An exponential multireference wave-function Ansatz

An exponential multireference wave-function Ansatz is formulated. In accordance with the state universal coupled-cluster Ansatz of Jeziorski and Monkhorst [Phys. Rev. A 24, 1668 (1981)] the approach uses a reference specific cluster operator. In order to achieve state selectiveness the excitation- and reference-related amplitude indexing of the state universal Ansatz is replaced by an indexing which is based on excited determinants. There is no reference determinant playing a particular role. The approach is size consistent, coincides with traditional single-reference coupled cluster if applied to a single-reference, and converges to full configuration interaction with an increasing cluster operator excitation level. Initial applications on BeH2, CH2, Li2, and nH2 are reported.     

Universal state-selective corrections to multi-reference coupled-cluster theories with single and double excitations

The recently proposed universal state-selective (USS) corrections [K. Kowalski, J. Chem. Phys. 134, 194107 (2011)] to approximate multi-reference coupled-cluster (MRCC) energies can be commonly applied to any type of MRCC theory based on the Jeziorski-Monkhorst [B. Jeziorski and H. J. Monkhorst, Phys. Rev. A 24, 1668 (1981)] exponential ansatz. In this paper we report on the performance of a simple USS correction to the Brillouin-Wigner and Mukherjee's MRCC approaches employing single and double excitations (USS-BW-MRCCSD and USS-Mk-MRCCSD). It is shown that the USS-BW-MRCCSD correction, which employs the manifold of single and double excitations, can be related to a posteriori corrections utilized in routine BW-MRCCSD calculations. In several benchmark calculations we compare the USS-BW-MRCCSD and USS-Mk-MRCCSD results with the results obtained with the full configuration interaction method.     

Orbital invariance issue in multireference methods

The orbital invariance problem is analyzed from the tensor theory point of view, with an emphasis on multireference coupled cluster methods. Using the transformation properties of second‐quantized operators, we discuss the orbital invariance properties of various methods by examining the tensor properties of the residual equations. A simple self‐consistency‐checking algorithm is proposed. We first establish the orbital invariance properties for the Hartree–Fock, single reference configuration interaction, single reference coupled cluster, complete‐active‐space self‐consistent‐field, and multireference configuration interaction methods, and then discuss the invariance properties of the complete‐active‐space coupled cluster and CCSDt methods. Finally, we demonstrate theoretically the lack of orbital invariance for Jeziorski–Monkhorst ansatz based methods. It appears necessary to modify the ansatz to achieve orbital invariance, and internal contraction serves as one possible solution. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2010     

Connection between a few Jeziorski‐Monkhorst ansatz‐based methods

Different Jeziorski‐Monkhorst ansatz‐based methods are unified according to how to group terms to eliminate the redundancy problem. It is found that some seemingly different methods used to do MRCC are equivalent. It is argued that the various defining equations are not entirely proper, in the sense that the proper residual condition is not satisfied. This may partially rationalize the unsatisfactory performance of the various methods for single reference systems. In contrast, the MRexpT method satisfies the proper residual condition and it is expected that it will outperform other JM ansatz‐based methods in single‐reference cases. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009     

Hydrothermal Synthesis,Structure and Properties of a New Phosphomolybdate Based on Novel [Co(H2O)4(HP2Mo5O23)]8- Anions and [H8(H2O)16]8+ Water Cluster Cations

A pure inorganic [P₂Mo₅O₂₃]^6- based cobalt complex [H₈(H₂O)₁₆][Co(H₂O)₄(HP₂Mo₅O₂₃)₂] with a sandglass-like shape was synthesized and characterized by means of single-crystal X-ray diffraction, powder X-ray diffraction(PXRD), infrared spectroscopy(IR), thermogravimetry/differential scanning calorimetry(TG/DSC), ultraviolet-visible spectroscopy(UV-Vis) and cyclic voltammogram(CV). Single-crystal X-ray diffraction analysis reveals that the asymmetric unit of compound 1 consists of a half cobalt ion, one [P₂Mo₅O₂₃]^6- anion, two coordinated water molecules and eight lattice water molecules. It is especially intriguing to note that two [P₂Mo₅O₂₃]^6- clusters are symmetrical about the Co ion, like a sandglass. And a chair-like water cluster with an unprecedented centrosymmetric [H₈(H₂O)₁₆]⁸⁺ can be observed in compound 1. Additionally, the electrochemical and catalytic properties of compound 1 were also investigated.     

A coupled-cluster method for quasidegenerate states

A size-extensive, multireferences coupled-cluster method for studies of quasidegenerate states based on the Jeziorski–Monkhorst [16] ansatz for the cluster operator (Ω = ∑eP_j, where the sum is extended over the configurations spanning the model space), is presented and applied in pilot calculations. The method is referred to as multireference coupled electron-pair method (MR CEPM ), because it is assumed that the individual cluster operators can be approximated by their two-body parts, i.e., T_j ≈ T_j(2). The linear version of this method (MR L-CEPM ) is also discussed. Both methods are applied to two simple model systems: (1) a minimum basis set model involving eight hydrogen atoms in various spacial arrangements for which the degree of quasidegeneracy can be continuously varied; (2) a model involving the C_2ν insertion of Be into H₂. For the first time in multireference coupled-cluster calculations, the nonlinear parts of the equations are completely accounted for. The MR CEPM results are very encouraging for strongly quasidegenerate states. The MR L -CEPM results are slightly below the accurate (FCI ) values.     

New Supramolecular Networks Based on Paratungstate with N-Donor Bridging Ligands

Three new supramolecular networks based on paratungstate and N-donor bridging ligands, [H₂bpmp]_2.5H[H₂W₁₂O₄₀]2H₂O(1), [H₂(bpp)]₂[H(py―CH₃)]_0.25[H(py―C₂H₅)]_0.25H_1.5[H₂W₁₂O₄₀]·4H₂O(2) and [H₂pip]₃[H₂W₁₂O₄₀](3)[bpmp=N,N'-bis(4-pyridylmethyl)piperazine; bpp=1,3-bis(4-pyridyl)propane; py=pyridine; pip=piperazine] were prepared by the hydrothermal synthesis and characterized by elemental analysis, infrared(IR), thermogravimetric(TG) analysis and single-crystal X-ray diffraction(XRD). All the compounds show high-dimen- sional supramolecular networks based on [H₂W₁₂O₄₀]^6- and the protonated N-donor ligands via the N―H···O―W hydrogen bonds and/or π···π stacking interactions. Their luminescent properties were investigated.     

Synthesis and Structure of Hetropolyoxometal-supported Transition Metal Complexes

The chemistry of metal-oxo compounds has been extensively and intensively studied for over a hundred years because of their theoritical importance and practical application^[1]. Recent advance has afforded a study of inorganic or organometallic complexes containing metal-oxo anions^[2]. Herein, the synthesis and structural characterization of two heteropolyoxomolybdnum-supported transition metal complexes (H₂bpy)_0.5Ni(H₂O)₅[Mo₅P₂O₂₃]Ni(Hbpy)(H₂O)₄ (1) and (H₂bpy)_0.5Co(H₂O)₅[Mo₅P₂O₂₃]Co(Hbpy) (H₂O)₄(2) are reported.     

Template-directed Synthesis of Three Metal Oxalates via 4-Connected Building Units

Three novel compounds, [Co（en）3]2[Zr2（C2O4）7]·2H20（HNU-2, en=ethylenediamine）, [Co（NH3）6]· [Ce（CzO4）3（H2O）]·H2O（HNU-3） and [Co（dien）2][Gd（C2On）3]·0.75H2O（HNU-4, dien=dethylenetriamine） were hydro- thermal synthesized based on the templates of [Co（en）3]C13, [C0（NH3）6]C13 and [Co（dien）2]C13, respectively. The Zr4＋ Ce3＋ and Gd3＋ cations are all coordinated by four oxalates to form [M（C2O4）n（H2O）n]m （M=Zr, Ce or Gd; n=0 or 1; m=4 or 5）, which are similar to [In（C2O4）4]5- in NKB-1, and can be regarded as 4-connected building units. The [M（C2O4）a（H2O）n]m units are connected via sharing the bis-bidentate bridging oxalate ligands to form binuclears in HNU-2 and 1D ＂zigzag＂ chains in HNU-3 and HNU-4. cular building units to design 3D open frameworks with It is suggested that these compounds could be used as mole- zeolite topologies.     

新型磷-钒-氧层状化合物[H2en]2[H3O]6[Co(H2O)2(VO)8(OH)4(PO4)8]的水热合成与晶体结构

金属磷酸盐材料在吸附、离子交换、离子传导和催化剂方面有潜在的应用前景[1～5]. 近年来, 通过水热反应合成了一些A-V-P-O化合物. 在这些化合物中, A一般为碱金属或有机阳离子, 如层状结构的[H2N(C4H8)2NH2][(VO)4(OH)4(PO4)2][6] 和[H2N(C2H4)3NH2][(VO)8(HPO4)3(PO4)4*(OH)2]*2H2O[6], 一维链状结构的 [H2NCH2CH2NH3(VO)(PO4)][7], 手性双螺旋结构的 [(CH3)2NH2]K4[(VO)10(H2O)2(OH)4(PO4)7]*H2O[8]以及具有三维骨架结构的化合物 [H3N(CH2)3NH3K(VO)3(PO4)3][9], [H3N(CH2)3NH3]2[V(H2O)2(VO)6(OH)2(HPO4)3(PO4)5]*3H2O[10]和[H3N(CH2)2NH3][(VO)3(H2O)2(PO4)2(HPO4)4][11].     

Structural diversity of lanthanide–amino acid complexes under near physiological pH conditions and their recognition of single-stranded DNA

We reported here four structures of lanthanide–amino acid complexes obtained under near physiological pH conditions and their individual formula can be described as [Tb₂(dl-Cys)₄(H₂O)₈]Cl₂ (1), [Eu₄(μ₃-OH)₄(l-Asp)₂(l-HAsp)₃(H₂O)₇] Cl · 11.5H₂O (2), [Eu₈(l-HVal)₁₆(H₂O)₃₂]Cl₂₄ · 12.5H₂O (3), and [Tb₂(dl-HVal)₄(H₂O)₈]Cl₆ · 2H₂O (4). These complexes showed diverse structures and have shown potential application in DNA detection. We studied the interactions of the complexes with five single-stranded DNA and found different fluorescence enhancement, binding affinity and binding stoichiometry when the complexes are bound to DNA.     

Syntheses and Supramolecular Structures of Two Nickel(Ⅱ) Compounds Based on Two Thiosemicarbazone Ligands

Two new compounds, [Ni₂(L¹)(Py)₆]Py·CH₃OH(1) and [Ni₃(L²)₂(Py)₄]·2DMF(2)(H₄L¹=N,N'-bisalicyl- bisthiocarbamide; H₃L²=3-hydroxyl-2-naphthalene thiosemicarbazide; Py=pyridine; DMF=dimethyl fumarate), based upon two thiosemicarbazone ligands have been obtained and characterized by elemental analysis, Fourier transform infrared(FTIR) and X-ray diffraction(XRD). Compound 1 possesses a binuclear cluster, in which the bisalicylbisthiocarbamide acts as a hexadentate bridge. Compound 2 exhibits a linear trinuclear cluster with the triply-deprotonated ligand acting as pentadentate bridge. C―H···O, C―H···π and C―H···S weak interactions further link these molecules to form interesting supramolecular networks.     

Hydrothermal synthesis, crystal structure and characterization of [Zn(H2O)4]2 [H2As6V15O42(H2O)]·2H2O

The compound [Zn(H₂O)₄]₂[H₂As₆V₁₅O₄₂(H₂O)]·2H₂O (1) has been synthesized and characterized by elemental analysis, IR, ESR, magnetic measurement, third-order nonlinear property study and single crystal X-ray diffraction analysis. The compound 1 crystallizes in trigonal space group R3, a=b=12.0601(17) Å, c=33.970(7) Å, γ=120°, V=4278.8(12) Å³, Z=3 and R1(wR2)=0.0512 (0.1171). The crystal structure is constructed from [H₂As₆V₁₅O₄₂(H₂O)]⁴⁻ anions and [Zn(H₂O)₄]²⁺ cations linked through hydrogen bonds into a network. The [H₂As₆V₁₅O₄₂(H₂O)]⁶⁻ cluster consists of 15 VO₅ square pyramids linked by three As₂O₅ handle-like units.     

Syntheses and structural characterization of trivalent lanthanide complexes of p-sulfonatothiacalix[4]arene

The X-ray crystallographic studies are reported for the water-soluble trivalent lanthanide complexes of the macrocyclic p-sulfonatothiacalix[4]arene [Gd(H₂O)₆((CH₃)₂SO)(p-sulfonatothiacalix[4]arene)]·H₃O⁺·5H₂O (1) and Na[Nd(H₂O)₆((CH₃)₂SO)(p-sulfonatothiacalix[4]arene)]·3H₂O (2). The complexes are isostructural and belong to monoclinic system, C2/m space group. The Ln³⁺ metal ion is coordinated by the thiacalixarene ligand via the sulfonato group, and also ligated by an oxygen atom of a dimethyl sulfoxide (DMSO) molecule that occupies the cavity of the thiacalixarene and six aqua ligands. The thiacalixarenes are linked by the coordinated water molecules through hydrogen bonding to form a 2D polymer. The p-sulfonatothiacalixarenes maintain the clay-like bi-layer structure in the coordination network.     

Two New Inorganic-organic Hybrid Compounds Constructed from Different Polymolybdates and Transition Metal-amine Subunits

Two new polyoxometalate(POM)-based hybrid compounds, [Cu(en)][H₄Mo₄O₁₆]_0.5(1)(en=ethylene- diamine) and [Ag(3-C₅H₆N₂)₂][H₂PMo₁₂O₄₀](2)(3-C₅H₆N₂=3-aminopyridine), containing different transition metal-amine subunits were hydrothermally synthesized and characterized by elemental analyses, infrared spectroscopy and single-crystal X^-ray diffraction. For compound 1, each [H₄Mo₄O₁₆]^4-(Mo₄O₁₆) cluster was linked to four neighboring Mo₄O₁₆ clusters through four [Cu(en)]²⁺ subunits to yield a (2,4)-connected 2D layer, which was further extended to a 3D supramolecular network via hydrogen bonding interactions. For compound 2, the adjacent [H₂PMo₁₂O₄₀]^- clusters were bridged by [Ag(3-C₅H₆N₂)₂]⁺ subunits to generate a 1D chain. The electrochemical behaviors and the photocatalytic activities of compounds 1 and 2 were studied in detail.     

Third-order Optical Nonlinearities of a Series of Compounds Derived from a Keplerate Type Molybdenum-oxide-based Polyoxometalate

Abstract By reacting the unique Keplerate type molybdenum-oxide based polyoxometalate （NH4）42·[MoI320372·（CH3COO）30（H2O）y2]·ca.300H2·ca. 10CH3COONH4（1） with tetramethylammonium bromide, a new derivative （NH4）26[TMA]16{MoI32O372（H2O）72（CH3COO）30}·ca.7NH4CH3COO·ca.189H2O（2, TMA=tetramethylammonium） was prepared. Compound 2 was characterized by Fourier transform infrared spectroscopy（FTIR）, UV-Vis, elemental and thermogravimetric analyses. By the well-established Z-scan technique, investigations on the nonlinear opti- cal（NLO） properties of the series of compounds derived from the Keplerate type molybdenum-oxide-based poly- oxometalate, namely, the newly prepared compound 2, the three previously reported compounds, included compound 1, （NH4hs（TBA）24{Mo132O372（H2O）72（CH3COO）30}·ca.7NH4CH3COO·ca. 173H2O（3, TBA=tetrabutylammonium） and （DODA）40（NH4）2[（H2O）nMo132O372（CH3COO）3o（H20）72]（4, DODA=dimethyldioctadecylammonium）, reveal that the third-order nonlinearity[x（3）] values of compounds 1, 2 and 3 in the DMF/H2O solution and compound 4 in chloro- form are almost the same, which indicates that the counter cations with different length of alkyl chains show ignora- ble impacts on the NLO susceptibility. In other words, the remarkable third-order nonlinearities[x（3）≈10 19 m2/V2] mainly come from the [MoI32O372（CH3COO）30（H2O）72]42 anions. This fact reveals that the applications of the NLO active polyoxometalates in various environments（such as hydrophilic, hydrophobic, polar, apolar, etc.） can be achieved by simply varying cations to meet the demands in the design of diverse devices. Keywords Keplerate type polyoxometalate; Nonlinear optical property; Z-Scan technique; Self-defocusing; Reverse saturable absorption     

Acidic properties of [Al], [Ga] and [Fe] isomorphously substituted zeolites. Density functional model cluster study of the complexes with a probe CO molecule

The Brønsted acid strength and related characteristics of bridging hydroxyl groups in [Al]-, [Ga]- and [Fe]-framework-substituted zeolites have been studied using a model cluster density functional approach based on a gradient-corrected exchange-correlation energy functional. The acidity is found to decrease in the order Al(OH)Si > Ga(OH)Si > Fe(OH)Si in agreement with existing experimental and theoretical results. The present quantification is based on the calculated deprotonation energy of H₃Si(OH)TH₃, on the adsorption energy of a CO probe molecule as well as on the changes of the vibrational frequencies and absolute IR intensities of the O---H and of the C---O modes induced by CO adsorption. The vibrational parameters of the carbonyl adsorption complex in [Fe]-zeolites are predicted.     

Ion size dominated 1D and 2D Salen lanthanide coordination complexes and their luminescence

Lewis acid/base addition between Ln(NO₃)₃ · 6H₂O (Ln = Pr, Nd, Sm, Eu, Tb and Lu) and H₂salen [H₂salen = N,N′-ethylenebis(salicylideneimine)] gives rise to an array of coordination polymeric structures. Crystal structural analysis reveals that Salen effectively functions as a bridging ligand in these compounds. The size of the lanthanide ions controls the structures of these Salen lanthanide complexes. Two representative structures with one dimensional and two dimensional topologies, viz. [Pr(H₂salen)(NO₃)₃(CH₃OH)₂]_n (1) and [Ln(H₂salen)_1.5(NO₃)₃]_n [Ln = Pr (2), Nd (3), Sm (4), Eu (5), Tb (6) and Lu (7)] are reported. Luminescent spectra of complexes 4 and 5 exhibit characteristic metal-centered emission lines. However, the characteristic luminescence of the terbium(III) ion is not observed either in solution or in the solid state of complex 6.     

Two Pentavanadate-based Organic-inorganic Materials with Third-order NLO Properties

Two isolated organic-inorganic pentavanadate-based hybrids,[H2N(CH3)2]6.34[V^V(μ3-O)4V4^IVO5(SO4)4]·(SO4)0.67·(DMF)·[HN(CH3)2]1.66(1)and [(HN)2(CH2)2(CH3)4][V^V(μ3-O)4V4^IVO5(SO4)4][H2N(CH3)2]3@(DMF)@ [HN(CH3)2]0.5(2)(DMF=N,N-dimethylformamide)have been synthesized under solvothermal conditions and structurally characterized.In compound 1,three adjacent basic units form a triangle type cluster.The symmetric double-layer exists in compound 2.The study of the third-order nonlinear optical(NLO)properties for the two compounds demonstrates that the two-photon absorption(TPA)cross-section σ values of compounds 1 and 2 are 1372 and 1228 GM,respectively,indicating that both compounds may have potential application in optical field.     

二苯羧酸类稀土配合物对藤黄微球菌抑制作用的微量热研究

合成了4例二苯羧酸类稀土配合物:[Re_2(oba)_3(H_2O)_5]·H_2O[Re=La(1)、Ce(2)、Sm(3)、Er(4)](oba=4,4'-二羧基二苯基醚),利用元素分析、红外光谱和粉末X射线衍射等技术手段对其结构及组成进行了表征,热重分析表明,4例配合物具有良好的热稳定性。采用微量热法,实时跟踪监测4种目标配合物对藤黄微球菌的抑制作用,得到了热谱曲线。依据热动力学模型对热谱曲线进行解析,计算了生长和抑制过程的热动力学函数,在不同浓度配合物存在时,获得了细菌生长速率常数(k)、最大产热功率(P_(max))、传代时间(t_G)以及抑制率(I)等参数。结果表明,4种配合物对藤黄微球菌均具有抑制作用,抑菌效果依次为:[Er_2(oba)_3(H_2O)_5]·H_2O(4)[Sm_2(oba)_3(H_2O)_5]·H_2O(3)[Ce_2(oba)_3(H_2O)_5]·H_2O(2)[La_2(oba)_3(H_2O)_5]·H_2O(1)。