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Visible-Light-Induced Annulative Acylative Difunctionalization of 1,6-Enynes for Accessing 1-Indanones
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作者 Lin Feng Zhang Yan +3 位作者 Wu Ming Liu Huiyan Hao Wen-Juan Jiang Bo 《有机化学》 北大核心 2025年第5期1729-1738,共10页
A new photocatalytic annulative acylative difunctionalization of 1,6-enynes is reported,enabling stereoselective access to acylated 1-indanones with cyclic quaternary centers in moderate to good yields.This photocatal... A new photocatalytic annulative acylative difunctionalization of 1,6-enynes is reported,enabling stereoselective access to acylated 1-indanones with cyclic quaternary centers in moderate to good yields.This photocatalysis enables two types of acylation of unsaturated hydrocarbons by adjusting the categories of acyl radical precursors.Aroyl chlorides as bifunctional reagents react with 1,6-enynes to realize annulative chloroacylation,while acyl oxime esters are used as acyl radical precursors,which undergo a three-component annulative alkoxyacylation by treatment with 1,6-enynes and alcohols.The current method demonstrates good functional group compatibility,a broad substrate scope and mild reaction conditions. 展开更多
关键词 photoredox catalysis annulative chloroacylation annulative alkoxyacylation 1 6-enynes
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Rhodium(III)-Catalyzed Annulative Coupling between Sulfoxonium Ylides and Diazo Compounds
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作者 Yang Fan Fan Xiaomeng +4 位作者 Yao Xuejing Mi Ruijie Yu Songjie Li Xingwei Xiao Jian 《有机化学》 北大核心 2025年第1期331-342,共12页
The Rh(III)-catalyzed C—H functionalization of sulfoxonium ylides and successively annulation with two classes of cyclic diazo compounds has been realized,affording structurally diverse fused-ring or spirocyclic comp... The Rh(III)-catalyzed C—H functionalization of sulfoxonium ylides and successively annulation with two classes of cyclic diazo compounds has been realized,affording structurally diverse fused-ring or spirocyclic compounds under redoxneutral conditions.The reaction proceeds via successive chelation-assisted C—H activation,carbene insertion,and intramolecular[3+3]/[4+1]annulation processes. 展开更多
关键词 rhodium catalysis sulfoxonium ylide C—H activation diazo compound ANNULATION
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Palladium-catalyzed annulative allylic alkylation for regioselective construction of indole-fused medium-sized cyclic etherS
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作者 Ling-Qi Chen Chi-Fan Zhu +4 位作者 Su Zhang Bao-Yang Liu Shu-Jjiang Tu Wen-Jjuan Hao Bo Jiang 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第12期155-158,共4页
A new palladium-catalyzed annulative allylic alkylation(AAA)reaction of 2-(indol-2-yl)phenols with dual allylic electrophiles such as isobutylene dicarbonate and butene dicarbonate is described,leading to the regiosel... A new palladium-catalyzed annulative allylic alkylation(AAA)reaction of 2-(indol-2-yl)phenols with dual allylic electrophiles such as isobutylene dicarbonate and butene dicarbonate is described,leading to the regioselective synthesis of tetracyclic medium-sized cyclic ethers possessing a bridged aryl-indole scaf-fold,namely,benzo[2,3]oxocino[4,5-b]indoles and benzo[2,3]oxepino[4,5-b]indoles,in good to excellent yields.This protocol demonstrates a broad substrate scope,good compatibility with substituents and high regioselectivity,providing a catalytic and flexible method for creating bridged aryl-indole skeletons. 展开更多
关键词 Palladium-catalysis annulative allylic alkylation [5+n]annulation Regioselectivity Medium-sized cyclic ethers
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Rh(Ⅲ)-Catalyzed annulative aldehydic C-H functionalization for accessing ring-fluorinated benzo[b]azepin-5-ones
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作者 Qiuyun Li Kelu Yan +4 位作者 Yannan Zhu Gang Qi Yining Wang Wen-Juan Hao Bo Jiang 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第6期371-375,共5页
A new Rh(Ⅲ)-catalyzed aldehydic C-H activation/[4+3]annulation cascade of N-sulfonyl-2-aminobenzaldehydes with gem-difluorocyclopropenes is reported for the first time,and used to produce a range of hitherto unreport... A new Rh(Ⅲ)-catalyzed aldehydic C-H activation/[4+3]annulation cascade of N-sulfonyl-2-aminobenzaldehydes with gem-difluorocyclopropenes is reported for the first time,and used to produce a range of hitherto unreported precedentedβ-monofluorinated benzo[b]azepin-5-ones with good yields and complete regioselectivity.This approach features a broad substrate scope,good functional group tolerance,and high regioselectivity,which may include Rh(Ⅲ)-catalyzed aldehydic C-H activation,tandem site-/regioselective insertion,defluorinated ring-scission,and 1,2-elimination. 展开更多
关键词 Rh(Ⅲ)catalysis Aldehydic C-H activation [4+3]annulation Benzo[b]azepin-5-ones Gem-difluorocyclopropenes
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Iridium-Catalyzed Synthesis of Indole Derivatives from N-Aryl-2-aminopyridines and Vinylene Carbonate
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作者 Liang Zhen Xu Weiyan +4 位作者 Chen Yi Qiu Huayu Zhao Yezhe Shen Jiabin Wang Min 《有机化学》 北大核心 2025年第6期2149-2156,共8页
Indoles and their derivatives are an important class of N-heterocycles.In this article,iridium-catalyzed annulation reactions of N-aryl-2-aminopyridines to synthesize indole derivatives are designed and developed,whic... Indoles and their derivatives are an important class of N-heterocycles.In this article,iridium-catalyzed annulation reactions of N-aryl-2-aminopyridines to synthesize indole derivatives are designed and developed,which utilize vinylene carbonate as a new C2 synthon.This protocol is expected to provide a facile and useful access to various indole derivatives. 展开更多
关键词 INDOLES iridium-catalyzed annulation reactions vinylene carbonate AMINOPYRIDINES
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Synthesis of Quinazoline through Ruthenium-Catalyzed Hydrogen Transfer/Annulation Reaction between 2-Nitrobenzyl Alcohol and Benzylamine
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作者 Zhao Ling Zhu Xiaohui +5 位作者 Chen Hua Zheng Xueli Xue Weichao Xu Jiaqi Fu Haiyan Li Ruixiang 《有机化学》 北大核心 2025年第8期2836-2847,共12页
A novel method for synthesis of quinazoline through the hydrogen transfer/annulation reaction using 2-nitrobenzyl alcohol and benzylamine as starting materials is presented.The reaction is catalyzed by a ruthenium(II)... A novel method for synthesis of quinazoline through the hydrogen transfer/annulation reaction using 2-nitrobenzyl alcohol and benzylamine as starting materials is presented.The reaction is catalyzed by a ruthenium(II)complex bearing a N-heterocyclic carbene nitrogen phosphine(CNP)ligand.The pronouncedα-donating capacity of the carbene within the CNP ligand of the catalyst plays a crucial role in stabilizing the catalytically active species.Additionally,the hemilability of the nitrogen facilitates the creation of coordination vacancies,which are essential for the activation of reaction substrate molecules.The synergistic interplay between these two functionalities markedly enhances catalytic efficiency.This catalytic system shows the significant catalytic activity and selectivity,along with a broad substrate adaptability.All substrates yield the target product in good to excellent yields with the maximum yield reaching 95%.Control experiments have substantiated that benzaldehyde and phenylmethanimine may serve as intermediates in the reaction,thereby reinforcing the role of benzylamine as both a hydrogen donor and a nitrogen source in the process. 展开更多
关键词 hydrogen transfer/annulation reaction ruthenium complex QUINAZOLINE
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DABCO-catalyzed [3+4] annulations of Schiff bases with α-substituted allenes: Construction of functionalized benzazepine derivatives
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作者 Ke Wu Xiuqin Ruan +2 位作者 Shuolei Jia Enyuan Wang Qingfa Zhou 《Chinese Chemical Letters》 2025年第7期397-401,共5页
A[3+4]annulation of α-substituted allenes and Schiff bases is reported.This methodology serves as a conduit for the construction of a series of biologically important benzazepine derivatives in good to excellent yiel... A[3+4]annulation of α-substituted allenes and Schiff bases is reported.This methodology serves as a conduit for the construction of a series of biologically important benzazepine derivatives in good to excellent yields under mild conditions by an unprecedented mode involving β’-carbon of α-substituted allenes and the proposed mechanism is supported by capturing the intermediate.Moreover,this class of benzazepine derivatives exhibited potential ability of cytotoxicity toward cancer cells. 展开更多
关键词 DABCO Tertiary amine ALLENE BENZAZEPINE Schiff base ANNULATION Cytotoxicity
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A novel N-stable Co_(2)P nano-catalyst for the synthesis of quinoxalines by annulation of alkynes and 1,2-diaminobenzenes
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作者 Xiaochun Liu Gaoyan Chen +6 位作者 Xiaodong Yue Chaoyue Wang Xue-Xin Zhang Xuecheng Ran Yingxiao Zong junke Wang Xicun Wang 《Chinese Chemical Letters》 2025年第8期290-295,共6页
Designing efficient,recyclable,and low-cost catalysts is crucial for the synthesis of quinoxaline derivatives.In this context,a novel N-stable Co_(2)P nano-catalyst(CoP@N–C-1.5)was developed using a templatesacrifici... Designing efficient,recyclable,and low-cost catalysts is crucial for the synthesis of quinoxaline derivatives.In this context,a novel N-stable Co_(2)P nano-catalyst(CoP@N–C-1.5)was developed using a templatesacrificial approach.The catalyst demonstrated a broad substrate scope and good functional group tolerance,achieving yields of up to 84%.Additionally,the catalyst exhibited reusability and can be recycled up to three times.The CoP@N–C-1.5 was characterized using X-ray powder diffraction(XRD),scanning electron microscopy(SEM),and transmission electron microscopy(TEM).The results indicated that the catalyst contained Co2P nanoparticles.The X-ray photoelectron spectroscopy(XPS)further confirms the presence of Co-P.Analysis of the characterization data and experimental results revealed that the active site of the catalyst comprises N-stable Co_(2)P nanoparticles. 展开更多
关键词 ANNULATIONS NANO-CATALYST QUINOXALINE Nanomaterials Heterogeneous
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An update on the advances in chromone and the derivatives synthesis based on the key chromone annulation of o-hydroxyaryl enaminones
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作者 Liu-Liang Mao Yunyun Liu Jie-Ping Wan 《Chinese Chemical Letters》 2025年第7期85-102,共18页
Chromones serve as versatile heterocyclic scaffolds and are common core structural units in a variety of natural products and bioactive organic molecules.This area of research,at the forefront of organic synthesis,has... Chromones serve as versatile heterocyclic scaffolds and are common core structural units in a variety of natural products and bioactive organic molecules.This area of research,at the forefront of organic synthesis,has seen remarkable progress in recent years.Among the various synthetic methodologies for accessing chromone scaffolds,the tandem annulation of o-hydroxyaryl enaminones has emerged as a robust and practical strategy.This approach,through direct vinyl C-H bond functionalization of o-hydroxyaryl enaminones,enables the construction of structurally diverse chromones(including 3-substituted chromones,2-substituted chromones,and 2,3-disubstituted chromones)and their derivatives since mid-2019.In this review,we highlight recent advances in the synthesis of various types of chromones and their derivatives,achieved through tandem direct vinyl C-H activation and chromone annulation of o-hydroxyaryl enaminones. 展开更多
关键词 o-Hydroxyaryl enaminone CHROMONE Structurally diversity ANNULATION Advances
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Accessing polyarene-fused ten-membered lactams via oxidative N-heterocyclic carbene(NHC)-catalyzed high-order[7+3]annulation
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作者 Chen-Chang Cui Shao-Qing Shi +4 位作者 Lu-Yao Wang Feng Lin Man-Su Tu Wen-Juan Hao Bo Jiang 《Chinese Chemical Letters》 2025年第6期479-483,共5页
A new oxidative N-heterocyclic carbene(NHC)-catalyzed high-order[7+3]annulation reaction ofγ-indolyl phenols as 1,7-dinucleophiles andα,β-alkynals with the aid of Sc(OTf)_(3)is reported,enabling the highly regiosel... A new oxidative N-heterocyclic carbene(NHC)-catalyzed high-order[7+3]annulation reaction ofγ-indolyl phenols as 1,7-dinucleophiles andα,β-alkynals with the aid of Sc(OTf)_(3)is reported,enabling the highly regioselective access to unprecedented polyarene-fused ten-membered lactams bearing a bridged aryl-aryl-indole scaffold in moderate to good yields.This protocol demonstrates a broad substrate scope,good compatibility with substituents and complete regioselectivity,providing an organocatalytic modular synthetic strategy for creating medium-sized lactams. 展开更多
关键词 NHC-catalysis High-order annulation Regioselectivity Medium-sized lactams γ-Indolyl phenols
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Recent advances in phosphine-mediated sequential annulations
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作者 Xuling Pan Wei Cai You Huang 《Chinese Chemical Letters》 2025年第5期32-51,共20页
Polycyclic compounds are widely found in natural products and drug molecules with important biological activities,which attracted the attention of many chemists.Phosphine-catalyzed nucleophilic addition is one of the ... Polycyclic compounds are widely found in natural products and drug molecules with important biological activities,which attracted the attention of many chemists.Phosphine-catalyzed nucleophilic addition is one of the most powerful tools for the construction of various cyclic compounds with the advantages of atom economy,mild reaction conditions and simplicity of operation.Allenolates,Morita−Baylis−Hillman(MBH)alcohols and their derivatives(MBHADs),electron-deficient olefins and alkynes are very efficient substrates in phosphine mediated annulations,which formed many phosphonium species such asβ-phosphonium enolates,β-phosphonium dienolates and vinyl phosphonium ylides as intermediates.This review describes the reactivities of these phosphonium zwitterions and summarizes the synthesis of polycycle compounds through phosphine-mediated intramolecular and intermolecular sequential annulations.Thus,a systematic summary of the research process based on the phosphine-mediated sequential annulations of allenolates,MBH alcohols and MBHADs,electron-deficient olefins and alkynes are presented in Chapters 2-6,respectively. 展开更多
关键词 Phosphine catalysis Sequential annulations Polycyclic compounds Synthetic methods
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Rhodium(Ⅲ)-catalyzed [3+2] annulative coupling between oximes and electron-deficient alkynes
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作者 Xukai Zhou Songjie Yu +1 位作者 Zisong Qi Xingwei Li 《Science China Chemistry》 SCIE EI CAS CSCD 2015年第8期1297-1301,共5页
Rhodium(III)-catalyzed coupling between ketoximes and alkynes via C–H activation and annulation typically followed the[4+2]selectivity to afford isoquinolines.By designing alkynes bearing a highly electron-withdrawin... Rhodium(III)-catalyzed coupling between ketoximes and alkynes via C–H activation and annulation typically followed the[4+2]selectivity to afford isoquinolines.By designing alkynes bearing a highly electron-withdrawing group and under substrate control,we have successfully switched the selectivity of the coupling between oximes and alkynes to the alternative[3+2]annulation,leading to the efficient synthesis of indenamines.This process features good regioselectivity for both substrates,high efficiency,broad substrate scope,and excellent functional group tolerance. 展开更多
关键词 rhodium(III) C-H activation ANNULATION OXIME ALKYNE
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Palladium-catalyzed stereoselective decarboxylative[4+2]cyclization of 2-methylidenetrimethylene carbonates with pyrrolidone-derived enones:Straightforward access to chiral tetrahydropyran-fused spiro-pyrrolidine-2,3-diones
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作者 Ke Zhang Sheng Zuo +2 位作者 Pengyuan You Tong Ru Fen-Er Chen 《Chinese Chemical Letters》 SCIE CAS CSCD 2024年第6期279-282,共4页
A novel asymmetric[4+2]cycloaddition of 2-methylidenetrimethylene carbonate with pyrrolidonederived enones has been achieved to produce the functionalized tetrahydropyran-fused spirocyclic scaffolds via palladium-cata... A novel asymmetric[4+2]cycloaddition of 2-methylidenetrimethylene carbonate with pyrrolidonederived enones has been achieved to produce the functionalized tetrahydropyran-fused spirocyclic scaffolds via palladium-catalysis.An array of enantioenriched spiro-pyrrolidine-2,3-diones bearing adjacent quaternary and tertiary stereocenters are obtained in high yields with excellent enantioselectivities(up to 96% yield and 99% ee).The further transformation of the product has been accomplished for the construction of medical interesting β^(2,2)-amino acids and β-lactams.Preliminary mechanistic research was well conducted. 展开更多
关键词 Pyrrolidine-2 3-diones 2-Methylidenetrimethylene carbonate Asymmetric annulation Spiroheterocycles Allylic 1 3-strain
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Rh(Ⅲ)-Catalyzed sequential ring-retentive/-opening [4+2]annulations of 2H-imidazoles towards full-color emissive imidazo[5,1-a]isoquinolinium salts and AIE-active non-symmetric 1,1-biisoquinolines
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作者 Peiyan Zhu Yanyan Yang +2 位作者 Hui Li Jinhua Wang Shiqing Li 《Chinese Chemical Letters》 SCIE CAS CSCD 2024年第10期213-217,共5页
Rhodium-catalyzed C4aryl-H activation and ring-retentive annulation of 2H-imidazoles with internal alkynes to build imidazo[5,1-a]isoquinolinium salts with high yields and broad scope has been disclosed.These novel sa... Rhodium-catalyzed C4aryl-H activation and ring-retentive annulation of 2H-imidazoles with internal alkynes to build imidazo[5,1-a]isoquinolinium salts with high yields and broad scope has been disclosed.These novel salts serve as new full-color emissive fluorophores(433-633 nm),just by simply modifying the substituents on C3 and C4 positions of isoquinoline ring.Furthermore,these salts can undergo ring-opening C5_(aryl)-H activation/annulation with a different alkyne to form non-symmetric and AIE-active1,1-biisoquinolines,where NH_(4)OAc plays an indispensable role that accounts for Hofmann elimination and imine formation,leading to an unprecedented imine dance:cyclic imine→N-alkenyl imine→NH imine.The15N labelling experiments indicate that the 2ndannulation includes two pathways:N-exchange(major)and N-retention(minor). 展开更多
关键词 C-Hactivation/annulation 2H-Imidazole Imidazo[5 1-a]isoquinolinium 1 1'-Biisoquinolines Full-color emission Ring-retentive/-opening
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Rh(Ⅲ)-Catalyzed Aminoalkylation of Alkenes with Diazo Compounds toward Functionalized Isoindolinones
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作者 Yuying Liu Zhanwei Fu +3 位作者 Chao Yang Mupeng Luo Shurong Ban Shouguo Wang 《有机化学》 CSCD 北大核心 2024年第11期3505-3517,共13页
A[Cp*RhCl_(2)]_(2)-catalyzed intramolecular annulation reaction via aminoalkylation of alkenes with diazo compounds has been developed to construct highly-functionalized isoindolinones.This approach exhibits step econ... A[Cp*RhCl_(2)]_(2)-catalyzed intramolecular annulation reaction via aminoalkylation of alkenes with diazo compounds has been developed to construct highly-functionalized isoindolinones.This approach exhibits step economy,mild reaction conditions,and good functional group tolerance,facilitating access to a wide range of highly-valuable functionalized isoindolinones with high level of yields(up to 99%yield). 展开更多
关键词 aminoalkylation reaction annulation reaction ISOINDOLINONE Rh(Ⅲ)-catalysis diazo compounds
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Palladium/Phosphine Complex Catalyzed[4+4]Annulations of Morita-Baylis-Hillman Carbonates and 1-Azadienes
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作者 Zhu Bo Yang Yang +2 位作者 Liu Qiyin Du Wei Chen Yingchun 《有机化学》 CSCD 北大核心 2024年第12期3761-3770,共10页
A[4+4]annulation reaction for the construction of medium-sized N-heterocycles is reported.This process involves the generation of all-carbon 1,4-dipoles containing aπ-allylpalladium complex from Morita-Baylis-Hillman... A[4+4]annulation reaction for the construction of medium-sized N-heterocycles is reported.This process involves the generation of all-carbon 1,4-dipoles containing aπ-allylpalladium complex from Morita-Baylis-Hillman(MBH)carbonates under the catalysis of Pd/Synphos,which then undergo Michael addition/N-allylic alkylation with 1-azadienes.A spectrum of eight-membered N-heterocycles featuring a trisubstituted exo-cyclic double bond is furnished efficiently with moderate to good E/Z selectivity and moderate atroposelectivity.In addition,moderate enantioselectivity can be realized by using a chiral ligand or with the assistant of a chiral quaternary ammonium salt. 展开更多
关键词 palladium/phosphine complex Morita-Baylis-Hillman carbonates all-carbon 1 4-dipoles [4+4]annulation eight-membered N-heterocycles
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当代数学和数学教育的若干趋势 被引量:1
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作者 张奠宙 《苏州科技学院学报(自然科学版)》 CAS 1995年第2期62-78,共17页
当代数学和数学教育的若干趋势张奠宙(华东师范大学数学系,上海200062)当代数学正在一日千里地向前发展。至于常常听说的所谓"第三次数学危机",那是哲学家们在故作惊人之语。数学并没有陷入危机,只不过面临某些困难而已。... 当代数学和数学教育的若干趋势张奠宙(华东师范大学数学系,上海200062)当代数学正在一日千里地向前发展。至于常常听说的所谓"第三次数学危机",那是哲学家们在故作惊人之语。数学并没有陷入危机,只不过面临某些困难而已。数学的自身调整能力,会使数学科学更... 展开更多
关键词 INNER PRODUCT left(ring)annulator self INJECTIVE ring.
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Selective arylation/annulation cascade reactions of 2-alkynylanilines with diaryliodonium salts
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作者 段英 杨艳良 +1 位作者 戴晓玉 李东密 《Chinese Journal of Catalysis》 SCIE EI CAS CSCD 北大核心 2016年第11期1837-1840,共4页
An efficient Cu catalyzed selective arylation/annulation cascade reaction of 2-alkynylanilines with diaryliodonium salts was developed.This reaction was selective to N-arylation instead of C-arylation,which provides a... An efficient Cu catalyzed selective arylation/annulation cascade reaction of 2-alkynylanilines with diaryliodonium salts was developed.This reaction was selective to N-arylation instead of C-arylation,which provides a simple synthetic method for N-aryl indoles. 展开更多
关键词 Selective arylation ANNULATION Diaryliodonium salt 2-Alkynylaniline N-Aryl indole Cascade reaction
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Recent advances of allenes in the first-row transition metals catalyzed C-H activation reactions 被引量:1
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作者 Xiang-Lei Han Peng-Peng Lin Qingjiang Li 《Chinese Chemical Letters》 SCIE CAS CSCD 2019年第8期1495-1502,共8页
Transition-metal-catalyzed C–H activation reaction has proven to be a powerful and efficient tool for the formation of diverse C-C and C–X bond and construction of functional complex molecules.From the viewpoint of ... Transition-metal-catalyzed C–H activation reaction has proven to be a powerful and efficient tool for the formation of diverse C-C and C–X bond and construction of functional complex molecules.From the viewpoint of sustainable chemistry,the first-row transition metals,such as Mn,Fe,Co,Ni and Cu,have been recognized as cheap,environmentally friendly and reactively effective catalysts for a number of C-H functionalization reactions.However,compared with the commonly used alkenes and alkynes in the first-row transition-metal-catalyzed C–H activations,considerable achievements have just been made by the use of structurally unique and reactively rich allenes as coupling partners in recent years.This review summarizes the recent progress of the first-row transition-metal-catalyzed C–H activations with allenes. 展开更多
关键词 ALLENE C-H FUNCTIONALIZATION First-row transition metal ANNULATION Regioselectivity
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Synthesis of 2-aminothiazoles via rhodium-catalyzed carbenoid insertion/annulation of sulfoxonium ylides with thioureas 被引量:1
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作者 Yuncan Chen Shan Lv +5 位作者 Ruizhi Lai Yingying Xu Xin Huang Jianglian Li Guanghui Lv Yong Wu 《Chinese Chemical Letters》 SCIE CAS CSCD 2021年第8期2555-2558,共4页
Sulfoxonium ylides as carbene precursors couple smoothly with thioureas in the presence of 5 mol% of rhodium(Ⅱ) acetate dimmer via carbenoid insertion to afford the corresponding 2-aminothiazoles with high chemoselec... Sulfoxonium ylides as carbene precursors couple smoothly with thioureas in the presence of 5 mol% of rhodium(Ⅱ) acetate dimmer via carbenoid insertion to afford the corresponding 2-aminothiazoles with high chemoselectivity,providing a facile and efficient approach to access a variety of 2-aminothiazole derivatives with good functional groups tolerance. 展开更多
关键词 2-Aminothiazoles Carbene Rhodium Sulfoxonium ylides ANNULATION
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