一维酞菁聚合物的从头算晶体轨道研究

用密度泛函自洽场晶体轨道方法计算了几种一维酞菁聚合物及其取代衍生物的能带结构和电子性质,得到这些聚合物均是半导体.研究发现,聚合方式和共轭程度的差异不仅影响能隙的大小,而且影响能带的形状.取代基对聚合物能带形状的影响不大,但取代基的电子特性对能带的位置高低起到一定的作用.     

结构原子组成对Keggin型杂多酸铯盐上丙烷选择氧化性能的影响

系统地研究了具有不同结构原子组成的Keggin型杂多酸铯盐上丙烷选择氧化性能,重点考察了H3+n-xCsxPMo12-nVnO40(n=0-4,x=0-3)系列化合物以及H0.5Cs2.5PW12O40,H1.5Cs2.5PW11VO40和H1.5Cs2.5SiMo12O40样品.应用BET,UV-Vis,FTIR,XRD,TPR和SEM等手段研究了催化剂的物化性质.V取代Mo增加了H3+nPMo12-nVnO40(n=0-4)系列杂多酸的酸量和氧化性能.Cs+对质子的取代调变了样品的表面酸性以及氧化还原性,同时催化剂的热稳定性也随着Cs+取代数的递增而增强,当Cs+的取代数达到2以上时催化剂的热稳定性较好.Cs+取代对H3+n-xCsxPMo12-nVnO40(n=0-4,x=0-3)催化剂上丙烷选择氧化性能有重要影响.随着一级结构中V5+取代数目的增多,可能的Cs+取代数目相应减少;而对丙烯酸的选择性则存在一适宜的Cs+取代数目.Keggin型杂多阴离子的结构原子组成及平衡离子的种类和数量决定了其酸性、氧化还原性和热稳定性,这是影响该类催化剂上丙烷选择氧化性能的首要因素.研究结果表明,以P为中心原子,以Mo和V为配位原子的杂多酸铯盐[x(Cs+)=2.5]具有较好的催化性能.     

Photoelectron valence band spectra of diacetylene polymers

The valence band photoelectron spectra of three single crystal diacetylene polymers excited with Mg Kα and He radiation are reported. Spectral bands due to the polymer chain are identified by elimination of side group contributions using existing data for related chemical groups and by observations of one diacetylene during polymerization. Core electron levels are used as binding energy references. The results are compared with other experimental data and with molecular orbital calculations for polyenes and polydiacetylenes.     

Two-dimensional angle-resolved photoelectron spectroscopy using display analyzer—Atomic orbital analysis and characterization of valence band

The information obtained by two-dimensional angle-resolved photoelectron spectroscopy in UPS (ultraviolet photoelectron spectroscopy) region is described. A display-type spherical mirror analyzer can measure wide-angle angular distribution of photoelectrons of one particular kinetic energy (binding energy) without changing the angles of incident light and the sample. The shape of the cross section of valence band, especially of the Fermi surface can be observed directly on the screen. Three-dimensional energy band and Fermi surface are obtained by scanning the binding energy of two-dimensional band mapping. In the case of linearly polarized light excitation the symmetry relation in the photoelectron excitation process can also be displayed as “angular distribution from atomic orbital ADAO”, which is used to distinguish the atomic orbitals constituting the energy band. An example is shown for the atomic orbital analysis of Cu Fermi surface at each k point. It was successfully revealed that the Cu 4p orbitals are aligned with their axes pointing outwards. Another important angular distribution is the “photoemission structure factor PSF”, which originates from the interference among photoelectron waves from individual atoms. PSF determines the intensity inequivalency between Brillouin zones and reveals the bonding character of the energy band.     

Electronic structures of newly designed two-dimensional high-spin organic polymers

Practical two-dimensional high-spin organic polymers are newly designed and the electronic structures are examined on the basis of the ab initio two-dimensional unrestricted Hartree–Fock crystal orbital (UHF-CO) method. The present polymers can be oxidized up to six electrons per unit cell, and it is predicted that the three-electron and six-electron oxidations per unit cell lead to the high-spin organic polymers having superdegenerate band structures originating from the characteristic non-bonding crystal orbital patterns.     

Intramolecular interactions of L‐phenylalanine: Valence ionization spectra and orbital momentum distributions of its fragment molecules

Intramolecular interactions between fragments of L ‐phenylalanine, i.e., phenyl and alaninyl, have been investigated using dual space analysis (DSA) quantum mechanically. Valence space photoelectron spectra (PES), orbital energy topology and correlation diagram, as well as orbital momentum distributions (MDs) of L ‐phenylalanine, benzene and L ‐alanine are studied using density functional theory methods. While fully resolved experimental PES of L ‐phenylalanine is not yet available, our simulated PES reproduces major features of the experimental measurement. For benzene, the simulated orbital MDs for 1e_1g and 1a_2u orbitals also agree well with those measured using electron momentum spectra. Our theoretical models are then applied to reveal intramolecular interactions of the species on an orbital base, using DSA. Valence orbitals of L ‐phenylalanine can be essentially deduced into contributions from its fragments such as phenyl and alaninyl as well as their interactions. The fragment orbitals inherit properties of their parent species in energy and shape (ie., MDs). Phenylalanine orbitals show strong bonding in the energy range of 14‐20 eV, rather than outside of this region. This study presents a competent orbital based fragments‐in‐molecules picture in the valence space, which supports the fragment molecular orbital picture and building block principle in valence space. The optimized structures of the molecules are represented using the recently developed interactive 3D‐PDF technique. © 2010 Wiley Periodicals, Inc. J Comput Chem, 2011     

Symmetric and symmetry-broken Hartree–Fock solutions of one-dimensional models

Pariser–Parr–Pople Hartree–Fock crystal orbital calculations (both restricted and unrestricted versions) are performed for one-dimensional models of π-electron polymers. The π-electron band structures corresponding to symmetric and nonsymmetric solutions have been calculated. To investigate the influence of the form of the interelectronic interaction, the calculations were performed with the Mataga–Nishimoto (MN ) formula and a modified Mataga–Nishimoto (MMN ) formula for two-electron integrals. We have found that curves of the points of the minimum total energy per unit cell for the alternating models are very similar, but band structures and energy gaps are quite different when the MN formula was substituted with the MMN formula for two-electron integrals.     

Ca2B2O5的电子结构和能带结构

合成了标题化合物,在已测晶体结构的基础上,利用含组态作用的INDO/S方法计算了其他电子能带结构;利用态求和方法计算了微结构分子的线性极化率及其晶体的平均折射率。分析结果表明,价带主要由B^3^+和O^2^-离子的价轨道的贡献,导带底部主要由Ca^2^+离子轨道的贡献,从O^2^-离子到Ca^2^+离子的电荷转移对线性极化率起主要贡献。     

Formulation of the coupled cluster theory with localized orbitals in correlation calculations on polymers

It is shown that in the framework of coupled cluster theory both the correlation energy per unit cell and quasi-particle band structures of polymers can be computed directly from matrix elements of the excitation operator and the two-electron integrals calculated in localized orbital basis. Further, it is described how to thake advantage of the localized nature of the orbitals applied. Ab initio test calculations on a finite model system similar to the Pariser–Parr–Pople Hamiltonian are presented.     

一维〔M（tmp）〕_2ReO_4（M＝Ni、Cu、Pd）聚合物的能带结构

用紧束缚ＥＨＴ晶体轨道方法对一维〔Ｍ（ｔｍｐ）〕_２ＲｅＯ_４（Ｍ＝Ｎｉ、Ｃｕ、Ｐｄ）聚合物进行了能带计算，利用键向量近似方法对能带的结构及组成进行了讨论。结果表明，该类型聚合物具有不同的导电机理，并进一步研究了环平面间的成键性质及转角改变对聚合物导电性能的影响。     

A theoretical investigation of electron correlation and relaxation in organometallic polymers

The importance of many-body interactions beyond the mean-field approximation of the Hartree–Fock (HF ) self-consistent-field crystal orbital formalism is analyzed in one-dimensional (lD) transition-metal (3d) polymers with extended organic π ligands. The correlation energies are expressed in a quasiparticle picture. They are divided into long-range contributions that are coordinated with the basis of spatially uncorrelated Bloch orbitals and into short-range correlations derived for local rearrangement processes that are described in terms of a one-electron basis which breaks the translational symmetry of the lD system. Both contributions (long-range and short-range correlations) are fragmented into elements of physical significance (hole and electron self-energies for the former interactions; relaxation, pair-relaxation and pairremoval terms for the local virtual excitations). The magnitude of these elements is analyzed as a function of the characters of the one-electron states in the HF bands, the occupation patterns at the 3d centers, the available particle and hole channels in the elementary fluctuations and the energies and shapes of the various bands. The broad spectrum of possible amplifications and compensations leading to the quasiparticle shifts in metallomacrocycles is discussed. The different mechanisms to change the dispersions and to modify the width of the ?(k) curves are studied. It is shown that electron correlation and relaxation in transition-metal polymers can lead even to a broadening of the energy bands. This behavior is in contrast to the influence of many-body effects in simpler homogeneous materials where electron correlation is in any case accompanied by a narrowing of the dispersions (i.e., detraction of the group velocities of particles and holes). Possible modifications in the shapes of the one-particle curves and the quasiparticle bands are also considered in the text [transition from a “normal ?(k) dispersion” to an energy band with a negative slope as a result of electron correlation]. Simplified formulas are derived that allow for a rough assessment of the various correction terms even in structurally complicated transition-metal stacks with extended organic ligands. The approximate relations are used to correct the HF band structures of complex onedimensional metallomacrocycles as well as simpler crystalline materials by means of the quasiparticle approximation.     

Bandgap engineering of indenofluorene‐based conjugated copolymers with pendant donor‐π‐acceptor chromophores for photovoltaic applications

Three narrow‐band‐gap conjugated copolymers based on indenofluorene and triphenylamine with pendant donor‐π‐acceptor chromophores were successfully synthesized by post‐functionalization approach. All the polymers have good solubility in common solvents and excellent thermal stability. The photophysical properties, energy levels and band gaps of the polymers were well manipulated by introducing different acceptor groups onto the end of their conjugated side chains. By using different acceptor groups, the band gaps of the polymers were narrowed from 1.86 to 1.53 eV by lowering their lowest unoccupied molecular orbital levels, whereas their relatively deep highest occupied molecular orbital levels of approximately ?5.35 eV were maintained. Bulk‐heterojunction solar cells with these polymers as electron donors and (6,6)‐phenyl‐C₇₁‐butyric acid methyl ester as acceptor showed power conversion efficiencies as high as 3.1% and high open circuit voltages more than 0.88 eV. The relationships between the performance and film morphology, energy levels, charge mobilities were discussed. © 2011 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2011     

给/吸电子基团取代对PPV类电致发光聚合物光电特性的影响

用量子化学的AM1和EHMACC/CO方法计算PPV,MEH-PPV和CN-PPV的电子和能带结构,讨论了烷氧基(-OR)和氰基(-CN)侧基取代对PPV类电致发光聚合物光电特性的影响.计算结果表明:给电子基团(-OR)取代使聚合物的HOCO(最高占据晶体轨道)能级升高,电离势减小,而吸电子基团(-CN)取代使LUCO(最低未占据晶体轨道)能级降低,电子亲和势增大,两者都使聚合物能隙降低,同时使聚合物的导电类型由PPV的p型转变成CN-PPV的n和p兼容型.该结果解释了MEH-PPV和CN-PPV光谱的红移及CN-PPV高的电致发光效率,为设计新型高效的PPV类电致发光聚合物提供了理论基础.     

Interchain impacts on electronic structures of heterocyclic oligomers and polymers containing group 14, 15, and 16 heteroatoms: quantum chemical calculations in combination with molecular dynamics simulations

The packing structures and packing effects on excitation energies of oligomers of polyfuran (PFu), polypyrrole (PPy), polycyclopentidene (PCp), polythiophene (PTh), polyphosphole (PPh), and polysilole (PSi) are comparatively studied by employing molecular dynamics (MD) simulations and time-dependent density functional theory (TDDFT) calculations. The dependence of packing structures on the main group of heteroatoms in the five-membered heterocyclic oligomers is exhibited from MD simulations. The planarity of backbones and the population of pi-stacked structures increase with the heteroatoms going from group 14 to group 16; i.e., PCp < PPy < PFu; PSi < PPh < PTh. The polymers with the third row elements, PSi and PPh, tend to have larger chain flexibilities in the packing systems than those with the second row elements, PCp and PPy, respectively. On the basis of the second-order M?ller-Plesset perturbation (MP2) and natural bond orbital (NBO) calculations of the pi-stacked pairs, the difference in pi-stack orientations, head-to-tail vs head-to-head, between various packing systems is rationalized by individual interchain bond orbital interactions involved with heteroatoms. The packing systems with higher row elements tend to have narrower band gaps. The band gaps are closely related to the chain torsions driven by interchain interactions. The noticeable chain distortions in the packing systems of PCp, PSi, and PPh lead to the significant increase of band gaps in comparison with those appraised from periodic boundary conditions (PBC) calculations on their planar isolated chains.     

Synthesis and characterization of thieno[3,2‐b]thiophene‐isoindigo‐based copolymers as electron donor and hole transport materials for bulk‐heterojunction polymer solar cells

A novel class of thieno[3,2‐b]thiophene (TT) and isoindigo based copolymers were synthesized and evaluated as electron donor and hole transport materials in bulk‐heterojunction polymer solar cells (BHJ PSCs). These π‐conjugated donor‐acceptor polymers were derived from fused TT and isoindigo structures bridged by thiophene units. The band‐gaps and the highest occupied molecular orbital (HOMO) levels of the polymers were tuned using different conjugating lengths of thiophene units on the main chains, providing band‐gaps from 1.55 to 1.91 eV and HOMO levels from ?5.34 to ?5.71 eV, respectively. The corresponding lowest unoccupied molecular orbital (LUMO) levels were appropriately adjusted with the isoindigo units. Conventional BHJ PSCs (ITO/PEDOT:PSS/active layer/interlayer/Al) with an active layer composed of the polymer and PC₇₁BM were fabricated for evaluation. Power conversion efficiency from a low of 1.25% to a high of 4.69% were achieved with the best performing device provided by the D?π?A polymer with a relatively board absorption spectrum, high absorption coefficient, and more uniform blend morphology. These results demonstrate the potential of this class of thieno[3,2‐b]thiophene‐isoindigo‐based polymers as efficient electron donor and hole transport polymers for BHJ PSCs. © 2012 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2013     

An oligomer study on small band gap polymers

Small band gap polymers may increase the energy conversion efficiency of polymer solar cells by increased absorption of sunlight. Here we present a combined experimental and theoretical study on the optical and electrochemical properties of a series of well-defined, lengthy, small band gap oligo(5,7-bis(thiophen-2-yl)thieno[3,4-b]pyrazine)s ( E g = 1.50 eV) having alternating donor and acceptor units. The optical absorptions of the ground state, triplet excited state, radical cation, and dication are identified and found to shift to lower energy with increasing chain length. The reduction of the band gap in these alternating small band gap oligomers mainly results from an increase of the highest occupied molecular orbital (HOMO) level. The S 1-T 1 singlet-triplet splitting is reduced from approximately 0.9 eV from the trimeric monomer to -0.5 eV for the pentamer. This significant exchange energy is consistent with the fact that both the HOMO and the lowest unoccupied molecular orbital (LUMO) remain distributed over virtually all units, rather than being localized on the D and A units.     

金属聚炔能带结构与化学键研究──Ⅰ．主链中金属对聚炔能带结构的影响

用紧束缚ＥＨＴ晶体轨道方法对含有过渡金属的聚炔化合物［─Ｃ≡Ｃ─Ｍ（ＰＨ_３）_２─Ｃ≡Ｃ─］_ｎ（Ｍ＝Ｐｄ，Ｐｔ，Ｎｉ）及［─Ｃ≡Ｃ─Ｍ─Ｃ≡Ｃ─］_ｎ（Ｍ＝Ｃｕ，Ａｇ，Ａｕ）进行了能带结构计算，发现在费米能级附近的导带或价带都是离域的ｄ－ｐπ键，这些能带对导电性起决定作用。根据重复单元碎片分子轨道和相互作用讨论了能带的组成与碎片分子轨道的相互关系。     

聚茚并茚及其取代衍生物的理论研究

用子洽场全略微分晶体轨道法对聚茚并茚及其取代衍生物的电子结构进行了计算研究,探讨了取代基效应。计算得到聚茚并茚及其取代物是一类具有较低带隙的半导体。取代基效应表明,吸电子基团的取代使聚合物的电子亲和势增大,而给电子基团的取代则导致电离势减小,但取代基效应不能改变聚合物的半导体性质。     

Analysis of long-range effects in many-body correlation approaches for one-dimensional periodic systems

We analyze the divergent contributions to the Hamiltonian for extended, nonmetallic systems in one dimension, to both the ground-state correlation energy and to the correlated band structure. It is shown that the contribution from the long-range divergent part of the Hamiltonian tends to zero as 1/M⁻², where M is the extent of the troublesome lattice summations. Therefore, it is well justified to neglect such contributions in higher order many-body perturbation theory or coupled cluster treatments of the electronic structure for polymers. © 1997 John Wiley & Sons, Inc.     

基于1-(4-己氧)苯和2,4,6-三苯基-1,3,5-三嗪功能化芴单元的聚合物蓝光材料的合成与表征

以聚(9,9-二己烷芴)(1)和聚(9,9-二(1-(4-己氧)苯)芴)(2)作为参照物,通过Suzuki偶联反应合成了侧链9位碳含有4-己氧基苯和2,4,6-三苯基-1,3,5-三嗪单元的芴共聚物3.聚合物1,2和3固体粉末的5%质量热损失温度分别是274,318和401℃,玻璃化转变温度分别是91,120和139℃.聚合物1,2和3在甲苯溶液中的最大吸收峰和荧光发射峰分别在380和435 nm.从聚合物1到聚合物3,薄膜的荧光发射最大半峰宽逐渐降低.大体积刚性吸电子2,4,6-三苯基-1,3,5-三嗪基团的引入,使聚合物1,2和3的热稳定性、蓝光发射的色纯度和光谱稳定性逐渐提高,不同工作电压驱动下聚合物3稳定的电致发光光谱进一步证明了这一点.聚合物1,2和3的最高占有轨道能级分别为-5.72,-5.95和-5.96eV,最低未占有轨道能级分别为-2.70,-2.39和-2.43 eV.聚合物1,2和3的三线态能级分别为2.82,2.81和2.97 eV.聚合物1,2和3的单线态-三线态能级差分别是0.32,0.32和0.15 eV.4-己氧基苯的引入使聚合物的能隙变宽,而吸电子的2,4,6-三苯基-1,3,5-三嗪的引入使聚合物单线态-三线态能级差依次减少.聚合物1,2和3粉末均易于形成非晶薄膜.聚合物3粉末的有序性介于聚合物1和2之间,聚合物2侧链的烷氧基苯有助于提高固体粉末有序形态的多样化.综合结果表明,侧链含有刚性4-己氧基苯和2,4,6-三苯基-1,3,5-三嗪基团的无规共聚物3具有更佳的综合光电性质.