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1.
For a connected graph G we denote by d(G,k) the number of vertex pairs at distance k. The Hosoya polynomial of G is H(G,x) = ∑k≥0 d(G,k)xk. In this paper, analytical formulae for calculating the polynomials of armchair open‐ended nanotubes are given. Furthermore, the Wiener index, derived from the first derivative of the Hosoya polynomial in x = 1, and the hyper‐Wiener index, from one‐half of the second derivative of the Hosoya polynomial multiplied by x in x = 1, can be calculated. © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007  相似文献   

2.
The Hosoya polynomial of a chemical graph G is , where d G (u, v) denotes the distance between vertices u and v. In this paper, we obtain analytical expressions for Hosoya polynomials of TUC4C8(S) nanotubes. Accordingly, the Wiener index, obtained by Diudea et al. (MATCH Commun. Math. Comput. Chem. 50, 133–144, (2004)), and the hyper-Wiener index are derived. This work is supported by the Fundamental Research Fund for Physics and Mathematic of Lanzhou University (Grant No. LZULL200809).  相似文献   

3.
Similar to the well-known Wiener index, Eu et al. [Int. J. Quantum Chem. 106 (2006) 423–435] introduced three families of topological indices including Schultz index and modified Schultz index, called generalized Wiener indices, and gave the similar formulae of generalized Wiener indices of hexagonal chains. They also mentioned three families of graph polynomials in x, called generalized Hosoya polynomials in contrast to the (standard) Hosoya polynomial, such that their first derivatives at x = 1 are equal to generalized Wiener indices. In this note we gave explicit analytical expressions for generalized Hosoya polynomials of hexagonal chains.  相似文献   

4.
Optically active (4R,8RS)-dimethyldecanal, an analog of the aggregation pheromone of the flour beetles Tribolium confusum and T. Castaneum, and (4R)-methylnonan-1-ol, the sex pheromone of the yellow mealworm Tenebrio molitor L., are synthesized using ozonolytic transformation of (6R,10)-dimethyl-9-undecen-2-one to (6R)-methyl-9-hydroxynonan-2-one in the key step. The starting compound is available as enantiomerically enriched (ee ~50%) (S)-(+)-3,7-dimethyl-1,6-octadiene.  相似文献   

5.
郁兆莲  李森兰  陈庆华 《结构化学》2006,25(12):1497-1501
1INTRODUCTION Substitutedγ-butyrolactones are a group of impor-tant compounds containing unique carbon skeleton of butyrolactone which is widely present in many natural products and have received considerable interest because of their biological and medicinal properties[1~4].Therefore,much attention has been paid to the new asymmetric methods for synthesi-zing these interesting compounds[5~11].The prece-ding results led us to explore the possibility of using cyclohexylamine to convert5(…  相似文献   

6.
(+)-(1S,2S,5R)-8-联苯薄荷醇的合成   总被引:4,自引:0,他引:4  
以(R)-( )-pu legone为起始原料,经1,4-加成,还原两步反应合成了手性辅助试剂( )-(1S,2S,5R)-8-联苯薄荷醇及其差向异构体(-)-(1R,2S,5R)-8-联苯薄荷醇,总产率95%。其结构经1H NMR,13C NMR,IR,MS和X-射线衍射仪表征。  相似文献   

7.
李叶芝  郎美东 《合成化学》1997,5(3):284-286,283
(R)-N-乙酰四氢噻唑-2-硫酮-4-羧酸与醇反应,在SOCl2存在下得到乙酸酯及四氢噻唑-2-硫酮-4-羧酸酯;在碳酸钾存在下得到乙酸酯及四氢噻唑-2-硫酮-4-羧酸;在二环己基碳二亚胺(DCC)存在下得到缩水产物N-乙酰四氢噻唑-2-硫酮-4-羧酸酯。  相似文献   

8.
(XN)4R4簇合物的结构与化学键   总被引:1,自引:0,他引:1  
用密度泛函理论,在B3LYP/6-311G水平上,对(XN)4R4 (X=C,Si,Ge;R=H,CH3,NH2,OH)及合成的先驱化合物(XN)2R2进行几何构型、电子结构、振动频率和化学反应焓变等进行了研究.结果表明,(RCN)4比(CNR)4更稳定.所有簇合物的零点能EZP值,R=H时最小,R=CH3时最大,R配位原子依次为C、N和O时,EZP值逐渐减小.  相似文献   

9.
L-半胱氨酸盐酸盐与二硫化碳, 氢氧化钠在硝酸铅存在下进行成环反应得到(R)-四氢噻唑-2-硫酮-4-羧酸产率76% , 后者与 醇在硫酸铁水合物催化下反应得到(R)-四氢噻唑-2-硫酮-4-羧酸酯, 产率40~82% .  相似文献   

10.
合成了两种固态稀土丙氨酸配合物[Ho2(Ala)4(H2O)8]Cl6和[ErY(Ala)4(H2O)8](ClO4)6 (Ala为丙氨酸),用量热和热分析方法研究了这两种配合物的热力学性质.用全自动高精密绝热量热计测定了在78~377 K温区内的低温热容.对于[Ho2(Ala)4(H2O)8]Cl6,在214~255 K温区内发现一固-固相变,其相变温度为235.09 K.对于[ErY(Ala)4(H2O)8](ClO4)6,在99~121 K温区内也发现一固-固相变,其相变温度为115.78 K. [Ho2(Ala)4(H2O)8]Cl6固-固相变焓为3.02 kJ• mol-1,相变熵为12.83 J•K-1•mol-1; [ErY(Ala)4(H2O)8](ClO4)6 固-固相变焓为1.96 kJ•mol-1,相变熵为16.90 J•K-1•mol-1.同时,用TG技术在40~800 ℃温区研究了两配合物的热稳定性.由TG/DTG曲线分析可知, [Ho2(Ala)4(H2O)8]Cl6从80 ℃到479 ℃热分解分两步完成, [ErY(Ala)4(H2O)8](ClO4)6从120 ℃到430 ℃热分解分三步完成.  相似文献   

11.
(R)-N-酰基四氢噻唑-2-硫酮-4-羧酸在DCC存在下与胺的反应   总被引:1,自引:2,他引:1  
由N-乙酰四氢噻唑-2-硫酮-4-羧酸([α]20D-109.83°),及N-苯甲酰四氢噻唑-2-硫酮-4-羧酸([α]20D-112.22°),在N,N′-二环己基二亚胺(DCC)存在下分别与环己胺、苯胺反应得到光学活性产物(R)-N-乙酰四氢噻唑-2-硫酮-4-甲酰环己胺([α]17D-74.5°),及(R)-N-苯甲酰四氢噻唑-2-硫酮-4-甲酰苯胺([α]19D-7.04°)。用量子化学PM3方法研究了反应物和产物的电子结构。  相似文献   

12.
Three new chiral heterocalix [4] crowns containing aza thio atoms bearing two chiral sites provided by (R)‐cysteine ester were synthesized. All new compounds were characterized by 1H NMR, MS and elemental analysis.  相似文献   

13.
Abstract

An alternative and concise total synthesis of (3?R, 4S)-4-Hydroxylasiodiplodin has been reported from inexpensive and commercially available 6-heptenal and Orsellinic acid starting materials. The key steps involved in the synthesis are Wittig reaction, Sharpless epoxidation, Yamaguchi esterification and ring-closing metathesis (RCM).  相似文献   

14.
在 p H 8.5的 Na2 B4 O7- HCl介质及有氯化十六烷基吡啶 ( CPC)存在时 ,室温下铜 ( )与 5 - ( 4 -氯苯基偶氮 ) - 8-苯基磺酰氨基喹啉 ( CPBSQ)迅速反应 ,生成络合比为 1∶ 3的有色络合物。研究了反应的最佳条件 ,建立了一个测定 Cu( )的光度分析新方法。Cu( )的浓度在 0~ 1 4.0 μg/2 5 m L 范围内符合比耳定律 ,其摩尔吸光系数为 8.1 2× 1 0 4 L· mol- 1· cm- 1。方法用于面粉、茶叶及奶粉中铜的测定 ,其相对标准偏差为 0 .5 8%~ 1 .2 % ,标准加入回收率为 95 .5 %~ 1 0 4 .5 %。  相似文献   

15.
首次合成了5-(4-硝基苯偶氮)-8-(4-甲苯磺酰氨基)-喹啉,测量了其酸离解常数。在非离子型表面活性剂存在下,试剂与钴(Ⅱ)在pH9.0~11.2范围内形成配合物,ε_(645)=1.01×10~5L·mol~(-1)cm~(-1),在H_2o_2作用下,于λ_((?)m)/λ_((?)x)=420nm/345nm产生强荧光,建立了一个操作简便快速、灵敏度高、选择性好的荧光分析新方法,线性范围2~32ppb,检测极限0.1ngCo(Ⅱ)/ml,用以测量了维生素B_(12)及生物样品中的痕量钴(Ⅱ)。探讨了H_2O_2对荧光增敏的机理。  相似文献   

16.
17.
刘兵  果婷  张伟萍  史海健 《合成化学》2013,21(5):608-610
以S-(-)-α-苯乙胺为原料,经一锅法制得1-(1-苄基)-6-乙氧羰基-4-甲基-3,4-二氢哌啶(3),收率58.7%。以10%Pd/C为催化剂,3经催化氢化脱苄合成了4-甲基-2-哌啶甲酸乙酯(4),收率96%;4通过减压分馏得(2R,4S)-4,含量95%,其结构经1H NMR,IR和MS确证。  相似文献   

18.
5—(4—安替比啉偶氮)—8—氨基喹啉示波极谱法研究   总被引:1,自引:1,他引:0  
阮传民  王宅中 《分析化学》1991,19(12):1398-1401
  相似文献   

19.
(3S,4R)-Bengamide E(2) was synthesized starting from D-glucono-δ-lactone(3) and the key deoxygenation step from 13 to 15 was achieved by the application of NaBH3CN and ZnI2.Compared with natural bengamide E(1),the synthetic compound(35,4R)-bengamide E(2) was inactive against the cell growth of HUVEC and cancer cells.These data represent the significance of the stereochemistry at C-3 and C-4 of bengamides for structural recognition and binding with the target(s).  相似文献   

20.
用量子化学从头算方法,对Ti8C12(Td)进行了几何构型优化,结果表明,Ti3C12(Td)的化学动力学性质不稳定,化学性质活泼,在此基础上进行了其外接氢化物的性质研究,从理论上预测了Ti8C12H4(Td)和Ti8C12H8(Td)几何构型的稳定性和化学反应活性。由Ti8C12(Td)和Ti8C12H8(Td)稳定性分析得出:Ti8C12H4(Td)构型最稳定,而Ti8C12H8(Td)和Ti  相似文献   

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