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REPORTS LkHo 198 an opening angle of 45 without limb 18. T. Henning A Burkert, R. Launhardt, C Leinert, B Stecklum, Astron. Astrophys. 336, 565 (1998) port the presence of evacuated cavities in the Whitney for providing us with electronic versions of envelope of LkHo 198. The observed morphol- 20. C. Aspin, M. J McCaughrean, I.S. McLean, Astron an instead be explained by the illumination 21. M. Corcoran,TP.Ray, Ast of a cavity-free, rotationally flattened envelope 22. F. Shu et al. Astrophys. /.429, 781(1994) niversity of California at Santa Cruz tive agreem AST-9876783 and also under th 23. F. H. Shu, F. C. Adams, 5. Lizano, Annu. Rev. Astron then arise from light escaping along the path of Astrophys. 25, 23(1987) ast optical depth. However, these cavity-free 4. F. Palla, S. W. Stahler, Astron. 1. 418, 414(1993) V Mannings, A L Sargent, Astrophys. J. 490, 792(1997) nder contract w-7405-Eng-48. P K received at falling envelope models have opening angles 26. V Mannings. D w Koerner, A.L. Sargent, Nature 388 support from the NASA Origins Program (grant that increase with wavelength, whereas we ob- 55501997 serve a constant opening angle, suggesting 27. J di Francesco, N. J. Evans, P. M. Harvey, L G. Mundy. geometric rather than optical depth origin for the 28. A Natta et al, Astron. Astrophys. 371, 186(2001) Propulsion Laboratory (PL). ]PL is managed for NASA by the California Institute of Technology observed morphology. This discrepancy may be 29. B. A. Whitney, K. Wood, J.E Bjorkman, M J. wolff resolvable by varying the dust particle properties. 30. B. A Whitney, K. Wood, J E.Bjorkman, M. Cohen, upporting Online Material On the basis of these observations. LkHa Astrophys.J598.1079(2003) 233 is the more evolved of the two systems, Materials and Methods with well-defined cavities swept out by bipo- A. Bonnell, M. R Bate, H. Zinnecker, Mon. Not Figs. S1 and S2 lar outflow and bisected by a very dark lane. 33. We thank the Lick Observatory staff who assisted in LkHo 198 is a less evolved system, which is these observations, including T. Misch, K Chloros, and 11 December 2003: accepted 23 January 2004 lly in the early stages of developing bipola cavities and possesses lower extinction in the parent disk midplane The observed circumstellar environments ar Single-Crystal Nanorings Formed consistent with the rotationally flattened infall envelopes models developed for T Tauri stars by Epitaxial Self-Coiling of indicating that the process of envelope collaps as similar phases, despite the large disparities in Polar Nanobelts mass and luminosity between these two classes of young stars. This morphological similarity Xiang Yang Kong, Yong Ding, Rusen Yang, Zhong Lin Wang leads us to infer that the conservation and trans- port of angular momentum is the dominant phys- Freestanding single-crystal complete nanorings of zinc oxide were formed via a ical process for both classes of stars. Altemate spontaneous self-coiling process during the growth of polar nanobelts. The na- formation pathways have been suggested for OB noring appeared to be initiated by circular folding of a nanobelt, caused by long- stars that invoke new physical mechanisms, such range electrostatic interaction. Coaxial and uniradial loop-by-loop winding of the as magnetohydrodynamic turbulence (31)or nanobelt formed a complete ring. Short-range chemical bonding among the loop stellar mergers(32). The Herbig Ae stars studied resulted in a single-crystal structure. The self-coiling is likely to be driven by here appear to be below the mass threshhold at minimizing the energy contributed by polar charges, surface area, and elastic which such effects become important deformation. Zinc oxide nanorings formed by self-coiling of nanobelts may be 0≥日9o useful for investigating polar surface-induced growth processes, fundamental hysics phenomena, and nanoscale devices. 2. oot apper. C J. MacDonald, C E Max, F.J. Dyson, J. Self-assembly of nanocrystals can be driv- appears to be initiated by circular folding of S Hillenbrand, S. E. Strom, F. J Vrba, J. Keene, en by van der Waals forces and hydrogen a nanobelt driven by long-range electrostat Astrophys. J. 397. 613(199 bonding among the passivating organic ic interactions. Short-range chemical bond- 4. D. A Weintraub, A A Goodman.R L Akeson. in molecules on the particle surfaces(1-3). ing among the loops leads to the final 2000),pp.247-271 Arizona Press, Tucson, Az, charge-polarized surfaces, such as nano- ing is driven by minimizing the energy Science 277 belts of oxides like Zno(4), electrostatic contributed by polar charges, surface area, P. Lloyd et al, Proc. SPIE 4008, 814(2000) forces can drive self-assembly, especially and elastic deformation Single-crystal nanorings of ZnO were grown by a solid-vapor process. The raw material was a 9. J.R. Kuhn, D. Potter, B. Parise, Astrophys. J. 553, L18: mixture of Zno(melting point 1975C), indium vapor environment, one type of polar oxide, and lithium carbonate powders at a weight 10. W Li, N J Evans, P. M. Harvey, C Colome, Astrophys. ge-induced helical and spiral Zno structure ratio of 20: 1: 1, and it was placed at the highest 12. D. Copys 1282, 631 N Calvet, R.M. Levreault. was previously reported(5). We now report temperature zone of a horizontal tube fumace a distinct nanoring structure that is formed Before heating to a desired temperature of by spontaneous self-coiling polar 1400oC, the tube furnace was evacuated to 13. R Hajar, P. Bastien, Astrophys. J. 531, 494 nanobelt during growth. Nanoring growth "10- torr to remove the residual oxygen. The 14. G. Sandell, D. A. Weintraub, Astron. Astroph source materials were then heated to 1400 c at a eating rate of 20C/min. Zno decomposes into 15.C D. Koresko, P. M. Harvey, J C. Christou, R. Q. Institute of Technology, Atlanta, GA 30332-0245 Zn- and O--at high temperature(1400C)and low pressure(-10-3torr), and this decomposi 17. M. Fukagawa et al. ]. Psychiatry Neurosci. 54. 969 "To whom correspondence should be addressed. E- tion process is the key step for controlling the 2002 mail: zhong wang @mse gatech. edu th of the nanobelts. After a few 27FebRuaRy2004Vol303ScieNcewww.sciencemag.org

LkH 198 an opening angle of 45° without limb brightening. Thus, our observations do not sup￾port the presence of evacuated cavities in the envelope of LkH 198. The observed morphol￾ogy can instead be explained by the illumination of a cavity-free, rotationally flattened envelope by the central star; the bipolar appearance would then arise from light escaping along the path of least optical depth. However, these cavity-free infalling envelope models have opening angles that increase with wavelength, whereas we ob￾serve a constant opening angle, suggesting a geometric rather than optical depth origin for the observed morphology. This discrepancy may be resolvable by varying the dust particle properties. On the basis of these observations, LkH 233 is the more evolved of the two systems, with well-defined cavities swept out by bipo￾lar outflow and bisected by a very dark lane. LkH 198 is a less evolved system, which is only in the early stages of developing bipolar cavities and possesses lower extinction in the apparent disk midplane. The observed circumstellar environments are consistent with the rotationally flattened infall envelopes models developed for T Tauri stars, indicating that the process of envelope collapse has similar phases, despite the large disparities in mass and luminosity between these two classes of young stars. This morphological similarity leads us to infer that the conservation and trans￾port of angular momentum is the dominant phys￾ical process for both classes of stars. Alternate formation pathways have been suggested for OB stars that invoke new physical mechanisms, such as magnetohydrodynamic turbulence (31) or stellar mergers (32). The Herbig Ae stars studied here appear to be below the mass threshhold at which such effects become important. References and Notes 1. W. Happer, G. J. MacDonald, C. E. Max, F. J. Dyson, J. Opt. Soc. Am. 11, 263 (1994). 2. L. A. Hillenbrand, S. E. Strom, F. J. Vrba, J. Keene, Astrophys. J. 397, 613 (1992). 3. P. Bastien, Astrophys. J. 317, 231 (1987). 4. D. A. Weintraub, A. A. Goodman, R. L. Akeson, in Protostars and Planets IV, V. Mannings, A. P. Boss, S. S. Russell, Eds. (Univ. of Arizona Press, Tucson, AZ, 2000), pp. 247–271. 5. C. Max et al., Science 277, 1649 (1997). 6. J. P. Lloyd et al., Proc. SPIE 4008, 814 (2000). 7. Additional information on materials and methods is available as supporting material on Science Online. 8. D. E. Potter et al., Astrophys. J. 540, 422 (2000). 9. J. R. Kuhn, D. Potter, B. Parise, Astrophys. J. 553, L189 (2001). 10. W. Li, N. J. Evans, P. M. Harvey, C. Colome, Astrophys. J. 433, 199 (1994). 11. J. Canto, L. F. Rodriguez, N. Calvet, R. M. Levreault, Astrophys. J. 282, 631 (1984). 12. D. Corcoran, T. P. Ray, P. Bastien, Astron. Astrophys. 293, 550 (1995). 13. R. Hajjar, P. Bastien, Astrophys. J. 531, 494 (2000). 14. G. Sandell, D. A. Weintraub, Astron. Astrophys. 292, L1 (1994). 15. C. D. Koresko, P. M. Harvey, J. C. Christou, R. Q. Fugate, W. Li, Astrophys. J. 485, 213 (1997). 16. P. O. Lagage et al., Astrophys. J. Lett. 417, L 79 (1993). 17. M. Fukagawa et al., J. Psychiatry Neurosci. 54, 969 (2002). 18. T. Henning, A. Burkert, R. Launhardt, C. Leinert, B. Stecklum, Astron. Astrophys. 336, 565 (1998). 19. S. Terebey, F. H. Shu, P. Cassen, Astrophys. J. 286, 529 (1984). 20. C. Aspin, M. J. McCaughrean, I. S. McLean, Astron. Astrophys. 144, 220 (1985). 21. M. Corcoran, T. P. Ray, Astron. Astrophys. 336, 535 (1998). 22. F. Shu et al., Astrophys. J. 429, 781 (1994). 23. F. H. Shu, F. C. Adams, S. Lizano, Annu. Rev. Astron. Astrophys. 25, 23 (1987). 24. F. Palla, S. W. Stahler, Astron. J. 418, 414 (1993). 25. V. Mannings, A. I. Sargent, Astrophys. J. 490, 792 (1997). 26. V. Mannings, D. W. Koerner, A. I. Sargent, Nature 388, 555 (1997). 27. J. di Francesco, N. J. Evans, P. M. Harvey, L. G. Mundy, H. M. Butner, Astrophys. J. 432, 710 (1994). 28. A. Natta et al., Astron. Astrophys. 371, 186 (2001). 29. B. A. Whitney, K. Wood, J. E. Bjorkman, M. J. Wolff, Astrophys. J. 591, 1049 (2003). 30. B. A. Whitney, K. Wood, J. E. Bjorkman, M. Cohen, Astrophys. J. 598, 1079 (2003). 31. C. F. McKee, J. C. Tan, Astrophys. J. 585, 850 (2003). 32. I. A. Bonnell, M. R. Bate, H. Zinnecker, Mon. Not. R. Astron. Soc. 298, 93 (1998). 33. We thank the Lick Observatory staff who assisted in these observations, including T. Misch, K. Chloros, and J. Morey; the many individuals who have contributed to making the laser guide star system a reality; and B. Whitney for providing us with electronic versions of models. Onyx Optics fabricated our YLF Wollaston prisms. Supported in part by NSF Science and Tech￾nology Center for Adaptive Optics, managed by the University of California at Santa Cruz under cooper￾ative agreement AST-9876783 and also under the auspices of the U.S. Department of Energy, National Nuclear Security Administration, by the University of California, Lawrence Livermore National Laboratory, under contract W-7405-Eng-48. P.K. received addi￾tional support from the NASA Origins Program (grant NAG5-11769). M.D.P. is supported by a NASA Mich￾elson Graduate Fellowship, under contract to the Jet Propulsion Laboratory (JPL). JPL is managed for NASA by the California Institute of Technology. Supporting Online Material www.sciencemag.org/cgi/content/full/303/5662/1345/ DC1 Materials and Methods Figs. S1 and S2 Table S1 11 December 2003; accepted 23 January 2004 Single-Crystal Nanorings Formed by Epitaxial Self-Coiling of Polar Nanobelts Xiang Yang Kong, Yong Ding, Rusen Yang, Zhong Lin Wang* Freestanding single-crystal complete nanorings of zinc oxide were formed via a spontaneous self-coiling process during the growth of polar nanobelts. The na￾noring appeared to be initiated by circular folding of a nanobelt, caused by long￾range electrostatic interaction. Coaxial and uniradial loop-by-loop winding of the nanobelt formed a complete ring. Short-range chemical bonding among the loops resulted in a single-crystal structure. The self-coiling is likely to be driven by minimizing the energy contributed by polar charges, surface area, and elastic deformation. Zinc oxide nanorings formed by self-coiling of nanobelts may be useful for investigating polar surface–induced growth processes, fundamental physics phenomena, and nanoscale devices. Self-assembly of nanocrystals can be driv￾en by van der Waals forces and hydrogen bonding among the passivating organic molecules on the particle surfaces (1–3). For inorganic nanostructures that expose charge-polarized surfaces, such as nano￾belts of oxides like ZnO (4), electrostatic forces can drive self-assembly, especially in gas-phase environments where these forces are unscreened by solvents. For crys￾talline nanomaterials grown in a solid￾vapor environment, one type of polar char￾ge–induced helical and spiral ZnO structure was previously reported (5). We now report a distinct nanoring structure that is formed by spontaneous self-coiling of a polar nanobelt during growth. Nanoring growth appears to be initiated by circular folding of a nanobelt driven by long-range electrostat￾ic interactions. Short-range chemical bond￾ing among the loops leads to the final single-crystalline structure. The self-coil￾ing is driven by minimizing the energy contributed by polar charges, surface area, and elastic deformation. Single-crystal nanorings of ZnO were grown by a solid-vapor process. The raw material was a mixture of ZnO (melting point 1975°C), indium oxide, and lithium carbonate powders at a weight ratio of 20:1:1, and it was placed at the highest temperature zone of a horizontal tube furnace. Before heating to a desired temperature of 1400°C, the tube furnace was evacuated to 103 torr to remove the residual oxygen. The source materials were then heated to 1400°C at a heating rate of 20°C/min. ZnO decomposes into Zn2 and O2– at high temperature (1400°C) and low pressure (103 torr), and this decomposi￾tion process is the key step for controlling the anisotropic growth of the nanobelts. After a few School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA 30332– 0245 USA. *To whom correspondence should be addressed. E￾mail: zhong.wang@mse.gatech.edu R EPORTS 1348 27 FEBRUARY 2004 VOL303 SCIENCE www.sciencemag.org on December 19, 2006 www.sciencemag.org Downloaded from

REPORTS minutes of evaporation and decomposition, the the nanoring is shown in the enlarged image in pattem recorded from the loose end of the nano- Ar carrier gas was introduced at a flux of 50 Fig. 2F, as marked by an arrowhead at the top. belt, as circled in the enlarged area aa, indicates andard cubic centimeters per minute. The syn- Examination of the other side of the nanoring that the nanobelt has a growth direction of thesis process was conducted at 1400C for 30 found the other loose end of the nanobelt(indi- [1010, side surfaces +(1210), and top/bottom min. The condensation products were deposited cated by an arrowhead in Fig. 2E). The ED surfaces +(0001). The nanoring is made of coil onto a silicon substrate placed in a temperature ne of 2000 to 400C under Ar pressure of 500 Fig. 1.(A)Low-magn torr. The as-synthesized samples were analyzed by scanning electron microscopy (SEM) and the as-synthesized ZnO high-resolution transmission electron microsco- py(HrTEm). agnification SEM im- age of a The as-synthesized sample was composed single-crystal Zno na- of many freestanding nanorings at a signifi- cant percentage (20 to 40%) of the yield (Fig. 1A)and 70% reproducibility from run to run. The rings had typical diameters of -1 to 4 um and thin, wide shells that were 10 to 30 nm thick. SEM images recorded at high magnification clearly show the perfect circu lar shape of the complete rings, with uniform shapes and flat surfaces(Fig. 1B). Energy 0 form and perfect geo- metrical shape. The ring diameter is 1 to 4 Hr is 10 to 30 nm, and the width of the ring shell is 0.2 to 1 um. dispersive x-ray spectroscopy analysis indi- cated that the nanorings were Zno(6) Two types of nanoring structures were foun The type I structure is presented in Fig. 2.A Fig. 2. Structure of the TEM image(Fig 2A)indicates that the nanoring I Zno si is a single-crystal entity with nearly perfect cir ular shape, although there is electron diffraction snoring viewed with (ED)contrast caused by non-uniform deforma- the electron beam[1210 tion along the circumference. The single-crystal parallel to the plane of structure referred to here means a complete na noring that is made of a single-crystal ribbon ED from area a marked bent evenly at the curvature of the nanoring in(A).(a,)Enlarge responding dark-field TEM image(Fig. 20) ing a loose end at the shows the contrast produced by the equally left-hand side (a3)An bending lines across the width of the ED pattern (Fig. 20), which is caused by the tilting of the from the loose end atomic plane with respect to the electron beam. (B and c)Bright-field D Deformation in the nanometer -thick ribbon does and dark-field tEm not necessarily introduce dislocations. An ED images recorded f (area a, in Fig 2A) shows that the radial direc- was tilted by 15 tion of the nanoring is [12101, the tangential corded from direction is [1010], and the nanoring axis is marked in( B).(D to F) [0001]. HRTEM images recorded from the three are the larger images f in Fig. 2, d to E, respectively) show the distri:- spectively.marked in bution of the equally spaced planar defects near. (A). after the nanoring s slightly tilted. G) ly parallel to the nanoring plane. The planar An enlarged TEM im through the side of the nanoring, as indicated by indicated in (o).illus.// LI defects align from the top of the nanoring to the bottom without interruption(Fig. 2, D and F) by-10°(H) 444 The trace of the coiling nanobelt is best seen enlargement of area h arrowheads in Fig. 2F. The entire single crystal, although the quality of the crys- fects acro tallinity varies slightly across the width of the dth of the nanoring nanoring, as shown in the enlarged TEM image (O HRTEM image re- in Fig. 2G corded from the na- The nanoring is made of coaxial, oring when the inc epitaxial coiling of a nanobelt. Careful tion of the image in Fig 2A shows a loo rowhead(7). The coling of this nanobelt to form planar defects inside the nanobelt and at the interface between the coiled loops. The width of the the raveling nanobelt, as indicated by .sciencemag org SCIENCE VOL 303 27 FEBRUARY 2004 1349

minutes of evaporation and decomposition, the Ar carrier gas was introduced at a flux of 50 standard cubic centimeters per minute. The syn￾thesis process was conducted at 1400°C for 30 min. The condensation products were deposited onto a silicon substrate placed in a temperature zone of 200° to 400°C under Ar pressure of 500 torr. The as-synthesized samples were analyzed by scanning electron microscopy (SEM) and high-resolution transmission electron microsco￾py (HRTEM). The as-synthesized sample was composed of many freestanding nanorings at a signifi￾cant percentage (20 to 40%) of the yield (Fig. 1A) and 70% reproducibility from run to run. The rings had typical diameters of 1 to 4 m and thin, wide shells that were 10 to 30 nm thick. SEM images recorded at high magnification clearly show the perfect circu￾lar shape of the complete rings, with uniform shapes and flat surfaces (Fig. 1B). Energy￾dispersive x-ray spectroscopy analysis indi￾cated that the nanorings were ZnO (6). Two types of nanoring structures were found. The type I structure is presented in Fig. 2. A TEM image (Fig. 2A) indicates that the nanoring is a single-crystal entity with nearly perfect cir￾cular shape, although there is electron diffraction (ED) contrast caused by non-uniform deforma￾tion along the circumference. The single-crystal structure referred to here means a complete na￾noring that is made of a single-crystal ribbon bent evenly at the curvature of the nanoring. Tilting the nanoring by 20° clearly shows the single-crystal circular shape (Fig. 2B). The cor￾responding dark-field TEM image (Fig. 2C) shows the contrast produced by the equally bending lines across the width of the nanoring (Fig. 2C), which is caused by the tilting of the atomic plane with respect to the electron beam. Deformation in the nanometer-thick ribbon does not necessarily introduce dislocations. An ED pattern recorded from the center of the nanoring (area a1 in Fig. 2A) shows that the radial direc￾tion of the nanoring is [12¯10], the tangential direction is [101¯0], and the nanoring axis is [0001]. HRTEM images recorded from the three corners of the image in Fig. 2A (areas d, e, and f in Fig. 2, D to F, respectively) show the distri￾bution of the equally spaced planar defects near￾ly parallel to the nanoring plane. The planar defects align from the top of the nanoring to the bottom without interruption (Fig. 2, D and F). The trace of the coiling nanobelt is best seen through the side of the nanoring, as indicated by arrowheads in Fig. 2F. The entire nanoring is a single crystal, although the quality of the crys￾tallinity varies slightly across the width of the nanoring, as shown in the enlarged TEM image in Fig. 2G. The nanoring is made of coaxial, uniradial, epitaxial coiling of a nanobelt. Careful examina￾tion of the image in Fig. 2A shows a loose end of the raveling nanobelt, as indicated by a red ar￾rowhead (7). The coiling of this nanobelt to form the nanoring is shown in the enlarged image in Fig. 2F, as marked by an arrowhead at the top. Examination of the other side of the nanoring found the other loose end of the nanobelt (indi￾cated by an arrowhead in Fig. 2E). The ED pattern recorded from the loose end of the nano￾belt, as circled in the enlarged area a3, indicates that the nanobelt has a growth direction of [101¯0], side surfaces (12¯10), and top/bottom surfaces (0001). The nanoring is made of coil￾Fig.1. (A) Low-magni- fication SEM image of the as-synthesized ZnO nanorings. (B) High￾magnification SEM im￾age of a freestanding single-crystal ZnO na￾noring, showing uni￾form and perfect geo￾metrical shape. The ring diameter is 1 to 4 m, the thickness of the ring is 10 to 30 nm, and the width of the ring shell is 0.2 to 1 m. Fig.2. Structure of the type I ZnO single￾crystal nanoring. (A) A TEM image of a ZnO nanoring viewed with the electron beam parallel to the plane of the nanoring. (a1) An ED pattern recorded from area a1 marked in (A). (a2) Enlarge￾ment of area a2 marked in (A), show￾ing a loose end at the left-hand side. (a3) An ED pattern recorded from the loose end (area a3 marked in a2). (B and C) Bright-field and dark-field TEM images recorded from the nanoring after it was tilted by 15°. (b) The ED pattern re￾corded from area b marked in (B). (D to F) are the larger images from areas d to f, re￾spectively, marked in (A), after the nanoring was slightly tilted. (G) An enlarged TEM im￾age of the nanoring tilted by 10°. (H) An enlargement of area h indicated in (C), illus￾trating a uniform dis￾tribution of planar de￾fects across the entire width of the nanoring. (I) HRTEM image re￾corded from the na￾noring when the inci￾dent electron beam was parallel to the ring plane, showing planar defects inside the nanobelt and at the interface between the coiled loops. The width of the nanobelt is indicated. R EPORTS www.sciencemag.org SCIENCE VOL303 27 FEBRUARY 2004 1349 on December 19, 2006 www.sciencemag.org Downloaded from

REPORTS ng loops of the nanobelt, as in a childs"Slinky" orientation. The coiling of the nanobelt introduc- The loose end of the nanobelt in Fig. 2F oring(7), by interfacing its(0001)-Zn and es a small helical angle of -0.3 all has a(0001) planar defect located close to the (0001)o planes at the same crystallographic rotation is hardly detectable by the el middle of its width, which suggests that the planar defect was produced during the nano- ig. 3. Structure of the A belts growth and is the key for producing the fastest growth of the nanobelt along its axial direction(8, 9). We counted 33 coiling loops and B)Bright-field and in the dark-field TEM displayed in ark-field TEM images corded from the na Fig. 2H. HRTEM indicates that besides the oring, with the incident planar defect inside the nanobelt, a stacking fault is formed at the interface between the to the ring plane.(C)ED hich is introduced pattern recorded from he lattices of the zn-terminated and o-ter he nanoring. The pat 01111101 minated(0001) polar surfaces(10). The in- tern shows vertical mir- ror symmetry, and the terface between the loops is coherent, epi- extra diffraction spots at taxial, and chemically bonded(Fig. 21) the two sides are from The type Il nanoring structure is presented the cylindrical bending. Fig. 3B) TEM images show that the complete nanoring is a single crystal, which again implies recorded from the tral symmetric line in A).(E)Enlarged TEM single-crystal ribbon around the circumference. 8 that the nanoring shell is a uniformly deformed, Electron diffraction(Fig 3C)and the corre- a marked in(A), showing entral region(Fig. 3D) show that the radial total number of loops direction of the nanoring is [1213, the tangen- o 100.(F)Dark-field TEM the nanoring after it was is no dislocation in the volume. Figure 3E a tilted by displays the enlarged view of the comer indi- cated in Fig. 3A, which shows an end of the nanobelt(indicated by an arrowhead) and the 8 of Zno and the A rew coiling of the nanobelt. The pitch dis. a tance for the coiling is 10 nm, and the total S anes discussed in the number of loops is 100. The contrast produced by stacking faults parallel to the nanoring +(0001)polar surfaces. plane is visible, but the(0001) stacking fau growth process and cor- plane is at an angle of -28 from the nanor- 5 -15 nm thick, as clearly shown by tilting the a initiation and formation nanoring by 15%(Fig. 3F) The growth of the nanoring structures can be a polar nanobelt. The na- understood on the basis of the polar surfaces of noring is initiated by the ZnO nanobelt. The wurtzite-structured ZnO folding a nanobelt into a crystal is described schematically as a number of op with overlapped (1210 1 um alternating planes composed of tetrahedral coor- ds driven by long dinated 0-and Zn2+ ions, stacked alternatively D along the c axis (Fig. 4A). The oppositely among the polar charged ions produce positively charged(0001)- chemical bonding stabi- Zn and negatively charged(0001)-0 polar sur- lizes the coiled ring faces. The polar nanobelt, which is the building structure and the block of the nanoring, grows along [1010, with aneous self-coiling of side surfaces *(1210) and top/bottom surfaces the nanobelt is driven by 8 +(0001)(4), and has a typical width of 15 nm the energ contributed by pola and thickness of -10 nm(). The planar defect parallel to(0001)lowers the nanobelt nd elastic deformation. is key to producing the fastest anisotrop Calculated energy along [1010), but it does not affect polarity of the nanobelt. Therefore, the nanobelt AEBatm)before anda 7008009001000 er folding of a straight Ring Diameter(nm) has polar charges on its top and bottom surfaces (Fig. 4B). If the surface charges are uncompen p-structured nanoring as a function of the ring radius and the number of loops. Nanobelt width= 20 ated for during growth(In), the nanobelt may thickness =16 nm, Youngs modulus= 50 GPa, and surface charge density lol=0.057 C/m2.The end to fold itself as it lengthens, in order to calculation gives the threshold radius under which initiation of the nanoring structure is energetically minimize the area of the polar surface. One unfavorable. The smallest nanoring observed has D=0.8 um. possible way to reduce the electrostatic energy is 1350 27FebRuaRy2004Vol303ScieNcewww.sciencemag.org

ing loops of the nanobelt, as in a child’s “Slinky” spring (7), by interfacing its (0001)-Zn and (0001¯)-O planes at the same crystallographic orientation. The coiling of the nanobelt introduc￾es a small helical angle of 0.3°; this small rotation is hardly detectable by the ED pattern. The loose end of the nanobelt in Fig. 2F has a (0001) planar defect located close to the middle of its width, which suggests that the planar defect was produced during the nano￾belt’s growth and is the key for producing the fastest growth of the nanobelt along its axial direction (8, 9). We counted 33 coiling loops in the dark-field TEM image displayed in Fig. 2H. HRTEM indicates that, besides the planar defect inside the nanobelt, a stacking fault is formed at the interface between the adjacent loops, which is introduced to match the lattices of the Zn-terminated and O-ter￾minated (0001) polar surfaces (10). The in￾terface between the loops is coherent, epi￾taxial, and chemically bonded (Fig. 2I). The type II nanoring structure is presented in Fig. 3. Bright-field (Fig. 3A) and dark-field (Fig. 3B) TEM images show that the complete nanoring is a single crystal, which again implies that the nanoring shell is a uniformly deformed, single-crystal ribbon around the circumference. Electron diffraction (Fig. 3C) and the corre￾sponding HRTEM image recorded from the central region (Fig. 3D) show that the radial direction of the nanoring is [12¯13¯], the tangen￾tial direction is [101¯0], and the nanoring plane is (12¯12) (see the model in Fig. 4A), and there is no dislocation in the volume. Figure 3E displays the enlarged view of the corner indi￾cated in Fig. 3A, which shows an end of the nanobelt (indicated by an arrowhead) and the screw coiling of the nanobelt. The pitch dis￾tance for the coiling is 10 nm, and the total number of loops is 100. The contrast produced by stacking faults parallel to the nanoring plane is visible, but the (0001) stacking fault plane is at an angle of 28° from the nanor￾ing axis. The nanoring has a thin crystal wall 15 nm thick, as clearly shown by tilting the nanoring by 15° (Fig. 3F). The growth of the nanoring structures can be understood on the basis of the polar surfaces of the ZnO nanobelt. The wurtzite-structured ZnO crystal is described schematically as a number of alternating planes composed of tetrahedral coor￾dinated O2– and Zn2 ions, stacked alternatively along the c axis (Fig. 4A). The oppositely charged ions produce positively charged (0001)- Zn and negatively charged (0001¯)-O polar sur￾faces. The polar nanobelt, which is the building block of the nanoring, grows along [101¯0], with side surfaces (12¯10) and top/bottom surfaces (0001) (4), and has a typical width of 15 nm and thickness of 10 nm (7). The planar defect parallel to (0001) lowers the nanobelt energy and is key to producing the fastest anisotropic growth along [101¯0], but it does not affect the intrinsic polarity of the nanobelt. Therefore, the nanobelt has polar charges on its top and bottom surfaces (Fig. 4B). If the surface charges are uncompen￾sated for during growth (11), the nanobelt may tend to fold itself as it lengthens, in order to minimize the area of the polar surface. One possible way to reduce the electrostatic energy is Fig.3. Structure of the type II ZnO single￾crystal nanoring. (A and B) Bright-field and dark-field TEM images recorded from the na￾noring, with the incident electron beam parallel to the ring plane. (C) ED pattern recorded from the nanoring. The pat￾tern shows vertical mir￾ror symmetry, and the extra diffraction spots at the two sides are from the cylindrical bending of the single-crystal rib￾bon. (D) HRTEM image recorded from the cen￾tral symmetric line in (A). (E) Enlarged TEM images from area e marked in (A), showing the coiling layers. The total number of loops forming this nanoring is 100. (F) Dark-field TEM image recorded from the nanoring after it was tilted by 15°. Fig.4. (A) Structure model of ZnO and the corresponding crystal planes discussed in the text, showing the (0001) polar surfaces. (B to D) Proposed growth process and cor￾responding experimen￾tal results showing the initiation and formation of the single-crystal na￾noring via self-coiling of a polar nanobelt. The na￾noring is initiated by folding a nanobelt into a loop with overlapped ends driven by long￾range electrostatic inter￾actions among the polar charges. Short-range chemical bonding stabi￾lizes the coiled ring structure, and the spon￾taneous self-coiling of the nanobelt is driven by minimizing the energy contributed by polar charges, surface area, and elastic deformation. (E) Calculated energy gain (E  EDeform EElectro) before and af￾ter folding of a straight polar nanobelt into a loop-structured nanoring as a function of the ring radius and the number of loops. Nanobelt width  20 nm, thickness  16 nm, Young’s modulus  50 GPa, and surface charge density  0.057 C/m2 . The calculation gives the threshold radius under which initiation of the nanoring structure is energetically unfavorable. The smallest nanoring observed has D  0.8 m. R EPORTS 1350 27 FEBRUARY 2004 VOL303 SCIENCE www.sciencemag.org on December 19, 2006 www.sciencemag.org Downloaded from

REPORTS to interface the positively charged (0001)-Zn ylindrical nanoring structure, and the plane (top surface) with the negatively charged of the nanobelt are joined by chemical Penn, Science 289, 751(2000) (0001)-O plane(bottom surface), resulting 4. Z W. Pan, ZR. Dai, Z L Wang, Science 291, 1947(2001). as a single entity. The loops that were 5.x Y. Kong, Z L Wang, Nano Lett. 3, 1625(200 neutralization of the local polar charges and in coiled first remained at the growth temperature 6. Energy-dispersive x-ray spectroscopy has a detection reduced surface area, thus forming a loop with for a longer time, resulting in higher crystallinity, not detect an overlapped end(Fig. 4B). The radius of the whereas the ones that wound on later had less purities with a concentration lower than 29 See supporting material on Science Online. during its initial growth, but the size of the loop crystallinity, forming the structure in Fig. 2G, cannot be too small to reduce the elastic defor- with two contrast regions across the width of the he-dimensional oxide nanostructures once formed, it leads to the fastest growth along a mation energy. nanoring. Finally, as the growth time was ex- The total energy involved in the proc tended, the entire nanoring exhibited high-qual stacking fault comes from polar charges, surface area, and ity crystallinity, as shown by the diffraction con- lastic deformation(12). The long-range electro- trast in Fig. 4D. A uniradial and perfectly aligned Recent study has also shown that the presence of a static interaction is likely to be the initial driving coiling is energetically favorable because of the 10. Wurtzite structure has four di force for folding the nanobelt to form the first complete neutralization of the local polar charg. loop on which subsequent growth is based. Cal- es inside the nanoring and the reduced surface terface is type L. Type I and type Ill stacking faults ulations have been made to assess the possibil- area. The entire growth process may have no 11. The local deposition temperature is -200 to 400-C ity of balancing the increased elastic deformation relation to the substrate used for collecting the nergy(AEDeform)by the decreased electrostatic sample. The thinness of the nanoring also pre- energy (AEperdtm) at the initiation of the nanoring vents the determination of its polarity by conver- and are electros atically tatically effective for aligning the oppo- structure(7)(Fig. 4E). If a nanobelt is folded to gent-beam ED(14 The coiling process presented in Fig. 4 12. There are three components of energy involved in the energy gain AE(AE AEDefom AEplectro )is unifies the two types of nanoring structures ositive regardless of the size of the loop, sug. described in Figs. 2 and 3. If the(0001) polar surface area energy gesting that a single-loop complete ring is ener- surface of the Zno nanobelt is parallel to the bonding the loops, and elastic deformation energy due 8 getically unfavorable For a 10% overlapped na- ring plane, self-coiling of the nanobelt at a noring (n=1. 1), the nanoring structure is ener- radial direction of [1210] forms the type I but we separate them here for getically possible if its diameter (D)is larger structure in Fig. 2. Alternatively, if the nano- onvenience of discussion in the text. electrostatic and than 600 nm. It is thus possible to form a single- belt is tilted toward the nanoring center so looped nanoring with overlapped ends at the that the radial direction is [1213](15), self- beginning of the growth caused by fluctuation coiling of the nanobelt produces the type ll (Fig. 4B). For a 33%overlapped nanoring(n= structure in Fig 3. The tilting of the nanobelt 13 Sintening ine case for a thin ane larger than 360 nm. The diameters of the The model presented here can also be adopt are cher sintering"here, we me experimentally observed nanorings are in the ed to explain the helical nanostructure reported ith the same crystal orientation, and there may be range of 0. 8 to 4 um, and no ring has D<0.8 previously (5). If the nanobelt in xial direction as guided by the planar defect, it was um From the SEM images, we believe that flipped by g0 so that the radial direction of the the first step(Fig. 4B) occurs before the na- nanoring is [00ol which means that the polar- noring lands on the substrate ization is in the radial direction, a bending of the anostructure can be as low as one third of its bulk The presence of a planar defect within the nanobelt into a circle slightly reduces the ele nanobelt(Fig. 2F)is likely to be the key to trostatic energy, possibly in favor of forming ar ally join the loops at producing the fast growth of the nanobelt along in-plane spiral nanoring (5). Alternatively, as 200°to400°C [1010], because it lowers the energy in the result of preserved polar charges on the inner and 14. In principle, the polarity of the surfaces can be determined wurtzite-structured lattice (8). Planar defects outer are surfaces, the circular loops of the nano- or more to enhance the may be initiated by impurity atoms, such as Li belt cannot be densely packed into a single growth continues, the nanobelt may be natural- repulsion among them; instead, a helical struc. 15. Among the possible glide systems for hexagonal ly attracted to the rim of the nanoring by elec- ture would be formed, with a pitch distance of 1213 [1213 are the two possible systems, which rostatic interactions and then extend itself par- 200 to 500 nm (much larger than the width(-20 spend tse the oases presented in Figs. 2 a allel to the rim of the nanoring to neutralize the nm)or thickness(10 nm) of the nanobelt]. 16. R.A. Romer, M E Taikh, Phys Stat SoL. B 221, 535(2000). local polar charge and reduce the surface area, which is suggested to be a result of balancing the 17. V Germain, J. Li, D Pbys.Chem.B107.8717(2003) resulting in the formation of a self-coiled, co- electrostatic repulsive force between the loops 18 C. StampfL. C. G. Van de Walle, Phys. Rev. B 57. axial, uniradial, multilooped nanoring structure. and the elastic deformation force R15052(1998) The self-assembly is spontaneous, which means The polar charge-induced nanorings present- 19. F. Vigue, P. Vennegues, S. Vezian, M rim the nanobelt grows. The reduced surface area ing fundamental physical phenomena, such as 20 L, sees al solid- state sc ences a spiny and the formation of chemical bonds (a short- the Aharonov-Bohm oscillations in exciton hu- range force) between the loops stabilize the minescence(16). The piezoelectric and semicon- 21. Support was provided by NSF(DMR-9733160) coiled structure. The width of the nanoring ducting properties of ZnO predict that the nanor- eering(DDR&E) program. w increases as more loops wind along the nanor- ings could be used as nanoscale sensors, trans- R. L Snyder and j z zhang for comments. ing axis(Fig. 40), and all of them remain in the ducers, and resonators. Online Ma same crystal orientation agog/cgi/content/fulL 303/5662/1348/DC1 Because growth is carried out in the temper- 1. C.B. Murray, C.R. Kagan, M.G. Bawendi, Science 270. ature region from200°to400°C,“ epitaxial sin tering"(3)of the adjacent loops forms a single- 2. R L Whetten et al, Adv. Mater. 8. 428(1996) 8 October 2003: accepted 29 December 2003 www.sciencemag.orgSciEnceVol30327feBruAry2004 1351

to interface the positively charged (0001)-Zn plane (top surface) with the negatively charged (0001)-O plane (bottom surface), resulting in neutralization of the local polar charges and in reduced surface area, thus forming a loop with an overlapped end (Fig. 4B). The radius of the loop may be a result of how the nanobelt folds during its initial growth, but the size of the loop cannot be too small to reduce the elastic defor￾mation energy. The total energy involved in the process comes from polar charges, surface area, and elastic deformation (12). The long-range electro￾static interaction is likely to be the initial driving force for folding the nanobelt to form the first loop on which subsequent growth is based. Cal￾culations have been made to assess the possibil￾ity of balancing the increased elastic deformation energy (EDeform) by the decreased electrostatic energy (EElectro) at the initiation of the nanoring structure (7) (Fig. 4E). If a nanobelt is folded to form a single-loop complete ring (n  1), the energy gain E (E  EDeform EElectro) is positive regardless of the size of the loop, sug￾gesting that a single-loop complete ring is ener￾getically unfavorable. For a 10% overlapped na￾noring (n  1.1), the nanoring structure is ener￾getically possible if its diameter (D) is larger than 600 nm. It is thus possible to form a single￾looped nanoring with overlapped ends at the beginning of the growth caused by fluctuation (Fig. 4B). For a 33% overlapped nanoring (n  4/3), the nanoring structure is possible if D is larger than 360 nm. The diameters of the experimentally observed nanorings are in the range of 0.8 to 4 m, and no ring has D 0.8 m. From the SEM images, we believe that the first step (Fig. 4B) occurs before the na￾noring lands on the substrate. The presence of a planar defect within the nanobelt (Fig. 2F) is likely to be the key to producing the fast growth of the nanobelt along [101¯0], because it lowers the energy in the wurtzite-structured lattice (8). Planar defects may be initiated by impurity atoms, such as Li and In, introduced into the raw material. As growth continues, the nanobelt may be natural￾ly attracted to the rim of the nanoring by elec￾trostatic interactions and then extend itself par￾allel to the rim of the nanoring to neutralize the local polar charge and reduce the surface area, resulting in the formation of a self-coiled, co￾axial, uniradial, multilooped nanoring structure. The self-assembly is spontaneous, which means that the self-coiling along the rim proceeds as the nanobelt grows. The reduced surface area and the formation of chemical bonds (a short￾range force) between the loops stabilize the coiled structure. The width of the nanoring increases as more loops wind along the nanor￾ing axis (Fig. 4C), and all of them remain in the same crystal orientation. Because growth is carried out in the temper￾ature region from 200° to 400°C, “epitaxial sin￾tering” (13) of the adjacent loops forms a single￾crystal cylindrical nanoring structure, and the loops of the nanobelt are joined by chemical bonds as a single entity. The loops that were coiled first remained at the growth temperature for a longer time, resulting in higher crystallinity, whereas the ones that wound on later had less time for sintering and thus had relatively poorer crystallinity, forming the structure in Fig. 2G, with two contrast regions across the width of the nanoring. Finally, as the growth time was ex￾tended, the entire nanoring exhibited high-qual￾ity crystallinity, as shown by the diffraction con￾trast in Fig. 4D. A uniradial and perfectly aligned coiling is energetically favorable because of the complete neutralization of the local polar charg￾es inside the nanoring and the reduced surface area. The entire growth process may have no relation to the substrate used for collecting the sample. The thinness of the nanoring also pre￾vents the determination of its polarity by conver￾gent-beam ED (14). The coiling process presented in Fig. 4 unifies the two types of nanoring structures described in Figs. 2 and 3. If the (0001) polar surface of the ZnO nanobelt is parallel to the ring plane, self-coiling of the nanobelt at a radial direction of [12¯10] forms the type I structure in Fig. 2. Alternatively, if the nano￾belt is tilted toward the nanoring center so that the radial direction is [12¯13¯] (15), self￾coiling of the nanobelt produces the type II structure in Fig. 3. The tilting of the nanobelt may reduce the elastic deformation energy. The model presented here can also be adopt￾ed to explain the helical nanostructure reported previously (5). If the nanobelt in Fig. 4B is flipped by 90° so that the radial direction of the nanoring is [0001], which means that the polar￾ization is in the radial direction, a bending of the nanobelt into a circle slightly reduces the elec￾trostatic energy, possibly in favor of forming an in-plane spiral nanoring (5). Alternatively, as a result of preserved polar charges on the inner and outer arc surfaces, the circular loops of the nano￾belt cannot be densely packed into a single￾crystal coil structure because of the electrostatic repulsion among them; instead, a helical struc￾ture would be formed, with a pitch distance of 200 to 500 nm [much larger than the width (20 nm) or thickness (10 nm) of the nanobelt], which is suggested to be a result of balancing the electrostatic repulsive force between the loops and the elastic deformation force. The polar charge–induced nanorings present￾ed here have potential applications in investigat￾ing fundamental physical phenomena, such as the Aharonov-Bohm oscillations in exciton lu￾minescence (16). The piezoelectric and semicon￾ducting properties of ZnO predict that the nanor￾ings could be used as nanoscale sensors, trans￾ducers, and resonators. References and Notes 1. C. B. Murray, C. R. Kagan, M. G. Bawendi, Science 270, 1335 (1995). 2. R. L. Whetten et al., Adv. Mater. 8, 428 (1996). 3. J. F. Banfield, S. A. Welch, H. Z. Zhang, T. T. Ebert, R. L. Penn, Science 289, 751 (2000). 4. Z. W. Pan, Z. R. Dai, Z. L. Wang, Science 291, 1947 (2001). 5. X. Y. Kong, Z. L. Wang, Nano Lett. 3, 1625 (2003). 6. 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%. 7. See supporting material on Science Online. 8. 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 [101¯0], a single stacking fault is always present (4). 9. Recent study has also shown that the presence of a stacking fault is the key for forming Ag disks (17). 10. Wurtzite structure has four different types of stack￾ing faults (18). The stacking fault at the nanobelt interface is type I. Type I and type III stacking faults have the lowest energy. 11. 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 oppo￾sitely charged surfaces of the nanobelt during growth. 12. 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. 13. 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 elec￾trostatic 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 sin￾tering is usually one-third of the melting tempera￾ture, it is thus possible to chemically join the loops at 200° to 400°C. 14. 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. 15. Among the possible glide systems for hexagonal close-packed structure, (0001), [12¯10]; and (12¯12), [12¯13¯] are the two possible systems, which corre￾spond to the cases presented in Figs. 2 and 3, respec￾tively [see (20)]. 16. R. A. Ro¨mer, M. E. Taikh, Phys. Stat. Sol. B 221, 535 (2000). 17. V. Germain, J. Li, D. Ingert, Z. L. Wang, M. P. Pileni, J. Phys. Chem. B 107, 8717 (2003). 18. C. Stampfl, C. G. Van de Walle, Phys. Rev. B 57, R15052 (1998). 19. F. Vigue, P. Vennegues, S. Vezian, M. Laugt, J.-P. Faurie, Appl. Phys. Lett. 79, 194 (2001). 20. L. A. Shuvalov, Ed., Modern Crystallography IV, Spring￾er Series in Solid-State Sciences 37 (Springer-Verlag, New York, 1988), p. 109. 21. 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. Supporting Online Material www.sciencemag.org/cgi/content/full/303/5662/1348/DC1 Methods Figs. S1 to S4 8 October 2003; accepted 29 December 2003 R EPORTS www.sciencemag.org SCIENCE VOL303 27 FEBRUARY 2004 1351 on December 19, 2006 www.sciencemag.org Downloaded from

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