Some properties of the phonon spectra of transition metal disilicides VSi2, NbSi2, and TaSi2

The phonon spectra of metallic disilicides VSi₂, NbSi₂, and TaSi₂ have been studied in detail by inelastic neutron scattering at 300 K and specific heat measurements between 10 K and 250 K. The specific heat calculated from the generalised phonon density of states extracted from neutron measurements is in good agreement with the measured lattice contribution to the specific heat. The properties of the phonon spectra are discussed in relation with other data reported for these isostructural and isoelectronic disilicides.     

Phonon and thermal properties of achiral single wall carbon nanotubes

A detailed theoretical study of the phonon and thermal properties of achiral single wall carbon nanotubes has been carried out using force constant model considering up to third nearest-neighbor interactions. We have calculated the phonon dispersions, density of states, radial breathing modes (RBM) and the specific heats for various zigzag and armchair nanotubes, with radii ranging from 2.8 Å to 11.0 Å. A comparative study of phonon spectrum with measured Raman data reveals that the number of Raman active modes for a tube does not depend on the number of atoms present in the unit cell but on its chirality. Calculated phonon modes at the zone center more or less accurately predicted the Raman active modes. The radial breathing mode is of particular interest as for a specific radius of a nanotube it is found to be independent of its chirality. We have also calculated the variation of RBM and G-band modes for tubes of different radii. RBM shows an inverse dependence on the radius of the tube. Finally, the values of specific heat are calculated for various nanotubes at room temperature and it was found that the specific heat shows an exponential dependence on the diameter of the tube.     

Lattice vibrational properties of TmTe

We have investigated the lattice dynamical properties of a TmTe compound by using a breathing shell model suitable for this compound. The calculated phonon dispersion curves (PDC) reveal that this compound does not show any anomaly in their phonon properties. Our results on PDC, phonon density of states and lattice specific heat reveal that the phonon properties of this compound are like the other rare earth chalcogenides, particularly Eu-chalcogenides. We emphasize the need of measurements of the complete PDC of TmTe to support the present results on the calculated phonon properties.     

TATB晶体声子谱及比热容的第一性原理研究

利用第一性原理并结合vd W-DF2范德瓦耳斯力校正研究了TATB(C6H6O6N6)晶体声子谱及比热容.采用冷冻声子法计算了TATB晶体声子谱和声子态密度,发现在2.3 THz附近TATB声子态密度最大,证实了太赫兹光谱实验观察到的2.22 THz附近的强吸收峰.基于声子态密度研究了振动模式对比热容的贡献,分析结果表明,常温下0—27.5 THz频段振动模式贡献了比热容的93.7%.同时比较了升温过程中振动模式对比热容的贡献,指出TATB热分解的引发键是C—NO_2键断裂的可能性更大.     

Interlayer vacancy effects on the phonon modes in AB stacked bilayer graphene nanoribbon

We explore the effects of interlayer vacancy defects on the vibrational properties of Bernal (AB) stacking bilayer armchair graphene nanoribbons (BiAGNRs) using the forced vibrational method. It is observed that the Raman active longitudinal optical (LO) phonon of BiAGNR is shifted downward with the decrease of the ribbon width and an increase of the vacancy concentrations. We find that vacancies induce some new peaks in the low frequency regime of the phonon density of states. Our calculated typical mode patterns elucidate that the localized transverse optical phonon at the K-point is shifted towards the defect sites from the edges with increased vacancy concentrations. In addition, the impact of defect induced phonon modes on the specific heat capacity and thermal conductivity of BiAGNRs are discussed. These results present a new way of understanding the heat dissipation phenomena of graphene-based high-performance nanodevices and to clarify the Raman and the experiments related to the phonon properties.     

Phonon spectrum boron nitrideof single-wallednanotubes

Based on a force constant model, we investigated the phonon spectrum and then specific heat of single-walled boron nitride nanotubes. The results show that the frequencies of Raman and infrared active modes decrease with increasing diameter in the low frequency, which is consistent with the results calculated by density functional theory. The fitting formulae for diameter and chirality dependence of specific heat at 300K are given.     

Magnon-TA phonon interaction and the specific heat during the premartensitic transformation in ferromagnetic Ni2MnGa

From the basic spin electron-phonon coupling, we deduced the magnon-TA phonon interaction in the Ni₂MnGa alloy instead of the magnetoelastic coupling between the magnetization and the amplitude of the TA phonon and suggested that the premartensitic transformation (PT) can be driven by the one-magnon-one-TA phonon interaction. Based on the established interaction Hamiltonian, the specific heat varying with the temperature has been calculated and the specific heat anomaly at the PT temperature has been predicated to make a great contribution to the latent heat during the PT because of the strong magnon-phonon interaction. The PT latent heat has been evaluated to be about 5 J/mol which is in agreement with the experimental results measured [Planes et al. Phys. Rev. Lett. 79 (1997) 3926].     

Investigate the effect of anisotropic order parameter on the specific heat of anisotropic two-band superconductors

The effect of anisotropic order parameter on the specific heat of anisotropic two-band superconductors in BCS weak-coupling limit is investigated. An analytical specific heat jump and the numerical specific heat are shown by using anisotropic order parameters, and the electron–phonon interaction and non-electron–phonon interaction. The two models of anisotropic order parameters are used for numerical calculation that we find little effect on the numerical results. The specific heat jump of MgB₂, Lu₂Fe₃Si₅ and Nb₃Sn superconductors can fit well with both of them. By comparing the experimental data with overall range of temperature, the best fit is Nb₃Sn, MgB₂, and Lu₂Fe₃Si₅ superconductors.     

Lattice dynamics of MgO at high pressure: theory and experiment

The longitudinal acoustic and optical phonon branches along the Gamma-X direction of MgO at 35 GPa have been determined by inelastic x-ray scattering using synchrotron radiation and a diamond-anvil cell. The experimentally observed phonon branches are in remarkable agreement with ab initio lattice dynamics results. The derived thermodynamic properties, such as the specific heat CV and the entropy S are in very good accord with values obtained from a thermodynamically assessed data set involving measured data on molar volume, heat capacity at constant pressure, bulk modulus and thermal expansion.     

Rigorous results for two-dimensional random phonon systems

We present some rigorous sharp lower and upper bounds for the integrated phonon density of states and for the phonon specific heat of various types of two-dimensional disordered systems of masses and springs which are placed on triangular lattices. The bounds are given by quadrature formulas involving the first moments of the underlying probability distribution. We compare the results obtained for random systems up to the fourth order in moments with exact expressions corresponding to ordered systems with the same dimension and lattice structure.     

First-principles study of the anisotropic thermal expansion of hcp metals Be and Y

A first-principles study of the anisotropic thermal expansion of hcp metals Be and Y is reported. According to quasiharmonic approximation, the phonon spectra were computed at a set of lattice parameters using the pseudopotential plane wave method with the local density approximation in the framework of the density functional perturbation theory. The free energies were obtained according to the calculated phonon spectra and thermal properties such as specific heat at constant volume (pressure) were calculated. The electronic contribution to specific heat was found important to metal Y not only at very low temperature but also over room temperature. The calculated results are in good agreement with available experimental data in a wide range of temperature.     

石墨带的晶格动力学研究

基于晶格动力学理论,采用力常数模型,计算了石墨带的声子色散关系、振动模式密度和比热.计算结果表明,石墨带的声子谱特征介于一维碳纳米管和二维石墨片之间.扶手椅型和锯齿型石墨带的中、高频声子支分别与锯齿型和扶手椅型碳纳米管的类似.由于声子限域效应,低频声子支随着石墨带带宽的改变出现明显的频移现象.振动模式密度在高频区几乎不敏感于带宽,而低频区的峰位随着带宽的增加而逐渐向低频移动.此外,无论是在低温还是高温,比热都随着带宽的增加而逐渐降低,呈现量子尺寸效应.在300K时,比热可以拟合成C_V=C_Vg+A/n,其中C_Vg为石墨片的热容,而A/n项反映了石墨带中边缘效应对比热的影响. 关键词： 石墨带 声子色散关系 比热     

单壁碳纳米管声子谱及比热计算

利用卷曲法计算了有限长单壁碳纳米管的声子色散关系．讨论了单壁碳纳米管的比热随管径、温度的变化趋势．结果表明碳管的比热随温度、管径的增大而增大,并逐渐趋于一恒定数值．根据色散关系的计算结果,给出了有限长（5,5）型单壁碳纳米管的振动模式以及部分振动模式的频率随长度的变化关系． 关键词： 碳纳米管 声子 比热     

Specific heat of graphene nanoribbons

We studied the specific heat of graphene nanoribbons (GNRs) using an extended force constant model. We found that at low temperature, the specific heat decreases, and its variation with temperature increases with increasing GNR width. However, the specific heat increases with increasing GNR width after crossing a chaotic region. Free boundary conditions, -CHOH-terminated and armchair-edge-induced phonon nondegeneracy, shift and distortion and localized vibrational modes significantly influence GNR specific heat compared with periodic boundary conditions and bare and zigzag edges in GNRs. Finally, we found a uniform expression for specific heat vs. width at every temperature except for the chaotic region.     

Moments of the phonon spectrum in lithium and rubidium halides from specific heat data

The moments of the phonon spectrum in lithium and rubidium halides are estimated from the experimental specific heat data and they are compared with the theoretically calculated moments using the shell model of lattice dynamics.     

An accurate determination of the excess low temperature heat capacity of a superconducting metallic glass

The specific heat of an amorphous superconductor Zr₃Rh (T_{c = 4.3 K}) has been measured in the temperature range from 0.35 K to 10 K and with an applied magnetic field of 75 kG. The high field suppresses superconductivity and allows accurate determination of the phonon (βT³) term for the lowest temperatures studied. A careful subtraction of the normal electronic specific heat (γT) and phonon terms reveals a well defined excess linear heat capacity γ'T at low temperature. This excess term is attributed to localized lattice excitations using the two-level tunneling defect model of Phillips.     

On the low-temperature anomalies of specific heat in disordered carbon nanotubes

The low-temperature behavior of the specific heat in disordered nanotubes strongly depends on structure changes and is not explained by the phonon contribution. Expression for electronic specific heat is carried out taking into account the multiple elastic electron scattering on impurities and structural inhomogeneities of short-range order type. The calculated electronic specific heat depends on diameter of nanotube, concentration of impurities, parameters of short-range order (structural heterogeneity) and describes the peculiarities of low-temperature behavior of specific heat observed in disordered CNT.     

Lost heat capacity and entropy in the helical magnet MnSi

The heat capacity of MnSi at B = 0 and B = 4 T was measured in the temperature range 2.5-100 K. To analyze the data, calculations of the phonon spectrum and phonon density of states in MnSi were performed. The calculated phonon frequencies were confirmed by means of inelastic neutron scattering. The analysis of the data suggests the existence of negative contributions to the heat capacity and entropy of MnSi at T > T(c) that may imply a specific ordering in the spin subsystem in the paramagnetic phase of MnSi.     

铝纳米颗粒的热物性及相变行为的分子动力学模拟

采用分子动力学方法模拟了纳米金属铝在粒径为0.8-3.2 nm 时的熔点、密度和声子热导率的变化, 研究了粒径为1.6 nm的铝纳米颗粒的密度、比热和声子热导率随温度的变化. 采用原子嵌入势较好地模拟了纳米金属铝的热物性及相变行为, 根据能量-温度曲线和比热容-温度曲线对铝纳米颗粒的相变温度进行了研究, 并利用表面能理论、尺寸效应理论对铝纳米颗粒熔点的变化进行了分析. 随着纳米粒径的不断增大, 铝纳米颗粒的熔点呈递增状态, 当粒径在2.2-3.2 nm时, 熔点的增幅减缓, 但仍处于递增趋势. 随着纳米粒径的增大, 铝纳米颗粒的密度呈单调递减, 热导率则呈线性单调递增, 且热导率的变化情况符合声子理论. 随着温度的升高, 粒径为1.6 nm的铝纳米颗粒的密度、热导率均减小. 该模拟从微观原子角度对纳米材料的热物性进行了研究, 对设计基于铝纳米颗粒的相变材料具有指导意义.     

铁砷超导体比热特征的理论和实验比较研究

以海森堡相互作用模型为基础,系统分析了铁砷超导体自旋密度波的反铁磁表现形态,计算了长波近似条件下的内能和比热等理论值,比较讨论了与实验结果的符合情况及其相应意义,表明自旋密度波理论在较低温度下基本能够描述铁砷超导体的有关特征.详细分析讨论了电子和声子在不同低温区对比热的贡献,与实验结果进行了比较.