Table
1
Details of the gross atomic spin orbital populations
asymmetry results from charge disproportionation, complex 1
might also have a potential application as a molecular
rectifier.2c,8
(a spin ꢀ b spin, electrons; Mulliken analysis) calculated for the
5
high-spin A state of complex 1
The authors thank the National Science Council of the
Republic of China for financial support.
Ni1
Ni2
Ni3
Ni4
Ni5
Ni6
Ni7
sa
db
pc
0.58
0.83
0.03
0.40
0.81
0.03
0.06
0.01
0.00
0.09
0.00
0.00
0.26
0.00
0.01
0.35
0.03
0.01
0.18
0.02
0.00
Notes and references
a
b
c
y Crystal data for 1: Ni7C106H86N28Cl9PF6, Mw = 2627.02, mono-
clinic, space group P21/c, a = 41.262(2) A, b = 13.7958(7) A, c =
18.5806(9) A, a = 901, b = 99.7034(1)1, g = 901, V = 10425.5(9) A3,
Z = 4, d(calcd) = 1.674 Mg mꢀ3, T = 150(2) K, 49140 reflection
dz
2
spin population. dx ꢀy + dxy spin population. dxz + dyz spin
2
2
population.
0.63 eV than that for the 3B state. This substantial energy
difference and the ideal optimized structure of 5A suggests that
the charge disproportionate model of 1 is indeed more stable,
which results in self-redox reactions of nickel ions in the period
of synthesis. It is noteworthy that the approximation of the
antiferromagnetic state (S = 1) of 1 by performing the broken
symmetry (BS) approach7 is unsuccessful, which might be
attributed to the fact that compound 1 contains two different
MV systems, (Ni2)3+ and (Ni3)7+. Since the BS approach is
typically based on a pure Heisenberg system, a comprehensive
treatment of the BS state of 1 is far beyond the possibilities of
the BS approach.2a The spin distribution of the 5A state shows
1.44 e on the terminal Ni(1) and 1.24 e on Ni(2), which exhibits
the partial delocalized behaviour.2a It appears from a more
detailed analysis (Table 1) that this partial delocalization
occurs along the metal axis through a transfer of a b-spin
electron density from Ni(2) to Ni(1) in 1, and leads to the
formation of a three-electron-two-centre s bond.2a Furthermore,
the spin distribution on the terminal Ni(5)–Ni(6)–Ni(7) unit
mainly concentrates on the dz2 orbitals, which indicates that
the delocalization of b-spin electrons through the s pathway
within the (Ni3)7+ unit (Scheme 2, top). This delocalization
results from the formation of a nickel–nickel s bond, since the
s* spin density was depopulated upon one-electron oxidation.4
The related Ni–Ni distances of 1, therefore, are shorter than
those of its analogue.2b It is interesting to note that the spin
densities on closed-shell Ni(3) and Ni(4) are slightly positive,
which indicates the electronic communication between (Ni2)3+
and the (Ni3)7+ terminus. This electronic communication
provides a pathway for AF interaction and enhances the
electron mobility within whole heptanickel framework.
collected, 18168 independent, Rint = 0.1020, R1 = 0.0664, wR2
0.1570 for all data.
=
1 (a) Extended Linear Chain Compounds, ed. J. S. Miller, Plenum,
New York, 1982, vol. 1–3; (b) S. Roth, One-Dimensional Metals,
VCH, New York, 1995; (c) M. H. Chisholm and N. J. Patmore,
Acc. Chem. Res., 2007, 40, 19; (d) L. A. Barrios, D. Aguila,
O. Roubeau, P. Gamez, J. R. -Arino, S. J. Teat and Guillem Aromı
Chem.–Eur. J., 2009, 15, 11235; (e) J. K. Bera and K. R. Dunbar,
´
,
Angew. Chem., Int. Ed., 2002, 41, 4453; (f) T. Ruffer, M. Ohashi,
¨
A. Shima, H. Mizomoto, Y. Kaneda and K. Mashima, J. Am.
Chem. Soc., 2004, 126, 12244; (g) Y. Tatsumi, T. Murahashi,
M. Okada, S. Ogoshi and H. Kurosawa, Chem. Commun., 2008,
477; (h) Y. Takemura, H. Takenaka, T. Nakajima and T. Tanase,
Angew. Chem., Int. Ed., 2009, 48, 2157.
2 (a) I. P.-C. Liu, M. Benard, H. Hasanov, I.-W. P. Chen,
´
W.-H. Tseng, M.-D. Fu, M.-M. Rohmer, C.-h. Chen, G.-H. Lee
and S.-M. Peng, Chem.–Eur. J., 2007, 13, 8667; (b) I. P.-C. Liu,
C.-F. Chen, S.-A. Hua, C.-H. Chen, H.-T. Wang, G.-H. Lee and
S.-M. Peng, Dalton Trans., 2009, 3571; (c) I. P.-C. Liu, C.-H. Chen,
C.-F. Chen, G.-H. Lee and S.-M. Peng, Chem. Commun., 2009, 577;
(d) I. P.-C. Liu, W.-Z. Wang and S.-M. Peng, Chem. Commun.,
2009, 4323.
3 (a) K. Otsubo, A. Kobayashi, H. Kitagawa, M. Hedo, Y. Uwatoko,
H. Sagayama, Y. Wakabayashi and H. Sawa, J. Am. Chem. Soc.,
2006, 128, 8140; (b) M. Yamashita, S. Takaishi, A. Kobayashi,
H. Kitagawa, H. Matsuzaki and Hiroshi Okamoto, Coord. Chem.
Rev., 2006, 250, 2335; (c) K. Uemura, K. Fukui, Hi. Nishikawa,
S. Arai, K. Matsumoto and H. Oshio, Angew. Chem., Int. Ed., 2005,
44, 5459; (d) M. Mitsumi, H. Ueda, K. Furukawa, Y. Ozawa,
K. Toriumi and M. Kurmoo, J. Am. Chem. Soc., 2008, 130, 14102.
4 (a) J. F. Berry, F. A. Cotton, P. Lei, T. Lu and C. A. Murillo,
Inorg. Chem., 2003, 42, 3534; (b) P. Kiehl, M.-M. Rohmer and
M. Benard, Inorg. Chem., 2004, 43, 3151.
´
¯
5 (a) M. Yonemura, Y. Matsumura, H. Furutachi, H. Okawa and
D. E. Fenton, Inorg. Chem., 1997, 36, 2711; (b) For two magnetic
centres with SA = 3/2 , SB = 1/2, the van Vleck equation can be
developed as:
Nb2 10g22 expðꢀ4J=kTÞ þ 2g21 expðꢀ4J=kTÞ
wM
¼
kT
5 þ 3 expðꢀ4J=kTÞ
In summary, we have synthesized and characterized the
longest asymmetric heptanickel string complex. The metal
framework of 1 contains two different MV units, (Ni2)3+
and (Ni3)7+, due to its one-electron reduction and oxidation.
It is the first example of metal string complexes that possesses
this unusual charge disproportionate metal chain. Moreover,
the spin distribution of 1 shows that the (Ni2)3+ and (Ni3)7+
terminus are electronically coupled. This behaviour suggests
that compound 1 not only contains two MV (Ni2)3+ and
(Ni3)7+ units, but also possesses a third extended MV
[(Ni2)3+–(Ni3)7+] system. Since mixed-valent units had been
in which N is Avogadro’s constant, g is the Lande factor, b is the
Bohr magneton, k is the Boltzmann constant, T is temperature
and g1 and g2 are g factors associated with the total spin states
ST = 1 and 2, respectively. The g factors were expressed using
the local g3/2 and g1/2 values as follows: g1 = (5g3/2 ꢀ g1/2)/4 and
g2 = (3g3/2 + g1/2)/4.
6 The calculations were preformed using Gaussian 03w (Revision B.05):
M. J. Frisch et al., see ESI.
7 (a) A. P. Ginsberg, J. Am. Chem. Soc., 1980, 102, 111;
(b) L. Noodleman, J. Chem. Phys., 1981, 74, 5737;
(c) L. Noodleman and E. J. Baerends, J. Am. Chem. Soc., 1984,
106, 2316.
8 See for example and references therein (a) R. M. Metzger,
Chem. Rev., 2003, 103, 3803; (b) G. Ho, J. R. Heath,
´
M. Kondratenko, D. F. Perepichka, K. Arseneault, M. Pezolet and
M. R. Bryce, Chem.–Eur. J., 2005, 11, 2914; (c) J.-W. Ying, A. Cordova,
T. Y. Ren, G.-L. Xu and T. Ren, Chem.–Eur. J., 2007, 13, 6874.
proved to be
a
conductance-enhanced material,2a this
extended MV [(Ni2)3+–(Ni3)7+] system of 1 is expected to
exhibit higher electronic conductance than traditional MV
nickel strings do. It is noteworthy that because of the electronic
ꢁc
This journal is The Royal Society of Chemistry 2010
5020 | Chem. Commun., 2010, 46, 5018–5020