第一性原理计算高压下金红石TiO2的结构不稳定性及热学性质

采用第一性原理计算研究了金红石TiO2结构在高压下的不稳定性及热力学性质. 计算的高压下结构参数和零压的声子色散曲线与实验数据十分吻合. 进一步模拟了在不同压力下的声子曲线,在压力下,声子曲线不断软化,？点附近的振动频率不断减小直至虚频,意味着结构的不稳定,根据计算的不同压力下的弹性常数获得了其力学不稳定性,结果表明金红石结构TiO2在压力高于17.7 GPa时变得不稳定. 根据准谐近似,获得了金红石TiO2结构的热力学性质,计算结果与现有的实验数据相一致。     

Lattice vibrations in cubic, tetragonal, and monoclinic phases of ZrO2

First principles calculations of the phonon dispersion relations and the phonon density of states for three zero-pressure zirconia phases are presented. The phonon dispersion relations of the tetragonal and monoclinic phases do not exhibit the imaginary frequencies, contrary to the cubic phase for which the imaginary soft mode is seen. For tetragonal and monoclinic phases the free energies versus temperature are calculated in harmonic approximation. They cross at 1560 K indicating the phase transition.     

Family behaviour of Raman-active phonon frequencies of single-wall nanotubes of C, BN and BC3

Using a symmetry-based force-constant model of the lattice dynamics, the Raman-active phonon frequencies are calculated for almost 200 single-wall nanotubes of C, BN and BC(3). The n+m=constant family behaviour is found in most branches and these three kinds of nanotubes display different diameter and chirality dependence in different branches. In these branches, vibration modes that C, BN and BC(3) nanotubes have in common are presented in detail. For a particular family, the phonon frequency at Gamma point changes regularly with the chiral angle. Therefore, we may distinguish among single-wall nanotubes with similar diameter and different chiral angle.     

Thermal stabilities of homopolymers of amino acids

In order to study the thermal stabilities of the α-helical polyamino acids in the solid state, measurements of the infrared spectra at high temperature, weight loss by thermogravimetry, and the expansion of the α-helix by x-ray diffractometry were carried out on poly(γ-methyl D -glutamate), poly(γ-benzyl L -glutamate), poly-L -alanine, poly(β-benzyl L -aspartate), poly-δ-carbobenzoxy-L -ornithine and poly-ε-carbobenzoxy-L -lysine. The thermal degradation temperatures of these polymers lie between 140°C and 230°C. The α-helical conformation is stable at high temperature in these polyamino acids, except for poly(β-benzyl L -asparatate), unless thermal degradation takes place. As temperature rises, the amide A and the amide I bands of the infrared spectra shift slightly to higher frequencies and the amide II band to lower frequencies. At the same time, the intensities of these amide bands decrease. These changes differ among the different molecules. From the x-ray measurement, it was found that the α-helix expands along the helical axis with temperature. It is expected that the intramolecular hydrogen bonds of the α-helix become weak with increasing temperature and that the state of the hydrogen bonds of the α-helices depends upon the molecules.     

First‐principles calculations on thermodynamic properties of BaTiO3 rhombohedral phase

The calculations based on the linear combination of atomic orbitals have been performed for the low‐temperature phase of BaTiO₃ crystal. Structural and electronic properties, as well as phonon frequencies were obtained using hybrid PBE0 exchange–correlation functional. The calculated frequencies and total energies at different volumes have been used to determine the equation of state and thermal contribution to the Helmholtz free energy within the quasiharmonic approximation. For the first time, the bulk modulus, volume thermal expansion coefficient, heat capacity, and Grüneisen parameters in BaTiO₃ rhombohedral phase have been estimated at zero pressure and temperatures form 0 to 200 K, based on the results of first‐principles calculations. Empirical equation has been proposed to reproduce the temperature dependence of the calculated quantities. The agreement between the theoretical and experimental thermodynamic properties was found to be satisfactory. © 2012 Wiley Periodicals, Inc.     

氧离子导体La2Mo2O9中α→β相变非等温动力学的研究

以差热分析(differential thermal analysis,DTA)为手段研究了La2Mo2O9中α→β相变的非等温动力学。采用Flynn-Wall-Ozawa法计算了不同转化分数下的相变活化能E,并用Ozawa迭代法对E值进行了修正。应用Criado-Ortega法获得了α-La2Mo2O9→β-La2Mo2O9相变各温度区间的动力学机理函数,并用譒atava-譒esták法进行了验证。结果表明:La2Mo2O9中α→β相变的表观活化能与转化分数有关,说明该相变不属于一步简单反应。不同温度区间α→β相变的动力学机理函数不同,836～840K、842～848 K和850～853 K的动力学机理函数G(x)可依次表示为:-ln(1-x)、[-ln(1-x)]2/3、[-ln(1-x)]3/4。     

Lattice dynamics of single-bonded cubic nitrogen

The first principle calculations of the lattice dynamical properties of the single-bonded cubic nitrogen were performed using the density-functional perturbation theory together with plane-wave expansion and nonlocal pseudopotentials. The equilibrium structure of the single-bonded cubic nitrogen was first evaluated via the minimization of the total energy. Then, the harmonic phonon dispersion curves and the density of phonon states of the single-bonded cubic nitrogen have been evaluated within the linear-response framework. Furthermore, the heat capacity, enthalpy, free energy, entropy and velocity of sound of the single-bonded cubic nitrogen were calculated.     

Ground states of the Mo2, W2, and CrMo molecules: a second and third order multireference perturbation theory study

The potential energy curves of the molecules Mo(2), W(2), and CrMo have been studied ab initio using large basis sets and the "n-electron valence state perturbation theory" up to the third order in the energy. The third order results for Mo(2) and W(2) reproduce the equilibrium distances r(e) and the harmonic frequencies omega(e) in fairly good accordance with the experimental values but tend to underestimate the dissociation energy. The CrMo molecule, for which experimental dissociation energy data do not exist yet, is predicted to have a value for D(e) of approximately 2.5 eV.     

First‐principles modeling of hafnia‐based nanotubes

Hybrid density functional theory calculations were performed for the first time on structure, stability, phonon frequencies, and thermodynamic functions of hafnia‐based single‐wall nanotubes. The nanotubes were rolled up from the thin free layers of cubic and tetragonal phases of HfO₂. It was shown that the most stable HfO₂ single‐wall nanotubes can be obtained from hexagonal (111) layer of the cubic phase. Phonon frequencies have been calculated for different HfO₂ nanolayers and nanotubes to prove the local stability and to find the thermal contributions to their thermodynamic functions. The role of phonons in stability of nanotubes seems to be negligible for the internal energy and noticeable for the Helmholtz free energy. Zone folding approach has been applied to estimate the connection between phonon modes of the layer and nanotubes and to approximate the nanotube thermodynamic properties. It is found that the zone‐folding approximation is sufficiently accurate for heat capacity, but less accurate for entropy. The comparison has been done between the properties of TiO₂, ZrO₂, and HfO₂. © 2017 Wiley Periodicals, Inc.     

Kinetik und Mechanismus der α/β-Umwandlung von Li2ZnGe

Kinetics and Mechanism of the α/βαTransformation of Li₂ZnGe The α/β-transformation of Li₂ZnGe was investigated by differential thermal analysis under nearly isothermal conditions. The possible mechanisms of solid state reactions are represented using the integrated and differentiated kinetic equations. For the investigation of DTA curves soft ware is developed to calculate the activation parameters and to find an adequate kinetic equation. A mechanism for the α/β-transformation of Li₂ZnGe is proposed and discussed.     

First-principles study of structural,elastic, electronic and vibrational properties of BiCoO3

We used density functional theory (DFT) to study the structural, elastic, electronic, and lattice dynamical properties of tetragonal BiCoO₃ applying the “norm-conserving” pseudopotentials within the local spin density approximation (LSDA). The calculated equilibrium lattice parameters and atomic displacements are in agreement with the available experimental and theoretical results. Moreover, the structural stability of tetragonal BiCoO₃ were confirmed by the calculated elastic constants. In addition, the elastic properties of polycrystalline aggregates including bulk, shear and Young's moduli, and Poisson's ratio are also determined. The electronic band structure, total and partial density of states (DOS and PDOS) with ferromagnetic spin configuration are obtained. The results show that tetragonal BiCoO₃ has an indirect band gap with both up- and down-spin configurations and its bonding behavior is of covalent nature. We compute Born effective charge (BEC) which is found to be quite anisotropic of Bi, Co and O atoms. The infrared and Raman active phonon mode frequencies at the Г point are found. The phonon dispersion curves exhibit imaginary frequencies which lead from the high-symmetry tetragonal phase to low-symmetry rhombohedral phase in BiCoO₃. The six independent elastic constants, including bulk, shear and Young's moduli, and Poisson's ratio, complete BEC tensor and phonon dispersion relations in tetragonal BiCoO₃ are predicted for the first time. Results of the calculations are compared with the existing experimental and theoretical data.     

氮化锗多形体的四方、单斜和正交畸变的理论研究

采用量子化学从头算方法,对Ge_3N_4的四方、单斜和正交结构同质异相体的微结构、态密度和声子谱进行了研究.形成焓为负值、弹性常数满足Born稳定性准则和声子谱无虚频等结果证实在0~20 GPa范围内3种相都能保持结构稳定.温度变化影响到晶胞体积,从而使体模量发生改变.3种Ge_3N_4都属于半导体,Ge原子和N原子之间存在明显的s-p杂化现象.当压强增大时诱发了离域电子,从而使体系的带隙减小.本文还采用准谐近似对Ge_3N_4的热力学性质进行了研究,结果表明,温度和压强对热膨胀系数、熵、热容、德拜温度和格林爱森参数产生了明显影响.m-Ge_3N_4和t-Ge_3N_4的热膨胀系数分别为o-Ge_3N_4的3倍和2倍.t-Ge_3N_4和o-Ge_3N_4的晶格谐振频率基本不受温度的影响.     

Estimation of second-order derivative thermodynamic properties using the crossover cubic equation of state

In this research, we apply the crossover cubic equation of state (XCubic EOS) [1] to the calculations of thermodynamic second-order derivative properties (isochoric heat capacity, isobaric heat capacity, isothermal compressibility, thermal expansion coefficient, the Joule–Thomson coefficient, and speed of sound). This equation of state is used to calculate those properties of pure systems (carbon dioxide, normal alkanes from methane to propane). We show that, over a wide range of states, the equation of state yields each property with a much better accuracy than the original PT equation of state and near the critical region, represents the singular behaviour well.     

Ab initio calculation of structural,lattice dynamical,and thermal properties of cubic silicon carbide

We present first-principles calculations of the structural, lattice dynamical, and thermal properties as well as Raman results for cubic silicon carbide (3C SiC). The plane-wave pseudopotential approach to density functional theory (DFT ) in the local density approximation has been used to calculate the equilibrium properties of 3C SiC, i.e., the ground-state energy, the band structure, the valence electron density, the lattice constant, the bulk modulus, its pressure derivative, and the ionicity factor of the chemical bonds. The linear-response theory within DFT has been used to obtain the phonon frequencies, the eigenvectors, and the mean-square atomic displacements. Furthermore, we calculated the mode Grueisen parameters, the internal-strain parameter, the elastic constants, the Born effective charge, and the high-frequency dielectric constant. The specific heat at constant volume and at constant pressure, the thermal expansion coefficient, the temperature dependence of the lattice constant, and that of the isothermal and adiabatic bulk modulus have been derived within the quasi-harmonic approximation. Finally, the second-order Raman spectrum of 3C SiC has been calculated using phenomenological polarizability coefficients and ab initio frequencies and eigenvectors. © 1995 John Wiley & Sons, Inc.     

石墨炔与锡烯层状体系的形变势和电声耦合及载流子传输理论研究

我们对sp + sp²杂化的碳同素异形体—石墨炔,以及锡烯等层状体系的电子结构、形变势、电声耦合和电荷输运性质进行了回顾。有些二维石墨炔具有类似石墨烯的狄拉克锥,同时石墨炔电子结构可通过将其沿不同方向裁剪成不同宽度一维纳米带来调节。采用玻尔兹曼输运方程和形变势近似,结合第一性原理计算,我们预测石墨炔电荷载流子室温迁移率可达10⁴–10⁵ cm²·V^-1·s^-1,尤其6, 6, 12-石墨炔,因有两个狄拉克锥及比石墨烯弱的电声耦合,其室温迁移率甚至能高于石墨烯。因此具有独特电子结构和高迁移率的石墨炔能成为继石墨烯之后未来的纳米电子器件材料。此外我们着重分析了形变势方法的适用性：密度泛函微扰理论和瓦尼尔插值技术能精确计算任意波矢和模式的声子对载流子散射,该方法在石墨烯和石墨炔上的运用表明二维平面碳材料中对载流子输运起主导作用的是长波长纵声学声子散射,因而形变势方法是适用的;但通过对锡烯等二维非平面buckling结构的材料声子散射和迁移率的计算,发现此类不具备σ_h对称性的材料有较强的面外声子散射和横声学声子谷间散射,使得常用的形变势失效。     

Thermal stability of ester linkage in the presence of 1,2,3‐Triazole moiety generated by click reaction

The copper(I)‐catalyzed alkyne‐azide cycloaddition (CuAAC), so‐called “click” reaction, is one of most useful synthetic strategies to connect two polymer chains. 1,2,3‐Triazole ring (TA) produced by the click reaction has good thermal and chemical stability. However, we observed that block copolymers synthesized by the click reaction showed thermal degradation to give homopolymers when they are thermally annealed at high temperature, which is required for obtaining equilibrium microdomain structure. To investigate the origin of thermal instability of block copolymers, we synthesized model polystyrenes (PSs) using systematically designed bi‐functional atom transfer radical polymerization (ATRP) initiators containing TA. PS including both ester and TA groups showed thermal decomposition at relatively low temperature (e.g., 140 °C). MALDI‐TOF analysis clearly demonstrated that the cleavage site is the ester group adjacent to TA. We also found that the bromine group located at the polymer chain end plays an important role in pyrolysis of ester groups at low temperature. The pyrolysis occurs by syn‐elimination of the ester group. This result implies that the phase behavior of block copolymer synthesized by click reaction should be carefully investigated when high temperature thermal annealing is required. © 2016 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2017 , 55, 427–436     

Vibrational and thermodynamic properties of β-HMX: a first-principles investigation

Thermodynamic properties of β-HMX crystal are investigated using the quasi-harmonic approximation and density functional theory within the local density approximation (LDA), generalized gradient approximation (GGA), and GGA + empirical van der Waals (vdW) correction. It is found that GGA well describes the thermal expansion coefficient and heat capacity but fails to produce correct bulk modulus and equilibrium volume. The vdW correction improves the bulk modulus and volume, but worsens the thermal expansion coefficient and heat capacity. In contrast, LDA describes all thermodynamic properties with reasonable accuracy, and overall is a good exchange-correlation functional for β-HMX molecular crystal. The results also demonstrate significant contributions of phonons to the equation of state. The static calculation of equilibrium volume for β-HMX differs from the room-temperature value incorporating lattice vibrations by over 5%. Therefore, for molecular crystals, it is essential to include phonon contributions when calculated equation of state is compared with experimental data at ambient condition.     

氮化硼纳米管热输运性能的分子动力学模拟

采用基于声子散射理论的Boltzmann-Peierls声子传输方程(BTE)和非平衡态分子动力学模拟(NEMD)方法研究了氮化硼纳米管(BNNT)的热输运性能.分析了BNNT的热力耦合效应,通过BTE与NEMD两种方法相结合,分析了温度和长度对BNNT热输运性能的影响,并应用量子修正扩大了NEMD的研究范围.结果表明:随着拉伸或压缩应变的增加,BNNT热输运性能均呈降低的趋势.通过计算声子态密度(PDOS)在理论上分析了以上结果,发现在拉伸状态下,声子模式的变化是决定BNNT热输运性能变化的主要因素;在压缩状态下,热导率变化是由于模型发生明显的屈曲变形引起的.在低温段,BNNT的热输运性能受量子效应影响最初有一个线性增加的过程,当温度超过一定值时,其开始显著地降低;当BNNT长度小于120nm时,随着长度的增加,其弹道性能逐渐减弱,但仍主要体现为弹道特征,其热导率(κ)与长度(L)基本满足κ∝Lα这一关系.     

Numerical properties of equations involving high-order derivatives of pressure with respect to volume

This paper presents some unexpected features related to the solution of equations containing a high-order derivative of pressure with respect to volume equated to zero. For pure components, such equations define, in the pressure-temperature plane, nodal curves similar in shape to mixture spinodal curves. The analysis was made for a general form of two-parameter cubic equations of state and various numerical aspects for the Redlich-Kwong equation of state are exemplified.