Abstract
Strained silicon is now an integral feature of the latest generation of transistors and electronic devices1,2,3 because of the associated enhancement in carrier mobility4,5. Strain is also expected to have an important role in future devices based on nanowires6 and in optoelectronic components7. Different strategies have been used to engineer strain in devices, leading to complex strain distributions in two and three dimensions8,9. Developing methods of strain measurement at the nanoscale has therefore been an important objective in recent years but has proved elusive in practice1,10: none of the existing techniques combines the necessary spatial resolution, precision and field of view. For example, Raman spectroscopy or X-ray diffraction techniques can map strain at the micrometre scale, whereas transmission electron microscopy allows strain measurement at the nanometre scale but only over small sample areas. Here we present a technique capable of bridging this gap and measuring strain to high precision, with nanometre spatial resolution and for micrometre fields of view11. Our method combines the advantages of moiré techniques12 with the flexibility of off-axis electron holography13 and is also applicable to relatively thick samples, thus reducing the influence of thin-film relaxation effects.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
Next-generation 2D optical strain mapping with strain-sensing smart skin compared to digital image correlation
Scientific Reports Open Access 03 July 2022
-
3D Seed-Germination-Like MXene with In Situ Growing CNTs/Ni Heterojunction for Enhanced Microwave Absorption via Polarization and Magnetization
Nano-Micro Letters Open Access 19 July 2021
-
Electron microscopy by specimen design: application to strain measurements
Scientific Reports Open Access 29 September 2017
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Rent or buy this article
Get just this article for as long as you need it
$39.95
Prices may be subject to local taxes which are calculated during checkout





References
ITRS, International Technology Roadmap for Semiconductors, 2005 edn Available online at 〈http://www.itrs.net/reports.html〉.
Ghani, T. et al. A 90 nm high volume manufacturing logic technology featuring novel 45 nm gate length strained silicon CMOS transistors. IEDM Tech. Digest 978–980 (IEEE International, 2003)
Antoniadis, D. A. et al. Continuous MOSFET performance increase with device scaling: The role of strain and channel material innovations. IBM J. Res. Dev. 50, 363–376 (2006)
Lee, M. L., Fitzgerald, E. A., Bulsara, M. T., Currie, M. T. & Lochtefeld, A. Strained Si, SiGe, and Ge channels for high-mobility metal-oxide-semiconductor field-effect transistors. J. Appl. Phys. 97, 011101 (2005)
Thompson, S. E., Sun, G. Y., Choi, Y. S. & Nishida, T. Uniaxial-process-induced strained-Si: Extending the CMOS roadmap. IEEE Trans. Electron. Dev. 53, 1010–1020 (2006)
He, R. R. & Yang, P. D. Giant piezoresistance effect in silicon nanowires. Nature Nanotechnol. 1, 42–46 (2006)
Jacobsen, R. S. et al. Strained silicon as a new electro-optic material. Nature 441, 199–202 (2006)
Acosta, A. & Sood, S. Engineering strained silicon: looking back and into the future. IEEE Potentials 25, 31–34 (2006)
Parton, E. & Verheyen, P. Strained silicon—the key to sub-45 nm CMOS. III–Vs Rev. 19, 28–31 (2006)
Foran, B., Clark, M. H. & Lian, G. Strain measurement by transmission electron microscopy. Future Fab Intl 20, 127–129 (2006)
Hÿtch, M. J., Snoeck, E., Houdellier, F. & Hüe, F. Procédé et système de mesure de déformations à l’échelle nanométrique. French Patent Application FR 07 06711.
Hirsch, P. B., Howie, A., Nicholson, R., Pashley, D. W. & Whelan, M. J. Electron Microscopy of Thin Crystals 2nd edn, ch. 15 (Krieger, Malabar, Florida, 1977)
McCartney, M. R. & Smith, D. J. Electron holography: Phase imaging with nanometer resolution. Annu. Rev. Mater. Res. 37, 729–767 (2007)
Zhang, P. et al. Direct strain measurement in a 65 nm node strained silicon transistor by convergent-beam electron diffraction. Appl. Phys. Lett. 89, 161907 (2006)
Usuda, K., Numata, T., Irisawa, T., Hirashita, N. & Takagi, S. Strain characterization in SOI and strained-Si on SGOI MOSFET channel using nano-beam electron diffraction (NBD). Mater. Sci. Eng. B 124, 143–147 (2005)
Li, J., Anjum, D., Hull, R., Xia, G. & Hoyt, J. L. Nanoscale stress analysis of strained-Si metal-oxide-semiconductor field-effect transistors by quantitative electron diffraction contrast imaging. Appl. Phys. Lett. 87, 222111 (2005)
Clément, L., Pantel, R., Kwakman, L. F. T. & Rouvière, J.-L. Strain measurements by convergent-beam electron diffraction: The importance of stress relaxation in lamella preparations. Appl. Phys. Lett. 85, 651–653 (2004)
Houdellier, F., Roucau, C., Clément, L., Rouvière, J.-L. & Casanove, M.-J. Quantitative analysis of HOLZ line splitting in CBED patterns of epitaxially strained layers. Ultramicroscopy 106, 951–959 (2006)
Hÿtch, M. J., Snoeck, E. & Kilaas, R. Quantitative measurement of displacement and strain fields from HREM micrographs. Ultramicroscopy 74, 131–146 (1998)
Hÿtch, M. J., Putaux, J.-L. & Pénisson, J.-M. Measurement of the displacement field around dislocations to 0.03 Å by electron microscopy. Nature 423, 270–273 (2003)
Johnson, C. L. et al. Effects of elastic anisotropy on strain distributions in decahedral gold nanoparticles. Nature Mater. 7, 120–124 (2008)
Hüe, F., Hÿtch, M. J., Bender, H., Houdellier, F. & Claverie, A. Direct mapping of strain in a strained-silicon transistor by high-resolution electron microscopy. Phys. Rev. Lett. 100, 156602 (2008)
Treacy, M. M. J., Gibson, J. M. & Howie, A. On elastic relaxation and long wavelength microstructures in spinodally decomposed InxGa1–xAsyP1–y epitaxial layers. Phil. Mag. A 51, 389–417 (1985)
Hÿtch, M. J. & Plamann, T. Imaging conditions for reliable measurement of displacement and strain from high-resolution electron microscope images. Ultramicroscopy 87, 199–212 (2001)
Loo, R. et al. A new technique to fabricate ultra-shallow-junctions, combining in situ vapour HCl etching and in situ doped epitaxial SiGe re-growth. Appl. Surf. Sci. 224, 63–67 (2004)
Hüe, F. et al. Calibration of projector lens distortions. J. Electron Microsc. (Tokyo) 54, 181–190 (2005)
Yeo, Y. C. & Sun, J. S. Finite-element study of strain distribution in transistor with silicon-germanium source and drain regions. Appl. Phys. Lett. 86, 023103 (2005)
Ishitani, T., Umemura, K., Ohnishi, T., Yaguchi, T. & Kamino, T. Improvements in performance of focused ion beam cross-sectioning: aspects of ion–sample interaction. J. Electron Microsc. 53, 443–449 (2004)
Rau, W. D., Schwander, P., Baumann, F. H., Hoppner, W. & Ourmazd, A. Two-dimensional mapping of the electrostatic potential in transistors by electron holography. Phys. Rev. Lett. 82, 2614–2617 (1999)
De Jong, N., Allioux, M., Oostveen, J. T., Teo, K. B. K. & Milne, W. I. Optical performance of carbon-nanotube electron sources. Phys. Rev. Lett. 94, 186807 (2005)
Wang, Y. Y. et al. Off-axis electron holography with a dual-lens imaging system and its usefulness in 2-D potential mapping of semiconductor devices. Ultramicroscopy 101, 63–72 (2004)
Harada, K., Akashi, T., Togawa, Y., Matsuda, T. & Tonomura, A. Optical system for double-biprism electron holography. J. Electron Microsc. 54, 19–27 (2005)
Snoeck, E., Hartel, P., Mueller, H., Haider, M. & Tiemeijer, P. C. Using a CEOS-objective lens corrector as a pseudo Lorentz lens in a Tecnai F20 TEM. Proc. 16th Intl Microsc. Congress 2, 730 (Japanese Society of Microscopy, Sapporo, 2006)
Huebner, K. H. H., Dewhirst, D. L., Smith, D. E. & Byrom, T. G. The Finite Element Method for Engineers (Wiley, New York, 2001)
Christiansen, S., Albrecht, M., Strunk, H. P. & Maier, H. J. Strained state of Ge(Si) islands on Si: Finite element calculations and comparison to convergent beam electron-diffraction measurements. Appl. Phys. Lett. 64, 3617–3619 (1994)
Acknowledgements
F.H. thanks the CEA-LETI for financial support. This work was partially supported by the European Union through the projects PullNano (Pulling the limits of nanoCMOS electronics, IST-026828) and ESTEEM (Enabling Science and Technology through European Electron Microscopy, IP3: 0260019).We thank P. Mooney for supplying the CCD camera calibration data, P. Verheyen and R. Loo for the device material, and N. Lou and P. Salles for help with FIB preparation.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hÿtch, M., Houdellier, F., Hüe, F. et al. Nanoscale holographic interferometry for strain measurements in electronic devices. Nature 453, 1086–1089 (2008). https://doi.org/10.1038/nature07049
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1038/nature07049
This article is cited by
-
Next-generation 2D optical strain mapping with strain-sensing smart skin compared to digital image correlation
Scientific Reports (2022)
-
Strained crystalline nanomechanical resonators with quality factors above 10 billion
Nature Physics (2022)
-
Direct growth of single-metal-atom chains
Nature Synthesis (2022)
-
3D Seed-Germination-Like MXene with In Situ Growing CNTs/Ni Heterojunction for Enhanced Microwave Absorption via Polarization and Magnetization
Nano-Micro Letters (2021)
-
Effect of In-Plane Biaxial Strain on the Dirac Cone in α-Graphyne and Band Gap in α-BNyne
Journal of Electronic Materials (2018)
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.