Molecular Structures of Digermanes
only (C). The MP2 and B3LYP levels employing the same basis
sets gave very similar results for geometry optimizations, as well
as for energy calculations. Therefore, calculations including triple-ꢀ
basis sets were only performed at the B3LYP level. Generally, all
DFT calculations were performed using the B3LYP functional. For
simplification, the methods will be referred to as DFT/basis set and
compared to MP2/basis set. Vibrational frequency calculations were
performed to determine the nature of the stationary points. Minima
possess all real frequencies, while transition structures have a single,
imaginary frequency. No symmetry restraints were used. Analytic
second derivatives of the energy with respect to nuclear coordinates
calculated for 1, 2, and 3 gave the force fields, which were used to
provide estimates of the amplitudes of vibration (uh1)22 and the
curvilinear corrections (kh1)22 for use in the GED refinements.
(Methods used for each compound are described in the Supporting
Information.)
Figure 1. Molecular structure of Me3GeGeMe3 (1) showing a perspective
view with atom numbering.
Gas Electron Diffraction Measurements. Data were collected
for 1–3 using the Edinburgh gas-phase electron diffraction ap-
paratus.23 An accelerating voltage of around 40 kV was used,
representing an electron wavelength of approximately 6.0 pm.
Scattering intensities were recorded on Kodak Electron Image films
at nozzle-to-film distances and sample and nozzle temperatures
given in Table S1. The weighting points for the off-diagonal weight
matrices, correlation parameters, and scale factors for both camera
distances for all compounds are given in Table S1. The electron
wavelengths as determined from the scattering patterns for benzene,
which were recorded immediately after the patterns for the sample
compounds, are also included. The scattering intensities were
measured using an Epson Expression 1680 Pro flatbed scanner and
converted to mean optical densities as a function of the scattering
variable, s, using an established program.24 The data reduction and
the least-squares refinement processes were carried out using the
ed@ed program25> employing the scattering factors of Ross et
al.26
Raman Spectroscopy. Raman spectra were recorded using a
Jobin Yvon T64000 spectrometer equipped with a triple mono-
chromator and a CCD camera. The samples were held in 1 mm
glass capillary tubes and irradiated by 532 nm green light from a
frequency-doubled Nd:YAG laser (DPSS model 532–20, 20 mW).
Spectra were recorded in the solid state for 2. Liquid spectra were
recorded for pure samples of 1, 2, and 3 and solutions of 1 and 2.
A continuous-flow cryostat (Oxford Instruments OptistatCF using
liquid nitrogen for cooling) was employed for the low-temperature
measurements.
in a yield of 50%. The purity of all compounds was checked with
1H and 13C NMR and Raman spectroscopy, and the information
was compared with literature data.16
Crystallography. The crystal structure of 2 was determined by
mounting a crystal on the tip of a glass fiber. Data collection was
performed with a BRUKER-AXS SMART APEX CCD diffracto-
meter using graphite-monochromated Mo KR radiation (0.71073
2
Å). The data were reduced to F0 and corrected for absorption
effects using SAINT18 and SADABS,19 respectively. The structure
was solved by direct methods and refined by the full-matrix least-
squares method (SHELXL97).20 All non-hydrogen atoms were
refined with anisotropic displacement parameters. All hydrogen
atoms were located in calculated positions to correspond to standard
bond lengths and angles.
Computational Methods. All geometry optimizations and
energy minimizations, as well as the calculations of IR and Raman
frequencies, were performed using the Gaussian0321 package at
the DFT and the MP2 levels of theory. Extensive searches of the
torsional potentials of all three compounds were undertaken at the
B3LYP and MP2 levels of theory, employing the SDD (hereafter
referred to as basis set A) and 6–31+G* (B) basis sets to locate all
minima. In some cases mixed basis sets were used, applying
6–31+G* to C, H, and Cl and SDD to Ge. These mixed basis sets
are referred to as A#. The aug-cc-pVTZ-PP basis set for Ge,
including quasi-relativistic Stuttgart Dresden effective-core poten-
tials (ECP), and aug-cc-pVTZ for C, H, and Cl were employed for
optimizations and energy calculations at the B3LYP level of theory
(18) SAINTPLUS: Software Reference Manual, version 6.45; Bruker-AXS:
Madison, WI, 1997–2003.
Results
(19) Blessing, R. H. Acta Crystallogr. A 1995, 51, 33–38; SADABS, version
2.1; Bruker AXS: Madison, WI, 1998.
Computational Methods. Me3GeGeMe3 (1). The PES
of 1 was probed by scanning the torsional angle around the
central Ge-Ge bond at the DFT/A and A#, DFT/B, MP2/A,
and MP2/B levels of theory. A geometry optimization at the
DFT/C level was also performed. In each case, a staggered
structure was found to be the most favorable conformation
(20) Sheldrick, G. M. SHELX97, Programs for Crystal Structure Analysis,
release 97–2; Universität Göttingen: Göttingen, Germany, 1998.
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M. A.; Cheeseman, J. R.; Montgomery, J. A., Jr.; Vreven, T.; Kudin,
K. N.; Burant, J. C.; Millam, J. M.; Iyengar, S. S.; Tomasi, J.; Barone,
V.; Mennucci, B.; Cossi, M.; Scalmani, G.; Rega, N.; Petersson, G. A.;
Nakatsuji, H.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa,
J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Klene,
M.; Li, X.; Knox, J. E.; Hratchian, H. P.; Cross, J. B.; Bakken, V.;
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(24) Fleischer, H.; Wann, D. A.; Hinchley, S. L.; Borisenko, K. B.; Lewis,
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