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Electronic Supplementary Material (ESI) for ChemComm. This journal is The Royal Society of Chemistry 2015 Electronic Supplementary information (ESI) For Thermochromic and solvatochromic properties of Lindqvist polyoxometalates S. Herrmann, J. T. Margraf, T. Clark and C. Streb* 1. Instrumentation UV-Vis spectroscopy: UV-Vis spectroscopy was performed on a Shimadzu UV- 2401PC spectrophotometer, Varian Cary 50 spectrophotometer or Varian Cary 5G spectrophotometer equipped with a Peltier thermostat. All systems were used with standard cuvettes (d = 10.0 mm). Differential Scanning Calorimetry (DSC): DSC was performed on a NETZSCH DSC 204F1, a known amount of sample was placed in a Al pan with pierced lid, gaseous N 2 cooling at 100% with flow rate of 20.0 ml/min and 15 K/min. Calibration performed using an indium standard. Temperature range: -140 C - 80 C. FT-IR spectroscopy: FT-IR spectroscopy was performed on a Shimadzu FT-IR-8400S spectrometer. Samples were prepared as KBr pellets. Signals are given as wavenumbers in cm -1 using the following abbreviations: vs = very strong, s = strong, m = medium, w = weak and b = broad. Elemental analysis: Elemental analysis was performed on a Euro Vector Euro EA 3000 Elemental Analyzer. NMR spectra: 1 H- and 13 C-NMR spectroscopy were performed on a JEOL EX 270 NMR spectrometer or JEOL EX 400 spectrometer using deuterated solvents as internal standards. Computational details Theoretical studies were carried out on the [VMo 5 O 19 ] 3- and the cis-[v 2 W 4 O 19 ] 4- POMs. Temperature effects were simulated using NVT Born- Oppenheimer molecular-dynamics simulations (BOMD) at the PBE/DND level (a numerical double-ζ + polarization basis set) using DMol3. 1,2 Water solvation was considered implicitly with the COSMO model. 3 All MD simulations were equilibrated for 1 Perdew, J. P.; Burke, K.; Ernzerhof, M. Phys. Rev. Lett. 1996, 77, 3865. 2 Delley, B., J. Phys. Chem. A 2006, 110, 13632.

1 ps, followed by 2 ps production runs. The time step was 1 fs, the temperature was regulated via a massive generalized Gaussian moment thermostat. 4 Absorption spectra were calculated with the pair-excitation configuration interaction (PECI) method using the semiempirical AM1* (AM1/d for Mo) Hamiltonian and an active space of 24 orbitals (12 occupied and 12 virtual). 5,6,7,8 NH + 4 counterions were used, and water solvation was considered via the SCRF method. 9 Based on the MD snapshot geometries, the counterions were optimized for each snapshot at the PBE/DND level, while the POM geometry was kept frozen. For the spectra shown, every calculated transition was broadened as FWHM=20 nm Gaussian functions. All semiempirical calculations were performed with VAMP. 10 51 V chemical shifts of MD snapshot geometries were calculated using the B3LYP 11 functional with the 6-31++G(d,p) basis set 12,13 on H, O and N atoms and def2-tzvp 14,15 on V and W. The basis sets were taken from the EMSL basis set library. 16 Magnetic shielding tensors were obtained with the gauge-independent atomic orbital method. 17 Acetone solvation was implicitly considered via the polarizable continuum model. 18 Chemical shifts were calculated relative to VOCl 3. Excitation energies for calculations on solvatochromic effects were performed using time-dependent DFT with the same basis set as above and the CAM-B3LYP functional. Geometries were optimized at the BP86/def2-SVP level. The excitation energies refer to the lowest energy excited state with oscillator strength < 0.01. 3 Klamt, A.; Schürmann, G., J. Chem. Soc., Perkin Trans. 1993, 2, 799. 4 R. Windiks, B. Delley, J. Chem. Phys. 2003, 119, 2481. 5 M. J. S. Dewar, E. G. Zoebisch, E. F. Healy, J. J. P. Stewart, J. Am. Chem. Soc. 1985, 107, 3902 3909. 6 H. Kayi, T. Clark, J. Mol. Model., 2009, 15, 1253-1269. 7 A. Voityuk, N. Rösch, J. Phys. Chem. A 2000, 104, 4089 4094. 8 T. Clark, J. Chandrasekhar, J. Israel J. Chem. 1993, 33, 435. 9 G. Rauhut, T. Clark, T. Steinke, J. Am. Chem. Soc. 1993, 115, 9174 9181. 10 T. Clark, A. Alex, B. Beck, F. Burkhardt, J. Chandrasekhar, P. Gedeck, A. Horn, M. Hutter, B. Martin, P. O. Dral, G. Rauhut, W. Sauer, T. Schindler T. Steinke, VAMP 11.0, Erlangen, 2011. 11 A. D. Becke, J. Chem. Phys., 98 (1993) 5648-52. 12 P.C. Hariharan and J.A. Pople, Theoret. Chim. Acta 28, 213 (1973). 13 T. Clark, J. Chandrasekhar, P.v.R. Schleyer, J. Comp. Chem. 4, 294 (1983). 14 F. Weigend and R. Ahlrichs, Phys. Chem. Chem. Phys., 7, 3297 (2005). 15 D. Andrae,U. Haeussermann, M.Dolg, H.Stoll, H.Preuss, Theor. Chim. Acta, 1990, 77, 123-141. 16 Schuchardt, K.L., Didier, B.T., Elsethagen, T., Sun, L., Gurumoorthi, V., Chase, J., Li, J., and Windus, T.L. J. Chem. Inf. Model., 47(3), 1045-1052, 2007, doi:10.1021/ci600510j. 17 K. Wolinski, J. F. Hilton, and P. Pulay, J. Am. Chem. Soc., 112 (1990) 8251-60. 18 J. Tomasi, B. Mennucci, and E. Cancès, J. Mol. Struct. (Theochem), 464 (1999) 211-26.

General remarks: All chemicals were purchased from Sigma Aldrich or ACROS and were of reagent grade. The chemicals were used without further purification unless stated otherwise. 2. Synthesis and analysis: The mixed-metal clusters (nbu 4 N) x+2 [V x M 6-x O 19 ] (M = Mo, W; x = 0-2) were synthesized using an adaptation 19 of the original synthesis reported by Pope et al. 20 2.1 Synthesis of compound 1, ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] Two solutions were prepared: (NMe 4 ) 4 [V 2 W 4 O 19 ] (2.5 g, 1.74 mmol) was dissolved in water (150 ml) and 6,6,6,14 PBr (3.92 g, 6.95 mmol) was dissolved in toluene (150 ml). Both solutions were combined, mixed for 10 minutes and separated using a separating funnel. The aqueous phase was extracted two times with toluene (100 ml). The product was obtained from the combined organic phases by removing the solvent under vacuum. The product was dried under vacuum at 50 C. During drying, the product was lyophilized several times using liquid nitrogen. Yield: 3.90 g (1.26 mmol, 72.8 % based on V) Elemental analysis in wt.-% (calcd.): C 50.45 (49.94), H 9.38 (8.91), N 0.05 (0.00), V 2.98 (3.31), W 24.11 (23.90). The compound is soluble in all organic solvents tested, including polar and non-polar, protic and aprotic as well as chlorinated solvents. Figure 1: Structural representation of [V 2 W 4 O 19 ] 4-, highlighting the possible vanadium positions to give the cis and trans isomer. In this study, the cis-isomer was used. 19 J. Tucher, S. Schlicht, F. Kollhoff, C. Streb, Dalton Trans., 2014, 43, 17029-17033. 20 C. M. Flynn Jr., M. T. Pope, Inorg. Chem. 1971, 10, 2524-2529.

2.2 IR-spectroscopy of 1 Figure 2: FT-IR spectrum of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] showing the characteristic W-O and V-O vibrational modes in the fingerprint region < 1000 cm -1 and the characteristic C-H stretching vibrations at around 2900 cm -1. The FT-IR spectrum of 1 exhibits the characteristic W-O and V-O vibrational modes in the fingerprint region < 1000 cm -1 and the characteristic C-H stretching vibrations in the region of 3000 2850 cm 1 and 1500 1 380 cm 1 which are attributed to C H stretching and C H bending vibrations, respectively. The vibrations of the C P bonds are weak and may be overlapped with C C vibrational bands in the region of 1250 1000 cm 1. The signal at ca. 3500 cm -1 is assigned to a small amount of adsorbed water in the sample.

2.3 UV-Vis spectroscopy Figure 3: UV-Vis spectra of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] obtained in different solvents. Note that the absorption spectrum in hexane is markedly different from the other spectra. Initial investigations suggest that formation of colloids in the solvent might be the underlying cause (based on initial dynamic light scanning (DLS) results). Solvent Extinction Coefficient (l mol -1 cm -1 ) Absorption maximum (nm) chloroform 3609 378 cyclohexane 3248 369 dichlormethane 4129 368 diethylether 3122 373 DMSO 3792 372 hexane (see note above) 3443 363 methanol 4574 373 toluene 3103 371 isopropanol 4220 380 ethanol 5752 378 acetonitril 3160 369

Figure 4: Dielectric constant of the different solvents plotted vs. molar extinction coefficients for ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ]. Figure 5: Dielectric constant of various solvents plotted vs. the absorption maximum of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] in different solvents.

Figure 6: Gutmann acceptor number of the different solvents plotted vs. molar extinction coefficients for ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ]. Figure 7: Gutmann acceptor number of the solvents used plotted vs. the absorption maximum of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] in different solvents.

2.4 Dynamic scanning calorimetry DSC

2.5 Photographs of the thermochromic properties of Lindqvist clusters Figure 8: (nbu 4 N) 4 [V 2 W 4 O 19 ] at room-temperature (left) and directly after freezing in liquid nitrogen (T = 77 K, right). Figure 9: (nbu 4 N) 2 [Mo 6 O 19 ] at room-temperature (left) and directly after freezing in liquid nitrogen (T = 77 K, right).

Figure 10: (Me 4 N) 4 [V 2 W 4 O 19 ] at room-temperature (left) and directly after freezing in liquid nitrogen (T = 77 K, right). Figure 11: K(nBu 4 N) 3 [V 2 Mo 4 O 19 ] at room-temperature (left) and directly after freezing in liquid nitrogen (T = 77 K, right).

Figure 12: (nbu 4 N) 3 [VMo 5 O 19 ] at room-temperature (left) and directly after freezing in liquid nitrogen (T = 77 K, right). Figure 13: (nbu 4 N) 3 [VW 5 O 19 ] at room-temperature (left) and directly after freezing in liquid nitrogen (T = 77 K, right).

2.5 NMR spectroscopy 2.5.1 1 H-NMR Figure 14: 1 H-NMR spectrum of 1 (chloroform-d, 400 MHz): 1.48 (16H; H-B), 1.20 (32H; H-B), 0.80 (12H; H-C) [ppm] = 2.49 (8H; H-A),

2.5.2 13 C-NMR Figure 15: 13 C-NMR spectrum of 1 (chloroform-d, 400 MHz) featuring all 20 expected signals of the product. The signal at 77.1 ppm stems from chloroform. Inset A) enlarges the region from 13-33 ppm, inset B) enlarges the two peaks at 14.09 and 14.12 ppm respectively.

2.5.3 31 P-NMR spectroscopy Figure 16: 31 P-NMR spectrum of 1 (chloroform-d, 400 MHz) featuring one peak at 33.20 ppm with adjacent spinning side bands.

2.5.4 51 V-NMR spectroscopy SH-103II V51 Sh-103II 283K Acetone -466.88 1100 1000 900 800 700 600 500 400 300 200 100 0-100 -200-300 -400 100 50 0-50 -100-150 -200-250 f1 (ppm) -300-350 -400-450 -500-550 Figure 17: Exemplary full 51 V -NMR spectrum of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] in acetone-d6 at 283 K; = -466.88 ppm. The signals at ~45 ppm are a machine artefact. Note that the 51 V-NMR spectrum shows the presence of two species in the [V 2 W 4 O 19 ] 4- solution at = -467 ppm (major product) and = -482 ppm (minor product). The minor product corresponds to the protonated cluster species ([HV 2 W 4 O 19 ] 3- ). 21 21 (a)m. A. Leparulo-Loftus, M. T. Pope, Inorg. Chem. 1987, 26, 2112-2120; (b) I. Andersson, J. J. Hasting, O. W. Howarth, L. Pettersson, Dalton Trans. 1996, 2705-2711; (c) W. G. Klemperer, W. Shum, J. Am. Chem. Soc. 1978, 100, 4891-4893.

Figure 18: Comparison of all 51 V-NMR Signals of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] in acetone-d6 at different temperature with their respective chemical shifts.

Figure 19: Temperature-dependent change of chemical shifts in the 51 V-NMR of ( 6,6,6,14 P) 4 [V 2 W 4 O 19 ] (solvent: acetone-d6). Figure 20: Calculated temperature-dependent change of chemical shifts in the 51 V-NMR of [V 2 W 4 O 19 ] 4-. The chemical shift is the mean value of 161 MD-snapshots per temperature.

Figure 21: Histograms of all calculated 51 V chemical shifts for the three MD trajectories.

3. Computational section Solvatochromism: Solvatochromic effects were studied by using different solvent parameters in the PCM model. Furthermore, we compared the bare [V 2 W 4 O 19 ] 4- cluster with the protonated species and the same cluster in the presence of NH + 4 counterions. The results are compiled in table S1. The polarizable continuum model predicts increasing excitation energies with increasing solvent permittivity, leading to shifts of few nm. This is consistent with the observed blue-shifted absorption onset for polar solvents, although the experimentally determined effect is stronger. Interactions with NH + 4 counterions via hydrogen bonds or protonation of the cluster have significantly stronger effects than changing the continuum model, leading to increased excitation energies by 0.1-0.2 ev. This indicates that specific molecular interactions between cluster and solvent must be taken into account to accurately reproduce the solvatochromism. Table S1: TD-CAM-B3LYP excitation energies for different dielectric environments Cluster / Implicit Solvent Relative Excitation Energy / Wavelength / nm Permittivity ev V 2 W 4 O 4-19 / Benzene 2.2706 3.6512 339.57 V 2 W 4 O 4-19 / Diethylether 4.24 3.6665 338.15 V 2 W 4 O 4-19 / Dichloromethane 8.93 3.6734 337.52 V 2 W 4 O 4-19 / Acetone 20.493 3.6798 336.94 V 2 W 4 O 4-19 / Ethanol 24.852 3.6804 336.88 V 2 W 4 O 4-19 / Methanol 32.613 3.682 336.73 V 2 W 4 O 4-19 / Acetonitrile 35.688 3.6818 336.75 V 2 W 4 O 4-19 / Water 78.3553 3.6833 336.61 V 2 W 4 O 19 4- / Acetone 20.493 3.6798 336.94 [V 2 W 4 O 19 ][NH 4 ] 4 / Acetone 20.493 3.7402 331.49 V 2 W 4 O 19 H 3- / Acetone 20.493 3.821 324.48 Thermochromism: The structural dynamics of VMo 5 O 19 3- at 100 and 300 K are illustrated in Fig. 22. The increased mobility of the cage and template has consequences for the electronic structure of the POM. Fig. 23, shows a histogram of HOMO and LUMO

eigenvalues collected during 2 ps MD simulations of VMo 5 O 3-19 and V 2 W 4 O 4-19 at different temperatures. The energy distributions of the HOMOs and LUMOs broaden with increasing temperature. Furthermore, the center of the HOMO distribution shifts towards higher energies, while the LUMO distribution shifts towards lower energies (to a lesser extent). Both effects result in a decrease of the average HOMO-LUMO gap. Figure 22: Sampled structures of VMo 5 O 19 3- from MD simulations at 100 and 300 K. Color code is V (grey), Mo (cyan) and O (red). Figure 23: Histograms of HOMO and LUMO eigenvalues collected from 2 ps MD runs at 100 (black), 200 (red) and 300 K (blue). To obtain a direct confirmation for the link between temperature and red-shifted absorption, we sampled 20 structures each from the MD runs at 100, 200 and 300 K and calculated their absorption spectra at the PECI-AM1* level. Since the AM1* Hamiltonian has not been parameterized for W, these calculations were only performed for the (NH 4 ) 3 [VMo 5 V 19 ] POM. The resulting averaged spectra are shown in Fig 24. In

agreement with experiment, we observe a strong red shift of the lowest-energy absorption. These simulations clearly show that temperature-induced structural dynamics of the POM cage and template ion are the cause for the experimentally observed thermochromism. Figure 24: Simulated UV/Vis spectra of (NH 4 ) 3 [VMo 5 V 19 ], averaged over 20 structures sampled from MD simulations at different temperatures. Our calculations also provide some insight into the nature of the light absorption in this compound. The S 1 excited state of (NH 4 ) 3 [VMo 5 V 19 ] has clear ligand-to-metal charge transfer (LMCT) character. The calculated Coulson charges of ground and excited states indicate the transfer of around 0.5 e - from oxygen to metal atoms. The charge differences for each POM atom are shown in Fig. 25.

Figure 25: Charge differences in the S1 excitation of (NH 4 ) 3 [VMo 5 V 19 ]. Blue indicates an increased (more positive), red a decreased charge.