Skip to main content
Log in

Relaxation of Thermal Stress by Dislocation Motion in Passivated Metal Interconnects

  • Articles
  • Published:
Journal of Materials Research Aims and scope Submit manuscript

Abstract

The development and relaxation of stress in metal interconnects strained by their surroundings (substrate and passivation layers) is predicted by a discrete dislocation analysis. The model is based on a two-dimensional plane strain formulation, with deformation fully constrained in the line direction. Plastic deformation occurs by glide of edge dislocations on three slip systems in the single-crystal line. The substrate and passivation layers are treated as elastic materials and therefore impenetrable for the dislocations. Results of the simulations show the dependence of the stress evolution and of the effectiveness of plastic relaxation on the geometry of the line. The dependence of stress development on line aspect ratio, line size, slip plane orientation, pitch length, and passivation layer thickness are explored.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. Saerens, P. Van Houtte, and A. Witrouw, Internal stresses in aluminum interconnects, Mater. Sci. Forum 347, 556 (2000).

    Article  Google Scholar 

  2. P.A. Flinn and C. Chiang, X-ray diffraction determination of the effect of various passivations on stress in metal films and patterned lines, J. Appl. Phys. 67, 2927 (1990).

    Article  CAS  Google Scholar 

  3. I-S. Yeo, S.G.H. Anderson, and P.S. Ho, Characteristics of thermal stresses in Al(Cu) fine lines. Passivated lines structures, J. Appl. Phys. 78, 953 (1995).

    Article  CAS  Google Scholar 

  4. A. Wikström and P. Gudmundson, Stresses in passivated lines from curvature measurements, Acta Mater. 48, 2429 (2000).

    Article  Google Scholar 

  5. M.A. Moske, P.S. Ho, D.J. Mikalsen, J.J. Cuomo, and R. Rosenberg, Measurement of thermal stress and stress relaxation in confined metal lines. Stresses during thermal cycling, J. Appl. Phys. 74, 1716 (1993).

    Article  CAS  Google Scholar 

  6. S. Krämer, J. Mayer, C. Witt, A. Weickenmeier, and M. Rühle, Analysis of local strain in aluminium interconnects by energy filtered CBED, Ultramicroscopy 81, 245 (2000).

    Article  Google Scholar 

  7. Y-L. Shen, Modeling of thermal stresses in metal interconnects: Effects of the aspect ratio, J. Appl. Phys. 82, 1578 (1997).

    Article  CAS  Google Scholar 

  8. T-S. Park and S. Suresh, Effects of line and passivation geometry on curvature evolution during processing and thermal cycling in copper interconnects lines, Acta Mater. 48, 3169 (2000).

    Article  CAS  Google Scholar 

  9. P. Gudmundson and A. Wikström, Stresses in thin films and interconnect lines, Microelectron. Eng. 60, 17 (2002).

    Article  CAS  Google Scholar 

  10. A. Gouldstone, Y-L. Shen, S. Suresh, and C.V. Thompson, Evolution of stress in passivated and unpassivated metal interconnects, J. Mater. Res. 13, 1956 (1998).

    Article  CAS  Google Scholar 

  11. J.R. Rice, Tensile crack tip fields in elastic-ideally plastic crystals, Mech. Mater. 6, 317 (1987).

    Article  Google Scholar 

  12. L.P. Kubin, G. Canova, M. Condat, B. Devincre, V. Pontikis, and Y. Bréchet, Dislocation microstructures and plastic flow: A 3D simulation, Solid State Phenomena 23–24, 455 (1992).

    Article  Google Scholar 

  13. L. Nicola, E. Van der Giessen, and A. Needleman, Discrete dislocation analysis of size effects in thin films, J. Appl. Phys. 93, 5920 (2003).

    Article  CAS  Google Scholar 

  14. E. Van der Giessen and A. Needleman, Discrete dislocation plasticity: A simple planar model, Model. Simul. Mater. Sci. Eng. 3, 689 (1995).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nicola, L., Van der Giessen, E. & Needleman, A. Relaxation of Thermal Stress by Dislocation Motion in Passivated Metal Interconnects. Journal of Materials Research 19, 1216–1226 (2004). https://doi.org/10.1557/JMR.2004.0158

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1557/JMR.2004.0158

Navigation