A.G. Makarov et al. / Journal of Molecular Structure 978 (2010) 158–162
161
Table 4
Relative energies (
D
E in kJ molꢀ1) of the three different isomers of compounds 1 and 2 at various levels of theory.
PBE/3z
B3LYP/6–311 + G(d,p)
MP2/6–311G(d,p)
u1, u2 (symmetry)
D
E
u1, u2 (symmetry)
D
E
u1, u2 (symmetry)
DE
1-Z,Z
1-Z,E
1-E,E
2-Z,Z
2-Z,E
2-E,E
0.0
180.0, 180.0 (C2v-anti,anti)
169.2, –29.9 (C1-anti,syn)
ꢀ26.0, 150.5 (C1-syn,anti)
42.3, ꢀ141.9 (C1-syn,anti)
145.9, ꢀ22.7 (C1-anti,syn)
ꢀ29.1, 165.7 (C1-syn,anti)
0.0
180.0, 180.0 (C2v-anti,anti)
173.0, ꢀ26.9 (C1-anti,syn)
ꢀ24.7, 152.1 (C1-syn,anti)
42.4, ꢀ137.2 (C1-syn,anti)
47.3, ꢀ161.7 (C1-syn,anti)
ꢀ28.6, 167.1 (C1-syn,anti)
0.0
50.0, ꢀ151.2 (C1-syn,anti)
170.3, ꢀ48.0 (C1-anti,syn)
ꢀ35.1, 143.0 (C1-syn,anti)
49.9, ꢀ133.5 (C1-syn,anti)
51.4, ꢀ134.1 (C1-syn,anti)
ꢀ38.0, 155.0 (C1-syn,anti)
15.5
36.8
0.0
12.6
22.6
16.3
43.9
0.0
18.0
33.1
26.8
55.6
0.0
25.9
56.9
slightly shortened interlayer F1. . .F2 contacts of 2.918(2) Å (the
sum of the van der Waals radii is 2.91 Å [26]) and F3. . .O1 contacts
of 2.967(3) Å (the sum of the van der Waals radii is 3.04 Å [26])
should also be mentioned.
be interpreted using the qualitative bonding model [10,17], which
is based on anomeric interactions in the Z configuration of RNSX
(X = O, N–) derivatives, and on the electron-acceptor strength of
the group R for the twisted molecular conformation. Removal of
the CH. . .O intramolecular interaction upon substitution of the
hydrogen atoms in the 3- and 6-positions in 1 by fluorine atoms
in 2, as well as the introduction of steric strain caused by this sub-
stitution, work together towards a non-planar conformation of 2.
The combination of these stereoelectronic effects allows the ratio-
nalization of the known structures of RNSX (X = O, N–) derivatives
and the prediction of as yet unknown structures.
3.2. Gas-phase structures
The relative energies of the nine different conformers of Z,Z-2
were investigated, excluding the three with unrealistic structures:
the C2v-syn,syn conformer, in which both –NSO groups are super-
imposed, and the Cs-syn,syn and Cs-syn,anti conformers, in which
there is considerable repulsion between both –NSO groups, were
omitted from these calculations. Furthermore, the C2v-anti,anti
conformer turned out to be a transition state with two imaginary
frequencies. All conformers, including two with C1 symmetry, are
listed in Table 3, together with their relative energies. Even though
the energy differences are not very large, it is clear that one of the
C1-syn,anti conformers, i.e., the one which is also found in the solid
state, is the lowest-energy conformer.
Acknowledgements
The authors are grateful to the Russian Foundation for Basic
Research (projects 06-03-32229 and 09-03-00361) and the Univer-
sity of Antwerp (project BOF UA 22296) for financial support of
their work. The authors gratefully acknowledge the University of
Antwerp for access to the university’s computer cluster CalcUA.
Based on this observation, the structures and relative energies
of the relevant conformers of the three isomers of 1 and 2 were
calculated at various levels of theory [DFT/PBE/3z, DFT/B3LYP/
6–311 + G(d,p) and MP2/6–311G(d,p)] and the results are given
in Table 4. The geometrical data of the Z,Z isomers have been gath-
ered in Tables 1 and 2 for compounds 1 and 2, respectively. PBE/3z
reproduces the results of the earlier calculations on 2 and finds the
C1-syn,anti conformer to be the lowest-energy conformer, as do
B3LYP/6–311 + G(d,p) and MP2/6–311G(d,p), and all three geome-
tries are comparable. According to the DFT calculations, the Z,Z iso-
mer of 2 is stabilized relative to the Z,E configuration by about
References
[1] T. Chivers, R.S. Laitinen, Chalcogen-nitrogen chemistry. in: F. Devillanova (Ed.),
Handbook of Chalcogen Chemistry. New Perspectives in Sulfur, Selenium and
Tellurium, RSC Press, Cambridge, UK, 2007, pp. 223-285.
[2] T. Chivers,
Scientific, 2005.
[3] R.M. Romano, J. Mol. Struct. 522 (2000) 1.
A Guide to Chalcogen-Nitrogen Chemistry, Singapore, World
[4] P.F. Kelly, J.D. Woollins, Polyhedron 5 (1986) 607.
[5] R. Bussas, G. Kresze, H. Muensterer, A. Schwoebel, Sulf. Reports 2 (1983) 215.
[6] J. Demaison, L. Margules, J.E. Boggs, H.D. Rudolph, Struct. Chem. (12) (2001) 1.
[7] H. Oberhammer, Z. Naturforsch. A 25 (1970) 1497.
[8] K.I. Gobbato, Mol. Struct. 350 (1995) 227.
[9] R.M. Romano, Mol. Struct. 475 (1991) 1.
[10] T. Borrmann, E. Lork, R. Mews, W.-D. Stohrer, P.G. Watson, A.V. Zibarev, Chem.
Eur. J. 7 (2001) 3504.
[11] A.V. Zibarev, E. Lork, R. Mews, Chem. Commun. (1998) 991.
[12] F. Iwasaki, Acta Crystallogr. B 36 (1980) 1700.
[13] R.N. Butler, J.P. Duffy, P. McArdle, D. Canningham, G.A. O’Halloran, Chem.
Commun. (1989) 1210.
[14] H.W. Roesky, K.L. Weber, M. Noltemeyer, G.M. Sheldrick, Z. Naturforsch. B. 39
(1984) 163.
[15] I. Yu Bagryanskaya, Yu V. Gatilov, A. Yu Makarov, M.M. Shakirov, K.V. Shuvaev,
A.V. Zibarev, Russ. J. Gen. Chem. 71 (2001) 1050.
[16] N.P.C. Walker, M.B. Hursthouse, C.P. Warrens, J.D. Woollins, Chem. Commun.
(1985) 227.
[17] T. Borrmann, A.V. Zibarev, E. Lork, G. Knitter, S.-J. Chen, P.G. Watson, E. Cutin,
M.M. Shakirov, W.-D. Stohrer, R. Mews, Inorg. Chem. 39 (2000) 3999.
[18] T. Borrmann, E. Lork, R. Mews, M.M. Shakirov, A.V. Zibarev, Eur. J. Inorg. Chem.
(2004) 2452.
15 kJ molꢀ1, while MP2 yields a difference of about 26 kJ molꢀ1
.
The E,E configuration is further destabilized by about twice as
much, for both DFT and MP2.
For 1, the lowest-energy isomer is likewise the Z,Z isomer but in
this case both DFT functionals yield planar structures; MP2, on the
other hand, produces a markedly non-planar conformation, quite
similar to the one found for the tetrafluoro derivative (2). The cal-
culated energy differences between the Z,Z and the Z,E isomers of 1
mirror those found for 2, as differences of about 16 and 27 kJ molꢀ1
are found. DFT produces somewhat large differences between the
Z,E and E,E isomers (about 40 kJ molꢀ1), but MP2 stands by the
55 kJ molꢀ1 found also for 2.
For Z,Z-1, the two DFT methods produce similar geometries and
maintain the planar conformation also found in the solid state
(Table 1). Also for 2, the gas-phase structures obtained using the
different methods are similar to each other and to the experimen-
tal solid-state structure (Table 2). One can conclude that in the case
of these two molecules, the numerous intermolecular interactions
in the solid state do not practically affect the calculated gas-phase
molecular conformations.
[19] H.M. Muchall, J. Phys. Chem. A 105 (2001) 632.
[20] A.V. Zibarev, A.O. Miller, J. Fluorine Chem. 50 (1990) 359.
[21] G.M. Sheldrick, SHELX-97 – Programs for Crystal Structure Analysis (Release
97-2), University of Göttingen, Germany, 1997. .
[22] A.L. Spek, J. Appl. Crystallogr. 36 (2003) 7.
[23] D.N. Laikov, Chem. Bull. Int. Ed. 54 (2005) 820.
[24] M.W. Schmidt, K.K. Baldridge, J.A. Boatz, S.T. Elbert, M.S. Gordon, J.J. Jensen, S.
Koseki, N. Matsunaga, K.A. Nguen, S. Su, T.L. Windus, M. Dupuis, J.A.
Montgomery, J. Comput. Chem. 14 (1993) 1347.
[25] M.J. Frisch, G.W. Trucks, H.B. Schlegel, G.E. Scuseria, M.A. Robb, J.R. Cheeseman,
J.A. Montgomery, Jr., T. Vreven, K.N. Kudin, J.C. Burant, J.M. Millam, S.S. Iyengar,
J. Tomasi, V. Barone, B. Mennucci, M. Cossi, G. Scalmani, N. Rega, G.A.
Petersson, H. Nakatsuji, M. Hada, M. Ehara, K. Toyota, R. Fukuda, J. Hasegawa,
M. Ishida, T. Nakajima, Y. Honda, O. Kitao, H. Nakai, M. Klene, X. Li, J.E. Knox,
H.P. Hratchian, J.B. Cross, C. Adamo, J. Jaramillo, R. Gomperts, R.E. Stratmann,
4. Conclusions
The observed molecular structures of 1 and 2 – both the exper-
imental solid-state and the calculated gas-phase structures – can