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Search for "ring-opening" in Full Text gives 519 result(s) in Beilstein Journal of Organic Chemistry. Showing first 200.

Diastereo- and enantioselective preparation of cyclopropanol derivatives

  • Marwan Simaan and
  • Ilan Marek

Beilstein J. Org. Chem. 2019, 15, 752–760, doi:10.3762/bjoc.15.71

Graphical Abstract
  • when the same sequence of diastereoselective carbometalation/oxidation was performed on cyclopropenyl ester 1, the in situ-formed donor–acceptor cyclopropanol undergoes a selective ring-opening to provide the acyclic product possessing a quaternary carbon stereocenter [57]. As the enantioselective
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Published 21 Mar 2019

Dirhodium(II)-catalyzed [3 + 2] cycloaddition of N-arylaminocyclopropane with alkyne derivatives

  • Wentong Liu,
  • Yi Kuang,
  • Zhifan Wang,
  • Jin Zhu and
  • Yuanhua Wang

Beilstein J. Org. Chem. 2019, 15, 542–550, doi:10.3762/bjoc.15.48

Graphical Abstract
  • ciprofloxacin and moxifloxacin (Scheme 1), and reverse transcriptase inhibitors [2], such as nevirapine. Meanwhile, since 1 contains a three-membered ring with high tension [3][4][5][6] and a nitrogen prone to single-electron oxidation, ring opening readily occurs followed by N-centered radical formation. The
  • (Rh2(II,II)), that efficiently catalyzes the ring opening of 1 to achieve cycloaddition with alkene substrates under an argon atmosphere [18]. During the reaction, no metal valence changes were observed. We proposed that Rh2(II,II) may coordinate with the nitrogen in 1 to decrease the bond dissociation
  • 3,5-dimethyl compound 1d afforded the desired product 3d with an excellent yield of 91% (Table 2, entry 3). We reasoned the electron-withdrawing groups on the arene increased the nitrogen–hydrogen bond dissociation energy (BDEN–H) of compound 1 [21], decreasing the rate of ring opening. Substrates 1i
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Published 25 Feb 2019

Aqueous olefin metathesis: recent developments and applications

  • Valerio Sabatino and
  • Thomas R. Ward

Beilstein J. Org. Chem. 2019, 15, 445–468, doi:10.3762/bjoc.15.39

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  • publication, catalyst 9 was used for an aqueous living ring-opening metathesis polymerization-induced self-assembly (ROMPISA). The authors demonstrated the possibility of performing living ROMP in water selecting a quaternary ammonium-based phenyl norbornene carboximide as core-forming monomer [60]. This
  • tags. c) PEG-tethered catalysts. Chemical structure and components of amphiphilic molecule PTS and derivatives. In vivo metathesis with an artificial metalloenzyme based on the biotin–streptavidin technology. Most common metathesis reactions. Ring-opening metathesis polymerization (ROMP), acyclic diene
  • metathesis (ADMET), ring-closing metathesis (RCM), ring-opening metathesis (ROM), and cross-metathesis (CM). Catalytic cycle for metathesis proposed by Chauvin. First aqueous ROMP reactions catalyzed by ruthenium(III) salts. Degradation pathway of first generation Grubbs catalyst (G-I) in methanol. Synthesis
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Published 14 Feb 2019

Syntheses and chemical properties of β-nicotinamide riboside and its analogues and derivatives

  • Mikhail V. Makarov and
  • Marie E. Migaud

Beilstein J. Org. Chem. 2019, 15, 401–430, doi:10.3762/bjoc.15.36

Graphical Abstract
  • more concentrated alkaline conditions (5 N KOH) as a result of a pyridinium ring opening–closure process [57]. It was also shown that the ionization of a diol fragment of NAD+ under alkaline conditions plays a very important role in the dissociative cleavage of the glycosyl bond of the “northern
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Published 13 Feb 2019

Annulation of 1H-pyrrole-2,3-diones by thioacetamide: an approach to 5-azaisatins

  • Aleksandr I. Kobelev,
  • Ekaterina E. Stepanova,
  • Maksim V. Dmitriev and
  • Andrey N. Maslivets

Beilstein J. Org. Chem. 2019, 15, 364–370, doi:10.3762/bjoc.15.32

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  • corresponding 1H-pyrrolo[3,2-c]pyridine-2,3-dione 4l. The most possible explanation of this fact is the steric hindrance introduced by the N-phenyl substituent, which obstructs the thiazole ring opening. Conclusion In summary, we have developed a novel approach to 1H-pyrrolo[3,2-c]pyridine-2,3-diones (5
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Published 07 Feb 2019

Reusable and highly enantioselective water-soluble Ru(II)-Amm-Pheox catalyst for intramolecular cyclopropanation of diazo compounds

  • Hamada S. A. Mandour,
  • Yoko Nakagawa,
  • Masaya Tone,
  • Hayato Inoue,
  • Nansalmaa Otog,
  • Ikuhide Fujisawa,
  • Soda Chanthamath and
  • Seiji Iwasa

Beilstein J. Org. Chem. 2019, 15, 357–363, doi:10.3762/bjoc.15.31

Graphical Abstract
  • the catalyst leakage during the work-up. Synthetic transformations of 2d and 2f In order to demonstrate the advantages of products, further synthetic transformations of the cyclopropane products were investigated. A ring opening and direct amidation of the chiral cyclopropane-fused γ-lacton 2d using
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Published 06 Feb 2019

Sigmatropic rearrangements of cyclopropenylcarbinol derivatives. Access to diversely substituted alkylidenecyclopropanes

  • Guillaume Ernouf,
  • Jean-Louis Brayer,
  • Christophe Meyer and
  • Janine Cossy

Beilstein J. Org. Chem. 2019, 15, 333–350, doi:10.3762/bjoc.15.29

Graphical Abstract
  • formation of the gem-dichloro-α-lactam intermediate 17f which would undergo ring opening by nucleophilic addition of pyrrolidine followed by hydrolysis of the resulting α,α-dichloro-α-aminoacetamide 18f (Scheme 12). To access aminocyclopropanes, the hydrogenation of (arylmethylene)cyclopropane 13f was
  • were converted into α-allenic tertiary alcohols 22a–c (30–61%) The formation of alcohols 22a–c was explained by a mechanism involving ionization of the C4–O bond in imidates 21a–c, followed by ring opening of the alkylidenecyclopropyl cationic intermediates 23a–c [52] and addition of water to the
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Published 05 Feb 2019

Application of olefin metathesis in the synthesis of functionalized polyhedral oligomeric silsesquioxanes (POSS) and POSS-containing polymeric materials

  • Patrycja Żak and
  • Cezary Pietraszuk

Beilstein J. Org. Chem. 2019, 15, 310–332, doi:10.3762/bjoc.15.28

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  • silsesquioxanes (POSS) and POSS-containing polymeric materials. Three types of processes, i.e., cross metathesis (CM) of vinyl-substituted POSS with terminal olefins, acyclic diene metathesis (ADMET) copolymerization of divinyl-substituted POSS with α,ω-dienes and ring-opening metathesis polymerization (ROMP) of
  • metathesis in chemistry of unsaturated derivatives of POSS is limited to three types of processes, i.e., cross metathesis (CM) of vinyl-substituted POSS with terminal olefins, acyclic diene metathesis (ADMET) copolymerization of divinyl-substituted POSS with α,ω-dienes and ring-opening metathesis
  • to 11033 Da and polydispersity index (PDI) = 1.5. Ring-opening metathesis polymerization (ROMP) of POSS-functionalized monomers The chemistry of inorganic–organic hybrid materials has emerged as a fascinating new field of modern nanotechnology. The inclusion of POSS cages into the polymeric material
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Published 04 Feb 2019

Oxidative radical ring-opening/cyclization of cyclopropane derivatives

  • Yu Liu,
  • Qiao-Lin Wang,
  • Zan Chen,
  • Cong-Shan Zhou,
  • Bi-Quan Xiong,
  • Pan-Liang Zhang,
  • Chang-An Yang and
  • Quan Zhou

Beilstein J. Org. Chem. 2019, 15, 256–278, doi:10.3762/bjoc.15.23

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  • Yu Liu Qiao-Lin Wang Zan Chen Cong-Shan Zhou Bi-Quan Xiong Pan-Liang Zhang Chang-An Yang Quan Zhou Department of Chemistry and Chemical Engineering, Hunan Institute of Science and Technology, Yueyang 414006, P. R. China 10.3762/bjoc.15.23 Abstract The ring-opening/cyclization of cyclopropane
  • derivatives has drawn great attention in the past several decades. In this review, recent efforts in the development of oxidative radical ring-opening/cyclization of cyclopropane derivatives, including methylenecyclopropanes, cyclopropyl olefins and cyclopropanols, are described. We hope this review will be
  • of sufficient interest for the scientific community to further advance the application of oxidative radical strategies in the ring-opening/cyclization of cyclopropane derivatives. Keywords: cyclopropane derivatives; free radicals; ring-opening/cyclization; Introduction Cyclopropane is a cycloalkane
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Published 28 Jan 2019

Synthesis of nonracemic hydroxyglutamic acids

  • Dorota G. Piotrowska,
  • Iwona E. Głowacka,
  • Andrzej E. Wróblewski and
  • Liwia Lubowiecka

Beilstein J. Org. Chem. 2019, 15, 236–255, doi:10.3762/bjoc.15.22

Graphical Abstract
  • the aziridine (2R,1′S)-27 as a synthetic equivalent of L-serine (Scheme 7) [56]. Stereoselective reduction of ketone (2R,1′S)-28 gave hydroxyaziridine 29 as the major (10:1) product which, after the protection of the hydroxy group, was subjected to the regioselective aziridine ring opening, catalytic
  • -hydroxyglutamate [(2S,4R)-81] (Scheme 20) [82]. To synthesize (2S,4S)-81 the inversion of configuration at C4 executed by Mitsunobu reaction preceded oxidation at C5 and the ring opening [82]. O-Benzyl ethers of (2S,4R)-3 and (2S,4S)-3 were prepared by the same methodology [50]. Another approach to the
  • acid Cleavage of the 5-membered ring in the protected epoxide 88 obtained from (S)-pyroglutamic acid [93][94][95] gave the methyl ester 89 which, when adsorbed on silica gel, smoothly underwent stereospecific epoxide ring opening to give the oxazolidinone 90 (Scheme 23) [96]. Before installation of the
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Published 25 Jan 2019

Olefin metathesis in multiblock copolymer synthesis

  • Maria L. Gringolts,
  • Yulia I. Denisova,
  • Eugene Sh. Finkelshtein and
  • Yaroslav V. Kudryavtsev

Beilstein J. Org. Chem. 2019, 15, 218–235, doi:10.3762/bjoc.15.21

Graphical Abstract
  • across double C=C bonds. The main techniques, actively developed during the last decade and discussed here, are the coupling of end-functionalized blocks, sequential ring-opening metathesis polymerization, and cross metathesis between unsaturated polymers, or macromolecular cross metathesis. The last
  • approaches to multiblock copolymer syntheses via olefin metathesis reactions developed mainly over the past ten years. The following sections address the achievements and perspectives of three main techniques used for this purpose, namely, sequential ring-opening metathesis polymerization, coupling of end
  • -functionalized blocks, and macromolecular cross metathesis. Review Synthesis by sequential ring-opening metathesis polymerization Living ring-opening metathesis polymerization (ROMP) provides an opportunity to use a well-established route to multiblock copolymers based on the repetitive addition of different
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Published 24 Jan 2019

Catalysis of linear alkene metathesis by Grubbs-type ruthenium alkylidene complexes containing hemilabile α,α-diphenyl-(monosubstituted-pyridin-2-yl)methanolato ligands

  • Tegene T. Tole,
  • Johan H. L. Jordaan and
  • Hermanus C. M. Vosloo

Beilstein J. Org. Chem. 2019, 15, 194–209, doi:10.3762/bjoc.15.19

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  • (RCM) of dialkenes, ring-opening metathesis polymerisation (ROMP), isomerisation of alkenes and cross-metathesis (CM) of alkenes [7]. The complexes were synthesized by reacting the lithium salts of the corresponding pyridinyl alcohols with [RuCl2(=CHC6H5)(P(iPr3))2]. These complexes catalysed inter
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Published 22 Jan 2019

Synthesis, biophysical properties, and RNase H activity of 6’-difluoro[4.3.0]bicyclo-DNA

  • Sibylle Frei,
  • Adam K. Katolik and
  • Christian J. Leumann

Beilstein J. Org. Chem. 2019, 15, 79–88, doi:10.3762/bjoc.15.9

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  • -DNA (6’-diF-bc4,3-DNA). The difluorinated thymidine phosphoramidite building block was synthesized starting from an already known gem-difluorinated tricyclic glycal. This tricyclic siloxydifluorocyclopropane was converted into the [4.3.0]bicyclic nucleoside via cyclopropane ring-opening through the
  • inseparable mixture of two diiodo-substituted products was unveiled. The major product was the bicyclic gem-diol 4 and the minor one the corresponding ketone 3. We hypothesize that the α,α-difluoroketone 3 was formed through a cyclopropane ring-opening followed by the addition of the electrophilic iodine in
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Published 08 Jan 2019

Selective ring-opening metathesis polymerization (ROMP) of cyclobutenes. Unsymmetrical ladderphane containing polycyclobutene and polynorbornene strands

  • Yuan-Zhen Ke,
  • Shou-Ling Huang,
  • Guoqiao Lai and
  • Tien-Yau Luh

Beilstein J. Org. Chem. 2019, 15, 44–51, doi:10.3762/bjoc.15.4

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  • strand is 8:1. Keywords: cyclobutene; hydrolysis; linker; metathesis; norbornene; ROMP; selectivity; unsymmetrical ladderphane; Introduction Ring-opening metathesis polymerizations (ROMP) of strained cycloalkenes offer a powerful arsenal for the synthesis of polymers having a variety of fascinating
  • and the olefinic proton of unreacted norbornene pendants, respectively. In the 13C NMR spectrum, the peak at δ 139 ppm owing to the olefinic carbon of cyclobutene shifts to δ 130 ppm due to ring opening, whereas the olefin carbon of the unreacted norbornene moiety at δ 136 ppm remained unchanged after
  • relevant peaks. We have previously found that two norbornene derivatives connected by a flexible linker 15 may undergo cascade ring-opening–ring-closing metathesis polymerization to give single-stranded hammock-like appended polynorbornenes 17 (Scheme 6) [17][18]. The linker in 8 is flexible, and
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Published 03 Jan 2019

Ruthenium-based olefin metathesis catalysts with monodentate unsymmetrical NHC ligands

  • Veronica Paradiso,
  • Chiara Costabile and
  • Fabia Grisi

Beilstein J. Org. Chem. 2018, 14, 3122–3149, doi:10.3762/bjoc.14.292

Graphical Abstract
  • substituent (Figure 15) at the nitrogen atoms were investigated by Copéret and Thieuleux et al. in the tandem ring-opening–ring-closing alkene metathesis (RO–RCM) of cis-cyclooctene (47) and their performance were compared to those of the classical GII-SIMes and GII-IMes [29]. The dissymmetry of the NHC
  • catalysts 61, 64, 65, 67 and 68 (Figure 16) were also investigated in the model asymmetric ring-opening cross metathesis (AROCM) of cis-5-norbornene-endo-2,3-dicarboxylic anhydride (75) with styrene (Scheme 8, Table 3) [32]. In this reaction complex 68 showed the highest selectivity for the formation of the
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Published 28 Dec 2018

6’-Fluoro[4.3.0]bicyclo nucleic acid: synthesis, biophysical properties and molecular dynamics simulations

  • Sibylle Frei,
  • Andrei Istrate and
  • Christian J. Leumann

Beilstein J. Org. Chem. 2018, 14, 3088–3097, doi:10.3762/bjoc.14.288

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  • either by a NIS-mediated or Vorbrüggen nucleosidation yielded in both cases the β-tricyclic nucleoside as major anomer. Subsequent desilylation and cyclopropane ring opening of these tricyclic intermediates afforded the unsaturated 6’F-bc4,3 nucleosides. The successful incorporation of the corresponding
  • enlargement via selective cyclopropane ring opening [46][47][48][49]. Consequently, the synthesis started from the previously described bicyclic silyl enol ethers 1α/β (Scheme 1) [50][51]. The two anomers of 1 were individually transformed into the trimethylsilyl (TMS)-protected sugars 2α/β by adapting and
  • 6α/β were subjected to the next reaction step, where the simultaneous desilylation and cyclopropane ring opening to the bicyclic fluoroenone 7 occurred. HF-pyridine smoothly facilitated this conversion. At this stage the two anomers of fluoroenone 7 were separable. The configurational assignment of
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Published 20 Dec 2018

Organometallic vs organic photoredox catalysts for photocuring reactions in the visible region

  • Aude-Héloise Bonardi,
  • Frédéric Dumur,
  • Guillaume Noirbent,
  • Jacques Lalevée and
  • Didier Gigmes

Beilstein J. Org. Chem. 2018, 14, 3025–3046, doi:10.3762/bjoc.14.282

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  • generation of silylium cations is possible. These cations have been described in the literature for initiation of ring-opening polymerization processes [25]. Cations Ph-NVK+ produced in catalytic cycle (Figure 5B) have also been well noted in the literature as highly reactive structures [26][27]. Amines
  • absorption and redox properties through well selected ligands [52]. This Ir-based complex reacts in the photoredox catalytical cycle with iodonium salt and (TMS)3SiH as the Ru-based complex in reactions 1, 2 and 3. Moreover, Iridium complexes can be interesting for applications in ring-opening
  • photopolymerization initiation as shown in [53] (see Part 3). For this purpose, the Ir complex was more interesting than the Ru one because of the longer excited state lifetime, lower oxidation potential leading to higher interaction rate constants with additives used for ring-opening photopolymerization (e.g
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Published 12 Dec 2018

A tutorial review of stereoretentive olefin metathesis based on ruthenium dithiolate catalysts

  • Daniel S. Müller,
  • Olivier Baslé and
  • Marc Mauduit

Beilstein J. Org. Chem. 2018, 14, 2999–3010, doi:10.3762/bjoc.14.279

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  • Blechert modification (Ru-6) initiates much faster with (E)-2-hexenyl acetate compared to the parent catalyst Ru-3. 4 Selected applications The synthetic usefulness of ruthenium dithiolate catalysts was demonstrated in numerous synthetic applications such as ring-opening metathesis polymerization (ROMP
  • ), ring-opening/cross metathesis (ROCM), cross metathesis (CM), self-metathesis and ring-closing metathesis (RCM) reactions. Scheme 2 and Scheme 3 display selected examples for each of these reactions [1]. ROMP is one of the most facile metathesis reactions, thus allowing for very low catalyst loadings
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Published 07 Dec 2018

Olefin metathesis catalysts embedded in β-barrel proteins: creating artificial metalloproteins for olefin metathesis

  • Daniel F. Sauer,
  • Johannes Schiffels,
  • Takashi Hayashi,
  • Ulrich Schwaneberg and
  • Jun Okuda

Beilstein J. Org. Chem. 2018, 14, 2861–2871, doi:10.3762/bjoc.14.265

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  • and challenges and opportunities in this emerging field are shown from simple small-molecule transformations over ring-opening metathesis polymerizations to in vivo olefin metathesis. Keywords: artificial metalloprotein; β-barrel protein; metathease; olefin metathesis; ruthenium; Introduction Olefin
  • , and Ru [1]. Initially, these complexes were considered to be sensitive towards air and moisture. Nevertheless, adding Ru, Os and Ir salts to an aqueous solution or emulsion of a norbornene derivative led to ring-opening metathesis polymerization to give the corresponding polymer [5][6]. Through
  • catalyst and carbohydrate or small polyethylene glycol (PEG) groups were attached [11]. As another strategy to modify a protein surface with olefin metathesis, Isarov and Pokorski introduced a Grubbs 3rd generation catalyst on the surface of lysozyme and performed ring-opening metathesis polymerization
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Published 19 Nov 2018

Synthesis of unnatural α-amino esters using ethyl nitroacetate and condensation or cycloaddition reactions

  • Glwadys Gagnot,
  • Vincent Hervin,
  • Eloi P. Coutant,
  • Sarah Desmons,
  • Racha Baatallah,
  • Victor Monnot and
  • Yves L. Janin

Beilstein J. Org. Chem. 2018, 14, 2846–2852, doi:10.3762/bjoc.14.263

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  • NMR analysis of the crude reaction mixture. Indeed, a slow ring-opening reaction took place upon standing in solution to mainly give the isoxazole isomer 28 along with much less of the target oxazole-bearing α-hydroximino ester 29. Extensive trials to alter the selectivity of the ring opening using
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Published 15 Nov 2018

Copolymerization of epoxides with cyclic anhydrides catalyzed by dinuclear cobalt complexes

  • Yo Hiranoi and
  • Koji Nakano

Beilstein J. Org. Chem. 2018, 14, 2779–2788, doi:10.3762/bjoc.14.255

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  • . However, there are some burdensome requisites, such as a precise stoichiometric balance between the carboxy and hydroxy groups and an efficient removal of small molecule byproducts, for the high conversion. Another conventional method for polyester synthesis is the chain-growth ring-opening polymerization
  • metal-catalyzed PO/PA copolymerization [41]. As there were no detectable signal for ether linkages in the 1H NMR spectra of the obtained copolymers, the resulting copolymers possess a completely alternating structure. The regioselectivity in the ring-opening of PO was estimated by analyzing the
  • stereochemistry of the copolymer prepared from enantiomerically pure (S)-PO. Because a ring opening at the methine carbon results in both a regioerror and the inversion of stereochemistry at the stereocenter, the enantiomeric excess (ee) of the repeating unit in the copolymer should reflect the regioregularity
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Published 05 Nov 2018
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  • investigated with the objective of constructing condensed polycyclic structures. This investigation demonstrated that the generally observed domino reaction course involving a ring-opening metathesis of the norbornene unit and a ring-closing enyne metathesis is influenced to a great extent by the nature of the
  • metathesis; natural products; polycarbocycles; Introduction The metathesis of norbornene derivatives having an alkene side-chain on the norbornene nucleus with Grubbs’ ruthenium catalysts has been extensively investigated. Generally the reaction proceeds through a domino process involving a ring opening of
  • ][28][29][30][31][32][33] for the synthesis of a variety of complex ring systems such as condensed, bridged and spirocycles difficult to obtain otherwise. On the contrary, the domino process involving a ring-opening metathesis (ROM) followed by a ring-closing enyne metathesis (RCEYM) [34][35][36][37
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Published 25 Oct 2018

Ring-opening metathesis of some strained bicyclic systems; stereocontrolled access to diolefinated saturated heterocycles with multiple stereogenic centers

  • Zsanett Benke,
  • Melinda Nonn,
  • Márton Kardos,
  • Santos Fustero and
  • Loránd Kiss

Beilstein J. Org. Chem. 2018, 14, 2698–2707, doi:10.3762/bjoc.14.247

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  • Orgánica, Facultad de Farmàcia, Universidad de Valencia, Av. Vicente Andrés Estellés, s/n 46100 Valencia, Spain 10.3762/bjoc.14.247 Abstract Ring-opening metathesis (ROM) of various unsaturated, constrained bicyclic ring systems has been investigated with the use of commercial ruthenium-based catalysts
  • stereocontrol, through the conservation of the configuration of the stereogenic centers of the starting compounds. Keywords: functionalization; heterocycles; metathesis; ring opening; stereogenic centers; Introduction Metathesis reactions, among them ring-opening metathesis (ROM), have received a great deal
  • important segment of organic and pharmaceutical chemistry. Therefore, selective syntheses with stereocontrol of such scaffolds [11][12], such as highly-functionalized olefinated derivatives [13], are of main importance and a major challenge in synthetic organic chemistry. Thus, ring-opening metathesis is a
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Published 24 Oct 2018

Assembly of fully substituted triazolochromenes via a novel multicomponent reaction or mechanochemical synthesis

  • Robby Vroemans,
  • Yenthel Verhaegen,
  • My Tran Thi Dieu and
  • Wim Dehaen

Beilstein J. Org. Chem. 2018, 14, 2689–2697, doi:10.3762/bjoc.14.246

Graphical Abstract
  • in function of the proximity of the stereocenter to the diastereotopic protons. Further proof was provided by characterization of side product 6 [44], which is formed during the reaction by oxidation and ring-opening of triazolochromene 5a (Scheme 1). All these observations confirm the expected
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Published 22 Oct 2018

Synthesis of cis-hydrindan-2,4-diones bearing an all-carbon quaternary center by a Danheiser annulation

  • Gisela V. Saborit,
  • Carlos Cativiela,
  • Ana I. Jiménez,
  • Josep Bonjoch and
  • Ben Bradshaw

Beilstein J. Org. Chem. 2018, 14, 2597–2601, doi:10.3762/bjoc.14.237

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  • -Michael reaction, removal of a tert-butoxycarbonyl ester, base-promoted ring opening and tosylamide benzylation, without significant detrimental effect on the overall yield (see Supporting Information File 1). With the key precursor 4 in hand, the stage was set to study the Danheiser annulation step
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Published 09 Oct 2018
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