10.1002/chem.201702153
Chemistry - A European Journal
FULL PAPER
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52 %). H NMR (CD3CN, 400 MHz): δ = 2.76 (m, 2H, CH2), 3.38 (d, 2H,
supporting this research. We also thank the Natural Sciences and
Engineering Research Council (NSERC) for financial support of
the visit of JL (Victoria) to GSH (Montreal), during which the MS
data were obtained, and Prof Scott McIndoe (Victoria) and Dr
Joseph Lane (Waikato) for helpful advice. The authors wish to
acknowledge NeSI high-performance computing facilities. NZ's
national facilities are provided by the NZ eScience Infrastructure
and funded jointly by NeSI's collaborator institutions and through
the Ministry of Business, Innovation & Employment's Research
CH2, 3J = 16.0 Hz), 4.32 (m, 2H, CH2), 5.18 (d, 2H, CH2, J = 16.0 Hz),
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7.11 (m, 2H, PyH), 7.42 (d, 2H, PyH, 3J = 7.3 Hz), 7.56 (d, 2H, PzH, 3J =
5.0 Hz), 7.83 (m, 4H, PyH) and 9.76 ppm (s, 2H, ImH). 13C NMR (CD3CN,
133 MHz): δ = 34.51 (CCH2), 57.18 (CCH2), 123.53 (CPy), 127.79 (CPy),
140.16 (CPy), 151.03 (CPy), 153.37 (CPy), 155.58 (CPz), 165.12 (CPz),
172.67 ppm (CIm). Elemental analysis calcd for C60H60N18Fe3B6F24: C
41.86, 3.51, 14.64%; found: C 41.68, H 3.74, N, 14.84%. IR υCN (ATR, cm-
1): 1608 (m) 1569 (w) 1484 (m) 1443 (m) 1363 (w) 1317 (w) 1303 (w) 1206
(m) 1030 (s) 927 (m) 761 (m). UV/Vis (CH3CN): λmax (ε) = 254 (16775), 300
(12750), 433 (6250), 623 (5250), 721 nm (4750 L mol-1cm-1). Cryospray-
MS (+): m/z = 1635.3403 {[Fe3L3](BF4)5}+ (calcd = 1635.3479), 774.1794
{[Fe3L3](BF4)4}2+ (calcd = 774.1719).
DFT calculations
Conflict of Interest
All DFT calculations were performed using the ORCA program version
3.0.3.[24] Complexes were fully optimized using the BP86[12] functional with
a def2-SVP basis set.[14] The resolution of identity approximation[25] was
also used with a def2-SVP/J auxillary basis set.[26] Calculations were
performed in a polarizable continuum solvent using both the COSMO[27]
and[28] SMD solvation models, and acetonitrile as the solvent. The starting
The authors declare no competing financial interests.
Keywords: supramolecular chemistry; self-assembly; triangles;
cyclohelicates; entropy
coordinates for [Zn3L3]6+, [Fe3L3]6+, [CoIII4(L2,5-Et)4]4+, [FeII (bbppz)4]8+, and
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[1]
a) D. L. Caulder, K. N. Raymond, J. Chem. Soc., Dalton Trans. 1999,
1185-1200; b) D. L. Caulder, K. N. Raymond, Acc. Chem. Res. 1999, 32,
975-982; c) B. J. Holliday, C. A. Mirkin, Angew. Chem. Int. Ed. 2001, 40,
2022-2043; d) S. Leininger, B. Olenyuk, P. J. Stang, Chem. Rev. 2000,
100, 853-908; e) J.-M. Lehn, Science (Washington D.C.) 2002, 295,
2400-2403; f) M. Fujita, M. Tominaga, A. Hori, B. Therrien, Acc. Chem.
Res. 2005, 38, 369-378; g) J. R. Nitschke, Acc. Chem. Res. 2007, 40,
103-112; h) E. Zangrando, M. Casanova, E. Alessio, Chem. Rev. 2008,
108, 4979-5013; i) B. Lippert, P. J. Sanz Miguel, Chem. Soc. Rev. 2011,
40, 4475-4487; j) R. J. Chakrabarty, P. S. Mukherjee, P. J. Stang, Chem.
Rev. 2011, 111, 6810-6918; k) N. J. Young, B. P. Hay, Chem. Commun.
2013, 49, 1354-1379; l) W. Wang, Y.-X. Wang, H.-B. Yang, Chem. Soc.
Rev. 2016, 45, 2656-2693.
[ZnII (bbppz)4]8+ were those from the cif file of the x-ray crystallographic
4
data. The starting coordinates of [Zn4L4]8+ and [Fe4L4]8+ were those from
the cif file of [CoIII4(L2,5-Et)4]4+, and the starting coordinates of [CoIII3(L2,5-
Et)3]3+, [FeII3(bbppz)3]6+ and [ZnII (bbppz)3]6+ were those of [Zn3L3]6+
.
3
Frequency calculations were carried out on all complexes to confirm they
were local minima by the existence of no significant imaginary frequencies.
Imaginary frequencies below 35 cm-1 were assumed to be due to
numerical noise. No corrections were made for zero point energies or
dispersion. The calculations produce total electronic energies, which are
adjusted for the complex stoichiometry and reported as total energy per
ML unit. All complexes were re-optimized using the B3LYP functional and
the results were qualitatively the same, confirming that the relative
stabilities were not artefacts of the chosen density functional.
The enthalpy, H, and entropy, S, of the cyclohelicates were derived
using DFT-calculated energies and ideal gas statistical mechanics within
the harmonic approximation. Vibrational modes with frequencies below 35
cm-1 were excluded, the number of which was between 5-18, depending
on the complex. It should be noted that there remain very many low-
frequency modes. Low-frequency vibrational modes are not well-described
with a harmonic description therefore there exists a large degree of
uncertainty in the calculated vibrational entropy. The calculated rotational,
vibrational and translation entropies of the cyclohelicates are presented in
Table S4. Clearly, TSvib is approximately an order of magnitude larger than
TSrot and TStrans, therefore it has the largest effect on the overall entropy
of the cyclohelicates. Given that this value is highly uncertain, the overall
entropy and any quantity derived from it (e.g. Gibb’s energy, G) is also
uncertain therefore we do not present calculated values of G here.
Considering the relative enthalpy and entropy of the cyclohelicates (Table
S4), it is clear that the enthalpic product is the same as predicted by the
relative electronic energies, for all M3L3/M4L4 pairs. In all cases, the
triangle is the entropically favoured cyclohelicate.
[2]
[3]
a) M. Ruben, J. Rojo, F. J. Romero-Salguero, L. H. Uppadine, J.-M. Lehn,
Angew. Chem. Int. Ed. 2004, 43, 3644-3662; b) M. Ruben, J.-M. Lehn,
P. Müller, Chem. Soc. Rev. 2006, 35, 1056–1067; c) L. N. Dawe, T. S.
M. Abedin, L. K. Thompson, Dalton Trans. 2008, 1661-1675; d) L. N.
Dawe, K. V. Shuvaev, L. K. Thompson, Chem. Soc. Rev. 2009, 38, 2334-
2359; e) J. G. Hardy, Chem. Soc. Rev. 2013, 42, 7881-7899.
a) J. Hausmann, G. B. Jameson, S. Brooker, Chem. Commun. 2003,
2992-2993; b) J. Hausmann, S. Brooker, Chem. Commun. 2004, 1530-
1531; c) J. Klingele (née Hausmann), J. F. Boas, J. R. Pilbrow, B.
Moubaraki, K. S. Murray, K. J. Berry, K. A. Hunter, G. B. Jameson, P. D.
W. Boyd, S. Brooker, Dalton Trans. 2007, 633-645 and front cover
feature.
[4]
[5]
a) T. Bark, M. Duggeli, H. Stoeckli-Evans, A. von Zelewsky, Angew.
Chem. Int. Ed. 2001, 40, 2848-2851; b) W. Meng, T. K. Ronson, J. K.
Clegg, J. R. Nitschke, Angew. Chem., Int. Ed. 2013, 52, 1017-1021.
a) A.-M. Stadler, F. Puntoriero, S. Campagna, N. Kyritsakas, R. Welter,
J.-M. Lehn, Chem. Eur. J. 2005, 11, 3997-4009; b) A.-M. Stadler, F.
Puntoriero, F. Nastasi, S. Campagna, J.-M. Lehn, Chem. Eur. J. 2010,
16, 5645-5660; c) A.-M. Stadler, J. Ramírez, J.-M. Lehn, Chem. Eur. J.
2010, 16, 5369-5378; d) A.-M. Stadler, L. Karmazin, C. Bailly, Angew.
Chem. Int. Ed. 2015, 54, 14570-14574; e) J. Ramirez, A.-M. Stadler, G.
Rogez, M. Drillon, J.-M. Lehn, Inorg. Chem. 2009, 48, 2456-2463.
a) V. V. Kastron, I. G. Iovel, I. P. Skrastyn'sh, Y. S. Gol'dberg, M. V.
Shimanskaya, G. Y. Dubur, Chemistry of Heterocyclic Compounds 1986,
22, 915-917; b) I. G. Iovel, I. Jansone, Y. S. Gol'dberg, M. V.
Shimanskaya, Khim. Geterotsikl. 1990, 4, 532-537; c) R. Franke, Ber.
Deutsch. Chem. Ges. 1905, 38, 3724-3728; d) M. Hasegawa, Y. Asusuki,
F. Susuki, H. Nakanishi, J. Polym. Sci., Part A: Polym. Chem. 1969, 7,
Acknowledgements
[6]
We thank the University of Otago (PhD scholarship to RWH; and
Versalab magnetometer purchase), the MacDiarmid Institute for
Advanced Materials and Nanotechnology (PhD scholarship to
SD), and the Marsden Fund (RSNZ; PhD scholarship to RMH) for
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