Open Access Article
Leon
Kapp
a,
Christoph
Wölper
a,
Hannah
Siera
b,
Gebhard
Haberhauer
*b and
Stephan
Schulz
*ac
aInstitute for Inorganic Chemistry, University of Duisburg-Essen, Universitätsstraße 5–7, 45117 Essen, Germany. E-mail: stephan.schulz@uni-due.de
bInstitute for Organic Chemistry, University of Duisburg-Essen, Universitätsstraße 5–7, 45117 Essen, Germany. E-mail: gebhard.haberhauer@uni-due.de
cCenter for Nanointegration Duisburg-Essen (Cenide), University of Duisburg-Essen, Carl-Be, Germany
First published on 12th February 2024
The application of main group metal complexes in catalytic reactions is of increasing interest. Here we show that the electron-rich, acyclic metallasilylene L′(Cl)GaSiL C (L′ = HC[C(Me)NDipp]2, Dipp = 2,6-iPr2C6H3; L = PhC(NtBu)2) acts as a precatalyst in the hydroboration of aldehydes with HBPin. Mechanistic studies with iso-valeraldehyde show that silylene C first reacts with the aldehyde with [2 + 1] cycloaddition in an oxidative addition to the oxasilirane 1, followed by formation of the alkoxysilylene LSiOCH[Ga(Cl)L′]CH2CHMe2 (2), whose formation formally results from a reductive elimination reaction at the Si center. Alkoxysilylene 2 represents the active hydroboration catalyst and shows the highest catalytic activity with n-hexanal (reaction time: 40 min, yield: >99%, TOF = 150 h−1) at room temperature with a catalytic load of only 1 mol%. Furthermore, the hydroboration reaction catalysed by alkoxysilylene 2 is a living reaction with good chemoselectivity. Quantum chemical calculations not only provide mechanistic insights into the formation of alkoxysilylene 2 but also show that two completely different hydroboration mechanisms are possible.
The catalytic hydroboration of aldehydes often uses transition metal catalysts, which promote the addition of pinacolborane to aryl and alkyl aldehydes,10 but aldehyde hydroboration can be also performed without any catalyst.11 Hydroboration catalysts based on main group metals have only recently attracted increasing interest because they are often less expensive and less toxic than transition metal catalysts.12–15 In particular Al(III)-based complexes have been investigated, and also silanes are known to hydroborate aldehydes (Scheme 1).16–20
Divalent tetrylenes are also of general interest in catalytic hydroboration transformations21 due to their Lewis ambiphilic behavior, which results from the presence of an electron lonepair and a vacant p-orbital, thus allowing transition metal-like reactivity such as oxidative addition reactions. While neutral and cationic germylenes,22–27 stannylenes,27–29 and plumbylenes30 have been successfully used in hydroboration catalysis, the catalytic activity of silylenes has been much less explored. Silylenes showed promising potential in (stoichiometric) small molecule activation reactions,31,32 including CO activation,33–35 but their catalytic activity is often limited by the use of sterically demanding substituents (kinetic stabilisation)36 and only a few silylene hydroboration catalysts are known, to date. The NHC-coordinated silyliumylidene cation [(IMe)2SiH]+ (IMe
:C{N(Me)C(Me)}2) A has been reported to catalyse the hydroboration of CO2 and carbonyl compounds including benzaldehyde PhC(O)H and derivatives with electron-donating and electron-withdrawing substituents.37,38 Moderate activities (TOF 17–115.8 h−1) were observed with rather high catalyst loading (10 mol%) at room temperature, which are intermediate between those reported for amido(hydrido)germylene (17–67 h−1) and -stannylene (400–800 h−1) [Ar*(iPr3Si)NMH] (M = Ge, Sn; Ar* = 4-iPr-2,6-(CHPh2)2C6H2), respectively.39 In addition, silylene B was found to catalyse the chemoselective hydroboration of aldehydes and ketones with HBPin at high temperature (90 °C) and high catalyst loading (5 mol%).40
Unfortunately, mechanistic studies of catalytic hydroboration reactions of carbonyl compounds using tetrylenes are also very rare. The hydridogermylene [Ar*(iPr3Si)NGeH] was reported to react via Ge–H and B–H σ-bond metathesis reaction,39 while the phosphine-substituted tetrylenes [AriPrEC(H)(Ph)PPh2] (E = Ge, Sn; AriPr = 2,6-(2,4,6-iPr3C6H2)2C6H3) either activate the aldehyde by adduct formation with the phosphine donor and the tetrylene acceptor, respectively, or activate pinacolborane (HBPin) at the tetrylene center.30 The diaminogermylene-mediated catalytic hydroboration of aldehydes occurred via adduct formation between Lewis basic HBPin and the Lewis acidic Ge(II) center, which facilitates the insertion of the aldehyde into the B–H bond.41
Here we report the catalytic hydroboration of aldehydes and ketones with HBPin using the acyclic, electron-rich metallasilylene L′(Cl)GaSiL C.42 Silylene C serves as precatalyst, which initially reacts with the aldehyde at low temperature in a [2 + 1] cycloaddition reaction to form oxasilirane 1. Upon heating to room temperature, oxasilirane 1 rearranges to form the active catalyst LSiOCH[Ga(Cl)L′]CH2CHMe22. Quantum chemical calculations provide deeper insights into the mechanism and energetics of the reactions. Alkoxysilylene 2 is a chemoselective catalyst that combines the Lewis acidity of group 13 complexes with the Lewis basicity of silylenes.
To obtain more detailed information about the initial step of the reactions and the true nature of the catalytically active species, we studied the equimolar reaction of compound C with iso-valeraldehyde at low temperature (−80 °C). The reaction proceeded by [2 + 1] cycloaddition (oxidative addition) of the aldehyde to the silylene center to give the oxasilirane 1, followed by Si–C bond cleavage and Ga–C bond formation upon warming to room temperature and formation of the alkoxysilylene LSiOCH[Ga(Cl)L′]CH2CHMe22 (Scheme 2). The conversion of oxasilirane 1, in which the Si atom adopts the formal oxidation state of +IV, into the alkoxysilylene 2 formally represents a reductive elimination reaction at the Si center. Even more remarkable is that this reaction starts at –5 °C according to in situ1H NMR studies. Moreover, comparable to our findings with gallasilylene C, alkoxysilylene 2 also did not react with HBPin in the absence of any aldehydes according to in situ1H and 11B NMR studies (Fig. S28 and S29†).
The 1H and 13C NMR spectra of oxasilirane 1 and alkoxysilylene 2 show the expected resonances of the organic ligands as well as those for the aldehyde H atom (1H NMR: 1: 2.18 ppm, 2: 4.33 ppm) and the carbonyl C atom (13C NMR: 1: 59.20 ppm, 2: 68.31 ppm), respectively. The 29Si NMR spectrum of oxasilirane 1 shows a resonance at −112.79 ppm, which is consistent with the chemical shifts of known oxasiliranes (−99 to −123 ppm),44–47 while the 29Si chemical shift of alkoxysilylene 2 (−12.59 ppm) is in the typical range of alkoxy-48 and siloxysilylenes,49 respectively.
with one molecule (accompanied by solvent) in the asymmetric unit (Fig. 2). The SiNCN units in oxasilirane 1 and alkoxysilylene 2 adopt almost planar conformations, in contrast to the boat-type conformations of the GaN2C3 ring. The Si–Ga bond length in oxasilirane 1 (2.4054(5) Å) fits to the sum of the covalence radii (Si–Ga 2.40 Å),50 but is significantly shorter than that in metallasilylene C (2.5170(4) Å) despite the higher coordination number at the Si atom (five versus three). The Si–O (1.7488(16) Å) and Si–C (1.835(3) Å) bond lengths in oxasilirane 1 largely differ from those of known oxasiliranes, which range from 1.6486(13) Å to 1.6520(10) Å (Si–O) and 1.8834(15) Å to 1.8924(18) Å (Si–C),45–48 respectively. The O–Si–C bond angle of oxasilirane 1 (49.52(11)°) is almost identical with those of known oxasiliranes (50.70(6)°, 50.31(6)°),44,45 while the Si–O–C bond angle of oxasilirane 1 (68.23(12)°) is slightly smaller than those of other oxasiliranes (70.42–73.18°).44,51 The N–Si–N bond angle of oxasilirane 1 (68.68(5)°) is consistent with that of amidinate-substituted silylenes,40,52 and the N–Ga–N bond angle of oxasilirane 1 (96.68(5)°) is slightly larger than that of compound C (92.65(4)°). The Ga atoms adopt distorted tetrahedral coordination geometries in both compounds, whereas the silicon atom in 1 is five-coordinated and in 2 three-coordinated, resulting in a much larger sum of bond angles at Si1 in 1 (N3–Si1–N4 + N3/4–Si1–Ga1 = 297.7(4)°) compared to 2 (N3–Si1–N4 + N3/4–Si1–O1 = 269.25(12)°). The Si–O bond length in alkoxysilylene 2 (1.6849(8) Å) is shorter than that of oxasilirane 1 (1.7488(16) Å), but in the range of the calculated Si–O single bond radius.50 In addition, the C–O bond of alkoxysilylene 2 (1.4390(12) Å) is much shorter than that of oxasilirane 1 (1.503(3) Å) and has a typical C–O single bond length (1.43 Å).53 The Ga–C bond length of 1.9662(10) Å is consistent with the sum of the covalence radii for Ga–C single bonds (1.967 Å).50
The calculated Gibbs energies for the formation of the catalyst S2 starting from C and propanal are shown in Fig. 1. The first step is the formation of oxasilirane S1, which must pass an activation barrier of 15.0 kcal mol−1. The ring opening leads to the energetically more favorable silylene S2. The activation energy for this step (24.4 kcal mol−1) is much higher than that of the first step, allowing the isolation of S1 (or oxasilirane 1 if iso-valeraldehyde is used). Overall, this results in an insertion of the aldehyde into the Si–Ga bond of compound C. An alternative opening of the three-membered ring in S1, in which the oxygen is bound to the gallium atom, is also feasible. The activation energy for such an opening is even lower, but the product formed is destabilised compared to S1 and S2 (Fig. S36 and S37†).
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| Fig. 1 Gibbs energies for the formation of the catalyst S2 starting from C and n-propanal calculated by means of PBE0-D3BJ. The values are given in kcal mol−1. | ||
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| Fig. 2 Structures of silylenes 1 and 2 in the solid state with thermal ellipsoids at 50% probability level. Solvent molecules hydrogen atoms and minor components of the disorder were omitted for clarity (RESI card were used to facilitate the refinement of 1. Residues 4 and 6 are displayed and their data given. For more details see ESI†). Selected bond lengths [Å] and angles [°]: 1: Ga(1)–N(2) 1.9614(14), Ga(1)–N(1) 1.9823(13), Ga(1)–Cl(1) 2.2845(4), Ga(1)–Si(1) 2.4054(5), Si(1)–C(45) 1.835(3), Si(1)–O(1) 1.7488(16), O(1)–C(45) 1.503(3), Si(1)–N(3) 1.818(7), Si(1)–N(4) 1.939(4), N(1)–Ga(1)–N(2) 94.20(6), O(1)–Si(1)–C(45) 49.52(11), Si(1)–O(1)–C(45) 68.23(12), O(1)–C(45)–Si(1) 62.25(12), N(3)–Si(1)–N(4) 69.17(18), O(1)–Si(1)–Ga(1) 103.62(6), C(45)–Si(1)–Ga(1) 114.48(9); 2: Ga(1)–N(1) 1.9444(9), Ga(1)–N(2) 1.9500(9), Ga(1)–C(45) 1.9662(10), Ga(1)–Cl(1) 2.2347(3), Si(1)–O(1) 1.6849(8), Si(1)–N(4) 1.8748(9), Si(1)–N(3) 1.9203(9), O(1)–C(45) 1.4390(12), N(1)–Ga(1)–N(2) 96.05(4), N(4)–Si(1)–N(3) 69.06(4), C(45)–O(1)–Si(1) 121.71(6). | ||
Compared to the silyliumylidene cation A, for which TOF-values in the range of 179 to 115.8 h−1 were reported, alkoxysilylene 2 was found to catalyse the hydroboration of aldehydes in a similar range of TOF values (TOF: 3.9–150 h−1), but with much lower catalyst loading (1 mol%) compared to A (10 mol%).37 In addition, the alkoxysilylene 2 showed a much higher catalytic activity in the hydroboration of aldehydes compared to the amidinate-substituted silylene B (TOF: 0.2–19.8 h−1) which was only active at high temperature (90 °C) and high catalyst loading (5 mol%).40 However, the alkoxysilylene 2 is catalytically less active compared to the heavier tetrylenes, i.e., the hydridogermylene [Ar*(iPr3Si)NGeH] (TOF: 179–6000 h−1, catalyst loading 0.05–1 mol%) and hydridostannylene Ar*(iPr3Si)NSnH (TOF: 400–13
300 h−1, catalyst loading 0.05 mol%), respectively.39
To identify the active catalyst, the catalytic reaction of benzaldehyde, HBPin and the alkoxysilylene 2 (10 mol%) was performed at room temperature in the presence of two equivalents of TMEDA. Full conversion was observed after 16 h according to in situ1H NMR spectroscopic studies (Fig. S22†), which proved that the catalytic reaction occurred without the formation of borane BH3, proving that the alkoxysilylene 2 is the active catalyst in the reaction.5 To rule out a catalyst-free hydroboration reaction,11 we also reacted n-propanal with HBPin in the absence of catalyst 2. Only 76% (TOF: 1.58 h−1) of the aldehyde were converted into the corresponding borate ester after 48 h, whereas the reaction in the presence of alkoxysilylene 2 (1 mol%) was finished after 45 min (TOF: 133 h−1). Since we also did not observe any induction period in the catalysed reaction, we assume that 2 is the active catalyst.
We also became interested in its chemoselectivity and reacted 2 (1 mol%, r.t.) with a mixture of equimolar amounts of acetophenone, iso-valeraldehyde and HBPin. The resulting 1H NMR spectrum showed almost complete conversion of HBPin after 24 h. 94% conversion of the aldehyde and only 5% conversion of the ketone to their corresponding borane esters (Fig. S24†) clearly demonstrated the good chemoselectivity of catalyst 2 for aldehydes over ketones. In addition, alkoxysilylene 2 was shown to be a living hydroboration catalyst by adding an additional equivalent of both HBPin and benzaldehyde to a reaction mixture of 2, HBPin and iso-valeraldehyde (1 mol%, r.t.) after full conversion. The estimated signals of both products were detected in the 1H NMR spectrum after 24 h (Fig. S23†), proving full conversion of both aldehydes.
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| Fig. 3 Mechanism for the hydroboration of n-propanal with Int-2 (a) and S2 (b) as catalytically active species calculated by means of PBE0-D3BJ. The values are given in kcal mol−1. | ||
In the second case, the aldehyde is first added to the silylene center to form the oxasilirane Int-2 (Fig. 3a), which together with HBPin forms the complex Int-1, leading to the silane Int-3. The latter can then transfer the hydride to another aldehyde in the rate-determining step (26.7 kcal mol−1). In the corresponding seven-membered transition state TS-7, the oxygen atom of the carbonyl group is coordinated to the boron atom. The resulting intermediate Int-4 reacts to the product PinB-OPr and the catalytically active species Int-2 without any major activation barriers (Fig. 3a).
In the third case, the first step involves the addition of HBPin to form the complex Int-6 (Fig. 3b). The hydride on the boron atom now has a higher electron density and can therefore be transferred more efficiently to the carbon atom of the carbonyl group. In the corresponding five-membered transition state TS-10, the oxygen atom of the carbonyl group is bonded to the silicon atom. The activation barrier starting from the reactants amounts to 27.3 kcal mol−1. In the next step, the alkoxy group is transferred to the boron atom, forming the complex Int-8. The latter decomposes into the product PinB-OPr and the catalyst S2 (Fig. 3b).
A comparison of the latter cases reveals two completely different types of reaction. While in one case the hydride is transferred from the boron atom to the carbon atom, in the other case it is transferred from the silicon atom. While in one case S2 is the catalytically active species, in the other case Int-2 is the active catalyst. However, it is interesting to note, that in both cases the hydride transfer is the rate-determining step and the activation barriers are similar (27.3 kcal mol−1versus 26.7 kcal mol−1). Considering that the reaction takes place at room temperature, the calculated values are too high. This is due to the overestimation of the calculated entropies (for more details see calculation details). Therefore, the G70% values were used for comparison with the experimental data (Fig. S40 and S41†). If the TOF values for the two mechanisms are estimated at room temperature, a TOF value of 0.9 h−1 is obtained for the first mechanism (via TS-7) and a value of 217 h−1 for the second one (via TS-10). The latter agrees well with the experimentally determined TOF values (133 h−1), which indicates that the second mechanism is dominant.
Unfortunately, we did not observe any reaction intermediate formed in these reactions by means of temperature-dependent in situ1H NMR spectroscopy. Even when the active silylene 2 was reacted with an equivalent of the aldehyde, we did not observe the formation of compound Int-2. In addition, we also did not observe the formation of Int-3 or Int-7 in reactions of 2 with an equivalent of the aldehyde and HBPin in the temperature range from –70 °C to room temperature.
IR spectra were recorded with an ALPHA-T FT-IR spectrometer equipped with a single reflection ATR sampling module. The IR spectrometer was placed in a glovebox to guarantee measurements under oxygen- and water-free conditions.
Yield 54 mg (0.06 mmol, 21%). Mp. 137 °C. Elemental analysis for C49H74ClGaN4OSi: anal. calcd. C 67.77, H 8.59, N 6.45%. Found C 67.1, H 8.38, N 6.41%. IR: ν 3061, 2964, 2952, 2931, 2868, 1537, 1518, 1464, 1435, 1382, 1361, 1318, 1260, 1204, 1177, 1078, 1022, 940, 892, 863, 796, 761, 732, 709, 621, 594, 544, 503, 466, 447. Oxasilirane 1 slowly converted in solution to compound 2 even at −5 °C. Therefore, the 1H, 13C and 29Si NMR spectra of compound 1 also contain small resonances due to compound 2. 1H NMR (600 MHz, C6D6): δ 7.46–6.75 (m, 11H, C6H3(iPr)2 & C6H5), 5.17 (s, 1H, γ-CH), 4.24 (sept, 3JHH = 6.7 Hz, 1H), 4.00 (sept, 3JHH = 6.7 Hz, 1H, –CH(CH3)2), 3.49 (sept, 3JHH = 6.6 Hz, 1H, –CH(CH3)2), 3.39 (sept, 3JHH = 6.5 Hz, 1H, –CH(CH3)2), 2.18 (dd, 3JHH = 11.3, 3.0 Hz, 1H, OCH), 2.13 (sept, 3JHH = 6.4 Hz, 1H, –OCHCH2CH(CH3)2), 1.74 (dd, 3JHH = 12.7, 3.9 Hz, 1H, –OCHCH2CH(CH3)2), 1.70 (d, 3JHH = 6.7 Hz, 3H, –CH(CH3)2), 1.65 (s, 3H, ArNCCH3), 1.64 (s, 3H, ArNCCH3), 1.63 (d, 3JHH = 6.6 Hz, 3H, –CH(CH3)2), 1.55 (d, 3JHH = 3.2 Hz, 1H, OCHCH2CH(CH3)2), 1.53 (d, 3JHH = 6.6 Hz, 3H, –CH(CH3)2), 1.48 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.32 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.26 (d, 3JHH = 6.7 Hz, 3H, –CH(CH3)2), 1.18 (s, 9H, C(CH3)3), 1.16 (d, 3JHH = 5.3 Hz, 6H, OCHCH2CH(CH3)2), 1.13 (d, 3JHH = 6.7 Hz, 3H, –CH(CH3)2), 1.08 (d, 3JHH = 6.6 Hz, 3H, –CH(CH3)2), 0.75 (s, 9H, C(CH3)3). 13C NMR (151 MHz, C6D6): δ 174.24 (NCN), 169.26, 168.54 (ArNCCH3), 146.14, 145.29, 144.67, 144.09 (NCC(CH(CH3)2)), 143.92, 143.65 (NCC(CH(CH3)2)), 134.12, 128.69, 127.69, 127.55, 127.46, 127.21 (C6H5), 129.63, 129.58, 124.79, 124.71, 124.59, 124.12 (C6H3), 99.89 (γ-CH), 59.20 (OCH), 53.64, 52.66 (C(CH3)3), 44.29 (OCHCH2CH(CH3)2), 31.51, 31.22 (C(CH3)3), 30.24, 29.17, 28.25, 28.15 (CH(CH3)2), 27.21 (OCHCH2CH(CH3)2), 24.89, 24.41 (ArNCCH3), 25.36, 24.33 (OCHCH2CH(CH3)2), 28.49, 26.37, 25.01, 24.26, 23.64, 22.61 (CH(CH3)2). 29Si NMR (119 MHz, toluene-d8): δ −112.79 (s).
Yield 172 mg (0.2 mmol, 66%). Mp. 142 °C. Elemental analysis for C49H74ClGaN4OSi: anal. calcd. C 67.77, H 8.59, N 6.45%. Found C 67.3, H 8.45, N 6.45%. IR: ν 3082, 2988, 2950, 2927, 2908, 2885, 2820,1547, 1518, 1484, 1438, 1419, 1384, 1381, 1318, 1285, 1258, 1210, 1175, 1108, 1051, 1018, 989, 933, 893, 798, 769, 757, 724, 707, 683, 610, 524, 490, 441, 434, 426. 1H NMR (400 MHz, C6D6): δ 7.41–6.78 (m, 11H, C6H3(iPr)2 & C6H5), 5.05 (s, 1H, γ-CH), 4.33 (dd, 3JHH = 9.7, 4.4 Hz, 1H, OCH), 4.12 (sept, 3JHH = 6.7 Hz, 1H, –CH(CH3)2), 4.04 (sept, 3JHH = 6.7 Hz, 1H, –CH(CH3)2), 3.52–3.45 (m, 1H, –CH(CH3)2), 3.44–3.37 (m, 1H, –CH(CH3)2), 2.42–2.22 (m, 1H, –OCHCH2CH(CH3)2), 1.68 (d, 3JHH = 6.6 Hz, 3H, –CH(CH3)2), 1.65 (s, 4H, OCHCH2CH(CH3)2 & ArNCCH3), 1.63 (s, 3H, ArNCCH3), 1.58 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.55 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.31 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.26 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.24 (s, 10H, OCHCH2CH(CH3)2 & C(CH3)3), 1.12 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.10 (d, 3JHH = 6.8 Hz, 3H, –CH(CH3)2), 1.00 (s, 9H, C(CH3)3), 0.95 (d, 3JHH = 6.6 Hz, 3H, OCHCH2CH(CH3)2), 0.76 (d, 3JHH = 6.5 Hz, 3H, OCHCH2CH(CH3)2). 13C NMR (101 MHz, C6D6): δ 169.87, 169.76 (ArNCCH3), 161.78 (NCN), 146.00, 145.75, 143.13, 142.92 (NCC(CH(CH3)2)), 142.48, 142.18 (NCC(CH(CH3)2)), 134.78, 130.10, 129.22, 127.55, 127.32, 127.29 (C6H5), 125.38, 125.29, 123.98, 123.75 (C6H3), 98.77 (γ-CH), 68.31 (OCH), 52.93, 52.68 (C(CH3)3), 47.18 (–OCHCH2CH(CH3)2), 32.09 (C(CH3)3), 29.50, 29.16, 28.16 (–CH(CH3)2), 27.51, 26.01 (ArNCCH3), 24.99 (OCHCH2CH(CH3)2), 25.26, 25.14, 24.57, 24.01, 23.82 (CH(CH3)2), 21.91(OCHCH2CH(CH3)2). 29Si NMR (79 MHz, C6D6): δ −12.59 (s).
68 and D3BJ.55 The basis sets def2-SVP69,70 and 6-31G(d)71,72 were employed. For all stationary points no symmetry restriction was applied. Frequency calculations were carried out at each of the structures to verify the nature of the stationary point. It turned out that all transition states have exactly one imaginary frequency, whereas all other structures have none. Furthermore, the energies of the stationary points were calculated using the density functionals PBE0-D3BJ, PBE-D3BJ and M06-2X-D3 and the basis sets def2-TZVP69,70 and 6-311++G(d,p).73–76 Solvent effects were taken into account by using the solvent model SMD77 (benzene as solvent) for single point calculations. Turnover frequencies (TOF) of the catalytic reaction were estimated using the AUTOF program.78–80
A well-known problem during the calculation of the Gibbs energies is the overestimation of the calculated entropies. The entropies are always computed on the assumption of an ideal gas. This leads to a large deviation for the translation and conformational term of the entropy if the reaction takes place in solution.81,82 This is particularly dramatic for bi- and trimolecular reactions. Some authors have estimated that the total entropy in solution should be about 50–70% of that in the gas phase.82–85 In our case, we have therefore used the upper limit, i.e. 70% (instead of 100%) of the calculated entropy. The thus obtained the Gibbs energies G70% were used for comparison with experimental data.
Footnote |
| † Electronic supplementary information (ESI) available: Synthetic procedures and analytical data (NMR, IR, computational details, and cif files). CCDC 2270892 and 2270893. For ESI and crystallographic data in CIF or other electronic format see DOI: https://doi.org/10.1039/d3sc06842k |
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