Logo PTB

Detection of anisotropy in the optical constants of quartz crystals for soft X-rays


Comparison of the measured reflections for the crystal directions (100) and (001) at a fixed angle of incidence θi around the Si L2,3 absorption edges. The lower map shows the respective anisotropy.

Quartz is an important substrate material for semiconductor structures and is used in a wide variety of industrial fields, for example as a substrate for various mirrors, nanostructures or other functional surfaces features. For the development of new optical components and the corresponding modeling of the light-matter interaction, the accurate knowledge of optical material parameters is of exceeding importance.

In recent years, methods for determining the optical constants of materials with synchrotron radiation have been established in the PTB. A cooperation of the PTB (working groups 7.14 EUV Nanometrology, 7.12 EUV Radiometry and 7.24 X-ray Spectrometry) with the National Institute for Standards and Technology (NIST) in the U.S. has now resulted in improved data sets for the optical constants of quartz in the spectral range of soft X-rays. The values reconstructed from reflectance measurements not only extend the existing literature with detailed data at the silicon and oxygen absorption edges, but also substantiate the postulated anisotropy of the quartz crystal. The results were confirmed by simulations using the ab-initio Bethe-Salpeter equation developed at NIST. These simulations are critical to better predict the fine structure at the edges and opens new possibilities for chemical analysis. This new dataset is part of the ATMOC initiative for the development of a European optical constants database which is being driven by PTB.


A. Andrle, P. Hönicke, J. Vinson, R. Quintanilha, Q. Saadeh, S. Heidenreich, F. Scholze, V. Soltwisch, "The anisotropy in the optical constants of quartz crystals for soft X-rays", J. Appl. Cryst. 54, 1-7 (2020)


A. Andrle, 7.14, E-Mail: Opens local program for sending emailAnna.Andrle(at)ptb.de


Head of Press and Information Office

Dr. Dr. Jens Simon

Phone: +49 531 592-3005


Physikalisch-Technische Bundesanstalt
Bundesallee 100
38116 Braunschweig