Shinzi Kato‡
*a,
Masahiro Kimuraa,
Yukio Komatsua,
Kenji Miyagawaa,
Masaru Ishidaa,
Masahiro Ebihara
*a,
Osamu Niyomura
b,
Waro Nakanishi
*c and
Satoko Hayashi
*c
aDepartment of Chemistry, Faculty of Engineering, Gifu University, Yanagido 1-1, Gifu, 501-1193, Japan. E-mail: kshinzi@nifty.com; ebihara@gifu-u.ac.jp
bDepartment of Applied Chemistry, College of Engineering, Chubu University, 1200 Matsumoto-cho, Kasugai, 487-8501, Japan
cFaculty of Systems Engineering, Wakayama University, 930 Sakaedani, Wakayama 640-8510, Japan. E-mail: nakanisi@sys.wakayama-u.ac.jp; hayashi3@sys.wakayama-u.ac.jp
First published on 17th April 2023
A series of acylsulfenyl iodides (RCOSI) were synthesized by the reactions of carbothioic acid group 11–16 element derivatives with iodine or N-iodosuccinimides in moderate to good yields. The structure of the PhCOSI was nearly square planar based on the X-ray analysis, where the CO⋯I distance (3.153(5) Å) was significantly shorter than the sum of the van der Waals radii of the atoms (ΣrvdW), indicating close contact within the molecule. The distances between an iodine atom and the neighbouring two iodine atoms were also less than ΣrvdW, perhaps due to the energy lowering effect of the interactions. The acylsulfenyl iodides readily reacted with alkenes and alkynes to give the expected addition products in moderate to good yields at approximately 0 °C. A new synthesis of acylated sulfines, sulfenamides and sulfenochalcogenides using acylsulfenyl iodides is also described. Theoretical calculations were performed on PhCOSI with the Sapporo-TZP(+1s1p) basis sets at the MP2 level, which perfectly reproduced the observed structures. Similar calculations were performed on the reactions, exemplified by those of MeCOSI and CH2
CH2, together with those of MeSI and CH2
CH2. Mechanisms for both reactions were proposed, which were very similar. The proposed mechanism for the former was understood based on that of the latter. For both mechanisms, the episulfuranes and episulfonium ions played an important role. The dynamic and static nature of the bonds in the COSI group of PhCOSI and MeCOSI were elucidated based on QTAIM dual functional analysis.
This paper presents a more convenient synthesis of acylsulfenyl iodides (1), together with the reactions. Scheme 1 shows the structures of 1 (1a–1o) synthesized by the reactions of a variety of carbothioic acid derivatives (2 and 3) with iodine and N-iodosuccinimide (hereafter referred to NIS). The structure of 1a was determined by X-ray crystallographic analysis, and the fine details of the structure were clarified.
The reactivity of compound 1 must be of great interest. The addition reactions of 1 to olefines were carefully examined after the addition of alkyl/arylsulfenyl chlorides to olefines. It is well known that alkyl/arylsulfenyl chlorides react with alkenes to afford the corresponding addition products. The addition reactions of alkyl/arylsulfenyl chlorides (RSCl) and bromides (RSBr) have been extensively studied experimentally and theoretically.6–13 Such reactions proceed with both regio- and stereoselectivity at low temperatures, where the intermediacy of episulfonium ions has been proposed, followed by nucleophilic trans attack by chloride or bromide ions. The easy isomerization of the products proceeded through the ions as observed. However, to the best of our knowledge, there have been no reports on the reactions of alkyl/arylsulfenyl iodides (RSI) with alkenes.
In this paper, we also describe new syntheses of S-acylsulfenoxides and amides and S-acylated sulfenochalcogenides, together with the addition reactions of 1 to olefins and related species. The mechanism for the reaction of RCOSI and olefins is proposed, which is expected to be similar to that for RSI with olefins (see Scheme 5).
Theoretical calculations are performed to reveal the reason for the fine details of the structures and the reactivity of 1, together with the nature of the interactions. The results are verified by theoretical calculations. The quantum theory of atoms-in-molecules dual functional analysis (QTAIM-DFA) is also applied to elucidate the nature of the interactions in question.14–19
It is usually troublesome to remove the byproducts, such as metal halides and succinimides and solvents, in this case, for the efficient purification of the target products in the synthesis. In this study, we demonstrated that the use of M(SC(O)R)x (M = Ag, Zn, Cd, Ph3Ge, Ph2Ge Ph3Sn, Ph2Sn, Ph3Pb and Ph2Pb; x = 1, 2) in 2 and 3 as thioacylating agents, with NIS as the S-iodination agent, among the reagents shown in Scheme 1, was more favourable than the use of iodine as the S-iodination agent, although a large excess of NIS was necessary. Very low yields of none of the desired products were obtained after several attempts if the aliphatic derivatives of triphenyltin carbothioates 3c and diphenyltin carbothioates 3d (R = alkyl) were employed for the reaction.
The obtained aroylsulfenyl iodides 1 were relatively stable in the solid-state below 0 °C. For example, crystals of 4-methylbenzoylsulfenyl iodide 1d were stored in a refrigerator (ca. −15 °C) for over one week without any appreciable change under an argon atmosphere. However, they gradually oxidized to give diacyl disulfide at approximately room temperature. Notably, the corresponding acyl iodide was formed. Scheme 2 explains the decomposition of 1a.
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Fig. 1 ORTEP drawing of 1a with the thermal ellipsoid drawn at 50% probability. ϕ(O1–C1–S1–I1) = 4.8(6)°, ϕ(C3–C2–C1–O1) = 15.0(9)°, and f(C7–C2–C1–S1) = 16.3(8)°. |
The bond lengths of C1–O1 [1.207(7) Å] and C1–S1 [1.799(7) Å] corresponded to those of CO double and C–S single bonds,20 respectively. The bond length of S1–I1 [2.3653(17) Å] indicated that of the S–I single bond [typically, 2.386
20 to 2.416
21 Å]. The distance between the carbonyl oxygen O1 and iodine I1 was 3.153(5) Å, which was significantly shorter than the sum of the van der Waals radii (vdW) of both atoms (ΣrvdW = 3.50 Å). The value strongly indicated intramolecular contact. The torsional angle of O1–C1–S1–I1 (= ϕ(O1–C1–S1–I1) was 4.8(6)°, with ϕ(C7–C2–C1–S1) = 16.3(8)° and ϕ(C3–C2–C1–O1) = 15.0(9)°, which indicated a nearly planar molecule for 1a.22 The nearly planar four-membered O1–C1–S1–I1 ring with the unexpectedly short O1–I1 distance reminded us of the stability through the cyclic 6p electron interactions in the four-membered ring constructed by the different kinds of four atoms.
As shown in Table 1, benzoylsulfenyl iodide 1a reacted with 1-hexene 4a to give a mixture of 2-iodohexyl benzoyl sulfide 6aa and 1-iodomethylpenthyl benzoyl sulfide 7aa in 22% yield (entry 1). The methine proton on the carbon atom attached to a benzenecarbothioate group (δ 4.43) appeared at a lower field than the proton on the carbon bonded to the iodine atom (δ 3.98). Furthermore, the methylene protons at the 1-position in 6aa and 7aa showed characteristic geminal coupling constants of 13.9 and 9.9 Hz, respectively, due to the asymmetric carbon at the 2-position.24 Indeed, the structural determination of such adducts based on the δH values had been established, exemplified by the addition products of benzenesulfenyl chloride to 2-methylpropene,25 but it was necessary to consider the differences between Cl and I in the assignments. However, only one product (6ab or 6ac) was obtained through trans-addition in the reaction of 1a with each of the cyclic alkenes, such as cyclo-pentene 4b or cyclo-hexene 4c, respectively (entries 2 and 3). The methyl derivative of 1a (1d) similarly gave 6dc in the reaction with 4c (entry 4). The yields were rather good.
The reactions of 1a with trans-2-butene 4gE were examined in the presence of phenol, which would have acted as a radical inhibitor. The yields of the adducts of threo-isomer 6agth and erythro-isomer 7ager and the ratio of 6agth/7ager were very similar when the reaction proceeded in the presence or absence of phenol. Therefore, the radical mechanism seemed unlikely in this case, although the mechanism should be examined carefully.
The reactions were examined starting with regioselectivity.
The effect of the sterically hindered tert-butyl group in 3,3-dimethyl-1-butene 4f on the reaction is of interest. Under similar conditions, 1a reacted with 4f to give a mixture of 2-iodo-3,3-dimethylbutyl benzoyl sulfide 6af (Markovnikov adduct) and 1-iodomethyl-2,2-dimethylpropyl benzoyl sulfide 7af (anti-Markovnikov adduct) in 64% yield. The ratio of the isomers 6af/7af was 30:
70, of which the coupling constants were Jab = 11.4 and 14.4 and Jg = 2.4 Hz for 6af and Jab = 10.6 and 14.5 Hz and Jg = 3.2 Hz for 7af, respectively (entry 9). The steric hindrance around the reaction area in the alkene should also be considered.
The stereochemistry of the addition reaction was examined, exemplified by the reaction of 1 with 2-butene (4g). The results are discussed next.
1,3-Butadiene 4h reacted with 1a to give trans-4-iodo-2-butenyl benzoyl sulfide 6ah in 33% yield (entry 18). The 1H NMR spectrum of 6ah shows two doublet peaks at δ 3.70 and δ 3.86 due to the methylene protons and two doublets of triplet peaks at δ 5.77 and δ 6.01 due to a vinylic proton, and the adjacent vicinal proton spin–spin coupling constant was 15 Hz.
The effect of the iodide and iodine ions on the addition of 1 to 4 was also examined. A remarkable increase in the trans-addition products was observed in the presence of iodine in the reaction of 1a with 4gZ and 4gE. In particular, the reaction with 4gZ exclusively yielded trans-adducts in over 65% yields. The (proposed) mechanism should reasonably explain the observed results.
Only a few reports have been found for the reactions of 1 with alkynes 5, enamines, and trialkylsiloxyalkenenes, to the best of our knowledge, although phenylsufenyl chloride reacts with silylenol ethers to produce α-phenylsulfenyl ketones.22 No reaction was observed between 1a and ethynylbenzene; therefore, the reactions of 1 with 5 is be discussed further in this paper. The reactions of 1a with enamines and trialkylsiloxyalkenenes are discussed next.
As shown in Scheme 4, alcohols, thiols, carbothioic acids, and alkali and ammonium salts were found to react with 1 at −15–0 °C to give corresponding sulfenates 8 (Table S18 of the ESI†) and unsymmetrical disulfides 9 (Table S21 of the ESI†) and 10 (Table S23 of the ESI†),26 respectively.
We previously reported a method for the synthesis of Se-aryl (aryl)oxomethanesulfenoselenoates 11 by the reaction of acylsulfenyl bromides with sodium benzeneselenolate, along with carbothioic acid and its alkali metal, peridinium and zinc salts with diphenyl diselenide or sodium benzeneselenolate.27 The preparation of 11 using 1 was examined here. Compound 1 reacted readily with alkali metal benzeneselenolates to give compound 11 in the 23–76%, as expected (Table S25 of the ESI†). The reaction of acylsulfenyl iodides 1 with sodium phenyltellurate gave Te-aryl acyloxymethanesulfenotelluroates 12 in moderate yields; however, the reactions of 1 with diphenyl ditelluride did not give 12 (Table S27 of the ESI†). Under similar conditions, the reaction of 1 with primary and secondary amines led to the expected sulfenamides 13, except for bulky tert-butyl compound 13ag (73%) in 43–73% yield (Tables S29 and S30 of the ESI†). In the reaction of two molar amounts of 4-methylbenzoylsulfenyl iodide 1d with ethylamine, a trace of (benzoylsulfenyl)-1-propylamide 13d was detected along with di(benzoylsulfenyl)-1-propylamide 13d′, indicating the process via mono acylsulfenated compound 13d. The spectral data of products 8–13 are collected in Tables S19, S20, S22, S24, S26, S28 and S31–S33 of the ESI, respectively.
Species | ϕ(OCSI) (°) | ϕ(OCCiCo) (°) | r(O, C) (Å) | r(C, S) (Å) | r(S, I) (Å) | r(I, O) (Å) | ΔE (kJ mol−1) | nd |
---|---|---|---|---|---|---|---|---|
a Calculated without considering the solvent effect under MP2/S-TZPsp.b The calculated syn- and anti-conformers and the observed structure of 1a are shown by 1asyn, 1aanti and 1asyn-obsd, respectively, for example.c The Esyn and Eanti values are collected in Table S44 of the ESI.d Number of imaginary vibrations. | ||||||||
1asyn-C1 | 4.5 | 22.5 | 1.211 | 1.816 | 2.355 | 3.184 | As 0.0 | 0 |
1asyn-Cs | 0.0 | 0.0 | 1.211 | 1.819 | 2.353 | 3.160 | 0.6 | 1 |
1aanti-C1 | −156.5 | 45.5 | 1.212 | 1.820 | 2.373 | 4.476 | 15.9 | 0 |
1asyn-obsd | 4.8 | 15.0 | 1.207 | 1.799 | 2.365 | 3.153 | — | — |
1msyn-C1 | −1.0 | 9.1 | 1.206 | 1.808 | 2.354 | 3.226 | As 0.0 | 0 |
1msyn-Cs | 0.0 | 0.0 | 1.206 | 1.816 | 2.354 | 3.217 | 1.0 | 1 |
1manti-Cs | 180.0 | 0.0 | 1.211 | 1.813 | 2.374 | 4.527 | 8.6 | 0 |
As shown in Table 3, the fully optimized syn-conformer of 1a (1asyn-C1) with MP2/S-TZPsp excellently reproduced the observed structure, especially for the bond lengths around the COSI group, although the ϕ(OCCiCo) value seemed slightly different.4,6 The torsional angles would be greatly affected by the crystal packing. To examine the behaviour of the torsional angles, 1a was further optimized assuming the planar structure around the COSI group, which is denoted by 1asyn-Cs. One imaginary frequency was detected in 1asyn-Cs, of which motion corresponded to the rotation around the CCO–Ci bond. Namely, the planar structure was not the minimum, where the differences in ϕ(OCCiCo) (= 22.5°) and ϕ(OCSI) (= 4.5°) seemed reasonable. It was noteworthy that the observed r(I, O) value (3.153 Å)4,6 was close to those of 1asyn-C1 (3.184 Å) and 1asyn-Cs (3.160 Å), irrespective of the ϕ(OCSI) and ϕ(OCCiCo) values.11 The bond lengths in 1aanti-C1 were also very similar to the corresponding values of 1asyn, except for r(I, O). 1asyn-C1 and 1asyn-Cs were predicted to be more stable than 1aanti-C1 by approximately 15–16 kJ mol−1. The energy lowering effect by the cyclic interaction containing I⋯O may have led to the results. The dihedral angles in 1a seemed to change rather widely between the conformers; however, the effect from the phenyl group seemed less severe on the stabilization of 1a. It was also predicted that 1msyn-C1 and 1msyn-Cs seemed more stable than 1manti-Cs by 8–9 kJ mol−1, possibly due to the cyclic I⋯O interaction. The behaviour of the methyl derivatives of 1msyn and 1manti can be understood similarly to that of the phenyl derivatives.
As the first step of the investigations, calculations were performed without considering the solvent effect. The results for MeCOSI (1m) and MeSI (14m) with CH2CH2 are shown in Fig. S1 and S2 of the ESI,†, respectively, and the values are collected in Table S44 of the ESI,† the relative energies (Erel) for (MeS+(CH2)2 + I− (II)) from (14m + CH2
CH2)) and (MeCOS+(CH2)2 + I− (II)) from (1m + CH2
CH2) were evaluated to be 454 and 474 kJ mol−1, respectively, on the energy surfaces, for instance. Such unexpectedly high energies for the ionic species relative to the neutral species must be predicted due to the calculations without considering the solvent effect. Calculations considering the solvent effect were necessary for the reactions since the reaction processes contain many ionic species and/or polar bonds. Then, the calculations were performed under the solvent effect of acetonitrile with SCRF method (PCM (polarizable continuum model)28 starting from the structures optimized without considering the solvent effect, if possible. The Erel values for (MeS+(CH2)2 + I−) from (14m + CH2
CH2) and (MeCOS+(CH2)2 + I−) from (1m + CH2
CH2) were much improved to −4 and 32 kJ mol−1, respectively. Based on this result, all species and processes containing transition states (TSs) were reoptimized under the solvent effect of acetonitrile. The results are collected in Table S45 of the ESI†. Scheme 5 shows the proposed mechanisms for the reactions of 1 with 4 and 14 with 4, exemplified by 1m with C2H4 and 14m with C2H4, respectively.
Fig. 3 shows the displacements of atoms using arrows corresponding to the imaginary frequency in each TS for a better understanding of the proposed mechanism based on the calculations. The displacements in each TS rationalized the process connecting the two minima shown in Scheme 5, although the intrinsic reaction coordinate (IRC) analysis was necessary for a detailed discussion. Fig. 4 and 5 illustrate the energy profiles for the reactions of 14m with C2H4 and 1m with C2H4, respectively.
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Fig. 4 Energy profile for the reaction of 14m and CH2![]() |
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Fig. 5 Energy profile for the reaction of 1m with CH2![]() |
The results of the calculations for the reaction of 14m with C2H4 under the solvent effect of acetonitrile are discussed first. Episulfurane (I) formed from the reaction of 14m and C2H4 exothermically by 35 kJ mol−1. The activation energy (ΔE‡) for the TS (TS1:
IA) was 34 kJ mol−1 (see Scheme 5 and Fig. 4). I ionized to episulfonium ions (II+) and I− endothermically by 30 kJ mol−1, although II+ + I− was predicted to be more stable than 14m and C2H4 by 4.2 kJ mol−1 in acetonitrile. A species IB in Scheme 5 was postulated for the ionization process. The energy of IB became monotonically higher as the S⋯I distance increased; therefore, the process for IB did not contain a TS (transition state). It was necessary for I− to move to the other side of S of II+ for the reaction to give the final products of IIIA and IIIB. An ion pair, named ID, was optimized to be minimum, which would be easily produced after ionization, since the free I− could move easily to the backside. This route corresponded to route A in Scheme 3. However, the theoretical calculations predicted another route to ID from I that corresponded to route B in Scheme 3. In route B, I− moved along the molecular surface of I to reach ID via TS2 of IC. The ΔE‡ value of TS2 (IC) from I was calculated to be 11.2 kJ mol−1. In route B, the I− would move not thus far from the cationic sulphur (and on the molecular surface) throughout the process, which would result in the very low ΔE‡ value for TS2 (IC). The ion pair ID gave the final products IIIA via the TS3 of IE, where ID was more stable than IE by 25 kJ mol−1. TB3 of IE corresponded to the TS optimized for the SN2 reactions in the process from ID to IIIA. The C⋯I distances in ID, IE and IIIA were 3.578, 2.770, and 2.149 Å, respectively. The behaviour of I− in this process is of interest. If I− was placed approximately 7 Å from the C atom in ID, the given structure converged to ID.
Namely, I− approached to a carbon atom of ID but never gave IIIA in this calculation. The I− stayed at the C⋯I distance of 3.578 Å. The intramolecular route from I to ID via IC seemed superior to that via II+ and I−‘’ (by 23 kJ mol−1); however, we were careful since many energetic processes would be present between those via IC and (II+ and I−), since the II+⋯I− distance was assumed to be infinite. The TS3 of ID may play an important role in determining the product distributions, such as [IIIA]/[IIIB], as the initial stage. The direct cis-addition process from I waws expected to give a final product of IIIA′ corresponding to route C in Scheme 3. Indeed, transition state TS4 of IF was optimized for the direct cis-addition process from I; however, the predicted ΔE‡ value of 140 kJ mol−1 was very high. Therefore, the direct cis-addition process from I to IIIA′ via IF truly existed, but the process did not operate due to the very high activation energy.
The mechanism for the reaction of 1 with 4 seemed very similar to that for 14 with 4. The mechanism was explained by the reaction of 1m with C2H4 calculated under the solvent effect of acetonitrile. Episulfurane (I) was formed slightly endothermically by 2 kJ mol−1 relative to 1m and C2H4. The ΔE‡ value was 53 kJ mol−1 for the TS1 of IA (see Scheme 5 and Fig. 5). I ionized endothermically (30 kJ mol−1) to give episulfonium ions (II+) and I−, where II+ + I− was less stable than 1m + C2H4 by 32 kJ mol−1. The final products of IIIA and IIIB formed from II+ + I− via the ion pair (ID) and TS3 (IE) in route A. However, another mechanism was predicted by the theoretical calculations (route B). The ion pair (ID) directly formed via TS2 of IC where I− moved along the molecular surface of I, similar to the case of 14m with C2H4. The ΔE‡ value from I to IC was 11 kJ mol−1, where IC was less stable than 1m and C2H4 by 13 kJ mol−1.
The ion pair ID was more stable than IC by 3 kJ mol−1 but less stable than 1m with C2H4 by 10 kJ mol−1. The final product was obtained from ID via TS3 of IE. The ΔE‡ value of IE from ID was 11 kJ mol−1, where IE was less stable than 1m and C2H4 by 21 kJ mol−1. IC was more stable than (II+ and I−) by 19 kJ mol−1. Therefore, the intramolecular route from I to ID via IC seemed superior to that via II+ and I− (by 19 kJ mol−1). However, the distance was assumed to be infinite because in terms of energy, there are many processes between those via IC and via (II+ and I−). The IE (TS3) may play an important role in determining the product distributions, such as [IIIA]/[IIIB], as the initial stage. The direct cis-addition from I (route C) was also optimized to directly yield the final products. Indeed, the TS4 of IF corresponding to the direct cis-addition process was optimized again, but the ΔE‡ value from I to IF was predicted to be very large, 112 kJ mol−1. The direct cis-addition process is precluded by the very high activation energy, irrespective of the optimized results.
What is the role of the carbocations in the reactions of 1 and 14 with olefins? As mentioned above, if the carbocations are formed in the reactions, they are stabilized through coordination by the neighbouring divalent sulphur. In this case, the nonbonding orbitals of S, which are filled with electrons, play an important role in the stabilization since a carbocation has a vacant orbital on C+. The vacant orbital of C+ shares the electrons in the nonbonding orbital on S, especially the p-type orbital.
As shown in Fig. 6, the activation energies for the TSs on the C–C bond rotations in MeS+C2H4 and MeCOS+C2H4 were calculated to be 208 and 173 kJ mol−1, respectively. The ΔE‡ value for the latter was smaller than that for the former by 35 kJ mol−1, which may result from the weaker electron donation ability of S in SCOMe relative to that in SMe. Namely, the C–S bonds of MeCOS+C2H4 would be less stable than those in MeS+C2H4. Nevertheless, the ΔE‡ values of 173–208 kJ mol−1 seemed too high to contribute to the reactions as carbocations in reality. In the case of the episulfonium MeS+C2H2Me2 and MeCOS+C2H2Me2 ions, the E-types were evaluated to be less stable than the Z-types, although E-MeCH = CHMe was slightly more stable than Z-MeCH = CHMe (see Fig. 6). The ΔE‡ values for the site change processes were similarly calculated to be 165 and 103 kJ mol−1 relative to the Z forms of the episulfonium MeS+C2H2Me2 and MeCOS+C2H2Me2 ions, respectively. The difference in the activation energies again came from that of the donating ability of S in MeS and MeCOS. The difference in the ΔE‡ values of the C2H2Me2 adducts was larger than those of the C2H4 adducts. The two Me groups in the sulfonium ions contributed to decreasing the ΔE‡ values by stabilizing electronically but destabilizing sterically, which were predicted to be stabilized totally by 43–70 kJ mol−1. The ΔE‡ values of 103–165 kJ mol−1 seemed too high for the free carbocations to contribute to the site exchange processes, again, in spite of the stabilization of the TSs by the Me groups.
It seems necessary to rotate around the C–C bond for the interconversion of the threo- and erythro-isomers. The direct C–C bond rotation in episulfonium ions seems difficult judging from the predicted high activation energies. Indeed, the episulfonium ions are stabilized in polar solvents, but the free carbonium ions should also be stabilized. Therefore, the interconversion between the threo- and erythro-isomers would not be greatly decelerated in polar solvents. The interconversion mechanism should be clarified theoretically. The differences between the experimental and calculation conditions should also be considered carefully. The next issue was to verify the interconversion processes based on the theoretical background.
Species X-*-Y | ρb(rc) (eao−3) | c∇2ρb(rc)b (au) | Hb(rc) (au) | Rc (au) | θd (°) | Ciie (Å mdyn−1) | θpf (°) | κpg (au−1) | Predicted nature |
---|---|---|---|---|---|---|---|---|---|
a Data are given at BCPs.b c∇2ρb(rc) = Hb(rc) − Vb(rc)/2, where c = ћ2/8m.c R = (x2 + y2)1/2, where (x, y) = (Hb(rc) − Vb(rc)/2, Hb(rc)).d θ = 90° − tan−1 (y/x).e Diagonal elements of the compliance constant.f θp = 90° − tan−1 (dy/dx).g κp = |dy2/dx2|/[1 + (dy/dx)2]3/2. | |||||||||
1asyn-C1 | |||||||||
C1-*-O | 0.4099 | −0.0626 | −0.7298 | 0.7325 | 184.9 | 0.089 | 165.2 | 1.9 | SS/Cov-s |
C1-*-S | 0.1801 | −0.0307 | −0.1215 | 0.1253 | 194.2 | 0.490 | 200.2 | 0.1 | SS/Cov-w |
S-*-I | 0.1070 | −0.0033 | −0.0533 | 0.0534 | 183.6 | 0.421 | 183.9 | 11.1 | SS/Cov-w |
C1-*-Ci | 0.2628 | −0.0862 | −0.2438 | 0.2586 | 199.5 | 0.233 | 201.7 | 0.1 | SS/Cov-s |
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1aobsd | |||||||||
C1-*-O | 0.4138 | −0.0608 | −0.7411 | 0.7436 | 184.7 | SS/Cov-s | |||
C1-*-S | 0.1860 | −0.0341 | −0.1304 | 0.1348 | 194.6 | SS/Cov-w | |||
S-*-I | 0.1052 | −0.0032 | −0.0516 | 0.0517 | 183.5 | SS/Cov-w | |||
C1-*-Ci | 0.2611 | −0.0851 | −0.2410 | 0.2555 | 199.4 | SS/Cov-s | |||
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1msyn-C1 | |||||||||
C1-*-O | 0.4140 | −0.0603 | −0.7414 | 0.7438 | 184.6 | 0.086 | 164.3 | 1.9 | SS/Cov-s |
C1-*-S | 0.1830 | −0.0321 | −0.1255 | 0.1295 | 194.3 | 0.479 | 200.2 | 0.1 | SS/Cov-w |
S-*-I | 0.1073 | −0.0034 | −0.0535 | 0.0536 | 183.7 | 0.417 | 184.1 | 10.7 | SS/Cov-w |
C1-*-CMe | 0.2502 | −0.0779 | −0.2234 | 0.2366 | 199.2 | 0.250 | 201.7 | 0.1 | SS/Cov-s |
The θ values were larger than 180° (Hb(rc) − Vb(rc)/2 < 0) for all interactions shown in Table 4. Such interactions are called shared shell (SS) interactions, which correspond to classical covalent (Cov) bonds. The Cov bonds of SS are called strong (Cov-s) when R > 0.15 au and weak (Cov-w) when R < 0.15 au (tentative). The (R, θ) values were (0.237–0.259 au, 199.2–199.5°) for CCO-*-CR in 1asyn-C1, 1aobsd and 1msyn-C1, which were typical examples of the classical strong covalent (single) bond that appeared in the SS region, according to the above criteria, and denoted by SS/Cov-s. The (R, θ) values were (0.733–0.744 au, 184.6–184.9°) for O-*-C, (0.125–0.135 au, 194.2–194.6°) for C-*-S and (0.052–0.054 au, 183.5–183.7°) for S-*-I in 1asyn-C1, 1aobsd and 1msyn-C1. Consequently, the O-*-C, C-*-S and S-*-I bonds were predicted to have SS/Cov-s, SS/Cov-w and SS/Cov-w nature, respectively. The θ values of 194.2–194.6° for C-*-S were largest among the three bonds in the COSI group, but the R values of 0.125–0.135 au seemed close to the borderline value of 0.15 au. The values may change somewhat depending on the basis sets employed for the calculations.29 The C-*-S bonds may be better recognized to have SS/Cov-s nature.
We used another set of criteria, which are more commonly used. The set of criteria employs the (θ, θp) values, where 45° < θ < 206.6° and 45° < θp < 206.6°.16 While θ classifies the interactions, θp characterizes them. It has been established that the (θ, θp) values of (75°, 90°), (90°, 125°), (115°, 150°), (150°, 180°) and (180°, 190°) correspond to the borderlines between the nature of the interactions for vdW/t-HBnc (typical hydrogen bonds with no covalency), t-HBnc/t-HBwc (typical HBs with covalency), t-HBwc/CT-MC (interactions in molecular complexes through charge transfer), CT-MC/CT-TBP (interactions in trigonal bipyramidal adducts through CT) and CT-TBP/Cov-w (weak covalent bonds). The parameters described in bold were superior to the tentative parameters in the classification and/or characterization of interactions.
The nature of the three bonds (C1-*-CR, C1-*-S and S-*-I) were re-examined based on this set of criteria, together with (θ, θp) = (199.2–199.5°, 201.7°) for the typical classical single bond of C1-*-CR (SS/Cov-s), as guidance. The C-*-S bonds are typically predicted to have SS/Cov-s nature, based on the (θ, θp) values of (194.2–194.3°, 200.2°) irrespective of R values.
The (θ, θp) values were (183.6–183.7°, 183.9–184.1°) for S-*-I, which predicted the SS/Cov-w nature for the bond. The nature derived from the (θ, θp) values seemed in good agreement with those based on the (R, θ) values for the three bonds. However, the (θ, θp) values were (184.6–184.9°, 164.3–165.2°) for C1-*-O, where the θp values of 164.3–165.2° corresponded to the CT-MC nature irrespective of the R values. The results may show abnormal character for C1-*-O, which would be affected by the I⋯O interaction. Indeed, such character was not detected in S-*-I, but the (θ, θp) values for S-*-I would be somewhat curious. The θp values seemed very close to the θ values in 1asyn-C1 and 1msyn-C1, although the θp values were substantially larger than θ for the standard interactions. Such discrepancies in the parameters for the bonds seemed to originate from the abnormal characteristics of the bonds in the species (see Table 4). The discrepancies seemed large for C1-*-O and S-*-I but not C-*-S (and C1-*-CR). Abnormal characteristics were also found in the complicated plots (curves) for the former, as shown in Fig. 8.
The character of the O-*-C1-*-S-*-I bonds in 1 would be clarified more if the I-*-O interactions could be analysed. The COSI four-membered ring with the 6p electrons in 1 were reminiscent of the stabilization of the system by the aromatic character. However, further insight into the issue was not attempted since BPs with BCPs corresponding to I-*-O were unfortunately not detected, while the bonds were significantly shorter than those expected. It was noteworthy that from the appearance to the disappearance of the BPs with BCPs corresponding to I-*-O of 1asyn-C1 and 1msyn-Cs, the bonds seemed near the borderline, judging from the contour maps of ρb(rc) shown in Fig. 7, although the appearance and disappearance of the BPs were very complex and difficult to analyse in the context of this study. A detailed analysis of the I⋯O interactions without BPs would be beyond the scope of this study.
The theoretical calculations performed on 1a with MP2/S-TZPsp perfectly reproduced the observed results. Mechanisms for the reactions were proposed based on the theoretical calculations performed on the reactions of MeCOSI (1m) and CH2CH2 with MP2/S-TZPsp. The mechanisms were also investigated for the reactions of alkane sulfenyl iodides with olefins, which are seldom encountered, as exemplified by methane sulfenyl iodide 14m and CH2
CH2 with MP2/S-TZPsp. The proposed mechanisms for both reactions seemed very similar. Episulfurans played an important role in the reactions as intermediates, especially in the initial stages. The dynamic and static nature of the interactions in question were also predicted based on QTAIM-DFA.
The structure and reactivity of acylsulfenyl iodides 1 must shed light on the anti-thyroidal activity and tyrosine residue of thyroglobulin and the related area. Such investigations are in progress.
S-Triphenylgermenium carbothioates,34,35 S-diphenylgermenium di(carbothioates),34,35 S-triphenyltin carbothioates,34,35 S-diphenyltin di(carbothioates),34,35 S-triphenyllead carbothioates,35 and S-diphenyllead di(carbothioates)35 were prepared according to the literature (Scheme S1 of the ESI†). Their yields, physical properties and spectral data are shown in Tables 37–42 and the procedures in Exp. S2 of the ESI.†
QTAIM-DFA14–19 was developed by applying the QTAIM approach and is explained in the appendix of ESI using Schemes SA1–SA3, Fig. SA1 and SA2, Table SA1 and eqn (SA1)–(SA7).† Hb(rc) was plotted versus Hb(rc) − Vb(rc)/2 (= (ћ2/8m)∇2ρb(rc)) (QTAIM-DFA plot). Data from the fully optimized structures were analysed using the polar coordinate (R, θ) representation, while those from both perturbed and fully optimized structures were expressed by (θp, κp), where θp and κp corresponded to the tangent line of the curvature, respectively, in the plot. The definitions of the QTAIM parameters of (R, θ) and (θp, κp) were also found in the footnotes of Table 4 and Fig. 8.
It is necessary to establish a reliable method to generate the perturbed structures for the effective analysis with QTAIM-DFA. We recently proposed a highly reliable method to generate the perturbed structures for QTAIM-DFA.47 The method is named CIV and employs the coordinates derived from the compliance constants Cii for the internal vibrations. Eqn (1) defines Cij, as the partial second derivatives of the potential energy due to an external force, where i and j refer to internal coordinates, and the force constants fi and fj correspond to i and j, respectively. While the off-diagonal elements Cij (i ≠ j) in eqn (1) correspond to the compliance coupling constants, the diagonal elements Cii represent the compliance constants for an internal coordinate i. The Cii values and coordinates corresponding to Cii were calculated using the Compliance 3.0.2 program48 released by Grunenberg and Brandhorst.49–53
Eqn (2) explains the method to generate the perturbed structures with CIV. The k-th perturbed structure in question (Skw) was generated by the addition of the coordinates of the k-th internal vibration (Ck) in question to the standard orientation of a fully optimized structure (So) in the matrix representation. The coefficient fkw in eqn (2) controlled the difference in the structures between Skw and So; fkw was determined to satisfy eqn (3) for an interaction in question, where r and ro stand for the distances in question in the perturbed and optimized structures, respectively, with ao equal to the Bohr radius (0.52918 Å). Five data points for w = 0, ±0.05 and ±0.1 in eqn (3) were typically used in the QTAIM-DFA plots. Each plot was analysed using a regression curve of the cubic function, as shown in eqn (4), where (x, y) = (Hb(rc) − Vb(rc)/2, Hb(rc)) (Rc2 > 0.99999 in usual).16
Cij = ∂2E/∂fi∂fj | (1) |
Skw = So + fkw·Ck | (2) |
r = ro + wao (w = (0), ±0.05, ±0.1; ao = 0.52918 Å) | (3) |
y = co + c1x + c2x2 + c3x3 | (4) |
Footnotes |
† Electronic supplementary information (ESI) available: Experimental data, QTAIM-DFA approach, and computational data. CCDC 2121145. For ESI and crystallographic data in CIF or other electronic format see DOI: https://doi.org/10.1039/d3ra00646h |
‡ Present address: Maruno-uchi 2-14-32, Lions-City Maruno-uchi 1105, Naka-ku, Nagoya 460-0002, Japan. |
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