The coupling of two trans-bent double bonds is examined theoretically through ab initio calculations on
tetragermabutadiene H2GeHGeGeHGeH2. If a trans-bent arrangement is maintained for each GeHGeH2 fragment, there are two ways of coupling two trans-bent units, starting from an s-trans conformation
around the central bond. The first one preserves an all-trans arrangement of the four pyramidalized germanium
atoms. Along the rotational pathway around the central bond, this configuration has no symmetry (C
1), except
for dihedral angles of 0° (C
s
) or 180° (C
i
). As in butadiene, the potential curve along this coordinate is
symmetrical with respect to 0° and 180°, with a preferred s-trans form, t-1 and two equivalent gauche forms,
g-1, lying about 3 kcal/mol above in energy (MP4/DZP//SCF/DZP). The s-cis saddle point separating the
two gauche forms is higher in energy than the barrier separating the s-trans and gauche forms. In the second
coupling scheme, the molecule maintains a C
2 symmetry axis for any torsional angle, but the energy curve
no longer exhibits any symmetry along the entire [0−2π] rotational coordinate. As anticipated by simple
overlap arguments within the pseudo π orbital set, the two minima, reminiscent of s-trans and gauche
arrangements, are both skewed. The gauche conformer, g-2, is now below the trans one, t-2, but still above
t-1. The minima g-2 and t-2 are separated by two rotational barriers, depending on the direction of rotation.
Interconversion between these coupling configurations proceeds through planar inversion at one GeHGeH2
unit. Two pathways are possible, linking either the two s-trans forms or the two gauche forms. The barrier
along both the t-1→t-2 and g-2→g-1 pathways is calculated at 4 kcal/mol, in line with the barrier to planarity
found in isolated digermene. In both coupling schemes, adiabatic singlet−triplet separations are calculated at
13 kcal/mol. Intramolecular cyclization of g-2 into the cyclobutene form proceeds with a slight activation
barrier, and a large exothermicity of 27 kcal/mol. Alternatives in which one or both double bonds of the
butadiene form are replaced by a double hydrogen bridge are not favored. By contrast, the two bond-stretch
isomers of the bicyclobutane form are significantly lower in energy than the butadiene forms.