翁小龍　王　艷　賈春陽(yáng),*　萬(wàn)中全　陳喜明　姚小軍

(1電子科技大學(xué)微電子與固體電子學(xué)院，電子薄膜與集成器件國(guó)家重點(diǎn)實(shí)驗(yàn)室，國(guó)家電磁輻射控制材料工程技術(shù)研究中心，成都610054；2中車(chē)株洲電力機(jī)車(chē)研究所有限公司，湖南株洲412001；3蘭州大學(xué)化學(xué)化工學(xué)院，功能有機(jī)分子化學(xué)國(guó)家重點(diǎn)實(shí)驗(yàn)室，蘭州730000)

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新型四硫富瓦烯-三苯胺類(lèi)光敏染料理論研究

翁小龍1王艷1賈春陽(yáng)1,*萬(wàn)中全1陳喜明2姚小軍3

(1電子科技大學(xué)微電子與固體電子學(xué)院，電子薄膜與集成器件國(guó)家重點(diǎn)實(shí)驗(yàn)室，國(guó)家電磁輻射控制材料工程技術(shù)研究中心，成都610054；2中車(chē)株洲電力機(jī)車(chē)研究所有限公司，湖南株洲412001；3蘭州大學(xué)化學(xué)化工學(xué)院，功能有機(jī)分子化學(xué)國(guó)家重點(diǎn)實(shí)驗(yàn)室，蘭州730000)

在簡(jiǎn)單結(jié)構(gòu)的D-π-A三苯胺光敏染料(YD1)中引入不同數(shù)量的四硫富瓦烯(TTF)單元作為次級(jí)電子給體以增強(qiáng)有機(jī)光敏染料的給電子能力，設(shè)計(jì)了兩個(gè)結(jié)構(gòu)分別為D-D-π-A(YD2)以及2D-D-π-A(YD3)的光敏染料分子，并且采用密度泛函理論(DFT)和含時(shí)密度泛函理論(TD-DFT)分別模擬計(jì)算了純光敏劑分子及其吸附二氧化鈦團(tuán)簇后的幾何構(gòu)型、電子結(jié)構(gòu)以及光物理性能。采用周期性密度泛函理論模擬計(jì)算光敏染料分子在二氧化鈦(101)面吸附的表面形貌以及態(tài)密度(DOS)。計(jì)算結(jié)果表明，TTF單元的引入不僅可以有效減少光敏染料分子的團(tuán)聚，還可以提升其吸收性能。此外，光吸收效率(LHE)、電子注入驅(qū)動(dòng)力(ΔGinject)以及DOS的計(jì)算結(jié)果顯示，YD2和YD3理論上可以呈現(xiàn)出比YD1更高的短路電流密度(Jsc)以及開(kāi)路電壓(Voc)。因此，通過(guò)本文的理論研究表明，TTF單元可以作為有機(jī)光敏染料中的次級(jí)電子給體來(lái)改善光敏染料的性能。

三苯胺；四硫富瓦烯；光敏染料；密度泛函理論；染料敏化太陽(yáng)能電池

www.whxb.pku.edu.cn

1　Introduction

Dye-sensitized solar cells(DSSCs),which can convert light into electricity,have received increasing attention owing to their advantages as environmentally benign,easy preparation,and low cost1.There are four components in DSSCs:sensitizer,electrolyte, counter electrode,photo-anode.Among them,dye sensitizer attracts much attention for its special role,capture the light energy. The best efficient sensitizer which is based on porphyrin sensitizers,has reached an overall solar energy conversion efficiency (η)of 13%under standardAM 1.5G sunlight2.And the efficiencies of the star sensitizers(N3,N719,and black dyes)which are all based on ruthenium sensitizers have exceeded 12%as well3.With the characteristics of high molar extinction coefficients,tunable absorption and electrchemical properties by suitable molecular design,metal-free sensitizers have been extensively investigated. Recently,Wang and coworkers4synthesized a new pure organic sensitizer with the η of 12.5%,which could be equal to the ruthenium sensitizers and the porphyrin sensitizers.At present,kinds of metal-free dyes as sensitizers have been developed and shown good performances,such as:triphenylamine dyes5,carbazole dyes6,fluorene dyes7,8,coumarin dyes9,and indoline dyes10,11.

Triphenylamine(TPA)based dyes possess much attention because of their non-planar structures,prominent electrondonating abilities,and their hole-transporting properties12,13.In 2010,Wang and coworkers14synthesized a novel triphenylamine based organic dyes with the η of 10.3%.Most of them present good power conversion efficiencies in DSSCs15.However,the electron-donating ability of simple TPAunit is not strong and the absorption range is not enough broad.In order to enhance the power conversion efficiency,researchers pay attention to the modification of the structure of TPA-based dyes,mainly by introducing different kinds of auxiliary electron-donor units.Carbazole16,imidazole17,and phenothiazine moieties18are the most common auxiliary electron-donor units.Recently,Tarsang and coworkers19modified the simple TPAdyes by introducing different numbers of auxiliary donor groups into triphenylamine core and investigated them by theoretical computation.The calculation results show that compared with the D-π-Aand D-D-π-Asystems, 2D-D-π-A system shows the most red-shift of absorption wavelength.

Tetrathiafulvalene(TTF)and its derivatives have been employed first to design conducting materials such as organic metals, semiconductors,and superconductors20.After that,TTFs as electron donors paired with suitable acceptors have been well exploited in controlled self-assembled nanostructures,environmentally responsive devices,nonlinear optical arrays,as well as light harvesting complexes21.TTF and its derivatives with their characteristic of strong reversible electron donating abilities could be used as the electron donor in sensitizers for DSSCs22,23.In 2010, Gr?tzel and coworkers24reported successful photovoltaic conversion with a new class of stable tetrathiafulvalene derivatives and the η of dye PAB-3 based cell reached 3.8%.Later,Liu et al.25prepared a new TTF-based sensitizer in which TTF acts as the electron donor and the η of related cell has achieved 6.47%. However,few of TTF units have been used as the auxiliary electron donor in sensitizers until now.

In this work,to enhance the electron donating ability,the simple TPAsensitizer(YD1)is modified by introducing different number of TTF units as the auxiliary electron donor to form two novel sensitizers with D-D-π-A(YD2)and 2D-D-π-A(YD3)structures, theoretical investigation on the electronic structures and optical properties of the two metal-free sensitizers are performed.The structures of YD1－3 are shown in Fig.1.

2　Theoretical approach

2.1Method

Fig.1　Molecular structures of YD1－3

Density functional theory(DFT)and time-dependent DFT(TDDFT)are the reliable theoretical computation tools to forecast the structures and properties which mainly contain the valence excitation energies and absorption spectra of the organic dyes26,27. The modeling of(TiO2)9cluster has been proved that it is enough to reproduce adequately the electronic absorption spectra of dye-TiO2systems by Sanchez-de-Armas and his group28,29.The groundstate geometries and frequency calculations of YD1－3 before and after binding to(TiO2)9clusters in vacuum are both first optimized by using B3LYP30,31hybrid functional alone with 6-31G*for C,H, O,N,S atoms,effective core potential(ECP)LANL2DZ,and its accompanying basis set for Ti atom.The optimized geometries are true minima for there is no imaginary frequency.We select coulomb-attenuating method CAM-B3LYP functional32to calculate the vertical excitation energies and the oscillator strengths33within the framework of TD-DFT.And five solvents are chosen to predict the effects of solvent on the absorption spectra by using non-equilibtium implemention of the conductor-like polarizable continuum model(CPCM)34,35.All calculations were performed with Gaussian 0936.

In addition,the adsorption of sensitizers on the TiO2surface was further investigated.The starting geometry for(TiO2)38was discussed in a previous literature37,the adsorption of sensitizers on the(TiO2)38cluster was performed with DFT calculation by DMol3program in Materials Studio version 5.5.All the electronic calculations were made with DNP basis sets,whose size is comparable to Gaussian 6-31G**,but DNP is more accurate than a Gaussian basis set of the same size38.The exchange-correlation interaction was treated within the generalized gradient approximation(GGA)with the functional parameterized by Perdew, Burke,and Ernzerhof(PBE)39.We used DFT Semi-core Pseudo potentials(DSPPs)to treat the core electron40.After optimization, the adsorption energies(Eads)of sensitizers on the(TiO2)38clusters were obtained by using the following equation:

where Edyeis the total energy of isolated dye,ETiO2is the total energy of(TiO2)38,cluster andEdye+TiO2is the total energy of dye-(TiO2)38complexes.After applying the above expression equation, the results of the positive value of Eadsindicate a stable adsorption.

2.2Theoretical background

Theoverallconversionefficiency(η),whichisrelatedtotheshortcircuit photocurrent density(Jsc),open-circuit photovoltage(Voc), and fill factor(FF),is an important parameter to characterize the performanceofDSSCs.Ingeneral,ηcanbeexpressedasfollows:

The Jscis the photocurrent per unit area(mA·cm－2)when the applied bias potential is zero.When no current is flowing through the cell,the potential equals the Voc.The FF is defined as the maximum power output(JmaxVmax)divided by the product of Jscand Voc(Eq.(1)).Isis the intensity of the incident light.From the above equations,the most effective way of increasing η is to improve the Jscand Voc.The Jscdepends on the light harvesting efficiency at a given wavelength(LHE(λ)),charge collection efficiency(ηcollect), and electron injection efficiency(Φinject):

f is the oscillator strength of the dye associate to the maximum absorption wavelength(λmax)in the equation.There is a linear correlation between f and LHE41,the larger f the higher LHE.In addition,a larger Φinjectwhich is related to the injection driving force(ΔGinject)could also gain a high Jsc.The ΔGinjectcan be calculated as follows42,

where Edye*is the oxidation potential energy of the dye in the excited state and ECBis the reduction potential of the conduction band of TiO2.In this work,ECBis－4.0 eV for TiO243.Edyeis the oxidation potential energy of the dye in the ground state,while E0－0is an electronic vertical transition energy corresponding to the λmax.

where q is the unit charge,ncis the number of electrons in the conduction band,kT is the thermal energy,NCBis the accessible density of conduction band states,and Eredoxis the reduction-oxidation potential of the electrolyte,ECBis the conduction band edge of semiconductor.

3　Results and discussion

3.1Ground state optimized geometries

The ground state geometries ofYD1－3 before and after binding to(TiO2)9clusters in vacuum are shown in Fig.2.The corresponding data are summarized in Table 1.

The ground state geometries demonstrate that the three benzene rings in the triphenylamine cores ofYD1－3 are all non-planar,the non-planar geometries could prevent the intermolecular π－π stacked aggregation45.TTF unit is considered as a strong auxiliary electron donor linking on the triphenylamine core to increase the electron donor ability of the sensitizer.It is found that when one TTF unit is introduced into the triphenylamine core(YD2),the inter-ring torsion angles(IDA)R1-R2 and R1-R3 increase to 28.36°and 29.27°(25.98°and 26.28°forYD1),which is helpful to prevent π-π stacked aggregation efficiently.In order to further extend the electron donor ability and enhance the light absorption, anotherTTF is introduced intoYD2,the IDAR1-R2 and R1-R3 of YD3furtherincreaseto31.62°and31.41°,suggestingthatYD3has a larger steric hindrance compared to YD2.Besides,the steric hindrance of the tail of TTF moiety as antenna could also prevent unfavorable aggregation of the sensitizers on the TiO2surface and the charge recombination at the TiO2/electrolyte interface,both of which have an adverse effect on the photocurrent and photovoltage and therefore contribute to increase the η of DSSCs.The dihedral angles between auxiliary donor and primary donor were named as external dihedral angle(EDA).The smaller EDAs could provide the smooth electron delocalization in the π-conjugated bridge resulting in an extended π-conjugated system.The calculated EDAs forYD2(6.48°)andYD3(2.17°and 1.24°)suggest that both of the two sensitizers have good extent of electron delocalization.

Fig.2　Optimized geometries of YD1－3 before and after binding to(TiO2)9clusters

Table 1　Selected dihedral angles(Φ)of YD1－3 by B3LYP/6-31G*

Moreover,intramolecular charge transfer(ICT)transition is another factor which can affect the overall solar energy conversion efficiency.The extent of ICT transition is related to the conjugation degree between the donor and the acceptor.As shown in Table 1,the dihedral angles between phenylene(R1)and acceptor in free sensitizersYD1,YD2,andYD3 are 0.38°,2.82°,and 0.45°, respectively,expressing strong conjugation degree between donor and acceptor,indicating that the excited electron could transfer from the electron donor to the electron acceptor successfully.

3.2Electronic structures and molecular orbital energy levels

The energy levels and frontier molecular orbital distributions of YD1－3 before and after binding to(TiO2)9clusters are shown in Fig.S1(in Supporting Information)and Fig.3.The electron distributions of YD2 and YD3 at HOMOs are mainly delocalized on the TTF units while the electron distribution of YD1 at HOMO is delocalized on the whole molecular.The LUMOs of YD1－3 are mainly delocalized on the spacers and acceptor units.This indicates that YD2 and YD3 present a better electron-separated state between HOMO and LUMO than YD1.

The charge transfer orientation is associated with energy levels of the HOMO of the donor and the LUMO of the acceptor,which is an important factor that affects the electron injection efficiency46.Fig.S1 shows that the LUMOs of the three sensitizers are all above and close to the conduction band(CB)of TiO2(－4.0 eV) and the HOMOs of the sensitizers are all located under the redox potential of I－/(－4.8 eV)electrolyte,suggesting that the excited electrons of YD2 and YD3 could inject into TiO2efficiently and the oxidation state of them could get electrons from the redox couple of I－/electrolyte to regenerate.So,on the energy level match,the two sensitizers are appropriate as dye sensitizers for DSSCs.Besides,we can see that for free sensitizers YD2 and YD3,the calculated energy gaps are 2.55 and 2.52 eV,respectively,suggesting that a decrease of 0.58 and 0.61 eV compared with YD1(3.13 eV),which should be ascribe to the introducing of TTF unit.The narrowed band gaps are helpful for excited electron from HOMO to LUMO and broaden the absorption spectrum.

When the sensitizers bind to the(TiO2)9clusters,the LUMO energy decreases sharply while the HOMO energy changes slightly.The electrons transfer from cyanoacrylic acid electron acceptor(free sensitizers)to the(TiO2)9cluster(sensitizers-(TiO2)9complex),leading to the fact that the electron distributions in sensitizers-(TiO2)9at LUMO were delocalized at(TiO2)9clusters. It is the main reason why the LUMO ofYD1-(TiO2)9,YD2-(TiO2)9, and YD3-(TiO2)9decrease sharply and it implies that TiO2cluster has stronger electron-withdrawing ability than the cyanoacrylic acid47.

Fig.3　Frontier molecular orbital distributions of YD1－3 before and after binding to(TiO2)9cluster

3.3Electronic absorption spectra

Solvent effects have been considered as an important factor in DSSCs48,49.Diffirent sensitized solvents for the dyes would considerably affect photovoltaic property of DSSC50.The absorption wavelengths,oscillator strengths,and transition energies ofYD1－3 before and after binding to the(TiO2)9clusters are calculated in vacuum and in five solvents(EtOH,CH2Cl2,CHCl3,CCl4,and dimethylformamide(DMF))through TD-CAM-B3LYP with CPCM calculations.The calculation results of the three sensitizers in vacuum are summarized in Table S1,the absorption spectra properties of YD1－3 before and after binding to(TiO2)9clusters are shown in Fig.4 and Fig.5.

For the simulated absorption spectra in vacuum,compared with YD1,a red-shift of absorption(14 nm)and broader absorption band are found for YD2.Besides,the number of the absorption peaks increases from one to two and the absorption strength also increases intensively.An even more intensive absorption strength and red-shift of absorption are observed when two TTF units are introduced into the triphenylamine core(YD3).Table S1 exhibits the absorption wavelengths,electron transition energies,oscillator strengths,and molecular orbitals assignment of YD1－3.In our opinion,the new absorption peak around 346 nm of YD3 is resulted by the red-shift of the absorption peak 319 nm of YD2, which may be π－π*transitions when the TTF units are introduced. Similarly,the absorption band at 370－450 nm is assigned to the ICT transition.A further investigation of YD1－3 indicates that the absorption peak of YD1 around 363 nm is assigned to the ICT transition from H→L(+93%),the relevant peak for YD2 around 377 nm is mostly due to the ICT transition from H－1→L (+65%),and YD3 around 378 nm mainly occur from H－2→L (+57%)transition.The ICTs of YD2 and YD3 don′t mainly occur from HOMO to LUMO orbital,which is mainly caused by thelimitation between HOMO and LUMO orbital.By analyzing the simulated absorption spectra of the three free sensitizers in vacuum,we can conclude that YD2,which contains one TTF unit,has broader absorption band and higher oscillator strength than YD1. With the increasing number of TTF units are introduced(YD3), the absorption band gets broader and absorption strength increases systematically.

Fig.4　Simulated absorption spectra of sensitizers in vacuum and solvent

The absorption spectra of YD1-(TiO2)9,YD2-(TiO2)9and YD3-(TiO2)9in vacuum are also simulated.Compared with free sensitizers,the absorption spectra of YD1-(TiO2)9,YD2-(TiO2)9,and YD3-(TiO2)9have red shifts about 28,29,and 28 nm,respectively. The main reason may be the narrowed energy gaps which are caused by the sharply decreased LUMOs energy when the three sensitizers bind to(TiO2)9clusters.What's more,the simulated UVVis absorption spectra of free sensitizers YD1－3 and adsorbed sensitizers YD1－3-(TiO2)9in five solvents(EtOH,CH2Cl2,CHCl3, CCl4,and DMF)are shown in Fig.4 and Fig.5.Compared with the absorption spectra in vacuum,the absorption peaks in solvents have red shifted and the absorption bands have further broadened. In addition,it is worthy to note that the simulated absorption spectra in DMF express a superior red-shift compared with others while the absorption spectra in CCl4show the most blue-shift.There are two reasons to explain this phenomenon:First,the different solubilities which is related to the dye aggregation,adsorption mode for the sensitizers would affect the absorption properties50;second,the intermolecular hydrogen bonding interaction between the sensitizers and solvent molecules could also influence the absorption spectra:if the electronic spectral peak shifts to the red due to intermolecular hydrogen bonding,the hydrogen bond in the corresponding electronic excited state will be strengthened;otherwise,an electronic spectral blue-shift will indicate that the intermolecular hydrogen bond is weakened in the corresponding electronic excited state51.

Fig.5　Simulated absorption spectra of YD-(TiO2)9in vacuum and solvent

Table 2　Important optimized bond distance,molecule adsorption energy of YD1-(TiO2)38,YD2-(TiO2)38,and YD3-(TiO2)38by Dmol3calculation

Table 3　Calculated excitation energy(Ev),maximum absorption wavelength(λmax),major assignment,oscillator strength(f), LHE(H=HOMO and L=LUMO),and estimated electrochemical parameters forYD1－3 in DMF

Fig.6　Density of states of bare(TiO2)38,YD1-(TiO2)38, YD2-(TiO2)38,and YD3-(TiO2)38

3.4Adsorption of dyes on(TiO2)38clusters

In order to investigate the effects of auxiliary electron donor on morphologies of the dyes on TiO2surface,sensitizers YD1－3 adsorbed on the(TiO2)38cluster with bidentate bridging mode52were simulated by Dmol3program.The optimized structures of YD1－3 are shown in Fig.S2 and the corresponding data are listed in Table 2.All of the sensitizers show the Ti―O bond distances in the range 0.2130－0.2246 nm and the absorption energies(Eads) of YD1,YD2,and YD3 on TiO2surface were calculated to be 186.77,117.48,and 143.48 kJ·mol－1,respectively.This implies thatYD1－3 could adsorb on theTiO2anatase(101)surface firmly.

Besides,density of states(DOS)for the TiO2and sensitizers-TiO2are shown in Fig.6.As seen in Fig.6,some small peaks in the band gap are observed after the sensitizers adsorbed on the TiO2surface,which could reduce the semiconductor band gap of corresponding TiO2.Moreover,the widths of both VB and CB of the sensitizer-TiO2are broadened,implying a strong coupling of the adsorbate molecular orbital with the substrate bands.The narrowed band gap and the broadened VB and CB are helpful for the transmission of electrons53.Vocis determined by the semiconductor and the redox couple,which could affect the η of the DSSCs to a great extent.And enhancement of the Vocvalue is relevant to the semiconductor band edge toward negative potentials54.From Fig.6, YD2 and YD3 show a more negative potentials shift of CB edge of TiO2compared that of YD1,which means that YD2 and YD3 with TTF units as the auxiliary electron donor should exhibit a higher Vocthan that of YD155.

3.5Photovoltaic performance based on sensitizers YD1－3:factors influencing Jsc

As discussed above,LHE and Φinjectare the two main factors affecting Jsc.Thus,we chose the simulated the UV-Vis spectra of YD1－3 in DMF solution for they could present the best performance among all the five solvents in theory.The corresponding parameters are summarized in Table 3.From Eq.(3),we could know that the high LHE value and Φinjectcould enhance the Jscand then increase the η of DSSCs.As shown in Table 3,the LHE values of the three sensitizers are in range 0.93－0.99 and lay in the order of YD1 YD2>YD1.From the above results,it is reasonable to believe that the DSSC based on YD3 should have a higher Jscfor its superior LHE and higher ΔGinjectcompared with the others.And this also means that TTF units which act as the auxiliary electron donors could improve the Jscof the corresponding sensitizer based DSSCs for its strong electron donor ability.

4　Conclusions

Two novel potential sensitizers(YD2,YD3),which contain triphenylamine as main donor units and different number of tetrathiafulvalene(TTF)units as auxiliary donor,have been designed and studied by DFT and TD-DFT.The DFT and TD-DFT calculation results indicate that the introduction of TTF units as the auxiliary electron donor could not only increase the steric hindrance but also improve the performance of absorption spectra. And they are systematically enhanced with the increasing number of TTF units.Moreover,the estimated LHE,ΔGinjectvalues and DOS calculations indicate that YD2 and YD3 should present a higher Jscand Vocthan YD1 for the presence of TTF units.That is to say,TTF unit is theoretically proved that it could be used as the auxiliary electron donor and play a crucial role in improving theperformance of the corresponding sensitizers based DSSCs in theory.

Supporting Information:The optimized geometries of complexes YD1－3 adsorbed on(TiO2)38(101)surface by DMol3calculation,molecular orbital energy diagram of YD1－3 before and after binding to(TiO2)9clusters and electronic transition configurations,computed excitation energies and oscillator strengths(f)for the optical transitions with f>0.01 of the absorption bands in visible and near UV region for YD1－3 before and after binding to(TiO2)9clusters in vacuum have been included. This information is available free of charge via the internet at http:// www.whxb.pku.edu.cn.

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Theoretical Investigation of Novel Tetrathiafulvalene-Triphenylamine Sensitizers

WENG Xiao-Long1WANG Yan1JIAChun-Yang1,*WAN Zhong-Quan1CHEN Xi-Ming2YAO Xiao-Jun3
(1State Key Laboratory of Electronic Thin Films and Integrated Devices,National Engineering Research Center of Electromagnetic Radiation Control Materials,School of Microelectronics and Solid-State Electronics,University of Electronic Science and Technology of China,Chengdu 610054,P.R.China;2CSR Zhuzhou Electric Locomotive Research Institute Co.Ltd., Zhuzhou 412001,Hunan Province,P.R.China;3State Key Laboratory of Applied Organic Chemistry, School of Chemistry and Chemical Engineering,Lanzhou University,Lanzhou 730000,P.R.China)

Two novel sensitizers with D-D-π-A(YD2)and 2D-D-π-A(YD3)structures were designed by introducing different numbers of tetrathiafulvalene(TTF)unit as the auxiliary electron donor based on the simple D-π-A triphenylamine sensitizer(YD1)to enhance the electron donating ability.The geometries,electronic structures,and optical properties of YD1－3 before and after binding to TiO2clusters were investigated.Owing to introduction of TTF unit,YD2 and YD3 show larger steric hindrance and a narrower band gap than YD1. Moreover,the estimated light-harvesting efficiency(LHE),injection driving force(ΔGinject)values,and density of states(DOS)calculations indicate that YD2 and YD3 should show higher short-circuit photocurrent density (Jsc)and open-circuit photovoltage(Voc)than YD1 with the presence of TTF unit.All of the results indicate that TTF unit can be used as an auxiliary electron donor in organic sensitizers to improve their photovoltaic properties.

Triphenylamine;Tetrathiafulvalene;Sensitizer;Density functional theory;Dye-sensitized solar cell

February 1,2016;Revised:May 3,2016;Published on Web:May 3,2016.

O641

10.3866/PKU.WHXB201605031

*Corresponding author.Email:cyjia@uestc.edu.cn;Tel:+86-28-83201991;Fax:+86-28-83202569.

The project was supported by the National Natural Science Foundation of China,(21572030,21272033,21402023).

國(guó)家自然科學(xué)基金(21572030,21272033,21402023)資助項(xiàng)目

?Editorial office ofActa Physico-Chimica Sinica

［Article］