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1.
Extended Hartree-Fock (EHF ) equations are developed for the general open-shell case using a modified pair-orthogonality-constrained variation (POCV ) method. The EHF energy is expressed in terms of corresponding orbitals that are required to remain orthogonal and paired for all arbitrary infinitesimal variations. The Euler equations for each set of orbitals are reduced to unique pseudosecular equations, the LCAO form of which may easily be derived. The Euler equations and the expressions obtained for the off-diagonal elements of the ?γδ (γ, δ = a or b) matrices for the closed-shell case are identical to those obtained by Mayer, who used the generalized Brillouin theorem method. However, the present method yields equations for both closed- and open-shell cases and for any spin state.  相似文献   

2.
In this article, the equilibrium structure, binding energy, and electronic structure for charged Mg coated CaHb (a = 6, b = 6; a = 14, b = 10; a = 22, b = 14; a = 24, b = 14; a = 54, b = 18) are investigated by using all electrons density‐functional calculations. The boundary effect for the adsorption property of H2 on charged MgCaHb complex is investigated by using several structures based on benzene ring molecules. A method for calculating the pathways for the synthesis of MgCaHbn+ is presented here, and also the kinetic stability of these charged hydrogen‐covered MgCaHbn+ complexes is also discussed. We find that the Mg doped complex with appropriate charge can enhance adsorption of hydrogen molecular. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012  相似文献   

3.
Metal-driven self-assembly is one of the most effective approaches to lucidly design a large range of discrete 2D and 3D coordination architectures/complexes. Palladium(II)-based self-assembled coordination architectures are usually prepared by using suitable metal components, in either a partially protected form (PdL′) or typical form (Pd; charges are not shown), and designed ligand components. The self-assembled molecules prepared by using a metal component and only one type of bi- or polydentate ligand (L) can be classified in the homoleptic series of complexes. On the other hand, the less explored heteroleptic series of complexes are obtained by using a metal component and at least two different types of non-chelating bi- or polydentate ligands (such as La and Lb). Methods that allow the controlled generation of single, discrete heteroleptic complexes are less understood. A survey of palladium(II)-based self-assembled coordination cages that are heteroleptic has been made. This review article illustrates a systematic collection of such architectures and credible justification of their formation, along with reported functional aspects of the complexes. The collected heteroleptic assemblies are classified here into three sections: 1) [(PdL′)m(La)x(Lb)y]-type complexes, in which the denticity of La and Lb is equal; 2) [(PdL′)m(La)x(Lb)y]-type complexes, in which the denticity of La and Lb is different; and 3) [Pdm(La)x(Lb)y]-type complexes, in which the denticity of La and Lb is equal. Representative examples of some important homoleptic architectures are also provided, wherever possible, to set a background for a better understanding of the related heteroleptic versions. The purpose of this review is to pave the way for the construction of several unique heteroleptic coordination assemblies that might exhibit emergent supramolecular functions.  相似文献   

4.
Abstract— The photoexcited triplet states of frozen solutions of tetraphenyl chlorin (TPC), magnesium tetraphenyl porphyrin (MgTPP) and whole cells of Chlamydomonas reinhardi have been studied by light modulation-EPR spectroscopy. The porphyrins were chosen to be studied as model compounds for chlorophyll molecules, From EPR spectra the zero field splitting parameters (ZFS) were calculated. For TPC, |D| = 0.0364 ± 0.0002 cm-1, |E| = 0.0063 ± 0.0002 cm-1. For MgTPP, |D| = 0.0310 ± 0.0002 cm-1. For chloroplasts, |D| = 0.0280 ± 0.0004 cm-1, |E| = 0.0032 ± 0.0004 cm-1. In all compounds studied, except MgTPP, electron spin polarization (ESP) was observed. From the analysis of the kinetic curves at each canonical orientation we evaluated the spin lattice relaxation rate W, the depopulation rate constants kp, and the ratio between the population rate constants, Ap, at zero magnetic field. For TPC in ethanol-toluene (5:1) kx= (0.70 ± 0.10) × 103 s-1, ky= (0.40 ± 0.07) × 103 s-1, kx= (0.24 ± 0.05) × 103 s-1; Ax:Ay:Az? 1.0:0.6:0.4; W= (2.60 ± 0.40) × 103 s-1. For MgTPP, only the total decay rate constant, kT, was calculated: (1.5 ± 0.2) × 10 s-1 in n-octane and (4.8 ± 0.8) × 10 s-1 in ethanol. The results for TPC and MgTPP are compared to those reported previously for chlorophyll. It is concluded that the dynamics of the photoexcited triplet state in chlorophylls are mainly governed by the chlorin macrocycle. From the EPR spectrum and ZFS parameters of chloroplasts, we propose that both chlorophyll a and chlorophyll b are the main constituents of the EPR spectrum. From the analysis of the kinetic curves we obtain separately the kinetic parameters for chlorophylls a and b, kax= (1.30 ± 0.20) × 103 s-1, kay;= (0.85 ± 0.15) × 103 s-1kax= (0.32 ± 0.05) × 103 s-1; Aax:Aay:Aaz? 1.0:0.7:0.2; Wa= (1.20 ± 0.20) × 103 s-1; kbx= (0.56 ± 0.09) × 103 s-1, kby= (0.30 ± 0.04) × 103 s-1, kbz= (0.06 ± 0.01) × 103 s-1; Abx:Aby:Abx? 1.0:0.6:0.1; Wb= (5.00 ± 0.80) × 103 s-1. These results are very close to those found separately for chlorophyll a and chlorophyll b oligomers in vitro.  相似文献   

5.
In the study of chemical kinetics, many integrated reaction rate equations have the form In [f(A) + a] = bt + c, where a, b, and c are constants and f(A) is some function of the concentration of a reactant (or product) which can be calculated from the data. The left-hand side of this equation cannot be graphed versus time if the constant a is unknown. However, it is shown that f(A2) varies linearly with f(A1) if A2 is the concentration of reactant measured at a constant time interval later than A1. The constants a and b can be determined from the linear graph. A number of specific examples are considered.  相似文献   

6.
On X-Ray Single Crystal Studies of Na2FeAlF7, Na2MIIGaF7 (MII = Ni, Zn), and Na2ZnFeF7 and the Structural Chemistry of Weberites At single crystals of the orthorhombic weberite Na2NiGaF7 (a = 716.1, b = 1021.6, c = 740.9 pm; Imma, Z = 4) and of the monoclinic variants (C2/c, Z = 16) Na2FeAlF7 (a = 1242.6, b = 727.8, c = 2420.6 pm, β = 99.99°), Na2ZnGaF7 (a = 1251.9, b = 730.3, c = 2435.3 pm, β = 99.74°) and Na2ZnFeF7 (a = 1261.0, b = 7.359, c = 2453.8 pm, β = 99.70°) complete X-ray structure determinations were performed. The results and the influence of radii on the bridge angles MII–F–MII and MII–F–MIII are discussed in connection with general features within the structural chemistry of 28 weberites.  相似文献   

7.
Rayleigh–Schrouml;dinger (RS ) perturbation expansions for the eigenvalues E(λ) of a hydrogen atom in the general polynomial perturbation V(r) = aλr + b>2r2, a, b > 0, are studied. When a2 = 2b, the ground state energy is exactly E(λ) = -(1/2) + (3/2)a>, i.e., the RS series is truncated. In the case a2 > 2b, the RS series is negative Stieltjes. In general, when λ < 0, a well of depth ω ≈ -a2/(4b2) (note the λ independence) is situated at rω = a/(2b|λ|). When a2 > 2b/N2, and interaction between this well and the hydrogenic state ψNLM(λ) is possible, thus creating a pair of asymptotically degenerate eigenstates separated by a “gap” δE(λ). The large order behavior of the RS coefficients E may be computed from the asymptotics of δE(λ), which is, in turn, related to the tunnelling integral. For excited states, stricter inequalities must be obeyed for Stieltjes behavior. The E(n)NLM may be calculated either numerically or in closed form via the “so(4, 2) Lie algebra technology” for such hydrogenic problems.  相似文献   

8.
It is demonstrated by means of collisionally activated decomposition (CAD) that [C3H5O]+ originating from metastable [C4H8O] ions are either acylium [C2H5CO]+ (a) or hydroxycarbenium [CH2CHCHOH]+ (b). Butanone gives exclusively a but 2-methyl-2-propen-1-ol, 2-buten-1-ol, 3-buten-1-ol, butanal and 2-methylpropanal lead to ion b. Both structures a and b are produced from 3-buten-2-ol. These results are discussed in conjunction with experimental and calculated (MINDO/3) thermodynamic data.  相似文献   

9.
Isotypic Borophosphates MII(C2H10N2)[B2P3O12(OH)] (MII = Mg, Mn, Fe, Ni, Cu, Zn): Compounds containing Tetrahedral Layers The isotypic compounds MII(C2H10N2) · [B2P3O12(OH)] (MII = Mg, Mn, Fe, Ni, Cu, Zn) were prepared under hydrothermal conditions (T = 170 °C) from mixtures of the metal chloride (chloride hydrate, resp.), Ethylenediamine, H3BO3 and H3PO4. The orthorhombic crystal structures (Pbca, No. 61, Z = 8) were determined by X‐ray single crystal methods (Mg(C2H10N2)[B2P3O12(OH)]: a = 936.81(2) pm, b = 1221.86(3) pm, c = 2089.28(5) pm) and Rietveld‐methods (MII = Mn: a = 931.91(4) pm, b = 1234.26(4) pm, c = 2129.75(7) pm, Fe: a = 935.1(3) pm, b = 1224.8(3) pm, c = 2088.0(6) pm, Ni: a = 939.99(3) pm, b = 1221.29(3) pm, c = 2074.05(7) pm, Cu: a = 941.38(3) pm, b = 1198.02(3) pm, c = 2110.01(6) pm, Zn: a = 935.06(2) pm, b = 1221.33(2) pm, c = 2094.39(4) pm), respectively. The anionic part of the structure contains tetrahedral layers, consisting of three‐ and nine‐membered rings. The MII‐ions are in a distorted octahedral or tetragonal‐bipyramidal [4 + 2] (copper) coordination formed by oxygen functions of the tetrahedral layers. The resulting three‐dimensional structure contains channels running along [010]. Protonated Ethylenediamine ions are fixed within the channels by hydrogen bonds.  相似文献   

10.
Intensities of a1ΔgX 3g? and b 1g+X 3g? transitions in molecular oxygen have been calculated on the basis of the INDO method taking into account spin-orbit coupling by perturbation theory. The transitions are magnetic dipole in nature. The first of them (a ? X) steals its intensity from 3Πg-3g? and 1Πg-1Δg transitions, which are determined by the orbital angular-momentum operator. This source is not the principal one for the intensity of the second (b-X) transition. Its intensity is stolen principally from microwave transitions between spin sublevels of the ground 3g? state. The last source explains the large difference in intensities of the a-X and b-X transitions. Calculated oscillator strengths are in a good agreement with experiment. The same integrals that determine the intensity also determine the parameters of the spin Hamiltonian for the ground 3g? state. These parameters are in a good agreement with experiment also, showing the validity of the whole calculation. In a condensed phase the investigated transitions are enhanced by intermolecular exchange interaction. It is known that an external heavy atom (EHA ) enhances the b-X transition of oxygen in solution, but does not influence the a-X transition. In the collision complex O2-EHA , which has a geometry without inversion symmetry, the microwave transitions between spin sublevels of the “3g?” state obtain electric-dipole moments, which are stolen from the charge-transfer transition. This mechanism explains the selective effect of EHA .  相似文献   

11.
The novel ternary polyphosphides M4P21I (M = K, Rb) have been synthesized from the elements in single crystalline form, representing further examples for the formation of mixed crystals between simple salts and binary phosphides. They form as ruby‐red platelets and dark‐red prisms, respectively, and are only slightly sensitive to moisture and oxygen. The compounds are isotypic (Ccmm (no 63); Z = 4; oP104; K4P21I: a = 12.853Å; b = 21.795Å; c = 9.748Å; 1168 hkl, R = 0.033; Rb4P21I: a = 13.281Å; b = 21.868Å; c = 9.771Å; 777 hkl, R = 0.053) and feature corrugated 2D networks formed from two different types of polymerized P7 units. The networks form large cavities filled by M+ and I ions. Zigzag chains of condensed trigonal M6 prisms, centered by the I anions, separate the polyphosphide nets. The mean homoatomic P‐P bond length (d = 2.216Å) corresponds to a P‐P single bond. However, the individual P‐P distances vary with position and function (2.126 ‐ 2.247Å) and these are compared with those of the isolated P21‐3 anion.  相似文献   

12.
Measurements of the thermal expansion coefficients (TECs) of chitin crystals in the lateral direction are reported. We investigated highly crystalline α chitin from the Paralithodes tendon and an anhydrous form of β chitin from a Lamellibrachia tube from room temperature to 250 °C, using X‐ray diffraction at selected temperatures in the heating process. For α chitin, the TECs of the a and b axes were αa = 6.0 × 10−5 °C−1 and αb = 5.7 × 10−5 °C−1, indicating an isotropic thermal expansion in the lateral direction. However, the anhydrous β chitin exhibited an anisotropic thermal expansion in the lateral direction. The TEC of the a axis was constant at αa = 4.0 × 10−5 °C−1, but the TEC of the b axis increased linearly from room temperature to 250 °C, with αb = 3.0–14.6 × 10−5 °C−1. These differences in the lateral thermal expansion behaviors of the α chitin and the anhydrous β chitin are due to their different intermolecular hydrogen bonding systems. © 2000 John Wiley & Sons, Inc. J Polym Sci B: Polym Phys 39: 168–174, 2001  相似文献   

13.
Two new iron(III) complexes and one iron(II) complex have been synthesized from the solvothermal reactions of FeCl3·6H2O with 3,5‐bis(pyridin‐2‐yl)‐1,2,4‐triazole (Hbpt) in methanol or acetonitrile. KSCN acted as the reducing agent in the synthesis of iron(II) complex of 3 . [FeCl3(Hbpt)(H2O)]·H2O ( 1 ) crystallizes in the triclinic space group with a = 7.475(1), b = 9.468(2), c = 12.309(2) Å, α = 73.880(2), β = 74.746(2), γ = 81.849(2)°, V = 805.2(2) Å3, Z = 2. [Fe2(bpt)2Cl4] ( 2 ): orthorhombic space group Pnnm with a = 9.895(2), b = 10.632(2), c = 13.195(2) Å, V = 1388.1(4) Å3, Z = 2. [Fe2(bpt)2(MeOH)2Cl2] ( 3 ): orthorhombic space group Pbca with a = 14.4204(16), b = 9.8737(11), c = 19.792(2) Å, V = 2818.1(5) Å3, Z = 4. 1 features the first structurally characterized metal complex of the neutral Hbpt ligand in which the Hbpt ligand adopts an unprecedented zwitterionic form. 2 shows a neutral dinuclear iron(III) complex and the [Fe2(bpt)2]4+ unit is ideally planar. The two iron(III) ions separated by a distance of 4.408(2) Å are doubly triazolate‐bridged. Each dimeric unit is connected with six other dimeric ones via the bifurcated C‐H···Cl hydrogen bonds, these connections extend the dimeric moieties into a three‐dimensional molecular architecture. 3 is a neutral centrosymmetric dinuclear FeII complex, in which intermolecular moderate O‐H···N hydrogen bonding interactions between the methanol molecules and 4‐position nitrogen atoms of the triazolato groups extend the dinuclear species into a two‐dimensional supramolecular architecture of (4,4) topology. Magnetic studies indicate there exists an antiferromagnetic spin coupling in FeIII2 and FeII2 units via the double triazolate bridges in 2 and 3 .  相似文献   

14.
Abstract

The synthesis of tertiary phosphine and phosphite substituted derivatives of M3(CO)12 {M = Ru(1a) Os(1b)} is discussed and the X-ray crystal and molecular structure of the tris-triphenylphosphine substituted ruthenium cluster Ru3(CO)9(PPh3)3 (2a) is reported. Complex 2a crystallises in the monoclinic space group P21/n with cell parameters a = 14.180(9), b = 21.644(14), c = 18.248(10) Å, β = 92.52(5)°, V = 5595(6) Å 3, Z = 4. The structure was solved by full-matrix least-squares methods based on F 2. The refinement converged at R1 = 0.0564, wR2 = 0.2125 for 4857 observed data [F > 4σ(F)].  相似文献   

15.
The compounds [TeI3][MI4] (M = Ga, In) were obtained as air sensitive black crystals by the reactions of Te, I2 and Ga or In in vacuum sealed ampoules. The gallium compound crystallizes in the structural type of [SCl3][AlCl4]: monoclinic system, space group Pc (No. 7), a = 7.211(11), b = 7.2340(9), c = 15.67(2) Å and β = 102.51(6)°. The indium derivative crystallizes in the orthorhombic space group Pna21 (No. 33), a = 14.752(2), b = 7.1915(6) and c = 23.391(5) Å, with two crystallographically independent formula units per asymmetric unit. The structures consist of tetrahedral GaI4 or InI4 and trigonal pyramidal TeI3+ units. Additionally, in both structures the tellurium atoms establish three weak interactions with iodine atoms of the MI4 units to form a distorted octahedral Te3 + 3 coordination sphere.  相似文献   

16.
Application of the SIMPLEX optimization method to define the mesh of the discretized version of the Griffin–Hill–Wheeler–Hartree–Fock (GHWHF ) equations was studied. Improved discretization parameters with respect to the original method were obtained for atomic systems with two or four electrons and for the H2 molecule. For the atomic systems, the following correlations between the discretization parameters and the total energy were found: N = a · In(ΔE) + b; Ω0 = a′ · In(ΔΩ) + a″; and In(ΔΩ) = b′ · ln(N) + b″. These equations provide a systematic procedure to reach a desired degree of accuracy in the energy for the atomic systems studied as well as to fix the basis set to be employed. These equations are similar to those found earlier for eventempered basis sets and permit the establishment of a relationship between the two methods. The even-tempered method is also an approximate solution of the GHWHF equations. The optimized integral discretized basis is more efficient in representing small basis sets for atoms and the basis for the hydrogen molecule in comparison to the even-tempered one. The optimization procedure was successfully applied to generate the universal basis for the atomic systems studied.  相似文献   

17.
Two new transition metal(II) complexes [M(hdpa)2(N(CN)2)2] (M = Mn ( 1 ), Co ( 2 ); hdpa = 2, 2'‐dipyridylamine) have been prepared and characterized structurally and magnetically. Both compounds crystallize in the monoclinic space group C2/c. 1 and 2 are isotypic with the unit cell parameters a = 8.634(9), b = 13.541(14), c = 21.99(2) Å, β = 94.806(18)°, and V = 2562(5) Å3 for 1 , a = 8.617(3) Å, b = 13.629(5)Å, c = 21.598(8)Å, β = 94.593(6)°, and V = 2528.4(15)Å3 for 2 , and Z = 4 for both. According to X‐ray crystallographic studies, each metal(II) ion was six‐coordinated with four nitrogen atoms from two bidentate hdpa ligand and two nitrogen atoms from two N(CN) anions to form slightly distorted octahedrons. Adjacent complex molecules are connected by hydrogen bonds or π···π interactions to form three‐dimensional network. The IR and UV spectroscopy were measured and the magnetic behaviors were investigated.  相似文献   

18.
ABSTRACT

The calculation of thermodynamic functions of condensed carbo- and phospha carbohydrates on the equation ΔΨo = i ± f (N - g), in which parameters i and f are the correlation coefficients, N is a general number of electrons in researched molecule, from which is subtracted a number (g) of lone electron pairs of heteroatoms, have been made. On the base of equations ΔaHo = Σ ΔatomHocond - ΔfHocond = ΣSb (Hb) and Ri2 = Σ{| ΔaHoexp – ΔaHocalc | gi}2, were firstly calculated the bond enthalpies of for condensed phosphatecarbohydrates: P = O 140.0, C-O-P 43.2, P-O-H 176.8, C-C(cycl) 77.8 kJ mol?1.  相似文献   

19.
N,N’-Diarylated tetrabenzotetraaza[8]circulenes 3 a and 3 b were synthesized in good yields by a reaction sequence involving oxidation of tetrabenzodiazadithia[8]circulene 5-Oct and SNAr reaction with aniline derivatives. The obtained aza[8]circulenes 3 a and 3 b were easily oxidized to give their radical cations 3 a+ and 3 b+ , which are highly stable under ambient conditions. X-ray diffraction analysis of radical cation 3 a+ showed a face-to-face dimer arrangement with an interplanar separation of 3.320 Å. The spin density of 3 a+ was calculated to be delocalized over the whole circulene π-systems with spin–spin exchange integral (J=−144 cm−1) in the dimeric part. These radical cations displayed far red-shifted absorption bands reaching to 2000 nm. Thus this study has proved the hetero[8]circulene scaffold to be a new entry of promising electronics and spin materials.  相似文献   

20.
The New Antimonides ZrNiSb and HfNiSb: Synthesis, Structure, and Properties in Comparison to ZrCoSb and HfCoSb The antimonides ZrNiSb and HfNiSb were prepared by arc-melting of stoichiometric mixtures of Zr, ZrSb2 and Ni, and Hf, HfSb2 and Ni, respectively. Unlike ZrCoSb and HfCoSb, which form the LiAlSi structure type, ZrNiSb and HfNiSb crystallize in the TiNiSi type. The lattice dimensions are a = 672.7(2) pm, b = 416.43(8) pm, c = 753.8(1) pm, V = 211.16(7) × 106 pm3 for ZrNiSb and a = 662.3(5) pm, b = 413.3(3) pm, c = 746.8(8) pm, V = 204.4(3) × 106 pm3 for HfNiSb (space group Pnma). Whereas no Zr–Zr contacts < 400 pm occur in the structure of ZrCoSb, Zr–Zr bonds are found in the structure of ZrNiSb. This difference is a consequence of the different numbers of valence electrons. The structural differences come along with a drastic change in the electronic structure and in the physical properties: ZrNiSb exhibits metallic behavior, in contrast to the not conducting ZrCoSb.  相似文献   

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