Skip to main content
Log in

Strength of Silicon Single-Crystal Wafers for Solar Cells

  • SOLID STATE
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

We consider methods for measuring strength characteristics of brittle materials under axisymmetric bending, for example, of a silicon single crystal obtained by crystallization from melt by the Czochralski method. This material in the form of thin (80–200 μm) wafers is used in most high-efficiency solar cells with efficiency exceeding 20%. We analyze experimental and theoretical methods for determining stresses. The results of numerical calculation of stresses are compared with experimental data obtained from measuring the interplanar distance in the silicon crystal lattice under loading. It is shown that the familiar formulas calculating stresses and deflection in the theory of elasticity are valid only for loads much smaller than the breaking load. We obtain the load–deflection dependences under the loading ring in axisymmetric bending of thin silicon wafers of different sizes in different experimental geometries and determined their strength depending on the type of finishing of the surface, which substantially affects its strength.

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.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. F. Fertig, K. Krauss, and S. Rein, Energy Proc. 124, 338 (2017).

    Article  Google Scholar 

  2. A. Danilewsky, J. Wittge, K. Kiefl, D. Allen, P. McNally, J. Garagorri, M. R. Elizalde, T. Baumbach, and B. K. Tanner, J. Appl. Crystallogr. 46, 849 (2013).

    Article  Google Scholar 

  3. A. M. Gabor, R. Janoch, A. Anselmo, J. L. Lincoln, H. Seigneur, and Ch. Honeker, IEEE J. Photovoltaics 6, 3575 (2016).

    Google Scholar 

  4. G. Rozgonyi, K. Youssef, P. Kulshreshtha, M. Shi, and E. Good, Solid State Phenom. 178179, 79 (2011). https://doi.org/10.4028/www.scientific.net/SSP.178-179.79

  5. V. A. Stepanov, N. N. Peschanskaya, and V. V. Shpeizman, Strength and Relaxation Phenomena in Solids (Nauka, Leningrad, 1984).

    Google Scholar 

  6. S. P. Timoshenko and S. Voinovskii-Kriger, Plates and Shells (Nauka, Moscow, 1966).

    Google Scholar 

  7. F. F. Vitman, Ya. S. Uflyand, and B. S. Ioffe, Int. Appl. Mech. 6, 554 (1970).

    ADS  Google Scholar 

  8. J. F. Nye, Physical Properties of Crystals (Clarendon, 1985).

    Google Scholar 

  9. G. Coletti, N. J. C. M. van der Borg, S. De Iuliis, C. J. J. Tool, and L. J. Geerligs, in Proc. 21st European Photovoltaic Solar Energy Conf. and Exhibition, Dresden,2006.

  10. ASTM C1499–15. Standard Test Method for Monotonic Equibiaxial Flexural Strength of Advanced Ceramics at Ambient Temperature.

  11. S. Gouttebroze, H. I. Lange, X. Ma, R. Glockner, B. Emamifard, M. Syvertsen, M. Vardavoulias, and A. Ulyashin, Phys. Status Solidi A 210, 777 (2013).

    Article  ADS  Google Scholar 

  12. L. V. Zhoga, V. A. Stepanov, and V. V. Shpeizman, Fiz. Tverd. Tela 19, 1521 (1977).

    Google Scholar 

  13. D. M. Vasil’ev and Yu. F. Titovets, Zavod. Lab. 43, 1235 (1977).

    Google Scholar 

  14. M. S. Kornishin and F. S. Isanbaeva, Flexible Plates and Panels (Nauka, Moscow, 1968).

    Google Scholar 

Download references

ACKNOWLEDGMENTS

The authors are grateful to E.V. Smirnova and S.T. Davetadze, researchers from Solar Silicon Technologies Corporation (Podolsk), for providing experimental samples.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to V. V. Shpeizman or V. I. Nikolaev.

Ethics declarations

The authors claim that there are no conflicts of interest.

Additional information

Translated by N. Wadhwa

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shpeizman, V.V., Nikolaev, V.I., Pozdnyakov, A.O. et al. Strength of Silicon Single-Crystal Wafers for Solar Cells. Tech. Phys. 65, 73–77 (2020). https://doi.org/10.1134/S1063784220010259

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784220010259

Navigation