传感器多孔电极材料原子振动随温度变化规律研究  

On the Law of Atomic Vibration of Sensor Porous Electrode Material with Temperature

作　　者：李雪 程正富[2] 伏春平[2] 郑瑞伦[2] 周明军 LI Xue;CHENG Zhengfu;FU Chunping;ZHENG Ruilun;ZHOU Mingjun(School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;School of Electronic Information and Electrical Engineering, Chongqing University of Arts and Science, Chongqing 402160, China;The 49th Research Institute of China Electronics Technology Corporation, Harbin 150001, China)

机构地区：[1]重庆邮电大学理学院,重庆400065 [2]重庆文理学院电子电气工程学院,重庆402160 [3]中国电子科技集团公司第四十九研究所,哈尔滨150001

出　　处：《西南师范大学学报（自然科学版）》2021年第9期57-64,共8页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市自然科学基金面上项目(cstc2020jcyj-msxmX0920);国防工局可靠性项目(JSZL2014210B007);重庆文理学院研究生科研项目(M2019 ME13).

摘　　要：建立了氧传感器多孔电极材料的物理模型并求出原子振动的简谐系数和非简谐系数,应用固体物理理论和方法,得到多孔电极材料原子振动频率、阻尼系数与温度的关系,研究了原子对平衡位置的位移随温度和时间以及颗粒半径的变化规律,探讨了孔隙度和原子非简谐振动对它的影响.结果表明:①振动频率随温度升高而线性增大,表面原子的振动频率总小于体内原子;②原子的振动振幅随时间的增长而按负指数规律减小,减小的程度取决于受到的阻尼.阻尼系数随温度升高而增大,体内阻尼系数大于表面,是表面的1.414倍;③原子对平衡位置的位移随温度升高而增大,随时间的增长而按负指数规律减小,随着平均半径值的增大而非线性减小.孔隙度愈大,颗粒线度愈小,原子对平衡位置的位移愈大;④原子非简谐振动项对Pt电极材料原子的振动有重要影响:简谐近似下,原子振动频率和振幅均为恒量,与温度无关;考虑到非简谐项后,振动频率和振幅均随颗粒半径的增大和温度的升高而变.温度越高、孔隙度越大、颗粒半径越小,非简谐与简谐近似的差值愈大,即非简谐效应愈显著.A physical model of the porous electrode material of the oxygen sensor has been established and the simple and anharmonic coefficients of atomic vibration been obtained.Then,with solid physics theory and methods,the relationship has been obtained between the atomic vibration frequency,damping coefficient and temperature of the porous electrode material.Furthermore,the law of the displacement of the atom to the equilibrium position with temperature/time/the particle radius is also studied.Finally,the effects of porosity and atomic anharmonic vibration on it are discussed.The results show that,①The vibration frequency increases linearly with increasing temperature,and the surface atom's vibration frequency is always smaller than the internal atoms;②With the increase of time,the vibration amplitude of atoms decreases according to the law of negative exponent,and the degree of its decrease depends on the damping.As the temperature increases,the damping coefficient increases,and the internal damping coefficient is greater than the surface,which is 1.414 times the surface;③As the temperature increases,the displacement of the atom to the equilibrium position increases;with the increase of time,it decreases according to the negative exponential law,and with the increase of the average radius,it decreases nonlinearly.In other words,the greater the porosity,the smaller the particle linearity,and the greater the displacement of the atom to the equilibrium position;④The atomic anharmonic effect has an important effect on the vibration of the Pt electrode material atom:Under the simple harmonic effect,the atomic vibration frequency and amplitude are constant,which is independent of temperature;under the anharmonic effect,the vibration frequency and amplitude both change with the increase of the particle radius and the temperature.In short,as the temperature is higher,the porosity is larger,and the particle radius is smaller,the greater the difference between the value of anharmonic effect and the harmonic,which means

关 键 词：多孔电极 原子的平均位移 阻尼系数 非简谐效应 孔隙度 

分 类 号：O469[理学—凝聚态物理]