First-principles study of ferromagnetism in Ti-doped ZnO with oxygen vacancy

Using first-principles density functional calculations, we have investigated the electronic structures of Ti-doped ZnO (Ti is in 4+ oxidation state) with and without oxygen vacancy. The ferromagnetic property is identified in the presence of oxygen vacancy despite Ti being nonmagnetic in its natural phase. The ferromagnetism originates from the charge transferring from donor derived-defect band to unoccupied Ti-3d states and the hybridization between Ti-3d and O-2p band near the Fermi level. On increasing the oxygen vacancy concentration, a transition from a long-ranged magnetic order to a short-ranged interaction is found and the oxygen vacancies prefer to distribute non-uniformly in Ti-doped ZnO.     

Ab-initio calculations of electronic structure and optical properties of TiAl alloy

The electronic structures and optical properties of TiAl intermetallic alloy system are studied by the first-principle orthogonalized linear combination of atomic orbitals method. Results on the band structure, total and partial density of states, localization index, effective atomic charges, and optical conductivity are presented and discussed in detail. Total density of states spectra reveal that (near the Fermi level) the majority of the contribution is from Ti-3d states. The effective charge calculations show an average charge transfer of 0.52 electrons from Ti to Al in primitive cell calculations of TiAl alloy. On the other hand, calculations using supercell approach reveal an average charge transfer of 0.48 electrons from Ti to Al. The localization index calculations, of primitive cell as well as of supercell, show the presence of relatively localized states even above the Fermi level for this alloy. The calculated optical conductivity spectra of TiAl alloy are rich in structures, showing the highest peak at 5.73 eV for supercell calculations. Calculations of the imaginary part of the linear dielectric function show a prominent peak at 5.71 eV and a plateau in the range 1.1-3.5 eV.     

Role of Ti 3d carriers in mediating the ferromagnetism of Co∶TiO2 anatase thin films

We study the surface and bulk electronic structure of the room-temperature ferromagnet Co∶TiO(2) anatase films using soft- and hard-x-ray photoemission spectroscopy with probe sensitivities of ～1 and ～10 nm, respectively. We obtain direct evidence of metallic Ti(3+) states in the bulk, which get suppressed to give a surface semiconductor, thus indicating the difference in electronic structure between surface and bulk. X-ray absorption and resonant photoemission spectroscopy reveal Ti(3+) electrons at the Fermi level (E(F)) and high-spin Co(2+) electrons occurring away from E(F). The results show the importance of the charge neutrality condition: Co(2+)+V(O)(2-)+2Ti(4+)?Co(2+)+2Ti(3+) (V(O) is oxygen vacancy), which gives rise to the elusive Ti 3d carriers mediating ferromagnetism via the Co 3d-O 2p-Ti 3d exchange interaction pathway of the occupied orbitals.     

La-Ce共掺杂锐钛矿TiO2的缺陷形成能和电子结构分析

采用基于密度泛函的第一性原理研究了稀土元素La、Ce共掺杂锐钛矿相TiO₂的缺陷形成能,缺陷电荷转变能级以及电子结构.研究发现,富氧状态下La、Ce掺杂以及La-Ce共掺的缺陷形成能均为负值,而贫氧状态下La、Ce掺杂形成能为正,表明La、Ce的掺杂TiO₂只能在氧气氛制备条件下进行;替代Ti掺杂缺陷电荷转变能级计算结果表明:0/1-的缺陷电荷转变能级分别位于VBM上面0.522 eV及2.440 eV处;与纯锐钛矿相TiO₂相比,La、Ce单掺杂以及La-Ce共掺杂均能减小TiO₂的禁带宽度,但共掺杂体系的禁带宽度更窄,因此共掺杂体系将更有利于提高TiO₂对可见光的响应能力和光催化性能.     

A DFT + U description of oxygen vacancies at the TiO2 rutile (1 1 0) surface

Experimental observations indicate that removing bridging oxygen atoms from the TiO₂ rutile (1 1 0) surface produces a localised state approximately 0.7 eV below the conduction band. The corresponding excess electron density is thought to localise on the pair of Ti atoms neighbouring the vacancy; formally giving two Ti³⁺ sites. We consider the electronic structure and geometry of the oxygen deficient TiO₂ rutile (1 1 0) surface using both gradient-corrected density functional theory (GGA DFT) and DFT corrected for on-site Coulomb interactions (GGA + U) to allow a direct comparison of the two methods. We show that GGA fails to predict the experimentally observed electronic structure, in agreement with previous uncorrected DFT calculations on this system. Introducing the +U term encourages localisation of the excess electronic charge, with the qualitative distribution depending on the value of U. For low values of U (?4.0 eV) the charge localises in the sub-surface layers occupied in the GGA solution at arbitrary Ti sites, whereas higher values of U (?4.2 eV) predict strong localisation with the excess electronic charge mainly on the two Ti atoms neighbouring the vacancy. The precise charge distribution for these larger U values is found to differ from that predicted by previous hybrid-DFT calculations.     

金红石型TiO_2中四种点缺陷态研究

利用第一性原理计算方法研究了金红石型TiO_2中四种缺陷的电子态.这四种缺陷包括氧空位(O_v)、钛空位(Ti_V)、钛间隙(Ti_S)以及氧空位O_v与钛间隙态Ti_S共存态.氧空位的存在导致禁带内施主缺陷能级较浅,而深施主能级与Ti间隙态有关.预测了氧空位更倾向于与钛间隙结合,主要通过钛间隙态的3d电子部分转移到近邻近氧空位的部分形成O_V-Ti_S对缺陷.具有O_v、Ti_S或O_V-Ti_S缺陷的体系都出现间隙态,促进体系出现红外吸收.     

Magnli相亚氧化钛Ti8O15的电子结构和光学性能的第一性原理研究

采用基于密度泛函理论的平面波超软赝势法研究了Magneli相亚氧化钛Ti8O15的电子结构和光学性能.计算出的能带结构显示Ti₈O₁₅相比锐钛型TiO₂禁带宽度大幅度降低.态密度分析表明,其原因在于Ti₈O₁₅的O原子的2p轨道以及Ti原子的3p,3d轨道相对于TiO₂的相应轨道向左产生了偏移,同时由于O原子的缺失使得Ti原子的3d,3p轨道多余电子在Fermi能级附近聚集形成新的电子能级.态密度分析结果还显示,相对于TiO₂,Ti₈O₁₅Fermi能级附近电子格局发生了如下变化:O原子的2p轨道电子贡献减少,Ti原子的3d轨道的电子对Fermi能级贡献增大.光吸收计算图谱表明,TiO₂仅在紫外光区有较高的光吸收能力,而Ti₈O₁₅由于禁带宽度变窄引起光吸收范围红移到可见光区,从而在紫外光区和可见光区都有较高的光吸收能力,计算结果与实验得到的紫外-可见漫反射吸收光谱结果一致.     

Electronic and magnetic properties of Ti(2)O(3), Cr(2)O(3), and Fe(2)O(3) calculated by the screened exchange hybrid density functional

The electronic and magnetic properties of the transition metal sesqui-oxides Cr(2)O(3), Ti(2)O(3), and Fe(2)O(3) have been calculated using the screened exchange (sX) hybrid density functional. This functional is found to give a band structure, bandgap, and magnetic moment in better agreement with experiment than the local density approximation (LDA) or the LDA+U methods. Ti(2)O(3) is found to be a spin-paired insulator with a bandgap of 0.22?eV in the Ti d orbitals. Cr(2)O(3) in its anti-ferromagnetic phase is an intermediate charge transfer Mott-Hubbard insulator with an indirect bandgap of 3.31?eV. Fe(2)O(3), with anti-ferromagnetic order, is found to be a wide bandgap charge transfer semiconductor with a 2.41?eV gap. Interestingly sX outperforms the HSE functional for the bandgaps of these oxides.     

锐钛矿(TiO2)半导体的氧空位浓度对导电性能影响的第一性原理计算

基于低温重氧空位锐钛矿半导体的态密度计算，在同等条件下研究取不同大小模型的锐钛矿做适量浓度的氧空位存在，分别对进入导带的相对平均电子数和氧空位类杂质的散射迁移率进行计算，之后对电导率进行类比，发现锐钛矿半导体的导电性能对适量浓度低的氧空位有利可行得到了证明.同时，低温重氧空位的条件下，锐钛矿半导体的电导率不仅与氧空位浓度有关，而且和进入导带的平均电子数有关，和氧空位散射的电子迁移率有关的正确结论.     

锐钛矿(TiO2)半导体的氧空位浓度对导电性能影响的第一性原理计算

基于低温重氧空位锐钛矿半导体的态密度计算,在同等条件下研究取不同大小模型的锐钛矿做适量浓度的氧空位存在,分别对进入导带的相对平均电子数和氧空位类杂质的散射迁移率进行计算,之后对电导率进行类比,发现锐钛矿半导体的导电性能对适量浓度低的氧空位有利可行得到了证明.同时,低温重氧空位的条件下,锐钛矿半导体的电导率不仅与氧空位浓度有关,而且和进入导带的平均电子数有关,和氧空位散射的电子迁移率有关的正确结论. 关键词： 锐钛矿半导体 氧空位浓度 电导率 第一性原理计算     

含氧空位锐钛矿TiO2光学性质的第一性原理研究

为了研究锐钛矿TiO2晶体中氧宅位对光学性质的影响,利用基于局域密度泛函理论框架下的广义梯度近似平面波超软赝势方法.用第一性原理对含氧空位锐钛矿TiO2晶体进行了结构优化处理.计算了完整的和含氧空位锐钛矿TiO2晶体的电子态密度、复数折射率、介电甬数及吸收光谱的偏振特性.二者比较发现,引入氧空位后,锐钛矿TiO2的电子结构发生了变化,电子总态密度的费米面进入了导带,引起了莫特相变;含氧空位的锐钛矿TiO2晶体的Ti 3d态大约在-6.097 eV处出现了新的劈裂峰值.两种模型的介电函数虚部、吸收光谱以及复折射率的实部,它们的峰值位置一一对应.说明它们之间存在着内在的联系,这些都与电子态密度分布直接相关.理论分析和计算发现二者的介电函数虚部和吸收光谱峰值位置移动是弛豫效应影响的结果,同时,峰值大小变化是电子跃迁的几率来决定的.晶体的各向异性是由晶体结构的对称性决定的.     

锐钛矿相和金红石相Nb:TiO_2电学性质的GGA(+U)法研究

采用基于密度泛函理论第一性原理GGA和GGA+U相结合的方法研究了不同掺杂浓度下锐钛矿相和金红石相Nb:TiO2的晶体结构、电子结构以及稳定性.结果表明:锐钛矿相Nb:TiO2能带结构与简并半导体类似,呈类金属导电机理.金红石相Nb:TiO2呈半导体导电机理.Nb原子比Ti原子电离产生出更多的电子.锐钛矿相Nb:TiO2中Nb原子的电离率比金红石相Nb:TiO2的大.以上结果说明锐钛矿相Nb:TiO2比金红石相Nb:TiO2更适宜用作TCO材料;掺杂浓度对其杂质能级,费米能级和有效质量都有影响.Nb原子掺杂浓度越高,材料电离率呈降低趋势;形成能计算结果显示:在富钛条件下不利于Nb原子的掺杂,而在富氧条件下有利于Nb原子的掺杂.对于金红石相和锐钛矿相Nb:TiO2,不论是在贫氧或富氧条件下,随着Nb原子掺杂浓度的提高,形成能均增大.     

Theoretical study of the effects of vacancy and oxygen impurity on Ti_2GaC

This paper presents the mono-vacancy formation and migration energies of each element Ti, Ga, and C in the MAX phase Ti2GaC, which are obtained by first principles calculations. We also calculate the formation energies of oxygen substituting for Ti, Ga, and C and two formation energies of oxygen interstitial in different sites. The results show that the formation energy of oxygen substituting for Ti is the highest, and the formation energies of the O substitution for Ga atoms decrease as the oxygen concentration increases. The two different formation energies of one oxygen interstitial show that the stable site for the oxygen interstitial is at the center of the triangle composed by three Ga atoms. The effects of vacancy,oxygen substitution, and the interstitial on the electronic properties of Ti2GaC are also discussed in light of the density of states and the electron charge density.     

Magnéli相亚氧化钛Ti8O15的电子结构和光学性能的第一性原理研究

采用基于密度泛函理论的平面波超软赝势法研究了Magnéli相亚氧化钛Ti₈O₁₅的电子结构和光学性能. 计算出的能带结构显示Ti₈O₁₅相比锐钛型TiO₂禁带宽度大幅度降低. 态密度分析表明, 其原因在于Ti₈O₁₅的O原子的2p轨道以及Ti原子的3p, 3d轨道相对于TiO₂的相应轨道向左产生了偏移, 同时由于O原子的缺失使得Ti原子的3d, 3p轨道多余电子在Fermi能级附近聚集形成新的电子能级. 态密度分析结果还显示, 相对于TiO₂, Ti₈O₁₅ Fermi能级附近电子格局发生了如下变化: O原子的2p轨道电子贡献减少, Ti原子的3d轨道的电子对Fermi能级贡献增大. 光吸收计算图谱表明, TiO₂仅在紫外光区有较高的光吸收能力, 而Ti₈O₁₅由于禁带宽度变窄引起光吸收范围红移到可见光区, 从而在紫外光区和可见光区都有较高的光吸收能力, 计算结果与实验得到的紫外-可见漫反射吸收光谱结果一致. 关键词： 第一性原理 8O₁₅')" href="#">Magnéli相亚氧化钛Ti₈O₁₅ 电子结构 光学性能     

Tuning electrochemical potential of LiCoO2 with cation substitution: first-principles predictions and electronic origin

With a goal to improve the performance of LiCoO₂ as a cathode material in Li-ion batteries, we simulate substitution of various elements (X = Be, Mg, Al, Ga, Si and Ti) for Co using first-principles density functional theory and predict changes in its electrochemical potential. While the electrochemical potential of LiCoO₂ is enhanced with substitution of Be, Mg, Al and Ga for Co, an opposite effect is predicted of Si and Ti substitution. We determine the electronic origin of these changes in electrochemical potential using (a) Bader method of topological analysis of charge density, (b) partial density of electronic states to estimate oxidation states of metal and oxygen, and charge re-distribution upon lithiation. We find that the distribution of electronic charge donated by Li is influenced by the nature of the X–O bond. A larger electron transfer to O (in XO₆ octahedron) upon lithiation leads to stronger Li intercalation and thereby higher electrochemical voltage. Our findings provide a platform for a rational design of cathode materials in Li batteries with enhanced voltage.     

Optical properties of anatase and rutile TiO_2 studied by GGA + U

The optical properties of thermally annealed TiO_2 samples depend on their preparation process, and the TiO_2 thin films usually exist in the form of anatase or rutile or a mixture of the two phases. The electronic structures and optical properties of anatase and rutile TiO_2 are calculated by means of a first-principles generalized gradient approximation(GGA) +U approach. By introducing the Coulomb interactions on 3d orbitals of Ti atom(U~d) and 2p orbitals of O atom(U~p), we can reproduce the experimental values of the band gap. The optical properties of anatase and rutile TiO_2 are obtained by means of the GGA+U method, and the results are in good agreement with experiments and other theoretical data. Further, we present the comparison of the electronic structure, birefringence, and anisotropy between the two phases of TiO_2. Finally,the adaptability of the GGA+U approach has been discussed.     

重氧空位对金红石型和锐钛矿型TiO2导电性能影响的模拟计算

基于密度泛函理论框架下的第一性原理平面波超软赝势方法,构建了未掺杂与相同重氧空位金红石型和锐钛矿型TiO_1.9375超胞模型,分别对模型进行了几何结构优化、能带结构分布和态密度分布的计算. 结果表明,氧空位后金红石型和锐钛矿型TiO₂体系体积均变大,同时,锐钛矿型TiO_1.9375超胞的稳定性、迁移率以及电导率均高于金红石型TiO_1.9375超胞. 计算结果和实验结果相一致. 关键词： 重氧空位 2')" href="#">金红石型和锐钛矿型TiO₂ 导电性能 第一性原理     

Theoretical prediction of ion conductivity in solid state HfO2

A theoretical prediction of ion conductivity for solid state HfO2 is carried out in analogy to ZrO2 based on the density functional calculation. Geometric and electronic structures of pure bulks exhibit similarity for the two materials. Negative formation enthalpy and negative vacancy formation energy are found for YSH (yttria-stabilized hafnia) and YSZ (yttria- stabilized zirconia), suggesting the stability of both materials. Low activation energies (below 0.7 eV) of diffusion are found in both materials, and YSH’s is a little higher than that of YSZ. In addition, for both HfO2 and ZrO2 , the supercells with native oxygen vacancies are also studied. The so-called defect states are observed in the supercells with neutral and +1 charge native vacancy but not in the +2 charge one. It can give an explanation to the relatively lower activation energies of yttria-doped oxides and +2 charge vacancy supercells. A brief discussion is presented to explain the different YSH ion conductivities in the experiment and obtained by us, and we attribute this to the different ion vibrations at different temperatures.     

硅铝酸银分子筛吸附氖原子的第一性原理计算

采用基于第一性原理的密度泛函理论(DFT)和局域密度近似(LDA)方法,优化计算硅铝酸银分子筛吸附Ne原子体系的几何结构,能量,电子能带和电荷密度分布。结果表明,硅铝酸银为层状的周期结构,具有直径为a=5.390 Å的孔道。在分子晶体孔道的轴线上,桥O原子附近(I)和表面Ag+离子附近(II)的能量均有利于对Ne原子的吸附。尽管Ne(I)的能量最低,但是SiO4四面体排斥产生的能垒在动力学上不利于Ne原子的吸附。电子能带和电荷分布显示,Ne(II)原子主要受库仑极化的影响,其电子能带的能量较高,Ne(I)原子与桥O原子之间的共价作用能够降低对应的电子能带能量。     

Co,N共掺杂锐钛矿相TiO2电子结构和光学性质的第一性原理研究

二氧化钛(TiO2)作为一种性能优良的光催化剂已经被广泛地研究和使用. 本研究中利用了第一性原理和GGA+U方法, 对锐钛矿结构TiO2晶体三种可能的(Co,N)共掺杂体系的几何结构、形成能、电子结构和光吸收系数进行了研究, 并与单掺杂(Co/N)体系进行了对比. 结果表明, 在三种共掺杂TiO2中, Co与N相邻时晶格畸变最小, 但掺杂原子周围晶格畸变较大;同时, 较低的形成能表明此种共掺杂结构最容易形成;此外, 因为Co与N成键, 其杂质能级的数目与能量较其他共掺杂结构有较大差异. (Co,N)共掺杂体系与未掺杂TiO2的相比, 其禁带宽度较小, 禁带中存在杂质能级, 因此其吸收边红移, 在可见光波段有较好的光吸收能力. 故(Co,N)共掺杂可以很好地提升锐钛矿型TiO2在可见光波段的光催化性能.