Thermal Rearrangements of Perchlorohexatrienes
dices: R1 = 0.0410, wR2 = 0.1029, the final difference Fourier map
showed minimum and maximum values of –0.62 and 0.62 eÅ–3,
respectively.
gies with the thermal corrections calculated at the (U)B3LYP/6-
31G(2d) level yielded the ∆H298(MP2) values listed in Tables 1 and
2. Finally, improved energies for the system described in Scheme 1
were also obtained with a slight modification of the G3(MP2)B3
compound method.[15] One deviation from the original recipe con-
cerns the use of B3LYP/6-31G(2d) [instead of B3LYP/6-31G(d)]
geometries as well as the use of the same thermochemical correc-
tions as before. Given the possibility of intermediates with some
open-shell character, the QCISD(T)/6-31G(d) single-point calcula-
tions in the original recipe were replaced by CCSD(T)/6-31G(d)
calculations. The use of CCSD(T) [instead of QCISD(T)] calcula-
tions has previously been found by several authors to yield signifi-
cant improvements in the calculations of open-shell systems.[19–21]
The final enthalpies obtained from this procedure are nevertheless
termed “H298(G3MP2B3)” in order to reflect the spirit of the origi-
nal recipe. All calculations have been performed with GAUSSIAN
03.[22]
X-ray Structure Determination of 3: Performed with a SMART
CCD Bruker Nonius instrument using a colorless block. Crystal
data: C6Cl8, M = 355.66 gmol–1, 0.25ϫ0.35ϫ0.45 mm3, mono-
clinic, space group P21/n, Mo-Kα, graphite monochromation:
0.71069 Å, T = 295 K, unit cell dimensions: a = 5.914(6), b =
13,8758(7), c = 7.0237(13) Å, β = 90.088(2)°, V = 592.9(1) Å3, Z =
2, dcalc = 1.992 gcm–3, absorption µ = 1.853 mm–1, the Θ range for
data collection was 2° to 28.3°, and the index ranges were
–7ՅhՅ7, –18ՅkՅ18, and –9ՅlՅ9. Number of reflections col-
lected: 7152; independent reflections: 1464 [Rint = 0.0638]. The
structure was solved by direct methods (program SIR 92, refine-
ment by SHELXL-97).[18]
Structure refinement was performed by full-matrix least-squares on
2
127 parameters, weighted refinement:
w
=
1/[σ2(Fo
)
+
(0.0456ϫP)2 + 0.07ϫP] with P = [max(Fo2,0) + 2ϫFc ]/3, and all
2
Supporting Information (see also the footnote on the first page of
this article): Theoretical data, structures and energies of minima
and transition states.
non-hydrogen atoms improved with anisotropic refinement. Good-
ness-of-fit on
S = 0.992, maximum change of parameters
0.001ϫe.s.d, final R indices: R1 = 0.0278, wR2 = 0.0763, the final
difference Fourier map showed minimum and maximum values of
–0.27 and 0.26 eÅ–3, respectively.
Acknowledgments
X-ray Structure Determination of 4: Performed with an Enraf–Non-
We would like to thank Dr. Dieter Schollmeyer, Johannes Guten-
berg-University of Mainz, for solving the X-ray structures.
ius Turbo-Cad4 instrument equipped with a rotating anode using
a
red needle. Crystal data: C6Cl6,
0.16ϫ0.16ϫ1.392 mm3, monoclinic, space group P21/c, Cu-Kα,
graphite monochromation: 1.54180 Å, 143 K, unit cell
M =
284.75 gmol–1,
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T
=
dimensions: a = 16.318(2), b = 3,7721(9), c = 16.702(2) Å, β =
118.954(5)°, V = 899.6(3) Å3, Z = 14, dcalc = 2.103 gcm–3, absorp-
tion µ = 16.89 mm–1, corrected with 6 surfaces, the Θ range for
data collection was 2° to 73°, and the index ranges were 0ՅhՅ20,
–4ՅkՅ0, and –20ՅlՅ18. Number of reflections collected: 2170;
independent reflections: 1806 [Rint = 0.0407]. The structure was
solved by direct methods (program SIR 92, refinement by
SHELXL-97).[18] Structure refinement was performed by full-
matrix least-squares on 109 parameters, weighted refinement: w =
1/[σ2(Fo2) + (0.1084ϫP)2 + 2.10ϫP] with P = [max(Fo2,0) +
2
2ϫFc ]/3, and all non-hydrogen atoms improved with anisotropic
refinement. Goodness-of-fit on S = 1.120, maximum change of pa-
rameters 0.001ϫe.s.d, final R indices: R1 = 0.0511, wR2 = 0.1553,
the final difference Fourier map showed minimum and maximum
values of –1.01 and 0.97 eÅ–3, respectively.
CCDC-684678 (1), -177377 (3), -684679 (4) contain the supplemen-
tary crystallographic data for this paper. These data can be ob-
tained free of charge from The Cambridge Crystallographic Data
Centre via www.ccdc.cam.ac.uk/datarequest/cif.
Theoretical Methods: Geometry optimizations of all stationary
points shown in Scheme 1 were performed at the Becke3LYP/6-
31(2d) level of theory. The same level of theory was used to calcu-
late analytic second derivatives in order to verify the nature of all
stationary points and calculate thermochemical corrections to en-
thalpies at 298.15 K. Structures of open-shell character were opti-
mized at the unrestricted UB3LYP/6-31G(2d) level. Improved rela-
tive energies for all stationary points were then obtained through
single-point calculations at the (U)B3LYP/6-311+G(3df) level of
theory. A combination of these energies with thermal corrections
calculated at the (U)B3LYP/6-31G(2d) level yielded the
∆H298(B3LYP) values listed in Tables 1 and 2. Alternatively, single-
point energies were also calculated at the MP2(FC)/G3MP2large
level, with a restricted reference for both closed- and open-shell
systems. A combination of the (RO)MP2(FC)/G3MP2large ener-
[11] C. N. R. Rao, R. Livingston, Curr. Sci. 1958, 27, 330.
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[13] M. Ishimoro, R. West, B. K. Teo, L. F. Dahl, J. Am. Chem.
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© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
www.eurjoc.org
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