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Determining Hubbard U of VO_(2) by the quasi-harmonic approximation
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作者 孔龙娟 陆雨航 +2 位作者 庄新莹 周志勇 胡振芃 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期623-630,共8页
Vanadium dioxide VO_(2) is a strongly correlated material that undergoes a metal-to-insulator transition around 340 K.In order to describe the electron correlation effects in VO_(2), the DFT+U method is commonly emplo... Vanadium dioxide VO_(2) is a strongly correlated material that undergoes a metal-to-insulator transition around 340 K.In order to describe the electron correlation effects in VO_(2), the DFT+U method is commonly employed in calculations.However, the choice of the Hubbard U parameter has been a subject of debate and its value has been reported over a wide range. In this paper, taking focus on the phase transition behavior of VO_(2), the Hubbard U parameter for vanadium oxide is determined by using the quasi-harmonic approximation(QHA). First-principles calculations demonstrate that the phase transition temperature can be modulated by varying the U values. The phase transition temperature can be well reproduced by the calculations using the Perdew–Burke–Ernzerhof functional combined with the U parameter of 1.5eV. Additionally,the calculated band structure, insulating or metallic properties, and phonon dispersion with this U value are in line with experimental observations. By employing the QHA to determine the Hubbard U parameter, this study provides valuable insights into the phase transition behavior of VO_(2). The findings highlight the importance of electron correlation effects in accurately describing the properties of this material. The agreement between the calculated results and experimental observations further validates the chosen U value and supports the use of the DFT+U method in studying VO_(2). 展开更多
关键词 quasi-harmonic approximation vanadium dioxide first-principles calculation Hubbard U
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结构近似分析中的二次位移假定
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作者 黄吉锋 《计算力学学报》 CAS CSCD 1999年第1期79-86,共8页
本文提出结构近似分析中的“二次位移假定”方法,并详细讨论了二次位移假定在有限元位移法中的实施。该假定主要功能是可以对问题进行合理的降阶,使大型结构分析的精度和速度得以兼顾,其次,它还可用于实现组合结构中结构形式突变处... 本文提出结构近似分析中的“二次位移假定”方法,并详细讨论了二次位移假定在有限元位移法中的实施。该假定主要功能是可以对问题进行合理的降阶,使大型结构分析的精度和速度得以兼顾,其次,它还可用于实现组合结构中结构形式突变处的连续性。广泛用于高层建筑分析中的刚性楼板假定和刚体转换层假定,都是二次位移假定的特例。目前本法已在特殊多高层分析程序TBSAP中实现,取得了良好的效果。 展开更多
关键词 假定 近似法 二次位移假定 结构分析 建筑结构
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热-力耦合原子-连续关联模型的框架及其算法 被引量:3
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作者 李辉 崔俊芝 李博文 《应用数学和力学》 CSCD 北大核心 2015年第4期343-351,共9页
对热-力耦合的原子-连续关联模型进行了系统研究,给出了计及热-力耦合行为的金属微-纳米构件内材料的瞬态弹性常数,应力、应变、比热容等物理量的具体计算公式及其算法.利用原子运动中的"结构形变"部分来研究微-纳米尺度下多... 对热-力耦合的原子-连续关联模型进行了系统研究,给出了计及热-力耦合行为的金属微-纳米构件内材料的瞬态弹性常数,应力、应变、比热容等物理量的具体计算公式及其算法.利用原子运动中的"结构形变"部分来研究微-纳米尺度下多晶原子团簇的非均匀结构变形.将原子团簇晶格结构的变形与连续体的变形关联起来,在准简谐近似假设下,推导出依赖于微观结构变形和热振动的自由能密度、熵密度、内能密度表达式,从而给出了微-纳米尺度下的瞬态热-力学参数. 展开更多
关键词 原子-连续关联(ACC)模型 准简谐近似假设 自由能密度 比热容
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First-principles calculations of structural and thermodynamic properties of β-PbO 被引量:1
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作者 Vahedeh Razzazi Sholeh Alaei 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第11期393-399,共7页
We employed ab-initio calculations to investigate the structural and thermodynamic properties of Massicot or orthorhombic phase of PbO named β-PbO using the projector augmented-wave(PAW) method within the generaliz... We employed ab-initio calculations to investigate the structural and thermodynamic properties of Massicot or orthorhombic phase of PbO named β-PbO using the projector augmented-wave(PAW) method within the generalized gradient approximation(GGA). The temperature and pressure dependence of bulk modulus, heat capacity at constant pressure and constant volume, entropy, thermal expansion coefficient and Grüneisen parameter were discussed. Accuracy of two different models, the Debye and Debye-Grüneisen which are based on the quasi-harmonic approximation(QHA) for producing thermodynamic properties of material were compared. According to calculation results, these two models can be used to designate thermodynamic properties for β-PbO with sensible accuracy over a wide range of temperatures and pressures, and our work on the properties of this structure will be useful for more deeply understanding various properties of this structure. 展开更多
关键词 β-PbO first-principles calculations quasi-harmonic approximation thermodynamic properties
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Temperature-induced phase transition of two-dimensional semiconductor GaTe
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作者 王啸宇 王雪 +3 位作者 邹洪帅 付钰豪 贺欣 张立军 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第1期428-433,共6页
GaTe is a two-dimensional Ⅲ-Ⅵ semiconductor with suitable direct bandgap of~1.65 eV and high photoresponsivity,which makes it a promising candidate for optoelectronic applications.GaTe exists in two crystalline phas... GaTe is a two-dimensional Ⅲ-Ⅵ semiconductor with suitable direct bandgap of~1.65 eV and high photoresponsivity,which makes it a promising candidate for optoelectronic applications.GaTe exists in two crystalline phases:monoclinic(m-GaTe,with space group C2/m) and hexagonal(h-GaTe,with space group P63/mmc).The phase transition between the two phases was reported under temperature-varying conditions,such as annealing,laser irradiation,etc.The explicit phase transition temperature and energy barrier during the temperature-induced phase transition have not been explored.In this work,we present a comprehensive study of the phase transition process by using first-principles energetic and phonon calculations within the quasi-harmonic approximation framework.We predicted that the phase transition from h-GaTe to m-GaTe occurs at the temperature decreasing to 261 K.This is in qualitative agreement with the experimental observations.It is a two-step transition process with energy barriers 199 meV and 288 meV,respectively.The relatively high energy barriers demonstrate the irreversible nature of the phase transition.The electronic and phonon properties of the two phases were further investigated by comparison with available experimental and theoretical results.Our results provide insightful understanding on the process of temperature-induced phase transition of GaTe. 展开更多
关键词 two-dimensional semiconductor GaTe temperature-induced phase transition first-principles calculation quasi-harmonic approximation
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Wave Equation Decomposition in 3-D TTI Media
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作者 Liang Kai Wu Guo-chen +1 位作者 Yin Xing-yao Bai Xiao-yin 《石油地球物理勘探》 EI CSCD 北大核心 2009年第A02期21-30,共10页
关键词 波动方程 TTI 媒体 三维 分解 各向异性介质 弹性波方程 色散关系
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Nucleation and growth of L1_(2)-Al_(3)RE particles in aluminum alloys:A first-principles study
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作者 Touwen Fan Zixiong Ruan +5 位作者 Feng Zhong Chaoyang Xie Xiaofeng Li Dongchu Chen Pingying Tang Yuanzhi Wu 《Journal of Rare Earths》 SCIE EI CAS CSCD 2023年第7期1116-1126,I0005,共12页
The internal mechanisms of nucleation and growth of L1_(2)-AI_(3)RE(RE=Sc,Y,La-Lu) second phases in Al alloys were investigated by combining first-principles calculations with quasi-harmonic approximation(QHA).The cal... The internal mechanisms of nucleation and growth of L1_(2)-AI_(3)RE(RE=Sc,Y,La-Lu) second phases in Al alloys were investigated by combining first-principles calculations with quasi-harmonic approximation(QHA).The calculated results show that the diffusion rate D_s and chemical potential AG_V increase with the increase of temperature.With the increase of atomic number,the D_s and the strain energy ΔE_(CS)increase firstly from Sc to La,and then decreases,while the calculated interface energy γ_(α/β) and ΔG_V show opposite tendency.Based on above calculated results,the critical nucleation radius R*and coarsening rate K_(LSW) are obtained from the classical nucleation theory(CNT) and LSW model of the Ostwald ripening of particles,respectively.With the increase of atomic number,the R*increases firstly,and then decreases for all planes at finite temperatures.Whereas the K_(LSW) shows opposite variation to the R^(*).From this point of view,it is reasonably speculated that Y and later RE elements can replace the expensive Sc for heat-resistance Al alloys.The solubility c_(∞) of particles is usually very small at low temperature,and there is obvious solubility only when the temperature reaches 600 K.The surface energies E_(sur) of AI_(3)RE compounds and Al solid solution are respectively larger and smaller than that of pure Al,respectively,except for the surface(001) and(110) of Al_(3)La.For all planes,with the increase of atomic number of RE,E_(sur) decreases firstly from Sc to La,and then increases linearly to Lu.These results are helpful for designing high performance heat-resistance Al alloys. 展开更多
关键词 First-principles calculations Diffusion rate quasi-harmonic approximation Particle nucleation and growth Rare earths
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Synthesis,formation mechanism,and intrinsic physical properties of several As/P-containing MAX phases
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作者 Hongxiang Chen Sheng Li +6 位作者 Jun Deng Zhilong Zhang Jianeng Huang Fa Chang Li Huang Shixuan Du Pinqiang Dai 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2023年第2期23-31,共9页
321 phases are an atypical series of MAX phases,in which A=As/P,with superior elastic properties,fea-turing in the MA-triangular-prism bilayers in the crystal structure.Until now,besides Nb 3 As 2 C,the pure phases of... 321 phases are an atypical series of MAX phases,in which A=As/P,with superior elastic properties,fea-turing in the MA-triangular-prism bilayers in the crystal structure.Until now,besides Nb 3 As 2 C,the pure phases of the other 321 compounds have not been realized,hampering the study of their intrinsic prop-erties.Here,molten-salt sintering(MSS)and solid-state synthesis(SSS)were applied to synthesize As/P-containing 321 phases and 211 phases.Analyzing the phase composition of the end-product via multiple-phase Rietveld refinement,we found that MSS can effectively improve the purity of P-containing MAX phases,with the phase content up to 99%in Nb_(3)P_(2)C and 75.4(5)%in Nb 2 PC.In contrast,MSS performed poorly on As-containing MAX phases,only 8.9(4)%for Nb 3 As 2 C and 64(2)%for Nb 2 AsC,as opposed to the pure phases obtained by SSS.The experimental analyses combined with first-principles calculations reveal that the dominant formation route of Nb_(3)P_(2)C is through NbP+Nb+C→Nb_(3)P_(2)C.Moreover,we found that the benefits of MSS on P-containing MAX phases are on the facilitation of three consid-ered chemical reaction routes,especially on Nb 2 PC+NbP→Nb_(3)P_(2)C.Furthermore,the intrinsic physical properties and Fermi surface topology of two 321 phases consisting of electron,hole,and open orbits are revealed theoretically and experimentally,in which the electron carriers are dominant in electrical trans-port.The feasible synthesis methods and the formation mechanism are instructive to obtain high-purity As/P-containing MAX phases and explore new MAX phases.Meanwhile,the intrinsic physical properties will give great support for future applications on 321 phases. 展开更多
关键词 MAX phase Molten-salt synthesis Chemical reaction route Metallic ceramics Formation mechanism quasi-harmonic approximation
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狭义相对论的前提与全速域狭义相对论理论模型的构建原则
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作者 任晓敏 《北京邮电大学学报》 EI CAS CSCD 北大核心 2015年第3期13-27,共15页
基于笔者提出的弥聚子论的基本概念及其中对于主要反映超高速领域物质运动与时空之间关系的爱因斯坦狭义相对论(或称"高速狭义相对论")的尝试性拓展——预言了有可能显著存在于超低速领域的低速狭义相对论效应乃至有可能显著... 基于笔者提出的弥聚子论的基本概念及其中对于主要反映超高速领域物质运动与时空之间关系的爱因斯坦狭义相对论(或称"高速狭义相对论")的尝试性拓展——预言了有可能显著存在于超低速领域的低速狭义相对论效应乃至有可能显著存在于超高速和超低速领域、同时涉及介于两者之间的常速领域的全速域狭义相对论效应,对爱因斯坦狭义相对论的前提进行了评述、质疑与修正,其要点包括:第一,指出了爱因斯坦在"以狭义相对性原理为前提"的名义下所做推导的前提超出了纯粹意义上的狭义相对性原理,它实际上隐含了独立且具有潜在局限性的"伽利略极限契合原理"和"线性时空变换假设";第二,指出了依据对电磁波运动的考察和狭义相对性原理而得出的光速不变原理在其意义和作用方面存在一定的局限性,而通过对实物体运动的考察则有可能获得等价于光速不变原理或较之更具普遍意义的能够作为狭义相对论前提的原理,从而有可能更深刻、更充分地反映狭义相对论效应的物理本质乃至引发狭义相对论的变革;第三,区分了光速不变原理与"固有常数光速个例性原理",指出了狭义相对性原理不仅寓于相关时空变换表达式的高度对称性之中,还必寓于其他与物理过程相关的原理之中;第四,依据前期研究成果对狭义相对论的前提进行了更新,即扬弃了光速不变原理并代之以先前提出的实物体运动存在速度上限和下限的"双极限速原理"及与之孪生的"双极限速质量-速度关联原理",并指出了在笔者所期待的狭义相对论的变革中恰当运用"伽利略极限契合原理"或将其推广为"洛仑兹极限契合原理"乃至推广为扬弃具体极限情形的"一般性极限契合原理"以及放弃"线性时空变换假设"转而依循"时空变换数学形式的开放性原则"的必要性.在此基础上,通过在上限速单极近似下引入质量-速度关联原理,重新推导出了爱因斯坦狭义相对论中的洛仑兹变换关系式,明确了以质量-速度关联原理取代光速不变原理的推演步骤,并使得"光速不变"(或"上限速度不变")在爱因斯坦狭义相对论中由前提蜕变为推论.继之,分别给出了上限速单极近似和下限速单极近似下质量-速度关系的唯象推导过程,并明确了低速狭义相对论和全速域狭义相对论时空变换关系式的构建原则.这一工作使得全速域狭义相对论完备理论模型的建立又向前推进了一步. 展开更多
关键词 弥聚子论 狭义相对论 低速狭义相对论 全速域狭义相对论 狭义相对性原理 光速不变原理 固有常数光速个例性原理 双极限速原理 上限速单极近似 下限速单极近似 质量-速度关联原理 时空变换 伽利略变换 洛仑兹变换 伽利略极限契合原理 洛仑兹极限契合原理 一般性极限契合原理 线性时空变换假设 时空变换数学形式的开放性原则
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