“…The method based on the work of Kirtman [13], Lees and Baker [14] and Herbst et al [15] takes its name from the choice of the axis system, the rho-axis system, which is related to the principal axis system by a rotation chosen to eliminate the À2FP c q x J x and À2FP c q y J y coupling terms in the kinetic energy operator where F is the internal rotation constant, P c is the internal angular momentum, J x and J y are the usual x and y components of the global rotation angular momentum and q is a vector that expresses the coupling between the angular momentum of the internal rotation P c and the global rotation J. Unlike XIAM, BELGI-C s which was used successfully to describe the spectra for internal rotors with very low internal rotation barriers (V 3 ffi 25 cm À1 ) such as acetamide [16], and also for peptide mimetics such as the ethylacetamidoacetate molecule [17] and the N-acetyl alanine methyl ester [18] allows for fitting many higher order terms not only in the total angular momentum J, but also in the angular momentum of the internal rotor P c and in cross-terms between them. BELGI-C s uses a two-step diagonalisation procedure in which the first step is the diagonalisation of the torsional Hamiltonian consisting of the one dimensional potential function V(c) together with a torsionrotation kinetic operator diagonal in K, the rotational quantum number.…”