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PHYSICAL REVIEW B 74, 193401 2006<br />

Transmission electron microscopy and molecular dy<strong>na</strong>mics study of the formation of<br />

suspended copper linear atomic chains<br />

F. Sato, 1 A. S. Moreira, 2 J. Bettini, 3 P. Z. Coura, 4 S. O. Dantas, 4, * D. Ugarte, 1,3,† and D. S. Galvão 1,‡<br />

1 Instituto de Física Gleb Wataghin, Universi<strong>da</strong>de Estadual de Campi<strong>na</strong>s, CP 6165, 13083-970 Campi<strong>na</strong>s, SP, Brazil<br />

2 Centro Brasileiro de Pesquisas Físicas, R. Dr. Xavier Sigaud 150, Rio de Janeiro, 22290-180, RJ, Brazil<br />

3 Laboratório Nacio<strong>na</strong>l de Luz Síncrotron, CP 6192, 13084-971 Campi<strong>na</strong>s, SP, Brazil<br />

4 Departamento de Física, ICE, Universi<strong>da</strong>de Federal de Juiz de Fora, 36036-330 Juiz de Fora, MG, Brazil<br />

Received 11 Sept<strong>em</strong>ber 2006; published 2 Nov<strong>em</strong>ber 2006<br />

We report high-resolution transmission electron microscopy and molecular dy<strong>na</strong>mics simulation results of<br />

mechanically stretching <strong>na</strong>nowires leading to linear atomic suspended chain LAC formation. In contrast with<br />

some previous experimental and theoretical works in the literature that stated that the formation of LAC’s for<br />

copper should be unlikely our results showed the existence of LAC’s for the 111, 110, and 100 crystallographic<br />

directions, being thus the sequence of most probable occurrence. Our results clearly indicate that<br />

t<strong>em</strong>perture and pulling velocity, associated with inter<strong>na</strong>l stress, are fun<strong>da</strong>mental aspects to determine LAC<br />

formation.<br />

DOI: 10.1103/PhysRevB.74.193401<br />

PACS numbers: 61.46.w, 62.25.g, 68.37.Lp<br />

In the last years an enormous amount of theoretical and<br />

experimental effort has been devoted to the study of <strong>na</strong>nostructures.<br />

Advances in experimental high-spatial-resolution<br />

techniques or microscopies high-resolution transmission<br />

electron microscopy HRTEM, scanning tunneling microscopy<br />

STM, and atomic force microscopy AFM have revealed<br />

new phenome<strong>na</strong> at the <strong>na</strong>noscale.<br />

Among <strong>na</strong>nostructures, metallic <strong>na</strong>nowires NW’s are of<br />

great interest due to the observation of very interesting<br />

physical phenome<strong>na</strong> spin filters, quantized conductance,<br />

etc. and their possible technological application in <strong>na</strong>nodevices<br />

molecular electronics, <strong>na</strong>nocontacts, etc.. 1–15 These<br />

structures have displayed quantized conductance of n 2e 2 /h<br />

G 0 , where n is an integer number, e is the electron charge,<br />

and h is Planck’s constant. 1 The ultimate NW’s are one atom<br />

thick, when suspended linear atomic chains LAC’s are<br />

formed.<br />

Most studies of LAC structures have been focused on Au,<br />

but in principle LAC’s may also be possible to exist for<br />

many other fcc metals Pt, Ag, Pd, etc., although we must<br />

<strong>em</strong>phasize that this issue is still rather controversial. 16–20<br />

From an experimental point of view, two techniques have<br />

been mostly used: mechanically controllable break<br />

junctions 15,21,22 MCBJ’s and in situ HRTEM. 3,5,23–25 The<br />

former is more appropriate for conductance experiments<br />

while the latter allows real-time visualization, providing a<br />

better evaluation of the dy<strong>na</strong>mical atomistic aspects of NW<br />

elongation. MCBJ experiments at low t<strong>em</strong>peratures have<br />

been carried out 17 for copper and the formation of LAC’s<br />

was not observed. Ab intio simulations, at zero Kelvin, also<br />

did not observe LAC’s. 16 Both experiments and simulations<br />

concluded that the existence of LAC’s at low t<strong>em</strong>peratures is<br />

very unlikely to occur.<br />

In this work we report HRTEM results of the study of<br />

mechanical stretching of copper NW’s for different crystallographic<br />

directions 111, 110, 100. In contrast with<br />

MCBJ results 17 we observed LAC formation for all the orientations<br />

investigated. These results are the first atomicresolved<br />

direct visualization observation of the existence of<br />

1098-0121/2006/7419/1934014<br />

39<br />

193401-1<br />

copper LAC’s. Molecular dy<strong>na</strong>mics simulations were also<br />

used to address and contrast the experimental results. By<br />

varying t<strong>em</strong>perature and intensity of stretching pulling velocity<br />

we can mimic the two different experimental regimes.<br />

Our results clearly indicated that t<strong>em</strong>perature and pulling<br />

velocity, associated with inter<strong>na</strong>l stress, play a fun<strong>da</strong>mental<br />

role in determining the required conditions to the LAC existence.<br />

Metallic NW’s were produced in situ in the HRTEM<br />

JEM-3010 URP 300 kV, 0.17 nm point resolution using<br />

the methodology proposed by Kondo and Takaya<strong>na</strong>gi. 26 Initially,<br />

holes are opened at several points in a self-supported<br />

metal film by focusing the microscope electron beam<br />

120 A/cm 2 Fig. 1a. When two holes become very<br />

close, <strong>na</strong>nometric constrictions bridges are formed between<br />

th<strong>em</strong> Fig. 1b. Then, the microscope beam current density<br />

is reduced to 10–30 A/cm 2 for image acquisition 18 and<br />

the <strong>na</strong>nowires evolve spontaneously, elongate Fig. 1c, and<br />

fi<strong>na</strong>lly break, sometimes with the formation of LAC’s Fig.<br />

2. In this range of beam current density the t<strong>em</strong>perature is<br />

estimated to be within 300–400 K. These processes are registered<br />

using a high-sensitive TV camera Gatan 622SC,<br />

30 frames/s and a stan<strong>da</strong>rd video recorder.<br />

The polycrystalline Cu thin films 10–30 nm in thickness<br />

were prepared by thermal evaporation of metal in a<br />

stan<strong>da</strong>rd vacuum evaporator 10 −7 mbar. A quartz crystal<br />

monitor was used to set the evaporation rate of the metal<br />

source and, subsequently, to measure the equivalent thickness<br />

of the film. To prevent oxi<strong>da</strong>tion the films were sandwiched<br />

between two 3-nm-thick amorphous carbon layers.<br />

Inside the microscope, the carbon layers are r<strong>em</strong>oved by<br />

electron irradiation. 18<br />

In Fig. 2, we present a typical HRTEM s<strong>na</strong>pshot showing<br />

a LAC composed by two atoms see also movie 01. 27 Due to<br />

the copper relative low atomic number and smaller lattice<br />

parameter, the HRTEM image contrast is rather weak; then,<br />

the observation of a high-contrast atomic resolution image is<br />

much more difficult to obtain than for other metals such as<br />

Au and Pt. 18<br />

©2006 The American Physical Society

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