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Dislocation-driven surface dynamics on solids

Abstract

Dislocations1 are line defects that bound plastically deformed regions in crystalline solids. Dislocations terminating on the surface of materials can strongly influence nanostructural and interfacial stability, mechanical properties, chemical reactions, transport phenomena, and other surface processes. While most theoretical and experimental studies have focused on dislocation motion in bulk solids under applied stress2,3 and step formation due to dislocations at surfaces during crystal growth4,5,6,7, very little is known about the effects of dislocations on surface dynamics and morphological evolution. Here we investigate the near-equilibrium dynamics of surface-terminated dislocations using low-energy electron microscopy8. We observe, in real time, the thermally driven nucleation and shape-preserving growth of spiral steps rotating at constant temperature-dependent angular velocities around cores of dislocations terminating on the (111) surface of TiN in the absence of applied external stress or net mass change. We attribute this phenomenon to point-defect migration from the bulk to the surface along dislocation lines. Our results demonstrate that dislocation-mediated surface roughening can occur even in the absence of deposition or evaporation, and provide fundamental insights into mechanisms controlling nanostructural stability.

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Figure 1: Nucleation and growth of spiral steps on TiN(111).
Figure 2: Area versus annealing time for 2D TiN loops, spirals and islands on TiN(111).
Figure 3: Temperature dependence of angular velocities of spirals on TiN(111).

References

  1. 1

    Cottrell, A. H. in Dislocations and Plastic Flow in Crystals (eds Fowler, R. H., Kapitza, P., Mott, N. F. & Bullard, E. C.) Ch. 1 (Oxford Univ. Press, London, 1953)

    MATH  Google Scholar 

  2. 2

    Bulatov, V., Abraham, F. F., Kubin, L., Devincre, B. & Yip, S. Connecting atomistic and mesoscale simulations of crystal plasticity. Nature 391, 669–672 (1998)

    ADS  CAS  Article  Google Scholar 

  3. 3

    Lagow, B. W. et al. Observation of dislocation dynamics in the electron microscope. Mater. Sci. Eng. A 309–310, 445–450 (2001)

    Article  Google Scholar 

  4. 4

    Verma, A. R. & Amelinckx, S. Spiral growth on carborundum crystal faces. Nature 167, 939–940 (1951)

    ADS  CAS  Article  Google Scholar 

  5. 5

    Teng, H. H., Dove, P. M., Orme, C. A. & De Yoreo, J. J. Thermodynamics of calcite growth: Baseline for understanding biomineral formation. Science 282, 724–727 (1998)

    ADS  CAS  Article  Google Scholar 

  6. 6

    Pina, C. M., Becker, U., Risthaus, P., Bosbach, D. & Putnis, A. Molecular-scale mechanisms of crystal growth in barite. Nature 395, 483–486 (1998)

    ADS  CAS  Article  Google Scholar 

  7. 7

    Burton, W. K., Cabrera, N. & Frank, F. C. The growth of crystals and the equilibrium structure of their surfaces. Phil. Trans. R. Soc. Lond. A 243, 299–358 (1951)

    ADS  MathSciNet  Article  Google Scholar 

  8. 8

    Bauer, E. Low-energy electron microscopy. Rep. Prog. Phys. 57, 895–938 (1994)

    ADS  CAS  Article  Google Scholar 

  9. 9

    Tromp, R. M. & Reuter, M. C. Design of a new photo-emission/low-energy electron microscope for surface studies. Ultramicroscopy 36, 99–106 (1991)

    Article  Google Scholar 

  10. 10

    Kodambaka, S. et al. Absolute TiN(111) step energies from analysis of anisotropic island shape fluctuations. Phys. Rev. Lett. 88, 146101 (2002)

    ADS  CAS  Article  Google Scholar 

  11. 11

    Zinke-Allmang, M., Feldman, L. C. & Grabow, M. H. Clustering on surfaces. Surf. Sci. Rep. 16, 377–463 (1992)

    ADS  CAS  Article  Google Scholar 

  12. 12

    Frank, F. C. & Read, W. T. Multiplication processes for slow moving dislocations. Phys. Rev. 79, 722–723 (1950)

    ADS  CAS  Article  Google Scholar 

  13. 13

    Bardeen, J. & Herring, C. in Imperfections in Nearly Perfect Crystals (eds Shockley, W., Hollomon, J. H., Maurer, R. & Seitz, F.) Chap. 10 (Wiley, New York, 1952)

    Google Scholar 

  14. 14

    Hull, D. & Bacon, D. J. Introduction to Dislocations Ch. 8 (Pergamon, Oxford, 1984)

    Google Scholar 

  15. 15

    Kodambaka, S. et al. Size-dependent detachment-limited decay kinetics of two-dimensional TiN islands on TiN(111). Phys. Rev. Lett. 89, 176102 (2002)

    ADS  CAS  Article  Google Scholar 

  16. 16

    Sundgren, J. E., Johansson, B. O., Rockett, A., Barnett, S. A. & Greene, J. E. in Physics and Chemistry of Protective Coatings (eds Greene, J. E., Sproul, W. D. & Thornton, J. A.) 95–115 (American Institute of Physics, New York, 1986)

    Google Scholar 

  17. 17

    Gall, D., Kodambaka, S., Wall, M. A., Petrov, I. & Greene, J. E. Pathways of atomistic processes on TiN(001) and (111) surfaces during film growth: an ab initio study. J. Appl. Phys. 93, 9086–9094 (2003)

    ADS  CAS  Article  Google Scholar 

  18. 18

    Weertman, J. & Weertman, J. R. in Elementary Dislocation Theory (eds M. E., Weertman, J. & Weertman, J. R.) Ch. 6 (Macmillan, New York, 1964)

    MATH  Google Scholar 

  19. 19

    Justo, J. F., de Koning, M., Cai, W. & Bulatov, V. V. Point defect interaction with dislocations in silicon. Mater. Sci. Eng. A 309–310, 129–132 (2001)

    Article  Google Scholar 

  20. 20

    Indenbom, V. L. & Saralidze, Z. K. in Elastic Strain Fields and Dislocation Mobility (eds Indenbom, V. L. & Lothe, J.) Ch. 10 (Elsevier Science, Amsterdam, 1992)

    Google Scholar 

  21. 21

    McCarty, K. F., Nobel, J. A. & Bartelt, N. C. Vacancies in solids and the stability of surface morphology. Nature 412, 622–625 (2001)

    ADS  CAS  Article  Google Scholar 

  22. 22

    Giesen, M. Step and island dynamics at solid/vacuum and solid/liquid interfaces. Prog. Surf. Sci. 68, 1–153 (2001)

    ADS  CAS  Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the US Department of Energy (DOE), Division of Materials Science, through the University of Illinois Frederick Seitz Materials Research Laboratory (FS-MRL). We thank C. P. Flynn, H. Birnbaum, R. J. Pflueger and P. O. Å. Persson for discussions and critical reading of the manuscript. We also appreciate the use of the facilities in the Center for Microanalysis of Materials, partially supported by DOE, at the FS-MRL.

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Correspondence to S. V. Khare.

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Kodambaka, S., Khare, S., Święch, W. et al. Dislocation-driven surface dynamics on solids. Nature 429, 49–52 (2004). https://doi.org/10.1038/nature02495

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