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Synthesis and Structure of A Novel Caged Bicyclic Phosphate Flame Retardant 被引量:28
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作者 Li, X Ou, YX +1 位作者 Zhang, YH Lian, DJ 《Chinese Chemical Letters》 SCIE CAS CSCD 2000年第10期887-890,共4页
PI novel caged bicyclic phosphate flame retardant tri(1-oxo-2,6,7-trioxa-1-phosphabicyclo [2.2.2] octane-methyl) phosphate (Trimer) was synthesized from 1-oxo-4-hydroxymethyl-2,6,7-trioxa-1-phosphabicyclo [2.2.2] octa... PI novel caged bicyclic phosphate flame retardant tri(1-oxo-2,6,7-trioxa-1-phosphabicyclo [2.2.2] octane-methyl) phosphate (Trimer) was synthesized from 1-oxo-4-hydroxymethyl-2,6,7-trioxa-1-phosphabicyclo [2.2.2] octane (PEPA) and phosphorus oxychloride in this paper. Its structure was characterized by elemental analysis. FTIR, H-1 NMR. P-31 NMR and X-ray diffraction analysis. 展开更多
关键词 caged bicyclic phosphate flame retardant crystal structure
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Evolution and organic geochemical significance of bicyclic sesquiterpanes in pyrolysis simulation experiments on immature organic-rich mudstone 被引量:3
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作者 Gang Yan Yao-Hui Xu +2 位作者 Yan Liu Peng-Hai Tang Wei-Bin Liu 《Petroleum Science》 SCIE CAS CSCD 2019年第3期502-512,共11页
Sesquiterpanes are ubiquitous components of crude oils and ancient sediments.Liquid saturated hydrocarbons from simulated pyrolysis experiments on immature organic-rich mudstone collected from the Lower Cretaceous Hes... Sesquiterpanes are ubiquitous components of crude oils and ancient sediments.Liquid saturated hydrocarbons from simulated pyrolysis experiments on immature organic-rich mudstone collected from the Lower Cretaceous Hesigewula Sag were analyzed by gas chromatography-mass spectrometry(GC-MS).C14 bicyclic sesquiterpanes,namely,8β(H)-drimane,8β(H)-homodrimane,and 8 a(H)-homodrimane were detected and identified on basis of their diagnostic fragment ions(m/z123,179,193,and 207),and previously published mass spectra data,and these bicyclic sesquiterpanes presented relatively regular characteristics in their thermal evolution.The ratios 8β(H)-drimane/8β(H)-homodrimane,8β(H)-homodrimane/8 a(H)-homodrimane,and 8β(H)-drimane/8 a(H)-homodrimane all show a clear upward trend with increasing temperature below the temperature turning point.Thus,all these ratios can be used as evolution indexes of source rocks in the immature-lowmaturity stage.However,the last two ratios may be more suitable than the first ratio as valid parameters for measuring the extent of thermal evolution of organic matter in the immature-low-maturity stage because their change amplitude with increasing temperature is more obvious. 展开更多
关键词 Immature-low-maturity stage Simulated PYROLYSIS experiment bicyclic sesquiterpanes Thermal EVOLUTION MATURITY indicators
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The atom-bond connectivity index of chemical bicyclic graphs 被引量:4
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作者 CHEN Jin-song GUO Xiao-feng 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第2期243-252,共10页
The atom-bond connectivity(ABC) index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes,which is defined as ABC(G) =∑ uv∈E(G) √d u+dv-2 dudv,... The atom-bond connectivity(ABC) index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes,which is defined as ABC(G) =∑ uv∈E(G) √d u+dv-2 dudv,where du denotes the degree of a vertex u in G.A chemical graph is a graph in which no vertex has degree greater than 4.In this paper,we obtain the sharp upper and lower bounds on ABC index of chemical bicyclic graphs. 展开更多
关键词 atom-bond connectivity index chemical bicyclic graph bound.
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Theoretical Studies on the Thermodynamic Properties and Detonation Performances of Bicyclic Nitramines:TNAD Isomers 被引量:3
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作者 QIU Ling XIAO He-Ming GONG Xue-Dong JU Xue-Hai 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 北大核心 2006年第11期1309-1320,共12页
Ab initio molecular orbital calculations have been performed at Hartree-Fock (HF), second-order Mrller-Plesset (MP2), and hybrid density functional theory (DFT) B3LYP levels with 6-31G^** basis set to investig... Ab initio molecular orbital calculations have been performed at Hartree-Fock (HF), second-order Mrller-Plesset (MP2), and hybrid density functional theory (DFT) B3LYP levels with 6-31G^** basis set to investigate the low sensitive explosive trans-1,4,5,8-tetranitro-1,4,5,8- tetraazadecalin (TNAD) and its seven bicyclic isomers. Their molecular geometries, electronic structures, thermodynamic properties, and detonation performances were predicted and compared. The relationships between structures and various properties were discussed in detail. The calculated results agree well with the available experimental data, and suggest that some compounds may be novel potential candidates of high energy density materials (HEDMs) with performances better than TNT (2,4,6-trinitrotoluene) and similar to RDX (1,3,5-trinitro-1,3,5-triazacyclohexane). 展开更多
关键词 bicyclic nitramine Hartree-Fock method MP2 method density functional theory thermodynamic properties detonation performances
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Synthesis of Caged Bicyclic Phosphate Derivatives 被引量:1
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作者 房晓敏 欧育湘 +3 位作者 罗锐斌 王勇 连旦军 李昕 《Journal of Beijing Institute of Technology》 EI CAS 2008年第1期122-126,共5页
Seven caged bicyclic phosphate compounds were synthesized by using 1-oxo-4-hydroxymethyl-2, 6, 7-trioxa-l-pho-sphabicyclo [ 2.2.2 ] octane (PEPA) as starting material. Within them were three PEPA derivatives contain... Seven caged bicyclic phosphate compounds were synthesized by using 1-oxo-4-hydroxymethyl-2, 6, 7-trioxa-l-pho-sphabicyclo [ 2.2.2 ] octane (PEPA) as starting material. Within them were three PEPA derivatives containing single caged bicyclic phosphate structure( 1a, 2a, 3a), another three PEPA deviratives containing two caged bicyclic phosphate structures(1b, 2b, 3b) and one devirative(1c) containing three caged bicyclic phosphate structures. Structures of the products were characterized by FTIR, ^1H NMR, elemental analysis and TG analysis. The reaction conditions were also discussed. Thermal analysis showed they had high thermal stability and excellent char-forming ability. Besides, these compounds had pentaerythritol bone and flame retardant dements of phosphorus, bromine or nitrogen simultaneously in their molecules, endowed them with good fire retardancy, and made them can be used as intumescent flame retardant. 展开更多
关键词 caged phosphate bicyclic phosphate intumescent flame retardant
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Three Novel Bicyclic Taxoids from the Needles of the Chinensis yew, Taxus chinensis var mairei 被引量:1
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作者 Qing Wen SHI Takayuki ORITANI +1 位作者 Takeyoshi SUGIYAMA Qian CHENG (Laboratory of Applied Bioorganic Chemistry, Division of Life Science.Graduate School of Agricultural Science. Tohoku University.1-1 Tsutsumidori-Amamiya Machi. Aoba-ku. Sendai 981-8555. Japan 《Chinese Chemical Letters》 SCIE CAS CSCD 1999年第6期481-484,共4页
Three novel bicyclic taxane diterpenoids with the rare 6/12-membered rings wereisolated from the need ies of Taxus chinensis var. mairei. The structures were established with the help of 1D and 2D NMR spectral analysis.
关键词 'Taxus chincnsis var mairei:Taxaceae taxoids bicyclic taxanes
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Source diagnostic and weathering indicators of oil spills utilizing bicyclic sesquiterpanes
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作者 WANG Chuanyuan HU Xiaoke +2 位作者 HE Shijie LIU Xin ZHAO Mingming 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2013年第8期79-84,共6页
Bicyclic Sesquiterpanes (BSs) are ubiquitous components of crude oils and ancient sediments. BSs in crude oils and diesel oil were identified and characterized, the effects of moderate weathering on BS distributions... Bicyclic Sesquiterpanes (BSs) are ubiquitous components of crude oils and ancient sediments. BSs in crude oils and diesel oil were identified and characterized, the effects of moderate weathering on BS distributions were discussed, and a methodology using diagnostic indices of BSs was developed for oil correlation and dif- ferentiation. The results showed that crude oils and oil products had different abundances and distributions of BSs and, consequently, resulted in different diagnostic ratios. The selected diagnostic ratio indices of BSs, such as BS4/BS5 (ratio of 4,4,8,9,9-pentamethyl-decahydronaphthalene to 8/3 (H)-drimane), BS6/BS5 (ratio of 4,4,9,9,10-pentamethyl-decahydronaphthalene to 8/3 (H)-drimane), BS8/BS9 (ratio of the second peak to the third peak of C16 sequiterpane), and BS8/BSIO (ratio of C16 sequiterpane to 8fl (H)-homodrimane), still maintained better stabilities (%RSD 〈 5%) after weathering for 30 d. The longer weathering process (150 d) had some effect on such ratios (5% 〈 %RSD 〈 10%). The facts of the uniqueness, abundance in petroleum, and chemical stability of BSs enable them to be suitable as an effective diagnostic means for identifying spilled oil with moderate weathering, particularly for lighter refined product samples that are difficult to identify by current techniques. 展开更多
关键词 bicyclic sesquiterpanes distribution diagnostic indices WEATHERING oil spill source identifica-tion
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PROMOTION EFFECT OF MELAMINE ON FLAME RETARDANCY OF EPOXY RESINS CONTAINING CAGED BICYCLIC PHOSPHATE
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作者 Jing-ping Hu Dao Li Yan Qin Xing-yi Wang 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2007年第6期581-588,共8页
Caged bicyclic phosphate (CBP) and its dimelamine salt (PDS) were synthesized and added to epoxy resins to obtain the flame retarded epoxy resin composites. The flammability of the composites was characterized by ... Caged bicyclic phosphate (CBP) and its dimelamine salt (PDS) were synthesized and added to epoxy resins to obtain the flame retarded epoxy resin composites. The flammability of the composites was characterized by the limiting oxygen index (LOI) and cone calorimeter tests. The LOI values of flame retarded composites increase consistently with the increase of flame retardant amounts, and they are almost the same when the loading of CBP is the same as that of PDS, although the phosphorus content of PDS is much lower than that of CBP. The total heat release increases in the order of CBP30/ER 〈 PDS30/ER 〈 PDS15/ER 〈 CBPI5/ER, whereas that of specific extinction area is CBP15/ER 〉 CBP30/ER 〉 PDS30/ER ≌ PDS15/ER. PDS exhibits more effective inhibition of oxidation of combustible gases. In the tests of thermogravimetric analyses (TG) and Fourier transform infrared spectroscopy (FT-IR), it is found that the degradation of the composites is influenced greatly by the addition of flame retardants. By scanning electron microscopy (SEM), a thick and tight char-layer is observed for PDS30/ER, resulting from the interaction of nitrogen species with phosphorus species. Therefore, the combination of CBP with melamine in the flame retarded system can improve the flame retardancy greatly. 展开更多
关键词 Flame retardancy Thermal degradation MELAMINE Caged bicyclic phosphate Epoxy resin.
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Study of Flame Retardation of Polycarbonate Modified by Polyhedral Oligomeric Silsesquioxane and Caged Bicyclic Phosphate
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作者 蒋云芸 杨荣杰 《Journal of Beijing Institute of Technology》 EI CAS 2010年第4期480-486,共7页
The flame-retarded polycarbonate(PC) has been made with octaphenyl polyhedral silsesquioxane(OPS) and/or caged bicyclic phosphate(Trimer).Thermal gravimetric analysis(TGA),Fourier-transform infrared(FTIR),TG... The flame-retarded polycarbonate(PC) has been made with octaphenyl polyhedral silsesquioxane(OPS) and/or caged bicyclic phosphate(Trimer).Thermal gravimetric analysis(TGA),Fourier-transform infrared(FTIR),TGA-FTIR,limiting oxygen index(LOI),and mechanical tests have been employed to characterize the modified PC.The additives of OPS and Trimer in PC have been proved to be effective flame-retardants because of the synergistic interaction between the elements of P and Si.The role of OPS and Trimer in PC degradation are different:OPS participates in the charring of PC,while Trimer makes PC degrade in advance.In addition,OPS and Trimer induced obvious differences in the mechanical properties of PC. 展开更多
关键词 POLYCARBONATE flame retardancy polyhedral oligomeric silsesquioxane caged bicyclic phosphate
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Chemoenzymatic Synthesis of an Enantiomerically Enriched Bicyclic Carbocycle Using <i>Candida parapsilosis</i>ATCC 7330 Mediated Enantioselective Hydrolysis
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作者 Thangavelu Saravanan Anju Chadha +2 位作者 Tarur Konikkaledom Dinesh Namasivayam Palani Sengottuvelan Balasubramanian 《International Journal of Organic Chemistry》 2015年第4期271-281,共11页
Enantiomerically enriched (R)-1-(2-bromocycloalkenyl)-3-buten-1-ol and its derivatives were obtained via enantioselective hydrolysis [resolution] with good enantioselectivities (E = 31 to >500) using Candida paraps... Enantiomerically enriched (R)-1-(2-bromocycloalkenyl)-3-buten-1-ol and its derivatives were obtained via enantioselective hydrolysis [resolution] with good enantioselectivities (E = 31 to >500) using Candida parapsilosis ATCC 7330. The various reaction parameters were optimized for enantioselective hydrolysis to achieve high enantiomeric excess (ee) and conversions. Among the substrates tested, (RS)-1-(2-bromocyclohex-1-en-1-yl) but-3-yn-1-yl acetate was hydrolysed by the biocatalyst in 12 h to the corresponding (R)-alcohol in 49% conversion and >99 ee. The optically pure allylic alcohol thus obtained was used as a chiral starting material for the synthesis of an enantiomerically enriched bicyclic alcohol effectively establishing achemoenzymatic route. 展开更多
关键词 CHEMOENZYMATIC Synthesis Enantioselective Hydrolysis Candida parapsilosis ATCC 7330 HYDROLASES bicyclic Carbocycle
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Facile Synthesis of Novel Chiral Bicyclic Thioureas and Their Crystal Structures
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作者 Ping An Wang Hui Fang Nie +1 位作者 Lin Jie Yan Sheng Yong Zhang 《International Journal of Organic Chemistry》 2012年第1期15-20,共6页
The novel well-defined chiral bicyclic thioureas based on enantiopure unsymmetric cis-2,5-disustituted pyrrolidine skeleton were firstly synthesized and fully characterized by their 1H NMR, 13C NMR and HRMS. Their abs... The novel well-defined chiral bicyclic thioureas based on enantiopure unsymmetric cis-2,5-disustituted pyrrolidine skeleton were firstly synthesized and fully characterized by their 1H NMR, 13C NMR and HRMS. Their absolute configurations were also determined by single-crystal X-ray analysis. 展开更多
关键词 CHIRAL bicyclic THIOUREA cis-2 5-Disubstituted PYRROLIDINE X-Ray Analysis
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Synthesis,Crystal Structure and Fluorescence of a Bicyclic Product Containing Chromene and Propargylamine Skeleton 被引量:1
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作者 庞韬 王慧 +3 位作者 吴雪 武琳 赵智勇 吴根华 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2016年第8期1277-1282,共6页
The bicyclic product containing a chromene skeleton and a propargylamine skeleton(C(22)H(22)N2O2) was synthesized from the double sites of terminal alkyne, piperazine derivative and formaldehyde via one-pot proc... The bicyclic product containing a chromene skeleton and a propargylamine skeleton(C(22)H(22)N2O2) was synthesized from the double sites of terminal alkyne, piperazine derivative and formaldehyde via one-pot procedure. Its structure was characterized by ^1H NMR, ^13C NMR, IR and H RMS, and further confirmed by single-crystal X-ray diffraction. It crystallizes in the monoclinic system, space group P21/n with a = 12.6571(14), b = 11.3249(12), c = 12.6571(14) A, β = 105.22°,V = 1750.6(3) A^3, Z = 4, R = 0.0568 and w R = 0.1444. The fluorescence of the product was discussed. 展开更多
关键词 crystallography fluorescence bicyclization chromene skeleton propargylamine skeleton
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The water-soluble bicyclic 2-pyridone-based fluorescent probe for fast and selective detection of hypochlorite
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作者 Qian Zhou Shanqiang Wang +6 位作者 Xiaoyun Ran Linzhi Shen Xiaolin Luo Gui Wang Hui Yang Zhouyu Wang Xiaoqi Yu 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第6期432-436,共5页
As a strong oxidizer,hypochlorite(Cl O^(-))are widely employed as bleaching agents and disinfectants.Determination of ClO^(-)is required to ensure bactericidal effects and avoid hazards caused by excessive residual ch... As a strong oxidizer,hypochlorite(Cl O^(-))are widely employed as bleaching agents and disinfectants.Determination of ClO^(-)is required to ensure bactericidal effects and avoid hazards caused by excessive residual chlorine.Herein,the derivative bicyclic 2-pyridone,namely DHIP-Py,was prepared successfully to establish a new ClO^(-)-quantitative method.The probe exhibits excellent Cl O^(-)selectivity over other ROS and anions/cations,high sensitivity(LOD=1.32μmol/L),fast response(<5 s),and wide-p H tolerance(pH4~10).Benefit from its good water solubility,DHIP-Py is well suited for water sample analysis and has been successfully applied to detect Cl O^(-)in real-world food and environmental samples,including tap water,bottled water and river water.The detection results were essentially identical to that of obtained from traditional DPD method.Moreover,visual detection of Cl O^(-)via filter paper-based solid sensor and imaging of ClO^(-)in Escherichia coli were also achieved by DHIP-Py.These satisfactory results demonstrate that this bicyclic 2-pyridone-based hypochlorite probe is a promising free chlorine chemosensor with great potential for analytical applications. 展开更多
关键词 Fluorescent probe HYPOCHLORITE bicyclic 2-pyridone Tap water BIOIMAGING
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Rhodium-catalyzed enantio-and diastereoselective carboamidation of bicyclic olefins toward construction of remote chiral centers and axis
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作者 Jinlei Wang Xingwei Li 《Science China Chemistry》 SCIE EI CAS CSCD 2023年第7期2046-2052,共7页
The precise control of multiple chiral elements through a single step catalytic process remains a significant challenge in asymmetric catalysis.Reported herein is rhodium-catalyzed three-component asymmetric carboamid... The precise control of multiple chiral elements through a single step catalytic process remains a significant challenge in asymmetric catalysis.Reported herein is rhodium-catalyzed three-component asymmetric carboamidation between aryl boronic acid,achiral strain-activated symmetric bicyclic olefins bearing a prochiral C-N or N-N axis,and dioxazolones.The reaction proceeded effectively in excellent enantio-and diastereoselectivity under mild conditions to produce the bicyclic framework with six contiguous chiral centers as well as a N-N or C-N chiral axis.The reaction featured excellent functional group tolerance,chemoselectivity,and stereoselectivity.Mechanistic studies indicated that the coupling system proceeded via initial transmetalation,followed by stereo-determining migratory insertion into the olefin and electrophilic amidation. 展开更多
关键词 carboamidation axial chirality DESYMMETRIZATION bicyclic olefin TRANSMETALATION
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Organocatalytic enantioselective construction of bicyclic γ-butrolactones
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作者 Qiang Zhang Jingxiang Pang +7 位作者 Tian-Zhang Wang Feng Chen Minghao Shen Tianyu Li Yongshuai Chai Yu-Feng Liang Jie Sun Zhushuang Bai 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第7期122-126,共5页
An enantioselective organo-catalyzed reaction of furanones with α,β-unsaturated ketones has been established herein, which provides an efficient access to chiral bicyclic γ-butyrolactones in good yields, enantiosel... An enantioselective organo-catalyzed reaction of furanones with α,β-unsaturated ketones has been established herein, which provides an efficient access to chiral bicyclic γ-butyrolactones in good yields, enantioselectivities and diastereoselectivities. Further transformations of product are demonstrated. A diamine mediated catalytic cycle is proposed. 展开更多
关键词 ORGANOCATALYST Asymmetric synthesis bicyclicγ-butyrolactone DIAMINE CYCLIZATION
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Current development of bicyclic peptides
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作者 Dazhi Feng Lihua Liu +5 位作者 Yuqi Shi Pian Du Shengtao Xu Zheying Zhu Jinyi Xu Hong Yao 《Chinese Chemical Letters》 SCIE CAS CSCD 2023年第6期130-143,共14页
Bicyclic peptides,a class of polypeptides with two loops within their structure,have emerged as powerful tools in the development of new peptide drugs.They have the potential to bind to challenged drug targets,with an... Bicyclic peptides,a class of polypeptides with two loops within their structure,have emerged as powerful tools in the development of new peptide drugs.They have the potential to bind to challenged drug targets,with antibody-like affinity and selectivity.Meanwhile,bicyclic peptides possess small molecule-like access to chemical synthesis,which is conducive to large-scale synthesis and screening.In the last five years,bicyclic peptide technology has been increasingly developed,and researchers have carried out a variety of studies to elucidate the potential functions of bicyclic peptides.With the continuous development of synthetic methods and the advances of new technology to build bicyclic peptide libraries,bicyclic peptides are now becoming widely used in the development of new drugs for various diseases.This perspective provides an overview of the structure types,synthesis and applications of bicyclic peptides in current drug development,and our own views on future challenges of bicyclic peptides. 展开更多
关键词 Peptide therapeutics bicyclic peptides Protein-protein interaction Peptides synthesis Peptide drugs
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Chiral Bicyclic Imidazole-Catalyzed Direct Enantioselective C-Acetylation of Indolones
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作者 Muxing Zhou Yashi Zou +2 位作者 Lu Zhang Zhenfeng Zhang Wanbin Zhang 《CCS Chemistry》 CAS CSCD 2023年第2期361-371,共11页
By adjusting the bond angle and stereocontrol substituent of the chiral bicyclic imidazole catalysts,direct enantioselective C-acetylation of indolones and their sequencial pattern have been successfully developed.Ind... By adjusting the bond angle and stereocontrol substituent of the chiral bicyclic imidazole catalysts,direct enantioselective C-acetylation of indolones and their sequencial pattern have been successfully developed.Indolones bearing a quaternary stereocenter were synthesized with satisfactory yields and excellent enantioselectivities(up to 97%ee).The reaction can be realized with 410 turnover numbers,and the products can be transformed into several functional compounds via simple derivations of the acetyl group. 展开更多
关键词 ORGANOCATALYSIS Lewis base enantioselective acylation bicyclic imidazole indolone
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The Laplacian spectral radii of unicyclic and bicyclic graphs with n vertices and k pendant vertices 被引量:6
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作者 GUO JiMing Department of Applied Mathematics,China University of Petroleum,Dongying 257061,China 《Science China Mathematics》 SCIE 2010年第8期2135-2142,共8页
In this paper,we determine graphs with the largest Laplacian spectral radius among the unicyclic and the bicyclic graphs on n vertices with k pendant vertices,respectively.
关键词 LAPLACIAN matrix LAPLACIAN spectral RADIUS unicyclic GRAPH bicyclic GRAPH
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New Insights on the Mechanism of Thermal Cleavage of Unsaturated Bicyclic Diaziridines: A DFT Study 被引量:3
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作者 Arshadi, S. Bekhradnia, A. R. +2 位作者 Ahmadi, S. Karami, A. R. Pourbeyram, S. 《Chinese Journal of Chemistry》 SCIE CAS CSCD 2011年第7期1347-1352,共6页
A DFT calculations are carried out at UB3LYP/6-311+ +G (3df, 2p) levels of theory to study electrocyclic thermal cleavage of four (R) derivatives of unsaturated bicyclic diaziridines, Ix-R, to produce correspond... A DFT calculations are carried out at UB3LYP/6-311+ +G (3df, 2p) levels of theory to study electrocyclic thermal cleavage of four (R) derivatives of unsaturated bicyclic diaziridines, Ix-R, to produce corresponding (Z) and (E) azomethine imides (2X-Z, 2X-E, 3X-Z and 3X-E), where X=H, Me, t-Bu and Ph. Cleavage of 1X-R series to form the most stable 3X-Z product, (path 2) is found the favored procedure because of delocalized negative charge on five atoms and lower steric effect in related transition state. According to IRC calculations in paths 1 and 2, C6--N1 bond is cleaved before the rate determinating step (transition state). The stability of unsaturated bicyclic diaziridines and their corresponding (Z) and (E) azomethine imides is in the following order in gas phase and chloroform, tetrahydrofuran, and acetone solvents: 3X-Z〈3X-F〈2X-Z 〈2X-E 〈 1X-R 〈 1X-S. 展开更多
关键词 unsaturated bicyclic diaziridines azomethine imides electrocyclic thermal cleavage conrotatory motion molecular modeling conformational analysis
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The Laplacian Spread of Bicyclic Graphs 被引量:3
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作者 Yi Zheng FAN Shuang Dong LI Ying Ying TAN 《Journal of Mathematical Research and Exposition》 CSCD 2010年第1期17-28,共12页
The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of the Laplacian matrix of the graph. In our recent work, we have determined the graphs... The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of the Laplacian matrix of the graph. In our recent work, we have determined the graphs with maximal Laplacian spreads among all trees of fixed order and among all unicyclic graphs of fixed order, respectively. In this paper, we continue the work on Laplacian spread of graphs, and prove that there exist exactly two bicyclic graphs with maximal Laplacian spread among all bicyclic graphs of fixed order, which are obtained from a star by adding two incident edges and by adding two nonincident edges between the pendant vertices of the star, respectively. 展开更多
关键词 bicyclic graph Laplacian matrix spread.
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