考虑原子纵向位移单原子链横向振动压电控制
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摘要
近年来,随着纳米制造业的发展,一维材料因其优异的物理性能,广泛应用于各类力电光热纳米器件。基于弦振动理论研究了考虑原子纵向位移的单原子链纳米线横向振动控制方法,针对单原子链类弦结构,采用模态叠加法,建立了单原子链横向振动的动力学方程,提出了一种单原子链横向振动固有角频率的计算方法,并得到了轴向力控制电压量子极限。考虑原子链的边界条件与振动结构的对称性,利用非线性方程组的迭代方法,得到原子的纵向位移。研究发现:纳米线轴向张力与链的长度是影响单原子链纳米线的固有角频率和共振频率的主要因素,通过控制单原子链两端的压电块轴向位移,可以改变原子链的轴向张力和单原子链的长度,从而改变原子链的固有频率。研究为单原子链谐振器和滤波器等分子器件研发制造提供理论基础和计算方法。
In recent years,with the development of nano manufacturing,one-dimensional materials are widely used in all kinds of electric thermal nano device for their excellent physical properties. The lateral vibration control of the monatomic chains considering atomic longitudinal displacement was studied with the theory of the vibration of strings. The lateral vibration modes of the monatomic chain were assumed as the modes of string vibration. The vibration equation of string of the monatomic chains was established based on the assumptions. A method was proposed to calculate natural angular frequency of the transverse vibration of monatomic chains. The tension of the quantum limitation was given which can distinguish the NEMS and QEMS by the thermal occupation number. The coordinates of the position of the vibration atoms can be calculated by utilizing the boundary conditions and the symmetry conditions of the monatomic chain. The natural angular frequency and resonant frequency of the monatomic chain string are associated with the axial tension acted on the string and the length of monatomic chain,and they can be altered by changing the length of the string and the tension acted on the string.
In recent years,with the development of nano manufacturing,one-dimensional materials are widely used in all kinds of electric thermal nano device for their excellent physical properties. The lateral vibration control of the monatomic chains considering atomic longitudinal displacement was studied with the theory of the vibration of strings. The lateral vibration modes of the monatomic chain were assumed as the modes of string vibration. The vibration equation of string of the monatomic chains was established based on the assumptions. A method was proposed to calculate natural angular frequency of the transverse vibration of monatomic chains. The tension of the quantum limitation was given which can distinguish the NEMS and QEMS by the thermal occupation number. The coordinates of the position of the vibration atoms can be calculated by utilizing the boundary conditions and the symmetry conditions of the monatomic chain. The natural angular frequency and resonant frequency of the monatomic chain string are associated with the axial tension acted on the string and the length of monatomic chain,and they can be altered by changing the length of the string and the tension acted on the string.
引文
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[3]ZHU J W,SHI D N.The integrated effects of temperature and stress on the formation of carbon linear atomic chains from graphene nanorib-bons[J].Journal of Applied Physics,2011,110(110):104311-104311.
[4]HUANG X M H,ZORMAN C A,MEHREGANY M,et al.Nanodevice motion at microwave frequencies[J].Nature,2003,421(6922):496-496.
[5]CHASTE J,SLEDZINSKA M,ZDROJEK M,et al.Highfrequency nanotube mechanical resonators[J].Applied Physics Letters,2012,99(21):213502-213502.
[6]李昕欣.基于分子间作用力的敏感效应与痕量检测生化传感器[J].中国科学:技术科学,2015,45:687-704.LI Xinxin.Sensing effects and trace-level bio/chemical sensors based on molecular interaction induced nanomechanical force[J].Scientia Sinica Technologica,2015,45:687-704.
[7]GAIDARZHY A,ZOLFAGHARKHANI G,BADZEY R L,et al.Evidencefor quantized displacement in macroscopic nanomechanical oscillators[J].Physical Review Letters,2005,94:030402.
[8]OHNISHI H,KONDO Y,TAKAYANAGI K.Quantized conductance through individual rows of suspended gold atoms[J].Nature,1998,395(395):780-783.
[9]CHUVILIN A,MEYER J,ALGARA-SILLER G,et al.From graphene constrictions to single carbon chains[J].New Journal of Physics,2009,11(8):083019.
[10]JIN C,LAN H,PENG L,et al.Deriving carbon atomic chains from graphene.[J].Physical Review Letters,2009,102(20):245-252.
[11]ZHAO X,ANDO Y,LIU Y,et al.Carbon nanowire made of a long linear carbon chain inserted inside a multiwalled carbon nanotube[J].Physical Review Letters,2003,90(18):187401.
[12]SCALESEL S,SCUDERIL V,BAGIANTE S,et al.Controlled synthesis of carbon nanotubes and linear C chains by arc discharge in liquid nitrogen[J].Journal of Applied Physics,2010,107:014304.
[13]SATTAR A,AMJAD R J,YASMEEN S,et al.The effect of semi-infinite crystal line electrodes on transmission of gold atomic wires using DFT[J].Physica E,2016,79:8-12.
[14]HE J J,YAN X H,GUO Y D,et al.The electron transport properties of zigzag grapheme nanoribbons with upright standing linear carbon chains[J].Solid State Communications,2016,227:28-32.
[15]DUAN Y N,ZHANG J M,FAN X X,et al.Influence of one CO molecule on structural and electronic properties of Monatomic Cu chain[J].Physica E,2015,73:89-95.
[16]YU M B.Momentum autocorrelation function of an impurity in a classical oscillator chain with alternating masses III.Some limiting cases[J].Physica A,2016,447:411-421.
[17]解忧,周安宁,孙凯刚,等.扶手椅型石墨烯纳米带吸附镍、铜原子链的电子结构[J].人工晶体学报,2016,45(4):1082-1087.XIE You,ZHOU Anning,SUN Kaigang,et al.Electronic structures of ni and Cu monatomic chains adsorbed armchair graphene nanoribbons[J].Joural of Synthetic Crystals,2016,45(4):1082-1087.
[18]华军,侯燕,段志荣,等.石墨烯辐照损伤及力学性能研究[J].力学学报,2016,48(5):1080-1087.HUA Jun,HOU Yan,DUAN Zhirong,et al.Study on irradiation damage and mechanical property of grapheme[J].Chinese Journal of Theoretical and Applied Mechanics,2016,48(5):1080-1087.
[19]HIZHNYAKOV V,KLOPOV M,SHELKAN A.Transverse intrinsic localized modes in monatomic chain and in grapheme[J].Physics Letters A,2016,380:1075-1081.
[20]GLUSHKO E Y.Electron transfer and vibrational modes in a finite molecular chain[J].Low Temperature Physics,2000,26(11):838-848.
[21]KOSEVICH A M,SAVOTCHENKO S E.Peculiarities of dynamics of one-dimensional discrete systems with interaction extending beyond nearest neighbors,and the role of higher dispersion in soliton dynamics[J].Low Temperature Physics,1999,25(7):550-557.
[22]DAI C J,YAN X H,XIAO Y,et al.Electronic and transport properties of noncollinear magnetic monatomic Mn chains:Fano resonances in the superlattice of noncollinear magnetic barriers and magnetic anisotropic bands[J].Journal of Magnetism&Magnetic Materials,2015,379:167-178.
[23]HOOGEBOOM C,THEOCHARIS G,KEVREKIDIS P G.Discrete breathers at the interface between a diatomic and a monoatomic granular chain[J].Physics,2010,82:1022-1029.
[24]THAKUR M K.Chemical functionalization of carbon nanomaterials[M].CRC Press:London,2016.
[25]ODELL J A,KELLER A.Flow-induced chain fracture of isolated linear macromolecules in solution[J].Journal of Polymer Science Part B-Polymer Physics,1986,24:1889-1916.