High resolution grazing-incidence in-plane x-ray diffraction for measuring the strain of a Si thin layer

J Phys Condens Matter. 2010 Dec 1;22(47):474004. doi: 10.1088/0953-8984/22/47/474004. Epub 2010 Nov 15.

Abstract

We have measured the strain of a thin Si layer deposited on a SiGe layer using a high resolution x-ray diffraction system. The Si layer was deposited on the SiGe layer in order to introduce a tensile strain to the Si layer. To measure the in-plane lattice constant accurately, we have employed so-called grazing-incidence in-plane diffraction. For this measurement, we have made a new five-axis x-ray goniometer which has four ordinal circles (ω, 2θ, χ, φ) plus a counter-χ-axis for selecting the exit angle of the diffracted x-rays. In grazing-incidence geometry, an incident x-ray is focused on the sample surface in order to obtain good diffraction intensity even though the layer thickness is less than 5 nm. Because diffracted x-rays are detected through analyzer crystals, the diffraction angle can be determined with an accuracy of ± 0.0003°. This indicates that the strain sensitivity is about 10( - 5) when we measure in-plane Si 220 diffraction. Use of x-ray diffraction could be the best standard metrology method for determining strain in thin layers. Furthermore, we have demonstrated that incident/exit angle selected in-plane diffraction is very useful for height/depth selective strain determination.

MeSH terms

  • Algorithms*
  • Elastic Modulus
  • Materials Testing / methods*
  • Membranes, Artificial*
  • Silicon / chemistry*
  • Stress, Mechanical
  • Surface Properties
  • X-Ray Diffraction / methods*

Substances

  • Membranes, Artificial
  • Silicon