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1.
Summary Monoheptapolyhexes are polygonal systems with exactly one heptagon and otherwise hexagons. General formulations with emphasis on the C n H s formula, and the first enumerations of C n H s isomers are reported for these systems. Also a more general class of systems is treated in some detail, viz. P7(6), which consists of hexagons and/or heptagons. The maximum numbers of heptagons for given C n H s formulas are studied, and the possible C n H s formulas are specified.
Isomere von polycyclischen konjugierten Kohlenwasserstoffen mit 6- und 7-gliedrigen Ringen
Zusammenfassung Monoheptapolyhexe sind polygonale Systeme mit genau einem Siebeneck und ansonsten nur Sechsecken. Es wird der allgemeine Formelapparat mit Betonung auf C n H s und die Auswertung bezüglich der Anzahl von C n H s -Isomeren für diese Systeme berichtet. Ebenso wird über eine generellere Klasse von Systemen, nämlich P7(6) berichtet, die aus Sechsecken und/oder Siebenecken besteht. Die Maximalanzahl von Siebenecken für gegebene C n H s -Formeln wird untersucht und mögliche C n H s -Formeln werden angegeben.
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2.
The straightforward, multigram-scale synthesis of the partially saturated H6-fluoreno[n]helicenes (n=5 or 7) featuring a central, overcrowded alkene is described. The key cyclization step was based on an intramolecular McMurry reaction from the corresponding 1,5-diketones. Chiral stationary phase HPLC analysis and isomer separation indicate that each helicenic compound is constituted of three diastereoisomers at room temperature, i. e. the configurationally stable (R,R,P)/(S,S,M) pair of enantiomers and an apparently achiral compound resulting from the rapid interconversion between the (R,S,P) and (S,R,M) enantiomers. The partially saturated H6-fluoreno[n]helicenes are oxidatively aromatized to give an efficient access to the corresponding fluoreno[n]helicenes. The chiroptical properties (vibrational and electronic circular dichroism) of the chiral, enantiopure compounds have been measured and analyzed by quantum-chemical calculations, confirming their helicoidal nature.  相似文献   

3.
Helical shaped fused bis-phenothiazines 1 – 9 have been prepared and their red-ox behaviour quantitatively studied. Helicene radical cations (Hel.+) can be obtained either by UV-irradiation in the presence of PhCl or by chemical oxidation. The latter process is extremely sensitive to the presence of acids in the medium with molecular oxygen becoming a good single electron transfer (SET) oxidant. The reaction of hydroxy substituted helicenes 5 – 9 with peroxyl radicals (ROO.) occurs with a ‘classical’ HAT process giving HelO. radicals with kinetics depending upon the substitution pattern of the aromatic rings. In the presence of acetic acid, a fast medium-promoted proton-coupled electron transfer (PCET) process takes place with formation of HelO. radicals possibly also via a helicene radical cation intermediate. Remarkably, also helicenes 1 – 4 , lacking phenoxyl groups, in the presence of acetic acid react with peroxyl radicals through a medium-promoted PCET mechanism with formation of the radical cations Hel.+. Along with the synthesis, EPR studies of radicals and radical cations, BDE of Hel-OH group (BDEOH), and kinetic constants (kinh) of the reactions with ROO. species of helicenes 1 – 9 have been measured and calculated to afford a complete rationalization of the redox behaviour of these appealing chiral compounds.  相似文献   

4.
A complete generation and enumeration of helicenes through fifteen hexagons was executed. The systems are classified according to neo (normal/essentially disconnected/non-Kekuléan), the color excess ( values), and the C n H s isomers. Furthermore, the soft and hard helicenes are distinguished. The method of combinatorial constructions (without use of computers) is demonstrated for some classes of helicenes with ten hexagons.  相似文献   

5.
Vertex induced subgraphs of directed de Bruijn graphs with labels of fixed length k and over α letter alphabet are (α,k)-labelled. DNA graphs are (4,k)-labelled graphs. Pendavingh et al. proved that it is NP-hard to determine the smallest value α k (D) for which a directed graph D can be (α k (D),k)-labelled for any fixed . In this paper, we obtain the following formulas: and for cycle C n and path P n . Accordingly, we show that both cycles and paths are DNA graphs. Next we prove that rooted trees and self-adjoint digraphs admit a (Δ,k)-labelling for some positive integer k and they are DNA graphs if and only if Δ ≤ 4, where Δ is the maximum number in all out-degrees and in-degrees of such digraphs.  相似文献   

6.
The kinetics of C6H5 reactions with n‐CnH2n+2 (n = 3, 4, 6, 8) have been studied by the pulsed laser photolysis/mass spectrometric method using C6H5COCH3 as the phenyl precursor at temperatures between 494 and 1051 K. The rate constants were determined by kinetic modeling of the absolute yields of C6H6 at each temperature. Another major product C6H5CH3 formed by the recombination of C6H5 and CH3 could also be quantitatively modeled using the known rate constant for the reaction. A weighted least‐squares analysis of the four sets of data gave k (C3H8) = (1.96 ± 0.15) × 1011 exp[?(1938 ± 56)/T], and k (n‐C4H10) = (2.65 ± 0.23) × 1011 exp[?(1950 ± 55)/T] k (n‐C6H14) = (4.56 ± 0.21) × 1011 exp[?(1735 ± 55)/T], and k (n?C8H18) = (4.31 ± 0.39) × 1011 exp[?(1415 ± 65)T] cm3 mol?1 s?1 for the temperature range studied. For the butane and hexane reactions, we have also applied the CRDS technique to extend our temperature range down to 297 K; the results obtained by the decay of C6H5 with CRDS agree fully with those determined by absolute product yield measurements with PLP/MS. Weighted least‐squares analyses of these two sets of data gave rise to k (n?C4H10) = (2.70 ± 0.15) × 1011 exp[?(1880 ± 127)/T] and k (n?C6H14) = (4.81 ± 0.30) × 1011 exp[?(1780 ± 133)/T] cm3 mol?1 s?1 for the temperature range 297‐‐1046 K. From the absolute rate constants for the two larger molecular reactions (C6H5 + n‐C6H14 and n‐C8H18), we derived the rate constant for H‐abstraction from a secondary C? H bond, ks?CH = (4.19 ± 0.24) × 1010 exp[?(1770 ± 48)/T] cm3 mol?1 s?1. © 2003 Wiley Periodicals, Inc. Int J Chem Kinet 36: 49–56, 2004  相似文献   

7.
Pulsed laser photolysis, time-resolved laser-induced fluorescence experiments have been carried out on the reactions of CN radicals with CH4, C2H6, C2H4, C3H6, and C2H2. They have yielded rate constants for these five reactions at temperatures between 295 and 700 K. The data for the reactions with methane and ethane have been combined with other recent results and fitted to modified Arrhenius expressions, k(T) = A′(298) (T/298)n exp(?θ/T), yielding: for CH4, A′(298) = 7.0 × 10?13 cm3 molecule?1 s?1, n = 2.3, and θ = ?16 K; and for C2H6, A′(298) = 5.6 × 10?12 cm3 molecule?1 s?1, n = 1.8, and θ = ?500 K. The rate constants for the reactions with C2H4, C3H6, and C2H2 all decrease monotonically with temperature and have been fitted to expressions of the form, k(T) = k(298) (T/298)n with k(298) = 2.5 × 10?10 cm3 molecule?1 s?1, n = ?0.24 for CN + C2H4; k(298) = 3.4 × 10?10 cm3 molecule?1 s?1, n = ?0.19 for CN + C3H6; and k(298) = 2.9 × 10?10 cm3 molecule?1 s?1, n = ?0.53 for CN + C2H2. These reactions almost certainly proceed via addition-elimination yielding an unsaturated cyanide and an H-atom. Our kinetic results for reactions of CN are compared with those for reactions of the same hydrocarbons with other simple free radical species. © John Wiley & Sons, Inc.  相似文献   

8.
On the bases of the topological structures of the three big classes of icosahedral fullerenes: (1) Cn(Ih, n=60h2; h=1, 2,…), (2) Cn(Ih, n=20h2; h=1, 2,…), and (3) Cn(I, n=20(h2+hk+k2), h>k; h, k=1, 2,…), we derived formulas for the decomposition of their nuclear motions into irreducible representations. Hence, we obtained the infrared and Raman active modes for all of the icosahedral (Ih and I) fullerenes theoretically. © 1998 John Wiley & Sons, Inc. Int J Quant Chem 66 : 113–117, 1998  相似文献   

9.
Denote by * n the set of all k *-cycle resonant hexagonal chains with n hexagons. For any B n * n , let m(B n ) and i(B n ) be the numbers of matchings (=the Hosoya index) and the number of independent sets (=the Merrifield–Simmons index) of B n , respectively. In this paper, we give a characterization of the k *-cycle resonant hexagonal chains, and show that for any B n * n , m(H n )m(B n ) and i(H n )i(B n ), where H n is the helicene chain. Moreover, equalities hold only if B n =H n .  相似文献   

10.
A laser flash photolysis–resonance fluorescence technique has been employed to study the kinetics of the reactions of atomic chlorine with acetone (CH3C(O)CH3; k1), 2‐butanone (C2H5C(O)CH3; k2), and 3‐pentanone (C2H5C(O)C2H5; k3) as a function of temperature (210–440 K) and pressure (30–300 Torr N2). No significant pressure dependence is observed for any of the reactions studied. Arrhenius expressions (units are 10?11 cm3 molecule?1 s?1) obtained from the data are k1(T) = (1.53 ± 0.19) exp[(?594 ± 33)/T], k2(T) = (2.77 ± 0.33) exp[(+76 ± 33)/T], and k3(T) = (5.66 ± 0.41) exp[(+87 ± 22)/T], where uncertainties are 2σ and represent precision only. The accuracy of reported rate coefficients is estimated to be ±15% over the entire range of pressure and temperature investigated. The room temperature rate coefficients reported in this study are in good agreement with a majority of literature values. However, the activation energies reported in this study are in poor agreement with the literature values, particularly for 2‐butanone and 3‐pentanone. Possible explanations for discrepancies in published kinetic parameters are proposed, and the potential role of Cl + ketone reactions in atmospheric chemistry is discussed. © 2008 Wiley Periodicals, Inc. Int J Chem Kinet 40: 259–267, 2008  相似文献   

11.
On analyzing the topological structures of the three types of tetrahedral fullerenes (which consist only of triangles and hexagons), (1) C n (T d ,n=12h 2; h=1,2,…), (2) C n (T d ,n=4h 2;h=1,2,…), and (3) C n (T,n=4(h 2+hk+k 2);h>k,h,k=1,2,…), we have obtained theoretically the Infrared and Raman active modes by means of the derived formulas for the decomposition of their nuclear motions into irreducible representations, and the 13C NMR spectra with natural abundance for 13C by using the distribution functions for all of the tetrahedral (T d and T) fullerenes, respectively. Received: 25 May 1998 / Accepted: 30 July 1998 / Published online: 23 November 1998  相似文献   

12.
Two generalized interpretations of the high-energy band (HEB ) within the photoelectron spectras (PES ) of alkanes, usually referred to as the C2s band, have been suggested. The quantum chemical one consists of attributing to the HEB of any alkane (CnH2n+2) the chain of n similiar orbitals ηk (k = 1…n), each of them containing mainly one 2sc AO and some contributions of another four orbitals from its nearest environment. The structure of each orbital ηk has been shown to be similar to that of the lowest totally symmetric MO of methane. The chemical interpretation of the same band involves relating it and the definite subspectrum of the full chemical graph of alkane, associated mainly with its C skeleton. The interrelation of these two complementary interpretations follows from the one-to-one correspondence between the orbitals ηk and the CH2(CH3) groups in alkane. © 1995 John Wiley & Sons, Inc.  相似文献   

13.
A number of polynuclear mixed carboxylates of nickel(II) with the general composition [Ni(OOCCH3)2–n (OOCR) n ] x (whereR=C13H27, C15H31, C17H35 and C21H43 andn=1 or 2) have been synthesized by the transacylation reactions of anhydrous nickel acetate with higher carboxylic acids in refluxing toluene. On recrystallization from benzene-alcohol mixtures, mono-alcoholate complexes, Ni(OOCCH3)2–n (OOCR) n ·ROH (whereR=CH3 and C2H5) have been isolated. All these derivatives have been characterized by the molecular weight determinations, infra-red and electronic reflectance spectra and magnetic susceptibility measurements.
Synthese und Eigenschaften einiger gemischter Carboxylat-Komplexe von Nickel(II)
Zusammenfassung Komplexe des Typs [Ni(OOCCH3)2–n (OOCR) n ] x (mitR=C13H27, C15H31, C17H35 und C21H43,n=1 oder 2) wurden aus wasserfreiem Nickelacetat mit höheren Carbonsäuren in siedendem Toluol erhalten. Bei der Kristallisation aus Benzol-Alkohol-Mischungen wurden Monoalkoholate Ni(OOCCH3)2–n (OOCR) n ·ROH (mitR=CH3 und C2H5) isoliert. Die Charakterisierung der Komplexe erfolgte mittels Molekulargewichtsbestimmung, Infrarot- und Elektronenspektren und der Messung der magnetischen Susceptibilität.
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14.
Zusammenfassung Die Synthese der Titelverbindungen3 (R 1=R 2=C2H5;n-C4H9) durch Reaktionen von N-(N,N-Diethylthiocarbamoyl)-benzimidoylchlorid (2) mit Natriumdialkyldithiocarbamaten (1) in Aceton wird beschrieben. Die niedrigen Ausbeuten (bis 25% d.Th.) sind durch Nebenreaktionen bedingt. Die Strukturen der Verbindungen werden durch IR-,1H-NMR-,13C-NMR-und Massenspektren bestätigt. Nebenreaktionen werden13C-NMR-spektroskopisch verfolgt und die Ergebnisse diskutiert.
S-(N-(thiocarbamoyl)benzimido)dithiocarbamic esters
Summary The synthesis of the title compounds3 (R 1=R 2=C2H5;n-C4H9) by reactions of N-(N,N-diethylthiocarbamoyl)benzimidechloride (2) with sodiumdialkyldithiocarbamates (1) in acetone is described. The low yields (<25%) are caused by the occurrence of side reactions. The structures of the compounds were confirmed by IR,1H and13C NMR, and mass spectroscopy. Side reactions were detected by13C NMR spectroscopy; the results are discussed.
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15.
Specific magnetic susceptibilities (s) of several newly synthesized chelates of some of the lanthanons [La(III), Pr(III) and Nd(III)] are reported. These derivatives are of the general type,Ln(O-i-C3H7)3–n (C6H5CHNRO) n [where,Ln=La(III), Pr(III) or Nd(III);n=1 or 2 and R=CH2CH2, CH2CHCH3 or C6H4] and have been prepared by the reaction of the alkoxides of the lanthanons withSchiff bases such as benzylidene-2-hydroxyethylamine (C6H5CHNCH2CH2OH), benzylidene-2-hydroxy-n-propylamine (C6H5CHNCH2CHOHCH3) and benzylidene-o-aminophenol (C6H5CHNC6H4OH) in different molar relations in dry benzene.The resulting crystalline derivatives are non-volatile, light to deep yellow or blackish in colour. These tend to polymerize on keeping as shown by their insoluble nature and higher melting points, the polymerisation possibly occurring by the intermolecular coordination through oxygen atoms as reported earlier1.UsingGouy method2, the bis-isopropoxy mono-Schiff base and mono-isopropoxy bis-Schiff base complexes of La(III) have been shown to be diamagnetic, with s values being in the range of –0.32 to –0.45×10–6 and –0.39 to –0.55×10–6 c.g.s. units at 305 K respectively.In the remaining derivatives, Pr(O-i-C3H7)3–n (C6H5CH NRO) n and Nd(O-i-C3H7)3–n (C6H5CHNRO) n (where,n=1 or 2 and R=CH2CH2, CH2CHCH3 or C6H4) the magnetic moment values range between 3.25 to 3.32 and 3.30 to 3.33 B respectively indicating their paramagnetic nature.  相似文献   

16.
The thermodynamic properties of styrenetricarbonylchromium, -methylstyrenetricarbonylchromium, and p-methylstyrenetricarbonylchromium were studied with adiabatic vacuum and dynamic calorimeters. The heat capacity in the range 5-450 K (error about 0.3% in most cases) and the temperatures and enthalpies of the phase transitions were determined. The experimental data were used to calculate the thermodynamic functions C 0 p(T), H 0(T) - H 0(0), S 0(T), and G 0(T) - H 0(0) for the range from 0 to 330-400 K, and also the isochoric heat capacity C v and its lattice (Cv,latt) and atomic (C v,at) contributions for the range from 0 K to T 0 m; the parameters = C 0 p/C v were evaluated. The thermodynamic properties were considered in relation to the composition and structure of the compounds.  相似文献   

17.
Reactions of the isopropoxides of some of the lighter lanthanons with bidentate -ketoimines, such asAAH-n-C4H9 andAAH-C6H5 (donor system: N,OH) and tridentate -ketoimines such asAA(CH2CH2)H2 andAA(CH2CHCH3)H2 (donor system: HO,N.OH) have led to products of the typesLn(O-i-C3H7)3n (AA-R) n ,Ln(Oi-C3H7) (AAR') andLn 2(AAR')3 [Ln=La(III), Pr(III) or Nd(III);n=1 or 2;R=-n-C4H9 or-C6H5 andR'=-CH2CH2-or-CH2CHCH3-]. Some undergo exchange reactions with an excess oftert-butanol, leading to the corresponding complexesLn(O-tert-C4H9)3n (AA-n-C4H9) n andLn(O-tert-C4H9) (AA-CH2CH2). All these have been characterised by elemental analysis, molecular weight determinations and their ir spectra. A thermogravimetric analysis of the diisopropoxy derivatives has also been carried out.
Schiff-Basen Derivate von Lanthaniden-Synthese von La(III), Pr(III) und Nd(III) chelaten mit -Ketoiminen
Zusammenfassung Reaktionen von Lanthanid-Isopropoxiden mit zweizähnigen -Ketoiminen [AAH-n-C4H9 undAAH-C6H5; Donorsystem: N,OH] und dreizähnigen -Ketoiminen [AA(CH2CH2)H2 undAA(CH2CHCH3)H2; Donorsystem: OH, N,OH] führten zu Produkten vom, TypLn(O-i-C3H7)3-n (AA-R) n ,Ln(O-i-C3H7) (AAR') undLn 2(AAR')3 [Ln=La(III), Pr(III) oder Nd(III);n=1 oder 2;R=n-C4H9 oder C6H5 undR'=CH2CH2 oder CH2CHCH3]. Einige Komplexe unterliegen bei Behandlung mit einem Überschuß vontert-Butanol einer Austauschreaktion, die zu den entsprechenden Butoxid-Komplexen führt [Ln(O-tert-C4H9)3-n , (AA-n-C4H9) n undLn(O-tert-C4H9) (AACH2CH2)]. Alle Derivate wurden mittels Elementaranalyse, Molgewichtsbestimmung und IR-Spektroskopie charakterisiert. Eine thermogravimetrische Analyse der Diisopropoxi-Derivate wurde ebenfalls ausgeführt.
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18.
The low-rank perturbation (LRP) method solves the perturbed eigenvalue equation (B +V) k = k (C +P) k , where the eigenvalues and the eigenstates of the related unperturbed eigenvalue equationB i = i C i are known. The method is designed for arbitraryn-by-n matricesB, V, C, andP, with the only restriction that the eigenstates i of the unperturbed equation should form a complete set. We consider here a real LRP problem where all matrices are Hermitian, and where in addition matricesC and (C +P) are positive definite. These conditions guarantee reality of the eigenvalues k and i . In the original formulation of the LRP method, each eigenvalue k is obtained iteratively, starting from some approximate eigenvalue k . If this approximate eigenvalue is not well chosen, the iteration may sometimes diverge. It is shown that in the case of a real LRP problem, this danger can be completely eliminated. If the rank of the generalized perturbation {V, P} is small with respect ton, then one can easily bracket and hence locate to any desirable accuracy the eigenvalues k (k = 1, ...,n) of the perturbed equation. The calculation of alln eigenvalues requiresO(2 n 2) operations. In addition, if the perturbation (V, P) is local with the localizabilityl p, then onlyO(2 n) operations are required for a derivation of a single eigenvalue.  相似文献   

19.
The reactions of benzimidazole (Bimz) with dichloro{2-(arylazo)pyridine}palladium(II), [Pd(aap)Cl2 (3), aap = RC6H4N= N-2-C5H4N; R = H(a), o-Me(b), m-Me(c), p-Me(d), p-Cl(e)] and dichloro{2-(arylazo)pyrimidine}palladium(II), [Pd(aapm)Cl2 (4), aapm = RC6H4N=N-2-C6H3N2; R = H(a), o-Me(b), m-Me(c), p-Me(d), p-Cl(e)] were followed separately. The kinetics were examined under pseudo-first order conditions with reference to Bimz in MeCN at 385 and 390 nm, respectively and at 298 K using a u.v.–vis. spectrophotometer. The product was isolated and characterised as trans-Pd(Bimz)2Cl2. The reaction between Pd(aap)Cl2 and Bimz follows the rate law, rate = K[Bimz]2[Pd(aap)Cl2], a single step process, whereas biphasic behaviour is observed for the reaction between Pd(aapm)Cl2 and Bimz; each step is first order with respect to the concentration of complex and to Bimz. The rate data support a nucleophilic association path and the rate decreases upon addition of Cl(LiCl). The aryl ring substituent of the arylazoheterocycle influences the substitution rate as follows: k(e) > k(a) > k(d) > k(c) > k(b). The k-values are linearly correlated with Hammett constants with usual deviations for the m-Me and o-Me substituents because of their steric crowding. The rate follows the order: k(aap) > k(aapm). This is unusual with reference to the -acidity order of the heterocycles, pyridine < pyrimidine, as the increased -acidity will enhance the nucleophilic association. The charge density calculation by MNDO method shows that in the pyrimidine ring of arylazopyrimidine, the peripheral m-N(uncoordinated) carries a high negative charge which may retard the nucleophilic association rate. This effect is absent in the pyridine ring of arylazopyridine and may be the reason for the faster single step nucleophilic substitution in Pd(aap)Cl2.  相似文献   

20.
Interesting varieties of heterobimetallic mixed-ligand complexes [Zr{M(OPri) n }2 (L)] (where M = Al, n = 4, L = OC6H4CH = NCH2CH2O (1); M = Nb, n = 6, L = OC6H4CH = NCH2CH2O (2); M = Al, n = 4, L = OC10H6CH = NCH2CH2O (3); M = Nb, n = 6, L = OC10H6CH = NCH2CH2O (4)), [Zr{Al(OPri)4}2Cl(OAr)] (where Ar = C6H3Me2-2,5 (5); Ar = C6H2Me-4-Bu2-2,6 (6), [Zr{Al(OPri)4}2(OAr)2] (where Ar = C6H3Me2-2,5 (7); Ar = C6H2Me-4-Bu2-2,6 (8), [Zr{Al(OPri)4}3(OAr)] (where Ar = C6H3Me2-2,5 (9); Ar = C6H3Me2-2,6 (10), [ZrAl(OPri)7-n (ON=CMe2) n ] (where n = 4 (11); n = 7 (12), [ZrAl2(OPri)10-n (ON=CMe2) n ] (where n = 4 (13); n = 6 (14); n = 10 (15) and [Zr{Al(OPri)4}2{ON=CMe(R)} n Cl2–n] [where n = 1, R = Me (16); n = 2, R = Me (17); n = 1, R = Et (18); n = 2, R = Et (19)] have been prepared either by the salt elimination method or by alkoxide-ligand exchange. All of these heterobimetallic complexes have been characterized by elemental analyses, molecular weight measurements, and spectroscopic (I.r., 1H-, and 27Al- n.m.r.) studies.  相似文献   

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