The accurate crystal structure determinations of MeCbl (1), CNCbl.2LiCl (2), and CNCbl.KCl (3), based on synchrotron diffraction data collected at 100 K and using high-quality single crystals, are reported. Refinements gave R1 indices of 0.0834 (1), 0.0434 (2), and 0.0773 (3). The influence of the water of crystallization and ion content on the crystal packing of these and other cobalamins (XCbl) is discussed, and a relationship between the crystal packing and the corrin side chain conformations is presented. An analysis of the bond lengths within the corrin moiety, based on 13 accurate structures with several X groups, shows that the trend of the C-C and C-N distances can be interpreted in terms of electronic and steric factors. The variation in structural, NMR and IR spectroscopic, and electrochemical properties are compared with those of cobaloximes, the B12 model, when X is varied. This comparison indicates that the pi-back-donation from metal to the CN axial ligand and the transmission of the trans influence of the X ligand are more effective in cobalamins than in cobaloximes. These findings are consistent with a significantly greater availability of electron charge on Co in cobalamins, and, hence, a semiquantitative evaluation of the electronic difference between the cobalt centers in the two systems is allowed.

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A new implementation of the vibrational self-consistent field (VSCF) method is presented on the basis of a second quantization formulation. A so-called active terms algorithm is shown to be a significant improvement over a standard implementation reducing the computational effort by one order in the number of degrees of freedom. Various types of screening provide even further reductions in computational scaling and absolute CPU time. VSCF calculations on large polyaromatic hydrocarbon model systems are presented. Further, it is demonstrated that in cases where distant modes are not directly coupled in the Hamiltonian, down to linear scaling of the required CPU time with respect to the number of vibrational modes can be obtained. This is illustrated with calculations on simple model systems with up to 1 million degrees of freedom.