigenvector, and gives the change in internal coordinate \(R_{i}\) during unit change in the normal coordinate \(Q_{k}\), as shown in matrix form by
\(\boldsymbol{R} = \boldsymbol{LQ}\), i.e., \(L_{ik} = \partial R_{i}/\partial Q_{k}\).
Eigenvectors are sometimes expressed in terms of symmetry coordinates or Cartesian coordinates.
\(\boldsymbol{R} = \boldsymbol{LQ}\), i.e., \(L_{ik} = \partial R_{i}/\partial Q_{k}\).
Eigenvectors are sometimes expressed in terms of symmetry coordinates or Cartesian coordinates.
Note:
SI unit: \(\pu{kg^{-1/2}}\). Common unit: \(u^{-1/2} = \pu{2.45400E13 kg^{-1/2}}\).
SI unit: \(\pu{kg^{-1/2}}\). Common unit: \(u^{-1/2} = \pu{2.45400E13 kg^{-1/2}}\).