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3
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0034604514
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J. F. Banfield, S. A. Welch, H. Z. Zhang, T. T. Ebert, R. L. Penn, Science 289, 751 (2000).
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(2000)
Science
, vol.289
, pp. 751
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Banfield, J.F.1
Welch, S.A.2
Zhang, H.Z.3
Ebert, T.T.4
Penn, R.L.5
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6
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1442272922
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note
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Energy-dispersive x-ray spectroscopy has a detection limit of typically 1 to 2 atomic %. It may not detect impurities with a concentration lower than 2%.
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7
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1442297491
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See supporting material on Science Online.
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8
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1442297492
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note
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Planar defects usually reduce the energy for the nanostructure, and it is easy to form during the growth of one-dimensional oxide nanostructures. Once formed, it leads to the fastest growth along a direction parallel to the defect plane. For a ZnO nanobelt growing along [1010], a single stacking fault is always present (4).
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9
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1442297489
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note
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Recent study has also shown that the presence of a stacking fault is the key for forming Ag disks (17).
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10
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1442321955
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Wurtzite structure has four different types of stacking faults (18). The stacking fault at the nanobelt interface is type I. Type I and type III stacking faults have the lowest energy.
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11
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1442321953
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The local deposition temperature is ∼200° to 400°C, which is high enough to prevent physical adsorption of molecules on the surface during growth. Thus, the polar charges on the surface are likely uncompensated for and are electrostatically effective for aligning the oppositely charged surfaces of the nanobelt during growth.
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12
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1442272923
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There are three components of energy involved in the formation of ring structure: electrostatic interaction energy among the polar charges, surface area energy due to the decrease in surface area after chemically bonding the loops, and elastic deformation energy due to bending. The former two are usually called the surface energy, which includes the contribution from surface tension, but we separate them here for the convenience of discussion in the text. Electrostatic and deformation forces are long-range interactions, and chemical bonding is a short-range interaction. Self-coiling is possible if the decreased electrostatic energy surpasses the increased elastic deformation energy, which is the case for a thin and narrow nanobelt.
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13
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1442272925
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note
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Sintering in ceramics usually involves mass transport and diffusion. By "epitaxial sintering" here, we mean that the two loops are chemically bonded epitaxially with the same crystal orientation, and there may be no diffusion involved. As the nanobelt grew along its axial direction as guided by the planar defect, it was being bonded down on the rim of the ring by electrostatic interaction. Because the melting point for a nanostructure can be as low as one-third of its bulk melting point, and the temperature required for sintering is usually one-third of the melting temperature, it is thus possible to chemically join the loops at 200° to 400°C.
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14
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1442272926
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In principle, the polarity of the surfaces can be determined by convergent beam ED (CBED) (19), but it requires a specimen thickness of 50 nm or more to enhance the dynamic scattering effect. The 20-nm thickness of the rim of the nanoring is insufficient for CBED analysis.
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15
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1442346465
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note
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Among the possible glide systems for hexagonal close-packed structure, (0001), [1210]; and (1212), [1213] are the two possible systems, which correspond to the cases presented in Figs. 2 and 3, respectively [see (20)].
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17
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0041695574
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V. Germain, J. Li, D. Ingert, Z. L. Wang, M. P. Pileni, J. Phys. Chem. B 107, 8717 (2003).
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(2003)
J. Phys. Chem. B
, vol.107
, pp. 8717
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Germain, V.1
Li, J.2
Ingert, D.3
Wang, Z.L.4
Pileni, M.P.5
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19
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0035832834
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F. Vigue, P. Vennegues, S. Vezian, M. Laugt, J.-P. Faurie, Appl. Phys. Lett. 79, 194 (2001).
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(2001)
Appl. Phys. Lett.
, vol.79
, pp. 194
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Vigue, F.1
Vennegues, P.2
Vezian, S.3
Laugt, M.4
Faurie, J.-P.5
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20
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1442346463
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Springer-Verlag, New York
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L. A. Shuvalov, Ed., Modern Crystallography IV, Springer Series in Solid-State Sciences 37 (Springer-Verlag, New York, 1988), p. 109.
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(1988)
Modern Crystallography IV, Springer Series in Solid-State Sciences 37
, pp. 109
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Shuvalov, L.A.1
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21
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1442297490
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note
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Support was provided by NSF (DMR-9733160), the NASA Vehicle Systems Program, and the Department of Defense Research and Engineering (DDR&E) program. We thank R. L. Snyder and J. Z. Zhang for comments.
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