Inorganica Chimica Acta 359 (2006) 3790–3794 www.elsevier.com/locate/ica Note Two-dimensional cyanide-bridged heterobimetallic complexes based on CpCoðCNÞ3: Syntheses, structures and magnetic properties Zhi-Guo Gu a, Qiao-Fang Yang a, Jing-Lin Zuo a,*, Xi-Rui Zeng b, Hong-Cai Zhou c, Xiao-Zeng You a,* a Coordination Chemistry Institute and the State Key Laboratory of Coordination Chemistry, Nanjing University, Nanjing 210093, PR China b Department of Chemistry, Jinggangshan Normal College, Jian 343009, PR China c Department of Chemistry and Biochemistry, Miami University, Oxford, OH 45056-1465, USA Received 14 July 2005; received in revised form 4 January 2006; accepted 16 January 2006 Available online 2 March 2006 Dedicated to D.M.P. Mingos. Abstract Using the half-sandwich tricyanometalate, KCpCo(CN)3 (1, Cp = cyclopentadienyl), as the building block, two new cyano-bridged heterobimetallic complexes, [{CpCo(CN)3}2M(H2O)2] Æ 2H2O (M = FeII, 2; CoII, 3), have been synthesized and structurally characterized. Complexes 2 and 3 are isostructural. In each complex, [CpCo(CN)3] acts as a bis-monodentate bridging ligand toward the central [M(H2O)2]2+ core through two of its three cyanide groups, which leads to a two-dimensional network layer structure with a repeating cyclic octameric [(–M–NC–Co–CN–)]4 unit. The magnetic properties of complexes 2 and 3 have been investigated in the temperature range of 2.0–300 K and they both show weak antiferromagnetic interaction. 2006 Elsevier B.V. All rights reserved. Keywords: Cyanide bridged; Heterometallic complexes; Crystal structures; Magnetic properties 1. Introduction Cyanometalates have been widely employed as building blocks for the construction of multi-metallic assemblies [1–3]. In recent years, half-sandwich tricyanometalates have been proved to be versatile precursors to coordination solids of host–guest systems [4]. For example, the self-assembly reactions between [(C5R5)M(CN)3] (R = H, Me; M = Co, Rh) and C5Me5Mn+ (M = Rh, Ru) sources have generated some very interesting organometallic boxes. These boxes with easy ion-exchange properties can be potentially used as molecular containers devices in the future. * Corresponding authors. Tel.: +86 25 83593893; fax: +86 25 83314502. E-mail address: zuojl@nju.edu.cn (J.-L. Zuo). 0020-1693/$ - see front matter 2006 Elsevier B.V. All rights reserved. doi:10.1016/j.ica.2006.01.024 Very recently, modified cyanometalates, [M(L)x(CN)y]n (M = first row transition metallic ion and L = organic polydentate ligand), have been studied as multidentate ligands or linkers to prepare cyanide-bridged bimetallic systems [5–8]. In our previous work, we have employed the tricyanometalate precursor (Bu4N)[(Tp)Fe(CN)3] (Tp = Tris(pyrazolyl)hydroborate) to achieve new cyano-bridged compounds of single-chain magnet and single-molecule magnet [9]. As an alternative way for constructing supramolecular systems, we used the organometallic tricyanometallate, KCpCo(CN)3 (1), as the building block. Based on it, two novel two-dimensional complexes, [{CpCo(CN)3}2M(H2O)2] Æ 2H2O (M = FeII, 2; CoII, 3), have been prepared. In this paper, we report the crystal structures and physical properties of these polymeric metal complexes. Z.-G. Gu et al. / Inorganica Chimica Acta 359 (2006) 3790–3794 3791 2. Experimental Table 2 Selected bond lengths and angles in complex 2 2.1. Syntheses Bond lengths (Å) Co(1)–C(1) Co(1)–C(3) Co(1)–C(12) Co(1)–C(14) C(1)–N(1) Fe(1)–N(3)#2 Ammonium iron (II) sulfate hexahydrate and cobalt (II) nitrate hexahydrate were purchased from commercial sources and used as received. KCpCo(CN)3 (1) is synthesized as described previously [10]. 2.1.1. [{CpCo(CN)3}2Fe(H2O)2] Æ 2H2O (2) A mixture of methanol and water (1:1, 10 ml) was gently layered on the top of a solution of (NH4)2Fe(SO4)2 Æ 6H2O (39 mg, 0.1 mmol) in water (3 ml). A solution of KCpCo(CN)3 (48 mg, 0.2 mmol) in methanol (3 ml) was added carefully as a third layer. Orange block crystals were obtained after two weeks, washed with ethanol and ether, dried in air. Yield: 49%. Anal. Calc. (%) for C16H18Co2FeN6O4: C, 17.99; H, 1.70; N, 39.33. Found: C, 17.94; H, 1.66; N, 39.39%. 2.1.2. [{CpCo(CN)3}2Co(H2O)2] Æ 2H2O (3) To a methanolic solution (5 ml) of KCpCo(CN)3 (48 mg, 0.2 mmol), a water solution (5 ml) of Co(NO3)2 Æ 6H2O (29 mg, 0.1 mmol) was added. The mixture was stirred at room temperature for 2 min. After filtering, slow evaporation of the filtrate in air afforded orange plate-like crystals. Yield: 41%. Anal. Calc. (%) for C16H18Co3N6O4: C, 17.99; H, 1.70; N, 39.33. Found: C, 17.91; H, 1.65; N, 39.41%. Bond angles () Co(1)–C(1)–N(1) Co(1)–C(3)–N(3) C(1)–Co(1)–C(2) C(1)–N(1)–Fe(1) N(1)–Fe(1)–N(3)#2 O(1)–Fe(1)–N(3)#2 1.8729(15) 1.8826(16) 2.0544(19) 2.0737(18) 1.146(2) 2.2302(14) 179.14(14) 177.84(15) 90.91(7) 173.19(13) 86.39(5) 90.40(5) Co(1)–C(2) Co(1)–C(11) Co(1)–C(13) Co(1)–C(15) Fe(1)–N(1) Fe(1)–O(1) Co(1)–C(2)–N(2) C(1)–Co(1)–C(3) C(2)–Co(1)–C(3) C(3)–N(3)–Fe(1)#4 O(1)–Fe(1)–N(1) 1.8751(16) 2.0673(19) 2.0658(18) 2.0680(18) 2.1357(13) 2.0831(12) 175.45(15) 90.68(6) 95.41(7) 162.95(13) 90.06(5) Symmetry transformations used to generate equivalent atoms: #2 x, y + 1/2, z + 1/2; #4 x + 2, y 1/2, z + 1/2. 2.2. Physical measurements The IR spectra were taken on a Nicolet-170SX FT-IR spectrophotometer with KBr pellets in the range 4000– 400 cm1. Elemental analyses for C, H, N were performed on a Perkin–Elmer 240 C analyzer. Variable-temperature magnetic susceptibility data were collected using a Quantum Design MPMS SQUID magnetometer. The experimental susceptibilities were corrected for the diamagnetism of the constituent atoms (Pascal’ tables). 2.3. Crystal data collection and refinement Table 1 Crystal and refinement data for complexes 2 and 3 Formula Formular weight Crystal system Space group a (Å) b (Å) c (Å) a () b () c () Z V (Å3) Dcalc (g cm3) T (K) k (Å) l(mm1) F(0 0 0) h Range () h k l Range Collected Unique Parameters Goodness-of-fit R1 (I > 2r(I)) wR2 (I > 2r(I)) (D map) maximum/ minimum [e Å3] 2 3 C16H18Co2FeN6O4 532.07 monoclinic P21/c 9.4327(5) 11.4588(6) 10.2838(5) 90 114.5640(10) 90 2 1010.95(9) 1.748 293(2) 0.71073 2.365 536 2.37–28.28 8 6 h 6 12, 15 6 k 6 14, 13 6 l 6 10 7354 2512 150 1.082 0.0219 0.0237 0.410/0.347 C16H18Co3N6O4 535.16 monoclinic P21/c 9.426(2) 11.314(3) 10.270(2) 90 114.322(4) 90 2 998.0(4) 1.781 293(2) 0.71073 2.500 538 2.37–28.05 12 6 h 6 11, 14 6 k 6 14, 13 6 l 6 10 5935 2345 149 0.925 0.0417 0.0635 0.645/0.410 The well-shaped single crystals of 2 and 3 were selected for X-ray diffraction study on a Siemens (Bruker) SMART CCD diffractometer using graphite monochromated Mo Ka radiation (k = 0.71073 Å). Cell parameters were retrieved using SMART software and refined using SAINT on all observed reflections. Data were collected using the following strategy: 606 frames of 0.3 in x with / = 0, 435 frames of 0.3 in x with / = 90, and 235 frames of 0.3 in x with / = 180. An additional 50 frames of 0.3 in x with / = 0 were collected to allow for decay correction. The highly redundant data sets were reduced using SAINT and corrected for Lorentz and polarization effects. Absorption corrections were applied using SADABS supplied by Bruker. The structures were solved by direct methods using the program SHELXL97 and refined on F2 by full-matrix least-squares procedures using SHELXTL software. All non-hydrogen atoms were anisotropically refined. All H atoms were located theoretically and not refined. Crystallographic data and refinement for the complexes are presented in Table 1 and selected bond distances and angles in Table 2, respectively. 3. Results and discussion 3.1. IR spectra In general, the bridging and terminal cyanide groups are usually differentiated by the positions of the corresponding 3792 Z.-G. Gu et al. / Inorganica Chimica Acta 359 (2006) 3790–3794 C„N stretching absorption bands. The bridging cyanide ligands lead to a shift to high wavenumbers. At room temperature, in the solid infrared spectrum of the precursor complex KCpCo(CN)3, only one C„N stretching (2119 cm1) has been observed. However, the C„N stretching frequencies are located at 2129 and 2156 cm1 for 2, and 2136 and 2157 cm1 for 3, which are consistent with the presence of terminal and bridging cyanide ligands. The diamagnetic result of magnetic measurements shows the low-spin character of the cobalt(III) ion in the complex KCpCo(CN)3 (1). 3.2. Crystal structures Complexes 2 and 3 are isostructural and no detailed descriptions are presented here for 3. The asymmetric unit of the structure of 2 together with the atomic labeling scheme is given in Fig. 1. The central Fe(II) ion is sixcoordinated with two oxygen atoms of water in trans position and four cyanide nitrogen atoms, taking a FeN4O2 distorted octahedral environment. The bond length of Fe–O(w) is 2.083(1) Å. To form the network, two Fe–NC–Co bonding modes are utilized: the bending mode [Fe(1)–N(3A)–C(3A)] (Fe(1)–N(3A), 2.2302(14) Å; Fe(1)–N(3A)–C(3A), 162.95(13)) and relatively linear mode [Fe(1)–N(1)–C(1)] (Fe(1)–N(1), 2.1357(13) Å; Fe(1)–N(1)–C(1), 173.19(13)). The cobalt atom has a distorted octahedral geometry, completed by Cp ligand and three carbon atoms from cyanide groups. Each [CpCo(CN)3] provides two cyanide groups to coordinate with two Fe(II), another cyanide group is free. The average Co–C(cyano) bond lengths are 1.878(2) Å for the bridging cyanide groups and 1.8751(16) Å for the terminal cyanide group. The Co–C–N angles for both terminal and bridging cyanide groups are somewhat bent from linearity [175.45(15)–179.14(14)]. The shortest intramolecular Fe Fe, Fe Co distances are 7.698(4) and 5.145(2) Å. As shown in Fig. 2a and 2b, the two-dimensional network structures are spread over the bc plane of the unit cell with a repeating cyclic octameric [(–Fe–NC–Co–CN–)]4 unit. The center of the octameric ring is occupied by the Fig. 1. Perspective drawing of the asymmetric unit of complex 2 showing the atom numbering. Thermal ellipsoids are drawn at the 50% probability levels. The hydrogen atoms and solvents are omitted for clarity. Fig. 2a. A view of a fragment of 2D network structure of 2 along the aaxis. The crystallization water molecule and the hydrogen atoms have been omitted for clarity. Fig. 2b. A schematic view of a fragment of 2D structure of 2 along the a-axis where only the metal atoms and the cyanide bridges (full line) are included. two Cp sandwiches. Namely, the layer structure is stacked along the a-axis, and the water molecules of crystallization are located between the 2D Co and Fe layers. It is noteworthy that 2 is the first example of a 2D layered cyano-bridged complex constructed from organometallic tricyanometallate. The coordinated water is linked to the terminal cyanide nitrogen atom of the other layer through a hydrogen bond (O(1)–H N(2), 3.020(2) Å, symmetry code: 1 + x, y, z). The oxygen atom of lattice water is hydrogen bonded to the water coordinated to the Fe atom (O(1)–H O(2), 2.628(2) Å, symmetry code: 1 + x, 1/2 y, 1/2 + z) and the carbon atom of Cp (C(11)–H O(2), 3.398(3) Å, symmetry code: 1 x, y, 1 z). The bridging cyanide nitrogen atom N(3) and the terminal cyanide nitrogen atom N(2) are also linked to the lattice water molecule (O(2)– H N(3), 3.207(3) Å, symmetry code: 1 + x, 1/2 y, Z.-G. Gu et al. / Inorganica Chimica Acta 359 (2006) 3790–3794 1/2 + z; O(2)–H N(2), 2.834(2) Å, symmetry code: x, y, 1 + z). The three-dimensional structure is formed through these hydrogen-bonding interactions. 3.3. Magnetic properties Recently, CoFe Prussian blue analogues have been investigated as photo-induced magnets by Hashimoto et al. They proposed the explanation of this phenomenon as: the presence of diamagnetic low-spin Co(III)–Fe(II) pairs in these compounds and a photoinduced electron transfer from Fe(II) to Co(III) to give Co(II)–Fe(III) magnetic pairs [11]. However, compound 2 consists of low spin Co(III) and high spin Fe(II) ions, which is obviously different from the above systems. The temperature dependence of vMT for complex 2 is shown in Fig. 3. At room temperature, vMT is equal to 3.40 cm3 mol1 K, which is higher than spin-only one high spin Fe(II) value 3.00 cm3 mol1 K (S = 2). It is almost independent of temperature in the range of 50–300 K but decreases with further lowering of temperature up to the minimum value of 2.50 cm3 mol1 K at 2 K, indicating that antiferromagnetic interaction between the Fe(II) ions dominates the magnetic properties of complex 1. The higher vMT value is suggested as the presence of the orbital contribution. Taking into account the molecular theory, the theoretical expression of the magnetic susceptibility of the FeII– FeII (S1 = S2 = 2) is: vFe ¼ Ng2 b2 S Fe ðS Fe þ 1Þ=3kT ð1Þ vM ¼ vFe =ð1 2vFe zj0 =Ng2 b2 Þ ð2Þ The best fit to the above experimental data gives zj 0 =P 0.124(3) cm1, g = 2.141(2). P The agreement factor R = [(vMT)obsd (vMT)cald]2/ [(vMT)obsd]2 is 1.0 · 105. Therefore, the antiferromagnetic interaction between the high-spin iron(II) ions through Fe–NC–Co–CN–Fe pathway is very weak but cannot be neglected. As shown in Fig. 4, complex 3 exhibits similar magnetic behavior. The result, plotted as vMT versus T, shows that the value for vMT decreases from 2.547 cm3 mol1 K at 300 K to 1.288 cm3 mol1 K at 2 K. The high-temperature vMT value obtained is much larger than the spin-only value expected for one S = 3/2 spin (1.875 cm3 mol1 K). This deviation is the result of the first-order orbital momentum displayed by high-spin Co(II) ions in octahedral surrounding. Moreover, in addition to the symmetry lowering due to the deformation of the octahedral coordination sphere of the Co ions, the coupling of the first-order orbital momentum with the spin momentum partially removes the degeneracy of the ground state and the excited state. The theoretical expression for the molar susceptibility of the CoII–CoII(S1 = S2 = 3/2) is given in Eq. (3) [12]. It considers the paramagnetic behavior for the independent CoII ions found in the molecular formula. Possible weak interactions between the Co(II) sites within the network are considered through a Curie–Weiss parameter h N l2B g2Co 1 1 þ 9e2D=kT vM ¼ kðT hÞ 3 4ð1 þ e2D=kT Þ 2 1 þ ð3kT =4DÞð1 e2D=kT Þ þ þ TIP ð3Þ 3 1 þ e2D=kT Best fit to the experimental data in the temperature domain 2–300 K leads to g = 2.603, D = 76.2 cm1, h = 3.753 K, TIP = 0.00518.PThe agreement factor R = P [(vMT)obsd (vMT)cald]2/ [(vMT)obsd]2 is 1.0 · 106. The small h value is consistent with weak antiferromagnetic interactions between the Co(II) ions through the diamagnetic NC–CoIII–CN bridges. 2.6 / em u m ol -1 1.0 3.0 2.8 0.8 0.6 0.4 0.2 0.0 0 2.6 50 100 150 200 250 0.20 2.4 0.15 -1 1.2 c M / em u mol c MT / emu K mol -1 1.4 3.2 cM -1 3.4 cMT / emu K mol 3793 2.2 0.10 0.05 2.0 0.00 300 0 50 100 T/K 150 200 250 300 T/K 1.8 2.4 0 50 100 150 200 250 300 T/K Fig. 3. The temperature dependence of magnetic susceptibilities in the forms of vMT vs. T and vM vs. T (inset) of 2. The red line corresponds to the best-fit curves using the parameters described in the text. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) 0 50 100 150 200 250 300 T/K Fig. 4. The temperature dependence of magnetic susceptibilities in the forms of vMT vs. T and vM vs. T (inset) of 3. The red line corresponds to the best-fit curves using the parameters described in the text. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) 3794 Z.-G. Gu et al. / Inorganica Chimica Acta 359 (2006) 3790–3794 Acknowledgements This work was supported by the National Natural Science Foundation of China (20531040 and 90501002). J.-L. Zuo thanks the Program for New Century Excellent Talents in University of China (NCET-04-0469). [5] Appendix A. Supplementary data Crystallographic data have been deposited with the Cambridge Crystallographic Data Centre as Supplementary Publication Nos. CCDC-278133 and -278134 for complexes 2 and 3, respectively. Copies of this information may be obtained free of charge from The Director, CCDC, 12 Union Road, Cambridge, CB2 1EZ, UK, fax: +44 1223 336 033, e-mail: deposit@ccdc.cam.ac.uk or http:// www.ccdc.cam.ac.uk). Supplementary data associated with this article can be found, in the online version, at doi:10.1016/j.ica.2006.01.024. [6] [7] References [1] (a) M. Verdaguer, A. Bleuzen, V. Marvaud, J. Vaissermann, M. Seuleiman, C. Desplanches, A. Scuiller, C. Train, R. Garde, G. Gelly, C. Lomenech, I. Rosenman, P. Veillet, C. Cartier, F. Villain, Coord. Chem. Rev. 190–192 (1999) 1023; (b) M. Ohba, H. Okawa, Coord. Chem. Rev. 198 (2000) 313; (c) J. Cernák, M. Horendác, I. Potocnák, J. Chomic, A. Horendákova, J. Skorsepa, A. Feher, Coord. Chem. Rev. 224 (2002) 51. [2] (a) V. Marvaud, C. Decroix, A. Scuiller, C. Guyard-Duhayon, J. Vaissermann, F. Gonnet, M. Verdaguer, Chem. Eur. J. 9 (2003) 1678; (b) V. Marvaud, C. Decroix, A. Scuiller, F. Tuyèras, C. GuyardDuhayon, J. Vaissermann, J. Marrot, F. Gonnet, M. Verdaguer, Chem. Eur. J. 9 (2003) 1692; (c) L. Toma, R. Lescouëzec, J. Vaissermann, F.S. Delgado, C. RuizPérez, R. Carrasco, J. Cano, F. Lloret, M. Julve, Chem. Eur. J. 10 (2004) 6130. [3] (a) V. Escax, A. Bleuzen, C. Cartier dit Moulin, F. Villain, A. Goujon, F. Varret, M. Verdaguer, J. Am. Chem. Soc. 123 (2001) 12536; (b) G. Champion, V. Escax, C. Cartier dit Moulin, A. Bleuzen, F. Villain, F. Baudelet, E. Dartyge, M. Verdaguer, J. Am. Chem Soc. 123 (2001) 12544; (c) R. Garde, F. Villain, M. Verdaguer, J. Am. Chem. Soc. 124 (2002) 10531. [4] (a) K.K. Klausmeyer, T.B. Rauchfuss, S.R. Wilson, Angew. Chem. Int. Ed. 37 (1998) 1694; (b) J.L. Heinrich, P.A. Berseth, J.R. Long, Chem. Commun. (1998) 1231; [8] [9] [10] [11] [12] (c) S.M. Contakes, K.K. Klausmeyer, R.M. Milberg, S.R. Wilson, T.B. Rauchfuss, Organometallics 17 (1998) 3633; (d) S.C.N. Hsu, M. Ramesh, J.H. Espenson, T.B. Rauchfuss, Angew. Chem. Int. Ed. 42 (2003) 2663; (e) M.L. Kuhlman, T.B. Rauchfuss, J. Am. Chem. Soc. 125 (2003) 10084. (a) R. Lescouëzec, F. Lloret, M. Julve, J. Vaissermann, M. Verdaguer, R. Llusar, S. Uriel, Inorg. Chem. 40 (2001) 2065; (b) R. Lescouëzec, F. Lloret, M. Julve, J. Vaissermann, M. Verdaguer, Inorg. Chem. 41 (2002) 818; (c) H. Oshio, M. Yamamoto, T. Ito, Inorg. Chem. 41 (2002) 5817; (d) H. Oshio, O. Tamada, H. Onodera, T. Ito, T. Ikoma, S. Terokubota, Inorg. Chem. 38 (1999) 5686; (e) H. Oshio, H. Onodera, O. Tamada, H. Mizutani, T. Hikichi, T. Ito, Chem. Eur. J. 6 (2000) 2523. (a) K.K. Klausmeyer, S.R. Wilson, T.B. Rauchfuss, J. Am. Chem. Soc. 121 (1999) 2705; (b) S.M. Contakes, K.K. Klausmeyer, T.B. Rauchfuss, Inorg. Chem. 39 (2000) 2069; (c) D.J. Darensbourg, W.Z. Lee, M.J. Adams, J.C. Yarbrough, Eur. J. Inorg. Chem. (2001) 2811. (a) R. Lescouëzec, J. Vaissermann, F. Lloret, M. Julve, M. Verdaguer, Inorg. Chem. 41 (2002) 5943; (b) R. Lescouëzec, J. Vaissermann, L.M. Toma, R. Carrasco, F. Lloret, M. Julve, Inorg. Chem. 43 (2004) 2234; (c) S. Wang, J.L. Zuo, H.C. Zhou, Y. Song, S. Gao, X.Z. You, Eur. J. Inorg. Chem. (2004) 3681; (d) S. Wang, J.L. Zuo, H.C. Zhou, Y. Song, X.Z. You, Inorg. Chem. Acta. 358 (2005) 2101; (e) Z.G. Gu, J.L. Zuo, Y. Song, C.H. Li, Y.Z. Li, X.Z. You, Inorg. Chem. Acta. 358 (2005) 4057. (a) J.J. Sokol, M.P. Shores, J.R. Long, Angew. Chem. Int. Ed. 40 (2001) 236; (b) P.A. Berseth, J.J. Sokol, M.P. Shores, J.L. Heinrich, J.R. Long, J. Am. Chem. Soc. 122 (2000) 9655; (c) M.P. Shores, J.J. Sokol, J.R. Long, J. Am. Chem. Soc. 124 (2002) 2279; (d) J.Y. Yang, M.P. Shores, J.J. Sokol, J.R. Long, Inorg. Chem. 42 (2003) 1403. (a) S. Wang, J.L. Zuo, S. Gao, Y. Song, H.C. Zhou, Y.Z. Zhang, X.Z. You, J. Am. Chem. Soc. 126 (2004) 8900; (b) S. Wang, J.L. Zuo, H.C. Zhou, H.J. Choi, Y.X. Ke, J.R. Long, X.Z. You, Angew. Chem. Int. Ed. 43 (2004) 5940. J.A. Dineen, P.L. Pauson, J. Organmetal. Chem. 43 (1972) 209. (a) O. Sato, T. Iyoda, A. Fujishima, K. Hashimoto, Science 272 (1996) 704; (b) N. Shimamoto, S.I. Ohkoshi, O. Sato, K. Hashimoto, Inorg. Chem. 41 (2002) 678; (c) V. Escax, A. Bleuzen, C. Cartier dit Moulin, F. Villain, A. Goujon, F. Varret, M. Verdaguer, J. Am. Chem. Soc. 123 (2001) 12536. Y. Liao, W.W. Shum, J.S. Miller, J. Am. Chem. Soc. 124 (2002) 9336, and references therein.