石墨烯力常数和弹性波波速随温度变化规律研究

在哈里森键联轨道法框架下,考虑到原子的短程相互作用和原子的非简谐振动,建立石墨烯弹性模型并求出原子振动的简谐系数和非简谐系数。在此基础上,确定了石墨烯的力常数和弹性波波速随温度和形变势参量的变化关系式,探讨了原子非简谐振动对它们的影响。结果表明：（1）石墨烯的力常数和弹性波波速均随温度升高而非线性减小,但有不同的变化特征：在C11、C12、C44这三个力常数中,以C12随温度的变化最大,以C44的变化最小;纵波波速随温度的变化要大于横波;（2）石墨烯的三个力常数随形变势参量的变化有不同的特征：C11随η和γ的增大而增大、而C12则随η的增大而减小,随γ的增大而增大;C44随η的增大而增大,而几乎不随γ而变;（3）若不考虑原子振动的非简谐项,则石墨烯的力常数和弹性波波速均为常数。考虑到非简谐项后,不仅它们均随温度的升高而减小,而且,非简谐情况的力常数Cij和弹性波波速vi与简谐近似的值Cij0、vi0的差|Cij－Cij0|、|vi－vi0|均随温度的升高而增大,即温度愈高,非简谐效应愈显著。     

石墨烯力常数和弹性波波速随温度变化规律研究

在哈里森键联轨道法框架下,考虑到原子的短程相互作用和原子的非简谐振动,建立石墨烯弹性模型并求出原子振动的简谐系数和非简谐系数。在此基础上,确定了石墨烯的力常数和弹性波波速随温度和形变势参量的变化关系式,探讨了原子非简谐振动对它们的影响。结果表明：（1）石墨烯的力常数和弹性波波速均随温度升高而非线性减小,但有不同的变化特征：在C11、C12、C44这三个力常数中,以C12随温度的变化最大,以C44的变化最小;纵波波速随温度的变化要大于横波;（2）石墨烯的三个力常数随形变势参量的变化有不同的特征：C11随η和γ的增大而增大、而C12则随η的增大而减小,随γ的增大而增大;C44随η的增大而增大,而几乎不随γ而变;（3）若不考虑原子振动的非简谐项,则石墨烯的力常数和弹性波波速均为常数。考虑到非简谐项后,不仅它们均随温度的升高而减小,而且,非简谐情况的力常数Cij和弹性波波速vi与简谐近似的值Cij0、vi0的差|Cij－Cij0|、|vi－vi0|均随温度的升高而增大,即温度愈高,非简谐效应愈显著。     

石墨烯力常数和弹性波波速随温度变化规律研究

在哈里森键联轨道法框架下,考虑到原子的短程相互作用和原子的非简谐振动,建立石墨烯弹性模型并求出原子振动的简谐系数和非简谐系数.在此基础上,确定了石墨烯的力常数随温度和形变势参量的变化关系式,以及弹性波波速随温度和形变势参量的变化关系式,并探讨了原子非简谐振动对它们的影响.结果表明:(1)石墨烯的力常数和弹性波波速均随温度升高而非线性减小,但有不同的变化特征:在C_(11)、C_(12)、C_(44)这三个力常数中,以C_(12)随温度的变化最大,以C_(44)的变化最小;纵波波速随温度的变化要大于横波;(2)石墨烯的三个力常数随形变势参量的变化有不同的特征:C_(11)随η和γ的增大而增大、而C_(12)则随η的增大而减小,随γ的增大而增大;C_(44)随η的增大而增大,而几乎不随γ而变;(3)若不考虑原子振动的非简谐项,则石墨烯的力常数和弹性波波速均为常数.考虑到非简谐项后,不仅它们均随温度的升高而减小,而且,非简谐情况的力常数C_(ij)和弹性波波速v_i与简谐近似的值C_(ij)~0、v_i~0的差|C_(ij)-C_(ij)~0|、|v_i-v_i~0|均随温度的升高而增大,即温度愈高,非简谐效应愈显著.     

外延石墨烯电导率和费米速度随温度变化规律研究

考虑到原子的非简谐振动和电子-声子相互作用,建立了金属基外延石墨烯的物理模型,用固体物理理论和方法,得到金属基外延石墨烯的电导率和费米速度随温度变化的解析式.以碱金属基底为例,探讨了基底材料和非简谐振动对外延石墨烯电导率和费米速度的影响.结果表明:1)零温情况下,碱金属基外延石墨烯的电导率和费米速度均随基底元素原子序数的增大而增大;2)外延石墨烯的电导率随温度升高而减小,其中,温度较低时时变化较快,而温度较高时则变化很慢,费米速度随温度升高而增大,其变化率随基底材料原子序数的增大而增大;3)原子非简谐振动对外延石墨烯的电导率和费米速度有重要的影响,简谐近似下,费米速度为常数,电导率的温度变化率较大;考虑到原子非简谐项后,费米速度随温度升高而增大,电导率的温度变化率减小;温度愈高,原子振动的非简谐效应愈明显.     

非简谐振动对SiC的热膨胀系数数和介电性能的影响

利用抛物型电子能谱模型,考虑到原子的非简谐振动,求出了SiC中原子振动的简谐系数与非简谐系数,用固体物理理论和方法,得到了SiC的热膨胀系数和格林乃森参量以及介电常数随温度变化的解析式,探讨了原子非简谐振动对的影响。结果表明：的格林乃森参量和热膨胀系数均随温度升高而非线性增大,而介电常数随温度升高而非线性减小;原子振动的非简谐项（特别是第二非简谐项）对的热膨胀等热学性质和介电性能有重要影响,温度愈高,非简谐振动项的影响愈大。     

非简谐振动对SiC的热膨胀系数和介电性能的影响

利用抛物型电子能谱模型,考虑到原子的非简谐振动,求出了SiC中原子振动的简谐系数与非简谐系数,用固体物理理论和方法,得到了SiC的热膨胀系数和格林乃森参量以及介电常数随温度变化的解析式,探讨了原子非简谐振动的影响.结果表明:SiC的格林乃森参量和热膨胀系数均随温度升高而非线性增大,而介电常数随温度升高而非线性减小;原子振动的非简谐项(特别是第二非简谐项)对SiC的热膨胀等热学性质和介电性能有重要影响,温度愈高,非简谐振动项的影响愈大.     

非简谐振动对SiC类石墨烯热输运性质的影响

考虑到原子的非简谐振动,应用固体物理理论和方法,计算了SiC类石墨烯的简谐系数和非简谐系数,得到它的德拜温度、热容量和热导率等随温度的变化规律,探讨了原子非简谐振动对它的热输运性质的影响.结果表明:SiC类石墨烯的德拜温度随温度的升高而在117-126 K之间线性增大,定容比热随温度升高而非线性增大,热导率随温度升高而非线性减小,温度较低时变化较快,而温度较高时变化较慢,并随着温度升高而趋于常量;考虑到非简谐振动后,SiC类石墨烯的德拜温度、定容比热和热导率的值分别大于、小于和大于简谐近似的相应值,温度愈高,其差值愈大,即温度愈高,非简谐效应的影响愈显著;二维平面状的SiC类石墨烯的定容比热和热导率随温度的变化规律,与三维块状SiC晶体总体趋势相同,只是具体数值不同.     

非简谐振动对SiC类石墨烯热输运性质的影响

考虑到原子的非简谐振动,应用固体物理理论和方法,计算了SiC类石墨烯的简谐系数和非简谐系数,得到它的德拜温度、热容量和热导率等随温度的变化规律,探讨了原子非简谐振动对它的热输运性质的影响.结果表明:SiC类石墨烯的德拜温度随温度的升高而在117-126 K之间线性增大,定容比热随温度升高而非线性增大,热导率随温度升高而非线性减小,温度较低时变化较快,而温度较高时变化较慢,并随着温度升高而趋于常量;考虑到非简谐振动后,SiC类石墨烯的德拜温度、定容比热和热导率的值分别大于、小于和大于简谐近似的相应值,温度愈高,其差值愈大,即温度愈高,非简谐效应的影响愈显著;二维平面状的SiC类石墨烯的定容比热和热导率随温度的变化规律,与三维块状SiC晶体总体趋势相同,只是具体数值不同.     

石墨烯低温热膨胀和声子弛豫时间随温度的变化规律

考虑到原子非简谐振动和电子-声子相互作用,用固体物理理论和方法研究了石墨烯格林艾森参量和低温热膨胀系数以及声子弛豫时间随温度的变化规律,探讨了原子非简谐振动项对它们的影响.结果表明:1)在低于室温的温度范围内,石墨烯的热膨胀系数为负值,随着温度的升高,其热膨胀系数的绝对值单调增加,室温热膨胀系数为-3.64×10~(-6)K~(-1);2)简谐近似下的格林艾森参量为零.考虑到非简谐项后,格林艾森参量在1.40-1.42之间并随温度升高而缓慢增大,几乎成线性关系,第二非简谐项对格林艾森参量的影响小于第一非简谐项;3)石墨烯声子弛豫时间随着温度的升高而减小,其中,温度很低(T10 K)时变化很快,此后变化很慢,当温度不太低(T300 K)时,声子弛豫时间与温度几乎成反比关系.     

传感器电解质材料热膨胀性能和热稳定性变化规律研究

以ZrO2固体电解质材料为例,研究氧传感器电解质材料原子振动特点和热膨胀系数及其热稳定性随温度和时间的变化规律,探讨原子非简谐振动的影响。结果表明：原子振动的频率、阻尼系数,在简谐近似下为常数,在考虑到非简谐效应后随温度升高而增大;原子平均位移和热膨胀系数在简谐近似下为零,在考虑到非简谐效应后随温度升高而增大,随的时间的增长而减小;热膨胀性能稳定性温度系数随温度的升高而减小,随时间的增长而增大,即使用时间越长,材料的热膨胀性能稳定性越低;温度越高,热膨胀性能越稳定;非简谐情况下的原子振动的频率、阻尼系数和热膨胀系数与简谐近似下的差值随温度的升高而增大,即温度越高,非简谐效应越显著。     

Alternating current characterization of nano-Pt(Ⅱ)octaethylporphyrin(PtOEP) thin film as a new organic semiconductor

Alternating current(AC) conductivity and dielectric properties of thermally evaporated Au/Pt OEP/Au thin films are investigated each as a function of temperature(303 K–473 K) and frequency(50 Hz–5 MHz).The frequency dependence of AC conductivity follows the Jonscher universal dynamic law.The AC-activation energies are determined at different frequencies.It is found that the correlated barrier hopping(CBH) model is the dominant conduction mechanism.The variation of the frequency exponent s with temperature is analyzed in terms of the CBH model.Coulombic barrier height Wm,hopping distance Rω,and the density of localized states N(EF) are valued at different frequencies.Dielectric constant ε_1(ω,T) and dielectric loss ε_2(ω,T) are discussed in terms of the dielectric polarization process.The dielectric modulus shows the non-Debye relaxation in the material.The extracted relaxation time by using the imaginary part of modulus(M')is found to follow the Arrhenius law.     

Elastic,vibrational, and thermodynamic properties of Sr_(10)(PO_4)_6F_2 and Ca_(10)(PO_4)_6F_2 from first principles

The electronic, elastic, vibrational, and thermodynamic properties of Sr_(10)(PO_4)_6F_2(Sr-FAP) and Ca_(10)(PO_4)_6F_2(CaFAP) are systematically investigated by the first-principles calculations. The calculated electronic band structure indicates that the Sr-FAP and Ca-FAP are insulator materials with the indirect band gap of 5.273 eV and 5.592 eV, respectively. The elastic constants are obtained by the "stress–strain" method, and elastic modulus are further evaluated and discussed. The vibrational properties, including the phonon dispersion curves, the phonon density of states, the Born effective charge, and associated longitudinal optical and transverse optical(LO–TO) splitting of optical modes, as well as the phonon frequencies at zone-center are obtained within the linear-response approach. Substitution of Ca by Sr causes phonon frequencies to shift to lower values as expected due to the mass effect. Additionally, some phonon-related thermodynamic properties, such as Helmholtz free energy F, internal energy E, entropy S, and specific heat C_V of Sr-FAP and Ca-FAP are predicted with the harmonic approximation. The present calculated results of two apatites are consistent with the reported experimental and theoretical results.     

正交相Fe2(MoO4)3的制备与表征及其负膨胀行为的第一性原理研究

采用水热合成法制备出Fe₂(MoO₄)₃样品, 并用高温X-射线衍射、热重和差示扫描量热同步热分析仪对其进行表征, 发现样品在510 ℃附近发生低温单斜相和高温正交相之间的可逆相变, 且正交相表现出负膨胀特征. 采用第一性原理计算了正交相Fe₂(MoO₄)₃ 的原子、电子结构以及声子谱、声子态密度, 并和可获得的实验结果进行了系统的比较. 结果显示正交相Fe₂(MoO₄)₃中MoO₄四面体较之FeO₆八面体具有更强的刚性. 发现最低频的光学支处具有最负的格林乃森(Grüneisen)系数, MoO₄四面体和FeO₆ 八面体相连的桥氧原子的横向振动、FeO₆八面体柔性扭曲转动以及MoO₄四面体的刚性翻转共同导致了Fe₂(MoO₄)₃负膨胀现象的发生.     

Phonon Dispersion and Thermodynamics Properties of CaF2 via Shell Model Molecular Dynamics Simulations

The phonon and thermodynamics properties of face-centered cubic CaF2 at high pressure and high temperature are investigated by using the shell model interatomic pair potential within General Utility Lattice Program （GULP）. The phonon dispersion curves and the corresponding density of state （PDOS） in this work are consistent with the experimental data and other theoretical results. The transverse optical （TO） and longitudinal optical （LO） mode splitting as well as heat capacity at constant volume Cv and entropy S versus pressure and temperature are also obtained.     

Size-dependent phonon transmission across dissimilar material interfaces

In this paper, we study the size effects on the phonon transmission across material interfaces using the atomistic Green's function method. Layered Si and Ge or Ge-like structures are modeled with a variety of confined sizes in both transverse and longitudinal directions. The dynamical equation of the lattice vibration (phonon waves) is solved using the Green's function method and the phonon transmission is calculated through the obtained Green's function. Phonon transmission across a single interface of semi-infinite Si and Ge materials is studied first for the validation of the methodology. We show that phonon transmission across an interface can be tuned by changing the mass ratio of the two materials. Multi-layered superlattice-like structures with longitudinal size confinement are then studied. Frequency-dependent phonon transmission as a function of both the number of periods and the period thickness is reported. A converged phonon transmission after ten periods is observed due to the formation of phonon minibands. Frequency-dependent phonon transmission with transverse size confinement is also studied for the interface of Si and Ge nanowire-like structures. The phonon confinement induces new dips and peaks of phonon transmission when compared with the results for a bulk interface. With increasing size in the transverse direction, the phonon transmission approaches that of a bulk Si/Ge interface.     

Soliton Excitations in the Compressible Heisenberg Spin Chain: A General Approach

A general approach is given for the nonlinear excitations in the compressible Heisenberg ferromagnetic chain in coherent-state representation. It is shown that the relative ratio of ε to δ is very important for determining the nonlinear modified terms of the equations of motion. ε = 1√S (S is the spin length) and δ = α/λ₀ (α is the lattice constant and λ₀ is the characteristic wavelength of the excitations) are two small dimensionless parameters used in the semiclassical approximation and in the long wavelength approximation, respectively. In the case of δ = O(ε), the reduced equations of motion are solved exactly and spin soliton and elastic kink solutions are obtained. The other cases of the relation between δ and ε are also discussed and the solitary wave solutions are also given. The result obtained by Ferrer, as a special case, has been included in our approach.     

研究堆慢正电子源构建中的关键机理问题

研究堆慢正电子源是获得高强度慢正电子束流的有效方式,国际上己建成多座装置并获得广泛应用.与常规同位素慢正电子源相比,研究堆慢正电子源的物理过程复杂,影响末端束流强度的因素众多,对其进行深入研究与合理建模是未来在中国绵阳研究堆(CMRR)上构建慢正电子源的基础.本文厘清了研究堆慢正电子产生的关键过程与物理机理,建立了预测末端正电子束流强度的理论模型,找到了影响其末端强度的主要物理量:快正电子体产生率、慢化体有效表面积、慢化体扩散距离、慢正电子从表面被提取到靶环末端的效率、及束流系统提取效率.用多种实验结果对模型进行校验,包括多个同位素慢正电子源的效率测量值,以及PULSTAR研究堆慢正电子源测量结果,充分验证了模型正确性.根据模型对各物理量的影响因素进行了分析,找到了需着重关注的影响因素,对未来源/靶结构的设计给出建议.     

The Effective Hamiltonian for Nonleptonic Decay with Possible mt >mw and the ΔI=1/2 Rule1

The effective Hamiltonian for nonleptonic decays of strange, charm and beauty, involving the QCD corrections at short distances but with possible t-quark mass m_t > mw and a correction of the initial value for the renormalization group equations, is computed in the framework of the operator product expansion (OPE). The numerical results show that our calculation gives corrections in right direction for approaching to the Δ1=1/2 rule and if using the latest experimental measurements on δ and ε'/ε for system as input, the KM parameter ε₂² would be constrained in a reasonable region (2.5～22.5)×10^-3.     

点缺陷浓度对非化学计量比L12型结构的A13Sc弹性性能的影响

采用密度泛函理论与Wagner-Schottky热力学模型计算了金属间化合物L1₂-A1₃Sc中点缺陷浓度与温度、成分间的关系. 结果表明: 在考察的温度区间(T=300-1200 K), 理想化学计量比L1₂-A1₃Sc中的点缺陷主要为Al空位和Sc空位, 且缺陷浓度较低(在1200 K时仅约为10^-6). 当L1₂-A1₃Sc偏离化学计量比成分时, 富Al成分端的点缺陷主要为Al反位与Sc空位, 且两种缺陷的浓度相当; 富Sc成分端的点缺陷则主要为Sc反位. 利用超胞模型进一步计算了含点缺陷L1₂-A1₃Sc晶体的弹性常数, 并计算预测了点缺陷形式和浓度对其弹性性能的影响. 结果表明: 在理想化学计量比成分附近, 点缺陷的引入均会降低非化学计量比L1₂-Al₃Sc晶体的杨氏、剪切和体积弹性模量, 增加非化学计量比L1₂-Al₃Sc弹性性能的各向异性, 但是对其脆-韧性的影响不大.