Olga
Botezat
ab,
Jan
van Leusen
b,
Victor
Ch. Kravtsov
a,
Arkady
Ellern
c,
Paul
Kögerler
*b and
Svetlana G.
Baca
*a
aInstitute of Applied Physics, Academy of Science of Moldova, MD2028 Chisinau, R. Moldova. E-mail: sbaca_md@yahoo.com; Fax: +373-22-738154; Tel: +373-22-725887
bInstitute of Inorganic Chemistry, RWTH Aachen University, 52074 Aachen, Germany. E-mail: paul.koegerler@ac.rwth-aachen.de; Fax: +49-241-80-92642; Tel: +49-241-80-93642
cDepartment of Chemistry, Iowa State University, Ames, IA 50011, USA
First published on 4th November 2015
A series of new octanuclear propeller-like aminoalcohol-supported Fe(III) oxocarboxylate coordination clusters, [Fe8O3(O2CCHMe2)9(tea)(teaH)3]·MeCN·2(H2O) (1), [Fe8O3(O2CCHMe2)6(N3)3(tea)(teaH)3] (2), [Fe8O3(O2CCMe3)6(N3)3(tea)(teaH)3]·0.5(EtOH) (3), and [Fe8O3(O2CCHMe2)6(N3)3(mdea)3(MeO)3] (4) (where teaH3 = triethanolamine; mdeaH2 = N-methyldiethanolamine) has been isolated and magnetochemically analyzed combining the programs wxJFinder and CONDON in an approach to avoid overparameterization issues that are common to larger spin polytopes. Dominant antiferromagnetic exchange interactions exist in all clusters along the edges of the propellers, while moderate ferromagnetic interactions are found along the propeller axes in their {Fe8O3} metallic cores.
Although high-spin FeIII nuclei in (distorted) octahedral ligand fields are readily described as pure spin-5/2 centers, the magnetic characteristics of polynuclear FeIII clusters are increasingly complicated with each additional center. This is due to the growing number of structurally inequivalent nuclei and the proliferation of exchange pathways (n centers, n(n − 1)/2 pathways). We have recently demonstrated that in the case of μ2+m-O-bridged FeIII centers, the angular overlap model (AOM) can reliably assess inter- and intra-cluster interactions in hexanuclear FeIII pivalate clusters [Fe6O2(O2CH2)(O2CCMe3)12] bridged into 1D chains by 1,4-dioxane or 4,4′-bipyridine spacers.10 To obtain reasonable initial values of the exchange coupling constants for the fitting routines of CONDON 2.0,11 we introduced the program wxJFinder,10,12 which combines AOM and structural information by extending the concepts of Weihe et al.13a and Werner et al.13b We herein demonstrate this approach on more complex FeIII spin systems consisting of eight metal centers. For this purpose we prepared a series of new disk-like iron(III) oxocarboxylate cluster compounds of composition [Fe8O3(O2CCHMe2)9(tea)(teaH)3]·MeCN·2(H2O) (1), [Fe8O3(O2CCHMe2)6(N3)3(tea)(teaH)3] (2), [Fe8O3(O2CCMe3)6(N3)3(tea)(teaH)3]·0.5(EtOH) (3) and [Fe8O3(O2CCHMe2)6(N3)3(mdea)3(MeO)3] (4). These were synthesized by the reaction of smaller μ3-oxo-centered trinuclear FeIII carboxylate precursors, [Fe3O(O2CCHMe2)6(H2O)3]NO3·2(MeCN)·2(H2O) (5) or [Fe3O(O2CCMe3)6(H2O)3](Me3CCO2H)·2(Me3CCO2H),14 with triethanolamine (teaH3) or N-methyldiethanolamine (mdeaH2) under various reaction conditions. Christou et al.15 reported the first similar {Fe8} benzoate cluster with teaH3, [Fe8O3(O2CPh)9(tea)(teaH)3]·MeCN, and this motif has been extended by Murray et al.16 and Powell et al.17 to a series of {Fe8} disk-like propionate and pivalate clusters of the general formula [Fe8O3(O2CR)6(tea)(teaH)3(L)3]·solvent, where R = CH2Me, L = F;16 R = CMe3, L = N3 or SCN.17 The flexibility of teaH3 ligands has been explored by the groups of Wang and Gao18 in the preparation of an {Fe64} cluster consisting of eight octanuclear [Fe8O3(O2CH)6(tea)(teaH)3] units. Using the mixed-ligand system of flexible teaH3 and phenolic oxime, e.g. salicylaldoxime and its derivatives, Brechin et al.19 have synthesized a series of {Fe8} acetate clusters with similar metallic cores, [Fe8O3(O2CMe)(R-sao)3(tea)(teaH)3] (R = Me, Et, and Ph).
1 | 2 | 3 | 4 | |
---|---|---|---|---|
Empirical formula | C62H121Fe8N5O35 | C48H93Fe8N13O27 | C55H108Fe8N13O27.5 | C42H84Fe8N12O24 |
M r/g mol–1 | 1943.44 | 1731.15 | 1838.34 | 1588.01 |
T/K | 173(2) | 293(2) | 100(2) | 100(2) |
Wavelength/Å | 0.71073 | 0.71073 | 0.71073 | 0.71073 |
Crystal system | Monoclinic | Cubic | Triclinic | Triclinic |
Space group | P21/n |
Pa![]() |
P![]() |
P![]() |
Unit cell dimensions | ||||
a/Å | 15.843(2) | 24.0880(10) | 13.2984(6) | 13.616(5) |
b/Å | 20.180(3) | 24.0880(10) | 20.6844(9) | 14.653(5) |
c/Å | 26.004(3) | 24.0880(10) | 29.1684(12) | 18.767(6) |
α/° | 90 | 90 | 79.5700(10) | 97.800(5) |
β/° | 91.680(2) | 90 | 80.0600(10) | 101.667(5) |
γ/° | 90 | 90 | 86.1600(10) | 114.859(5) |
V/Å3 | 8310.5(18) | 13976.62(10) | 7767.0(6) | 3222.8(19) |
Z, ρ/Mg m–3 | 4, 1.553 | 8, 1.645 | 4, 1.572 | 2, 1.636 |
μ/mm–1 | 1.441 | 1.698 | 1.533 | 1.829 |
F(000) | 4064 | 7168 | 3828 | 1640 |
Crystal size/mm3 | 0.100 × 0.040 × 0.040 | 0.30 × 0.30 × 0.20 | 0.25 × 0.2 × 0.15 | 0.39 × 0.20 × 0.10 |
θ range for data collection/° | 1.49–24.72 | 2.93–25.49 | 0.72–25.00 | 1.72–21.73 |
Index ranges | –18 ≤ h ≤ 18, −23 ≤ k ≤ 23, −30 ≤ l ≤ 30 | −29 ≤ h ≤ 16, −28 ≤ k ≤ 29, −29 ≤ l ≤ 17 | −15 ≤ h ≤ 15, −24 ≤ k ≤ 24, −34 ≤ l ≤ 34 | −14 ≤ h ≤ 14, −15 ≤ k ≤ 15, −19 ≤ l ≤ 19 |
Reflections collected | 63![]() |
34![]() |
84![]() |
24![]() |
Independent reflections | 14![]() |
4344 [Rint = 0.0409] | 27![]() |
7607 [Rint = 0.0889] |
Completeness to θmax | 100.0% | 99.8% | 99.9% | 99.8% |
Data/restraints/parameters | 14174/446/1049 | 4344/7/309 | 27350/54/1937 | 7607/19/810 |
Goodness-of-fit on F2 | 1.001 | 1.003 | 1.013 | 1.000 |
Final R indices [I > 2σ(I)]: R1, wR2 | 0.0591, 0.1423 | 0.0355, 0.0900 | 0.0429, 0.0944 | 0.0457, 0.1060 |
R indices (all data): R1, wR2 | 0.1085, 0.1774 | 0.0533, 0.1000 | 0.0603, 0.1049 | 0.0779, 0.1219 |
Largest diff. peak, hole (e Å–3) | 1.092, −0.898 | 0.345, −0.411 | 2.124, −1.960 | 0.714, −0.488 |
Method A. In a typical experiment the mixture of 5 (0.094 g, 0.1 mmol), NaN3 (0.022 g, 0.33 mmol) and teaH3 (0.055 g, 0.36 mmol) in 10 mL EtOH (MeOH or 1:
1 EtOH/CH2Cl2 could also be used) was heated at reflux for 60 min and then filtered. The filtrate was kept in a closed vial whose lid was pierced with several holes at room temperature. The black hexagonal crystals of 2 suitable for X-ray analysis were filtered off the next day, washed with hexane and dried in air. Yield: 0.045 g, 69% (based on Fe) in EtOH; 0.048 g (74%) in MeOH; 0.034 g (52%) in EtOH/CH2Cl2.
Method B. The mixture of 5 (0.094 g, 0.1 mmol), NaN3 (0.024 g, 0.36 mmol) and teaH3 (0.053 g, 0.35 mmol) in 10 mL EtOH was placed under ultrasonic irradiation for 32 min and then filtered. The filtrate was kept in a closed vial whose lid was pierced with several holes at room temperature. The black hexagonal crystals of 2 suitable for X-ray analysis were filtered off the next day, washed with hexane and dried in air. Yield: 0.045 g, 69%.
The identity of 2 prepared by methods A and B was established by comparison of IR data, elemental and TG analyses as well as by single-crystal X-ray diffraction analysis. Elemental analysis for 2 prepared by method A in EtOH, calcd for C48H93Fe8N13O27 (1731.08 g mol−1): C, 33.30; H, 5.41; N, 10.52%. Found: C, 33.56; H, 5.47; N, 10.23%. IR (KBr pellet): ν = 3416 (br. m), 2969 (m), 2925 (m), 2865 (m), 2068 (vs), 1577 (vs), 1471 (s), 1429 (s), 1391 (m), 1375 (sh), 1348 (sh), 1311 (m), 1098 (s), 1071 (m), 1038 (sh), 1004 (sh), 926 (sh), 909 (m), 875 (w), 579 (m), 515 (m), 414 (m) cm−1.
The IR spectra of 1–4 display very strong and broad bands in the 1584–1577 cm−1 and 1429–1426 cm−1 regions that arise from the asymmetric and symmetric vibrations of the coordinated carboxylate groups, respectively. In the range of 2969–2865 cm−1 the C–H asymmetric and symmetric stretching vibrations for methyl groups of pivalates and isobutyrates are observed, while the asymmetric and symmetric bending vibrations for these methyl groups produce a strong single band in the region of 1484–1472 cm−1 and a doublet in the region of 1380–1340 cm−1, respectively. The presence of solvate water (1) and ethanol (3) molecules, and OH groups of the doubly deprotonated teaH2− ligands in 1, 2 and 3, caused the appearance of broad absorption bands in the region of 3471–3385 cm−1. A very strong peak in the range of 2068–2059 cm−1 corresponds to the NN stretching vibrations of azide ligands in 2, 3 and 4.
Thermogravimetric analyses (TGA) for 1–4 were performed under a nitrogen atmosphere in the temperature range of 25–800 °C (Fig. S7–S10†). The TGA data show that the thermal decomposition of clusters 1–3 with triethanolamine ligands proceeds through several stages: the main weight loss steps of 64.3% (1), 59.4% (2) and 59.3% (3) take place between 100 and 450 °C; these correspond to removal of the organic groups of the clusters. The remaining organic ligands decomposed in one step within the range of 540–790 °C to the final metal oxide products. Cluster 1 loses the organic ligands (three molecules of the aminoalcohol ligand and nine pivalates) in two steps from 120 °C to 400 °C; the total first weight loss of 64.3% (calcd: 63.1%) is accompanied by an endothermic peak at 229 °C. The decomposition of the remaining tea3− ligand takes place in the interval from 570 to 770 °C. Clusters 2 and 3 are stable up to 120 °C, and then they start to decompose in three weakly resolved steps until approx. 450 °C. The first two steps of the TGA curve of 2 are associated with an endothermic peak at 205 °C with a weight loss up to 230 °C; this corresponds to removal of the three azido groups and one carboxylate ligand (found: 13.8%; calcd: 12.3%). The third step for 2 is the loss of three teaH2− and five isobutyric groups (found: 45.6%; calcd: 45.4%). Similar to 2, cluster 3 in the temperature range of 120–225 °C exhibits a first weight loss of 8.9% (calcd: 8.1%) that indicates removal of the solvent (ethanol) molecule and three azido groups (exothermic effect at 220 °C). The next two steps correspond to the decomposition of four molecules of amino-alcohol ligands (one tea3− and three teaH2−) and four pivalates, for a total weight loss of 50.5% (calcd: 54.0%). After a plateau extending to 540 °C, further heating of 2 and 3 instigates a fourth weight loss of 8.1% (2) and 9.9% (3) until 630 °C, and this corresponds to removal of the remaining aminoalcohol ligand (calcd: 8.4% for 2 and 11.0% for 3) to give the oxides with a total weight loss of 67.5% (2) and 69.2% (3) (calcd: 68.7% for 2 and 73.1% for 3). The TGA data show that cluster 4 is the least stable compound. It remains stable up to 180 °C followed by the loss of all organics in three unresolved steps until ∼400 °C, with a total weight loss of 57.9% (calcd: 61.1%) to the final metal oxides. The decomposition is accompanied by one exothermic peak at 234 °C and one endothermic peak at 279 °C.
The propeller-shaped cores of these clusters have two central axial FeIII ions that are bridged by three μ4-O2−; these further bridge two peripheral FeIII ions to form one of the three blades of the propeller (Fig. 1 and S1†). These outer Fe pairs are not coplanar, and thus the outer six Fe ions do not form a flat wheel; they form two triangles that reside on two different parallel plains and separated by 1.709 Å in 2 or mutually inclined with dihedral angles of 2.43° in 1, 5.31° and 3.51° in 3, and 2.55° in 4. The central pair of iron ions represents the axle of the propeller with the shortest Fe⋯Fe distances of 2.897(1) Å in 1, 2.873(6) Å in 2, 2.895(7) Å and 2.911(8) Å in 3, and 2.792(2) Å in 4. The distances between the central and peripheral Fe atoms range from 2.962(1) to 3.133(1) Å in 1, from 2.988(6) to 3.139(6) Å in 2, from 2.962(8) to 3.139(7) Å in 3 and from 2.990(2) to 3.077(2) Å in 4. Additionally, in 1–3 the FeIII ions are bridged by four triethanolamine ligands: three doubly deprotonated (teaH2−) and one triply deprotonated (tea3−), and also carboxylate groups (pivalates in 1 and 3, and isobutyrate in 2). In 4, eight FeIII atoms are furthermore bridged by three fully deprotonated N-methyldiethanolamine, six isobutyrate groups, and three methoxide anions. Three monodentate pivalate ligands in 1 and three azide ligands in 2–4 complete the coordination spheres of three outer FeIII atoms. The replacement of these monodentate ligands might permit further linkage to form higher dimensionality clusters and cluster-based polymeric networks.18
In clusters 1–4, each Fe atom is in the +3 oxidation state (BVS, 2.711–3.197 (Table S1†)) and has a distorted octahedral geometry. The axial FeIII ions are all O6-coordinated: for 1–3 one of the axial FeIII atoms is coordinated by three μ4-oxo atoms and three oxygen atoms from three triethanolamine ligands; whereas another FeIII atom is bonded to three μ4-oxo atoms and three oxygen atoms from one triply deprotonated tea3−. In cluster 4, one of the central FeIII atoms is capped by three μ4-O2− atoms, two alkoxide O atoms from two mdea2− and a methoxide O atom, while another central FeIIIvia three μ4-O2− atoms, one alkoxide O atom from mdea2− and two methoxide O atoms. The six peripheral FeIII atoms in 1 have different coordination environments: three Fe atoms have an O6 donor set being coordinated by a μ4-O2− atom, three O atoms from two bridging and one monodentate carboxylates and two O atoms from one doubly deprotonated (teaH2−) and one triply deprotonated (tea3−) ligand, while the other three metal atoms each have an O5N donor set arising from one μ4-O2− atom, two O atoms from two bridging pivalates, and two O atoms and one N atom from one teaH2−. In clusters 2–4, the six peripheral iron atoms all have an O5N coordination environment. For 2 and 3, the O5N coordination geometries for three peripheral FeIII atoms arise from a μ4-oxygen atom, two O atoms from two polyalcohol ligands, two O atoms from two carboxylate groups and one N atom from azide; the remaining peripheral FeIII atoms are each ligated by a μ4-oxygen atom, two O atoms from one doubly deprotonated polyalcohol ligand, two O atoms from two carboxylate groups and one N atom from the same teaH2−. In cluster 4, three FeIII atoms are each coordinated by a μ4-oxygen atom, two O atoms from two bridging carboxylate groups, an O atom from a mdea2− ligand, an O atom of the MeO− group and a N atom from azide; the remaining three FeIII atoms are each coordinated by a μ4-oxygen atom, two O atoms from two bridging carboxylate groups, and two O atoms from a mdea2− ligand. All of the Fe–O bond distances in 1–4 are in the range of 1.900(4)–2.313(2) Å (Fe–μ4-O: 1.916(4)–2.313(2) Å, Fe–Ocarb: 1.935(2)–2.106(2) Å, and Fe–Oalc: 1.900(4)–2.013(4) Å). The Fe–Nazide distances (only in 2–4) range from 2.021(6) to 2.089(3) Å, whereas the Fe–Nalc distances are distinctly longer, 2.205(5)–2.357(3) Å (Table 2).
#1 y, z, x, #2 z, x, y. | |||||||
---|---|---|---|---|---|---|---|
1 | |||||||
Fe1–O28 | 1.934(4) | Fe3–O33 | 1.961(4) | Fe5–O20 | 1.958(5) | Fe7–O8 | 1.958(4) |
Fe1–O25 | 1.936(4) | Fe3–O2 | 1.976(4) | Fe5–O31 | 1.969(4) | Fe7–O32 | 1.971(4) |
Fe1–O22 | 1.945(4) | Fe3–O14 | 1.976(4) | Fe5–O26 | 1.986(4) | Fe7–O23 | 1.977(5) |
Fe1–O1 | 2.049(4) | Fe3–O29 | 1.987(4) | Fe5–O3 | 1.998(4) | Fe7–O1 | 1.996(4) |
Fe1–O2 | 2.055(4) | Fe3–O11 | 2.037(5) | Fe5–O17 | 2.043(5) | Fe7–O4 | 2.049(5) |
Fe1–O3 | 2.115(4) | Fe3–O13 | 2.063(5) | Fe5–O19 | 2.095(4) | Fe7–O6 | 2.056(5) |
Fe2–O32 | 1.929(4) | Fe4–O3 | 1.933(4) | Fe6–O1 | 1.940(4) | Fe8–O2 | 1.954(4) |
Fe2–O31 | 1.936(4) | Fe4–O28 | 1.978(4) | Fe6–O25 | 1.972(4) | Fe8–O22 | 1.966(4) |
Fe2–O33 | 1.938(4) | Fe4–O29 | 1.980(4) | Fe6–O26 | 1.990(4) | Fe8–O23 | 1.978(5) |
Fe2–O3 | 2.183(4) | Fe4–O18 | 2.002(5) | Fe6–O7 | 2.007(5) | Fe8–O12 | 1.986(5) |
Fe2–O2 | 2.210(4) | Fe4–O16 | 2.044(5) | Fe6–O5 | 2.043(4) | Fe8–O10 | 2.054(5) |
Fe2–O1 | 2.233(4) | Fe4–N3 | 2.292(5) | Fe6–N2 | 2.294(5) | Fe8–N1 | 2.285(5) |
2 | |||||||
Fe1–O6#1 | 1.937(2) | Fe2–O8#1 | 1.945(2) | Fe3–O1 | 1.943(2) | Fe4–O6 | 1.984(2) |
Fe1–O6#2 | 1.937(2) | Fe2–O8 | 1.945(2) | Fe3–O2 | 1.985(2) | Fe4–O7#2 | 1.992(2) |
Fe1–O6 | 1.937(2) | Fe2–O8#2 | 1.945(2) | Fe3–O8 | 1.992(2) | Fe4–O1 | 2.007(2) |
Fe1–O1#1 | 2.198(2) | Fe2–O1#1 | 2.075(2) | Fe3–O7 | 2.007(2) | Fe4–O5 | 2.030(2) |
Fe1–O1#2 | 2.198(2) | Fe2–O1 | 2.075(2) | Fe3–O4 | 2.049(2) | Fe4–N3 | 2.050(3) |
Fe1–O1 | 2.198(2) | Fe2–O1#2 | 2.075(2) | Fe3–N2 | 2.273(3) | Fe4–O3 | 2.106(2) |
3 | |||||||
Fe1–O25 | 1.943(2) | Fe5–O2 | 1.974(2) | Fe9–O44 | 1.942(2) | Fe13–O54 | 1.967(2) |
Fe1–O27 | 1.956(2) | Fe5–O19 | 1.977(2) | Fe9–O47 | 1.946(2) | Fe13–O43 | 1.990(3) |
Fe1–O26 | 1.962(3) | Fe5–O25 | 1.991(2) | Fe9–O49 | 1.958(2) | Fe13–O29 | 1.993(2) |
Fe1–O3 | 2.142(2) | Fe5–N7 | 2.030(3) | Fe9–O29 | 2.060(2) | Fe13–O35 | 2.031(3) |
Fe1–O1 | 2.186(2) | Fe5–O7 | 2.048(3) | Fe9–O30 | 2.073(2) | Fe13–N21 | 2.043(3) |
Fe1–O2 | 2.313(2) | Fe5–O5 | 2.077(3) | Fe9–O28 | 2.074(2) | Fe13–O37 | 2.083(3) |
Fe2–O23 | 1.927(3) | Fe6–O3 | 1.961(2) | Fe10–O54 | 1.937(2) | Fe14–O29 | 1.936(2) |
Fe2–O17 | 1.935(2) | Fe6–O19 | 1.981(2) | Fe10–O52 | 1.941(2) | Fe14–O47 | 1.980(2) |
Fe2–O20 | 1.959(3) | Fe6–O20 | 1.985(2) | Fe10–O53 | 1.952(3) | Fe14–O38 | 1.983(3) |
Fe2–O2 | 2.045(2) | Fe6–O8 | 2.008(3) | Fe10–O30 | 2.153(2) | Fe14–O46 | 2.000(3) |
Fe2–O3 | 2.051(2) | Fe6–O10 | 2.041(3) | Fe10–O28 | 2.208(2) | Fe14–O36 | 2.061(3) |
Fe2–O1 | 2.134(2) | Fe6–N2 | 2.272(3) | Fe10–O29 | 2.257(2) | Fe14–N15 | 2.257(3) |
Fe3–O27 | 1.971(2) | Fe7–O26 | 1.974(3) | Fe11–O52 | 1.992(2) | Fe15–O53 | 1.964(2) |
Fe3–O16 | 1.980(2) | Fe7–O22 | 1.987(3) | Fe11–O50 | 1.993(2) | Fe15–O46 | 1.977(3) |
Fe3–O1 | 1.983(2) | Fe7–O3 | 2.004(2) | Fe11–O28 | 2.010(2) | Fe15–O30 | 1.989(2) |
Fe3–O15 | 2.048(3) | Fe7–O11 | 2.025(3) | Fe11–N18 | 2.025(3) | Fe15–O39 | 2.026(3) |
Fe3–N4 | 2.060(3) | Fe7–N10 | 2.058(4) | Fe11–O31 | 2.039(3) | Fe15–O41 | 2.042(3) |
Fe3–O13 | 2.066(3) | Fe7–O9 | 2.075(3) | Fe11–O33 | 2.071(2) | Fe15–N24 | 2.089(3) |
Fe4–O2 | 1.939(2) | Fe8–O1 | 1.933(2) | Fe12–O28 | 1.942(2) | Fe16–O30 | 1.954(2) |
Fe4–O16 | 1.980(2) | Fe8–O22 | 1.970(3) | Fe12–O34 | 1.987(3) | Fe16–O50 | 1.963(2) |
Fe4–O17 | 1.981(3) | Fe8–O23 | 1.987(3) | Fe12–O43 | 1.988(3) | Fe16–O49 | 2.004(2) |
Fe4–O4 | 2.002(3) | Fe8–O12 | 2.021(3) | Fe12–O44 | 1.993(2) | Fe16–O40 | 2.012(3) |
Fe4–O6 | 2.032(3) | Fe8–O14 | 2.043(3) | Fe12–O32 | 2.039(3) | Fe16–O42 | 2.021(3) |
Fe4–N1 | 2.299(3) | Fe8–N3 | 2.291(3) | Fe12–N14 | 2.258(3) | Fe16–N16 | 2.357(3) |
4 | |||||||
Fe1–O26 | 1.912(4) | Fe3–O18 | 1.985(4) | Fe5–O25 | 1.995(4) | Fe7–O3 | 1.924(4) |
Fe1–O19 | 1.920(4) | Fe3–O24 | 2.013(4) | Fe5–O20 | 2.005(4) | Fe7–O23 | 1.978(4) |
Fe1–O21 | 1.944(4) | Fe3–O1 | 2.018(4) | Fe5–N7 | 2.021(6) | Fe7–O22 | 1.992(4) |
Fe1–O1 | 2.059(4) | Fe3–O17 | 2.020(5) | Fe5–O2 | 2.023(4) | Fe7–O13 | 2.010(4) |
Fe1–O2 | 2.122(4) | Fe3–N4 | 2.026(6) | Fe5–O9 | 2.036(4) | Fe7–O11 | 2.056(5) |
Fe1–O3 | 2.129(4) | Fe3–O15 | 2.033(4) | Fe5–O7 | 2.057(5) | Fe7–N3 | 2.205(5) |
Fe2–O24 | 1.900(4) | Fe4–O2 | 1.926(4) | Fe6–O3 | 1.916(4) | Fe8–O26 | 1.988(4) |
Fe2–O22 | 1.943(4) | Fe4–O18 | 1.986(4) | Fe6–O21 | 1.978(4) | Fe8–O23 | 2.005(4) |
Fe2–O25 | 1.947(4) | Fe4–O6 | 2.001(5) | Fe6–O20 | 1.996(4) | Fe8–O14 | 2.017(5) |
Fe2–O2 | 2.070(4) | Fe4–O19 | 2.004(4) | Fe6–O10 | 2.008(4) | Fe8–N10 | 2.038(6) |
Fe2–O1 | 2.078(4) | Fe4–O8 | 2.041(4) | Fe6–O12 | 2.050(4) | Fe8–O1 | 2.040(4) |
Fe2–O3 | 2.124(4) | Fe4–N1 | 2.223(5) | Fe6–N2 | 2.212(5) | Fe8–O16 | 2.052(4) |
The presence of the uncoordinated alkoxide groups of teaH2− in 1–3 and N-containing azide ligands in 2 and 3, as well as solvate molecules (H2O in 1 and an ethanol molecule in 3), results in the formation of hydrogen-bonded networks in 1–3 (Table 3). In cluster 1, two solvate water molecules (O34 and O35) form an O–H⋯O hydrogen bond of 2.762(14) Å with each other and several intermolecular hydrogen bonds of 2.696(13)–2.840(11) Å with the uncoordinated alkoxide groups from the neighboring clusters to generate a 3D hydrogen-bonded network. Some additional contacts between uncoordinated carboxylate oxygens of monodentate pivalates and the uncoordinated protonated alkoxide oxygens are also presented (Table 3). In cluster 2, a 3D hydrogen-bonded network is formed by the intermolecular O–H⋯N contacts of 2.868(6) Å between alkoxide oxygens of teaH2− and N atoms from azide ligands. For cluster 3, the two crystallographically independent clusters form five O–H⋯N hydrogen bonds of 2.758(5)–2.900(5) Å between their uncoordinated alcohol groups (O18, O21, O24 atoms from one cluster and O48 and O51 atoms from another one) and nitrogen atoms of azides from the neighboring clusters (N26 [x − 1, y, z + 1], N23, N10 [−x + 1, −y + 1, −z + 1], N24 [−x + 1, −y, −z ], and N6 [x + 1, y, z − 1] atoms, respectively) to generate a 2D layer as shown in Fig. S5.† The remaining protonated oxygen atom (O45) of the teaH2− ligand forms a short hydrogen bond of 2.707(5) Å with the oxygen atom (O55 [−x + 1, −y + 1, −z + 1]) of an ethanol molecule; and finally the solvate EtOH molecules connect the adjacent layers into a 3D network through O–H⋯O hydrogen bonds (O55–H55⋯O51 [x, y, z + 1] of 2.692(5) Å).
D–H⋯A | d(D–H) | d(H⋯A) | d(D⋯A) | ∠(DHA) |
---|---|---|---|---|
1 | ||||
O35–H35E⋯O30 | 0.87 | 1.98 | 2.757(10) | 149.0 |
O35–H35D⋯O27#1 | 0.87 | 1.969 | 2.836(11) | 175.0 |
O34–H34B⋯O15 | 0.90 | 1.995 | 2.873(11) | 164.0 |
O34–H34A⋯O35#2 | 0.88 | 1.89 | 2.765(15) | 174.0 |
O30–H30A⋯O15#3 | 0.82 | 1.90 | 2.717(8) | 172.8 |
O27–H27⋯O34#4 | 0.84 | 1.88 | 2.703(14) | 166.8 |
O24–H24⋯O21#4 | 0.82 | 1.95 | 2.752(7) | 167.0 |
#1 −x + 1, −y + 1, −z + 1, #2 −x + 1/2, y + 1/2, −z + 1/2, #3 −x + 1/2, y − 1/2, −z + 1/2, #4 −x + 3/2, y − 1/2, −z + 1/2. | ||||
2 | ||||
O9–H9⋯N3#3 | 0.82 | 2.10 | 2.868(6) | 156.0 |
#3 x, −y + 1/2, z − 1/2. | ||||
3 | ||||
O51–H51⋯N6#1 | 0.84 | 1.93 | 2.758(5) | 168.1 |
O48–H48⋯N24#2 | 0.84 | 2.06 | 2.883(4) | 167.4 |
O45–H45⋯O55#3 | 0.84 | 1.89 | 2.707(5) | 162.8 |
O24–H24⋯N10#3 | 0.90 | 1.95 | 2.825(5) | 163.1 |
O21–H21⋯N23 | 0.84 | 2.08 | 2.871(5) | 155.6 |
O18–H18⋯N26#4 | 0.84 | 2.08 | 2.900(5) | 165.3 |
O55–H55⋯O51#5 | 0.84 | 1.85 | 2.692(5) | 178.8 |
#1 x + 1, y, z − 1, #2 −x + 1, −y, −z, #3 −x + 1, −y + 1, −z + 1 #4 x − 1, y, z + 1, #5 x, y, z + 1. |
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Fig. 2 Temperature dependence of the magnetic susceptibility χm of 1–4 at 0.1 Tesla; inset: temperature dependence of the corresponding effective magnetic moment μeff. |
Due to computational limitations (the Hilbert space dimension for the eight spin-5/2 centers amounts to 68) several approximations are required to model the magnetic data of compounds 1–4. Although exhibiting different (distorted octahedral) ligand-field environments, each of the eight FeIII centers is treated as an effective S = 5/2 center due to the energy splitting of their 3d5 systems. Thus, their exchange interactions are described by an effective isotropic Hamiltonian including a g-value of geff = 2. Since 1–4 are each composed of eight centers, the total number of exchange interaction parameters Jij is 28 ((n − 1)n/2). To reduce the number of independent parameters, the computer program wxJFinder10,12 has been used to determine which of the interactions are negligible or may be treated as identical. Adopting the ideas of Weihe and Güdel13a as well as Werner et al.,13b the calculations of wxJFinder are based on the angular overlap model (AOM) taking into account various experimental datasets for compounds containing oxo-bridged FeIII centers. Therefore, these calculations deliver the expected ranges for the exchanged interaction parameters based upon structural information.
Due to the similar structures of 1–3, the simulated exchange parameters differ by small amounts from one compound to another. Therefore, the coupling scheme that is applied in the fit to the effective spin Hamiltonian is explained using the example of compound 3. The calculations of wxJFinder show that 15 of the 28 exchange interaction parameters are negligible. 12 of the remaining 13 parameters are divided into four categories, each represented by three (almost) identical parameters. Thus, all compounds are described by effective Hamiltonians that contain five independent exchange parameters Ji as depicted in Fig. 3 (notation: ).
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Fig. 3 Coupling scheme of 1–3 using the example of compound 3: (a) front view, (b) side view. FeIII atoms are shown as yellow spheres, O atoms as red balls, and N atoms as blue balls. |
From a magnetochemical perspective, compound 4 is different from 1–3 in that a single azide and a single amine ligand exchange places, leading to a different set of exchange paths and parameters: J1, J2 and J3 describe the exchange interactions as in 1–3, while J5 represents the interaction between the two neighboring FeIII centers that both feature amine ligands. J6 is the corresponding interaction between the two adjacent FeIII centers that are ligated by azides, and the remaining four interactions (two neighboring centers featuring an azide and an amine ligand, respectively) are all reproduced by J4.
The parameters calculated by wxJFinder are employed as initial values for the corresponding fit of the effective Hamiltonian to the magnetic susceptibility data. These fits are performed by the computer program CONDON 2.0.11 They result in exchange interaction parameters which differ from the calculated initial values by 8 cm−1 or less. A possible paramagnetic impurity is included in the model by the equation χm,meas = (1 − ρ)χm,comp + 8ρχm,pm where χm,meas is the measured molar magnetic susceptibility, and χm,comp and χm,pm are the susceptibilities of a compound and of a single spin-5/2 center, respectively.
The resulting fit parameters are shown in Table 4 and the corresponding curves as straight lines in Fig. 2. According to the Heisenberg model employed here, all compounds are characterized by a single ferromagnetic (J1) and otherwise antiferromagnetic independent exchange interaction parameters Ji. An analysis of the correlation coefficients for the various Ji pairs derived from the least-squared fit parameters (Tables S2–S5†) indicates that J1 generally displays the most pronounced correlation with the other exchange energies, and the evolution of the remaining Ji parameters as well as the goodness-of-fit are highlighted in Fig. S18–S21† for an artificial modification of J1 by ±10%. Compounds 1–3 show comparable sets of parameters due to their similar structures, while 4 reveals slightly lower magnitude exchange interactions, along with the different coupling schemes along the propeller tips. The compounds are characterized by moderate antiferromagnetic interactions along the edges and weaker antiferromagnetic interactions at the tips. Consistent with the expectation of the superexchange mechanism, a moderate ferromagnetic interaction is found along the axis between the most proximal FeIII atoms within the compounds since they form, in combination with their bridging oxo ligands, approximately right-angled triangles. Note that the effect of this exchange interaction (J1) competes with the contribution of paramagnetic impurities, thus these modeled values exhibit potentially larger uncertainties than the standard deviations given in Table 4. On the other hand, the structures of 1, 2 and 4 contain one cluster site while 3 shows alternating crystallographically distinct cluster sites, twisted by 180° with respect to one another, and thus the behavior of 3 might be influenced by further effects. Nevertheless, for all of these complexes wxJFinder calculates parameters of the same signs and comparable values. The introduction of azide ligands mainly influences the exchange pathways if these ligands are not symmetrically distributed over the structure as can be deduced from the different parameter sets found for 4 in comparison to 1–3. The calculated ground state of all compounds corresponds to an S = 0 effective spin state in agreement with the low value of μeff at 290 K. Higher energy states are calculated according to the best fit parameters. In part, they are shown in Fig. S12–S15† for the lower energy range (0–420 cm−1) shifted relative to the ground state. The first excited state for 1–4 corresponds to an effective S = 1 state in the range of 21–24 cm−1. Finally, we note that a further reduction in the number of independent exchange energies (Ji) by one (assuming the most similar exchange energies, J2 and J3 to be equal) significantly decreases the fit quality, with SQ increasing by approx. 0.5 (1) to 1.0% (4), see also Fig. S16 and S17.†
1 | 2 | 3 | 4 | |
---|---|---|---|---|
a The goodness-of-fit parameter SQ is defined as: ![]() |
||||
g eff | 2 | 2 | 2 | 2 |
J 1/cm−1 | +35.8 ± 0.2 | +25.3 ± 1.3 | +44.1 ± 0.1 | +16.0 ± 1.1 |
J 2/cm−1 | −22.8 ± 3.4 | −22.0 ± 2.2 | −22.3 ± 0.2 | −17.5 ± 0.2 |
J 3/cm−1 | −22.6 ± 2.9 | −22.0 ± 2.2 | −22.3 ± 0.2 | −17.0 ± 0.7 |
J 4/cm−1 | −14.7 ± 0.6 | −16.4 ± 0.2 | −18.6 ± 0.4 | −11.8 ± 0.5 |
J 5/cm−1 | −8.5 ± 0.6 | −6.1 ± 0.2 | −7.9 ± 0.3 | −38.1 ± 5.0 |
J 6/cm−1 | N/A | N/A | N/A | −7.5 ± 0.3 |
ρ/% | 0.58 ± 0.01 | 0.11 ± 0.01 | 0.41 ± 0.01 | 0.19 ± 0.01 |
SQa | 0.6% | 1.5% | 1.4% | 1.6% |
A comparison of the presented fit parameters to those of similar compounds is limited, since the exchange interaction parameters for compounds composed of eight oxo-bridged FeIII centers are not reported in the literature16–19,21 so far. However, magnetic susceptibility data and the S = 0 ground state are consistent with the results of these studies. Slightly smaller compounds as the disc-like structures containing seven oxo-bridged FeIII centers have been analysed in more detail.16,17,21 Mukherjee et al.21 reported J values which were calculated by applying the formula of Weihe and Güdel13a for FeIII dimers. These exchange interaction parameters are thus in the same range as the starting parameters for J2–J5 (J6) calculated by wxJFinder. Further analysis to estimate the quality of the calculated J, e.g. a calculation of χmT vs. T and a subsequent comparison to the presented experimental χmT vs. T data, was omitted.21
Footnote |
† Electronic supplementary information (ESI) available: Structure plots, thermoanalysis and magnetic level plots, bond valence sums. CCDC 1063435–1063439. For ESI and crystallographic data in CIF or other electronic format see DOI: 10.1039/c5dt03024b |
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