Statistical study of the radiation losses due to surface roughness for a dilectric slab deposited on a metal substrate

This paper presents an original method of analyzing radiation loss from dielectric slab with random wall imperfections. The method is based on Maxwell’s equations under their covariant form written in a non-orthogonal coordinate system. The solution is found by using a perturbation method applied to the smooth surface problem. The statistical characteristics of the radiation intensity, the average value and the probability density function, are analytically determined.     

A semi‐synthetic analog of the cembranoid sarcophine

The title mol­ecule, 2(R)‐[(1E,3E,7S,8S,11E,13R)‐13‐hydroxy‐4,8,12‐tri­methyl‐7,8‐epoxy­cyclo­tetradeca‐1,3,11‐trien‐1‐yl]­propane‐1,2‐diol, C₂₀H₃₂O₄, is a semi‐synthetic analog of sarcophine, the natural cembranoid of marine origin, isolated from the soft coral Sarcophyton glaucum. The conformation of the 14‐membered ring differs substantially from that of sarcophine. The two OH groups of the propane‐1,2‐diol moiety form an unusual weak intramolecular hydrogen bond with an O⋯O distance of 2.788 (2) Å, and the mol­ecules are linked into double chains by intermolecular hydrogen bonds with O⋯O distances of 2.772 (2) and 2.849 (2) Å.     

Electrochemically selective double C(sp2)–X (X = S/Se,N) bond formation of isocyanides

The construction of C(sp²)–X (X = B, N, O, Si, P, S, Se, etc.) bonds has drawn growing attention since heteroatomic compounds play a prominent role from biological to pharmaceutical sciences. The current study demonstrates the C(sp²)–S/Se and C(sp²)–N bond formation of one carbon of isocyanides with thiophenols or disulfides or diselenides and azazoles simultaneously. The reported findings could provide access to novel multiple isothioureas, especially hitherto rarely reported selenoureas. The protocol showed good atom-economy and step-economy with only hydrogen evolution and theoretical calculations accounted for the stereoselectivity of the products. Importantly, the electrochemical reaction could exclusively occur at the isocyano part regardless of the presence of susceptible radical acceptors, such as a broad range of arenes and alkynyl moieties, even alkenyl moieties.

We have developed an efficient and sustainable electrochemical strategy for the double C(sp²)–X (S/Se, N) bond formation of isocyanides simultaneously. A series of novel isothio/selenoureas were obtained via a three-component cross-coupling.

The construction of C(sp²)–X (X = B, N, O, Si, P, S, Se, etc.) bonds has drawn increased attention from researchers since heteroatomic compounds play a prominent role in various fields.¹ Traditionally, the transition-metal-catalyzed cross-coupling of a nucleophile and an electrophile is an important method for the formation of C(sp²)–X bonds.² Obviously, the direct cross-coupling of C(sp²)–H/X–H is a time-, effort-, and resource-economical process to construct C(sp²)–X bonds as it avoids the pre-functionalization of substrates.³ Alternatively, radical chemistry provides greener and more mild strategies for the formation of C(sp²)–X bonds, and a variety of high added-value compounds can be afforded successfully.⁴ Despite the numerous advances, these reported reactions are limited as they involve only single C(sp²)–X bond formation. Access to double C(sp²)–X bonds formation of one carbon remains still a room for improvement stimultaneously.As an ideal connector, isocyanides could be inserted into metal–carbon and metal–heteroatom bonds to construct double C(sp²)–X bonds.⁵ On the other hand, isocyanides could transform into heteroatomic molecules with electrophiles, nucleophiles and radicals.⁶ Although many elegant studies have been reported, the above methods are largely limited by the pre-functionalization of the substrate, the toxicity of metals or tedious synthesis steps. From the point of synthetic efficiency and economy, exploiting a novel, efficient, and diverse radical strategy to access double C(sp²)–X bonds under mild conditions and with broad functional group tolerance is of paramount importance and in urgent demand.Radical transformation processes are ubiquitous throughout synthesis chemistry and provide new ideas for forging new bonds and novel molecules, especially valuable product motifs.⁷ As a complementary strategy to conventional radical-based reactions, electrochemistry, effectively transferring electrons from the electrode surface to the substance, has been developed into a powerful synthetic technique toward radical chemistry.⁸ This electrochemical strategy further stimulated a resurgence of interest in radical chemistry with good atom-economy and step-economy.⁹ Myriad electrochemical-induced radical reactions have been reported via single-electron oxidation/reduction with a plethora of radicals and radical acceptors. As reported, alkenes, alkynes, and cyano and aromatic compounds could be considered to be favorable radical acceptors in diverse transformations, such as cross-coupling, cyclization and difunctionalization reactions.¹⁰ However, the application of isocyanides as radical acceptors is limited in utility due to electrochemical tandem cyclization.¹¹ Therefore, on the basis of our research on electrochemical oxidative functionalization of isocyanides,¹² we continued to explore the properties of isocyanides as radical acceptors under electrochemical conditions.Initially, we commenced our investigations by using abundant and inexpensive phenyl disulfide (1), ethyl 2-isocyanoacetate (2) and 1H-benzo[d][1,2,3]triazole (3) as model substrates in a single operation via a three-component cross-coupling. After systematic optimization, the isothiourea 21 could been obtained in 90% isolated yield. To gain insights into the reaction process, we continued to carry out a series of control experiments as shown in Scheme 1. The control experiment demonstrated that electricity is indispensable. Under standard conditions, addition of 2.0 equivalents of 2,2,6,6-tetramethyl-1-piperidinyloxy (TEMPO) showed no traces of product. Similarly, the reaction was suppressed in the presence of butylated hydroxytoluene (BHT). The P(OEt)₃-trapping product could be detected by gas chromatography mass spectrometry (GCMS). Simultaneously, a S-centred radical signal (g = 2.0070, AN = 13.40 G, AH = 14.88 G) was quickly trapped by 5,5-dimethyl-1-pyrroline N-oxide (DMPO) via electron paramagnetic resonance (EPR) experiments. The reported results revealed that this reaction might proceed via S-radical pathways.Open in a separate windowScheme 1Control experiments.For deeper research of the priority of interaction for isocyanides vs. other radical acceptors with radicals, we sought to conduct robustness screening of a wide range of radical acceptors as shown in Scheme 2.¹³ The addition of an aryl olefin led to the complete shutdown of product formation (21) and the products of difunctionalization of alkenes were also not detected. To our delight, the alkenyl moiety did not affect the reaction efficiency under the electrochemical conditions. Unlike the aryl olefin, the addition of phenylacetylene did not inhibit product formation (21), delivering a yield of 93%. Similarly, ethyl 2-isocyanoacetate could be transformed into product (21) smoothly with 1-heptyne. The addition of mesitylene preserved the yield, while the yield decreased slightly with anisole. With the addition of furan and thiophene, an excellent yield of product (21) could still be obtained. Beside electron-donating arenes, we continued to add electron-withdrawing arenes to the reaction system. As expected, a satisfactory yield was obtained with 4-cyanopyridine. The results revealed that the electrochemical reaction exclusively occurred at the isocyano part regardless of the presence of electron-withdrawing arenes, electron-donating arenes and the alkynyl moiety, even the alkenyl moiety, which are also susceptible to radical conditions.Open in a separate windowScheme 2Competitive experiments of isocyanides vs. other radical acceptors with radicals. Conditions: 1 (0.15 mmol), 2 (0.6 mmol), 3 (0.5 mmol), R. A. = radical acceptors (0.6 mmol), ⁿBu₄NBF₄ (0.5 mmol), MeCN (6 mL), cloth anode, Pt cathode, undivided cell, constant current = 10 mA, room temperature, N₂, 2.25 h. ¹HNMR yield, dibromomethane as an internal standard.In order to further investigate the compatibility, we firstly examined the substrate scope of alkyl disulfides for the synthesis of isothioureas with ethyl 2-isocyanoacetate (2) and 1H-benzo[d][1,2,3]triazole (3) as shown in Scheme 3. To our delight, the yields did not decrease significantly with the increase of the carbon chain from methyl to decyl in this transformation (4–7). Isopropyl, isobutyl, cyclopentyl and cyclohexyl were well tolerated with good to excellent yields (8–11). Substances, containing sensitive benzylic C–H bonds, were tolerated to access novel isothioureas in this electrochemical induced-radical process (12–14, 34). Afterwards, we continued to explore the applicability from alkyl disulfides to thiophenol and a series of molecule isothioureas were obtained successfully with satisfactory yield. Thiophenol, containing electron-neutral (F, Cl, Br, H), electron-withdrawing (OCF₃, CF₃, and CO₂Me) and electron-donating (Me, Et, ^tBu, OMe, and SMe) groups, could smoothly transform to realize this process with high stereoselectivity under mild conditions (15–26). The structure of Z-conformer (16) was confirmed by X-ray crystallographic analysis. In addition, this protocol was successfully applied to thiophenols bearing diverse groups at different positions with good yields, indicating that steric hindrance has no obvious effect (20, 27–31). With curiosity, we tried to evaluate the tolerance of diselenides to construct novel Se–C–N bonds simultaneously. Unexpectedly, regardless of alkyl diselenides (32–33), benzyl diselenide (34) or aryl diselenide (35), all were well tolerated under electrochemical conditions, providing a series of unprecedented isoselenoureas, which were inaccessible by conventional methods. The compatibility of sensitive functional groups provides an opportunity for further molecular modification. The sensitive functional architectures including but not limited to ester (36), benzyloxy (37), allyl and allyloxy as well as endene (38, 41–44), labile alkyl chloride (39) and alkyl bromide (40), propargyl (44), and thiophene (45), all remained intact, enriching the diversity of heteroatom compounds. The merit of this methodology was further demonstrated by elaboration of a wide gamut of functional molecules and drug molecules to diverse isothioureas. Natural products including l-menthol and geraniol (46–47), food additives including isopulegol and furfuryl alcohol (48–49), and pharmaceuticals including ibuprofen (50) were apt to give rise to the corresponding isothioureas in 50–78% yields.Open in a separate windowScheme 3Scope of thiophenols/disulfides/diselenides. Conditions: ^a disulfides/diselenides (0.15 mmol) or ^b thiophenols (0.3 mmol), isocyanides (0.6 mmol), 1H-benzotriazole (0.5 mmol), ⁿBu₄NBF₄ (0.5 mmol), MeCN (6 mL), cloth anode, Pt cathode, undivided cell, constant current = 10 mA, room temperature, N₂, 2.25 h. Isolated yield.After defining the scope of thiophenols and disulfides, we turned our attention to explore the substrate scope with respect to nucleophiles in Scheme 4. Benzotriazole, with mono-substitution or multi-substitution, could be efficiently converted to the corresponding skeletons in 55–75% yields (51–54). Under standard conditions, pyrazole also showed great reactivity with phenyl disulfide or ethyl disulfide (55–56). The introduction of a halogen group in pyrazolylcycle, especially a subtle C–I bond, was compatible with satisfactory results (57–59, 64–65). 4-Methyl-1H-pyrazole as a coupling partner also realized the aminosulfenylation of isocyanide, albeit less efficiently (62). Of note is that the yield was increased to 70% from 40% by replacing methyl with phenyl (63). In addition to benzotriazole and pyrazole derivatives, other triazoles and tetrazole were proved to be viable coupling partners as well, enabling access to the target products in synthetically useful yields (66–70). Subsequently, with this established-optimized condition, we set out to investigate substrates for isocyanide coupling partners. With methyl isocyanoacetate (71), a similar effect was observed in an electrochemical difunctionalization reaction. As expected, both tosylmethyl isocyanide and benzyl isocyanide were demonstrated to be competent substrates (72–73). Cyclohexyl isocyanide, as a representative of secondary isocyanides, converted into the corresponding product (74). Gratifyingly, isocyanides, regardless of the steric effect, could engage with thiophenols to give the corresponding adducts in good yields (75–76). Aryl isocyanides however afforded the desired products in low yields under standard reaction conditions (77–78).Open in a separate windowScheme 4Scope of azazoles. Conditions: ^a disulfides/diselenides (0.15 mmol) or ^b thiophenols (0.3 mmol), isocyanides (0.6 mmol), azazoles (0.5 mmol), ⁿBu₄NBF₄ (0.5 mmol), MeCN (6 mL), cloth anode, Pt cathode, undivided cell, constant current = 10 mA, room temperature, N₂, 2.25 h. Isolated yield.To evaluate the feasibility of this electrochemical protocol, we monitored the reaction on a 4.5 mmol scale as shown in Scheme 5. Under similar conditions, by prolonging the reaction time to 34 h, a good isolated yield of 72% was obtained, which provided an opportunity for further synthetic manipulations.Open in a separate windowScheme 5Gram-scale synthesis.In order to account for the stereoselectivity of products, theoretical calculations were performed. The result demonstrated that the free energy of the Z-conformer of the product 16 is 2.3 kcal mol⁻¹ smaller than that of the E-conformer.Based on a previously reported mechanistic study¹⁴ and these above observations, a synthetically possible mechanism for the electrochemical intermolecular difunctionalization reaction is depicted in Scheme 6. A sulfur radical was formed via single-electron-transfer (SET) reduction of the disulfide or SET oxidation of the thiophenol. Subsequently, the exclusive capture of the S-radical by the isocyano part yields the imine C-radical I. Further SET oxidation of this radical intermediate to the corresponding imine carbocation II, followed by nucleophilic trapping intermolecularly, affords the final isothioureas.Open in a separate windowScheme 6Proposed reaction mechanism.     

Organoiron polymers containing azo dyes

The synthesis of cationic organoiron polymers with azobenzene moieties in their side chains has been accomplished via nucleophilic aromatic substitution and ring-opening metathesis polymerization (ROMP) reactions. Polyaromatic ethers and thioethers with azobenzene moieties in their side chains were functionalized with different chromophores to yield yellow-, orange- and red-colored polymers. Polynorbornenes with azobenzene-containing side chains were isolated following ROMP of their monomeric analogs. All of the organoiron polymers were soluble in polar organic solvents and underwent reversible electrochemical reduction processes. Photobleaching of the azobenzene-containing polymers was achieved in the presence of hydrogen peroxide. The metallated polymers had glass transition temperatures approximately 50 to 80°C higher than their organic analogs.     

Synthesis of iron-containing polymers with azo dyes in the backbones or side chains

The synthesis of cationic cyclopentadienyliron-containing polymers with pendent azobenzene chromophores was accomplished via metal-mediated nucleophilic aromatic substitution reactions. All of the desired polymers were isolated as vibrantly coloured materials and displayed excellent solubility in polar aprotic solvents. Cationic and neutral cyclopentadienyliron polymers incorporating azo dyes in the backbone were also prepared. Reactions of azo dyes with dichlorobenzene complexes allowed for the isolation of cationic cyclopentdienyliron (CpFe₊) complexes with azo dye chromophores. These complexes were then reacted with 1,1′-ferrocenedicarbonyl chloride to produce the trimetallic monomers with terminal chloro groups. These monomers contained two pendent CpFe₊ cations and a neutral iron moiety in the backbone. Nucleophilic substitution reactions of these monomers with oxygen and sulfur containing dinucleophiles gave rise to a new class of polymeric materials. The pendent CpFe₊ moieties could also be cleaved from the polymer backbones using photolysis to afford novel ferrocene based polymers. The UV-vis spectra of the organoiron monomers and polymers display similar wavelength maxima however incorporating azobenzene chromophores with electron-withdrawing substituent into the polymer chains resulted in bathochromic shifts of the λ_max values.     

Organoiron polynorbornenes with pendent arylazo and hetarylazo dye moieties

Organoiron polynorbornene containing arylazo or hetarylazo dye chromophores has been prepared via ring opening metathesis polymerization using Grubbs' catalyst. The obtained polymers were isolated as brightly colored materials and displayed good solubility in polar organic solvents. The colors of these polymers were affected by the nature of the incorporated azo chromophores. Thermogravimetric analysis of these materials showed that the cleavage of the cyclopentadienyliron (CpFe⁺) moieties was between 225 and 231 °C, while the degradation of the polymer backbones occurred between 400 and 450 °C. UV-vis studies in DMF showed that the organoiron polymers containing arylazo dyes exhibit wavelength maxima around 425 nm. However, the replacement of these arylazo moieties with hetarylazo dyes displayed substantial bathochromic shifts in the λ_max values (≈ 511 nm).