Estimation of Line Cross Sections Using Critical-Dimension Grazing-Incidence Small-Angle X-Ray Scattering
Abstract
Currently, the semiconductor industry is continuously pushing the limits of photolithography, with feature sizes now smaller than 10 nm. To ensure quality, it has become necessary to look beyond the conventional metrological techniques. X-ray scattering has emerged as a possible contender to determine the average shape of a line grating with subnanometer precision. Yet, to fulfill its promise, faster algorithms must also be developed to interpret and extract metrics from reciprocal-space scattering data. In this paper, we present a fast and accurate x-ray technique and analysis algorithm: critical-dimension grazing-incidence small-angle x-ray scattering (CD GISAXS). The CD GISAXS technique is used in grazing-incidence configuration with a continuous azimuthal rotation of the sample, and thus does not require high-energy x-rays to penetrate the wafer and greatly reduces the data-acquisition times, permitting analysis within the framework of the distorted-wave Born approximation.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Argonne National Lab. (ANL), Lemont, IL (United States)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Argonne National Lab. (ANL), Argonne, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
- OSTI Identifier:
- 1580408
- Alternate Identifier(s):
- OSTI ID: 1570442; OSTI ID: 1668644
- Report Number(s):
- BNL-219868-2020-JAAM
Journal ID: ISSN 2331-7019; PRAHB2; ark:/13030/qt6ks0c95w; TRN: US2102192
- Grant/Contract Number:
- AC02-06CH11357; AC02-98CH10886; SC0012704; AC02-76SF00515; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Applied
- Additional Journal Information:
- Journal Volume: 12; Journal Issue: 4; Journal ID: ISSN 2331-7019
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE
Citation Formats
Freychet, Guillaume, Kumar, Dinesh, Pandolfi, Ron J., Naulleau, Patrick, Cordova, Isvar, Ercius, Peter, Song, Chengyu, Strzalka, Joseph, and Hexemer, Alexander. Estimation of Line Cross Sections Using Critical-Dimension Grazing-Incidence Small-Angle X-Ray Scattering. United States: N. p., 2019.
Web. doi:10.1103/physrevapplied.12.044026.
Freychet, Guillaume, Kumar, Dinesh, Pandolfi, Ron J., Naulleau, Patrick, Cordova, Isvar, Ercius, Peter, Song, Chengyu, Strzalka, Joseph, & Hexemer, Alexander. Estimation of Line Cross Sections Using Critical-Dimension Grazing-Incidence Small-Angle X-Ray Scattering. United States. https://doi.org/10.1103/physrevapplied.12.044026
Freychet, Guillaume, Kumar, Dinesh, Pandolfi, Ron J., Naulleau, Patrick, Cordova, Isvar, Ercius, Peter, Song, Chengyu, Strzalka, Joseph, and Hexemer, Alexander. Fri .
"Estimation of Line Cross Sections Using Critical-Dimension Grazing-Incidence Small-Angle X-Ray Scattering". United States. https://doi.org/10.1103/physrevapplied.12.044026. https://www.osti.gov/servlets/purl/1580408.
@article{osti_1580408,
title = {Estimation of Line Cross Sections Using Critical-Dimension Grazing-Incidence Small-Angle X-Ray Scattering},
author = {Freychet, Guillaume and Kumar, Dinesh and Pandolfi, Ron J. and Naulleau, Patrick and Cordova, Isvar and Ercius, Peter and Song, Chengyu and Strzalka, Joseph and Hexemer, Alexander},
abstractNote = {Currently, the semiconductor industry is continuously pushing the limits of photolithography, with feature sizes now smaller than 10 nm. To ensure quality, it has become necessary to look beyond the conventional metrological techniques. X-ray scattering has emerged as a possible contender to determine the average shape of a line grating with subnanometer precision. Yet, to fulfill its promise, faster algorithms must also be developed to interpret and extract metrics from reciprocal-space scattering data. In this paper, we present a fast and accurate x-ray technique and analysis algorithm: critical-dimension grazing-incidence small-angle x-ray scattering (CD GISAXS). The CD GISAXS technique is used in grazing-incidence configuration with a continuous azimuthal rotation of the sample, and thus does not require high-energy x-rays to penetrate the wafer and greatly reduces the data-acquisition times, permitting analysis within the framework of the distorted-wave Born approximation.},
doi = {10.1103/physrevapplied.12.044026},
journal = {Physical Review Applied},
number = 4,
volume = 12,
place = {United States},
year = {2019},
month = {10}
}
Web of Science
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Works referenced in this record:
CD SEM metrology macro CD technology: beyond the average
conference, May 2005
- Bunday, Benjamin D.; Michelson, Di K.; Allgair, John A.
- Microlithography 2005, SPIE Proceedings
Reconstructing the three-dimensional latent image of extreme ultraviolet resists with resonant soft x-ray scattering
journal, April 2019
- Freychet, Guillaume; Cordova, Isvar A.; McAfee, Terry
- Journal of Micro/Nanolithography, MEMS, and MOEMS, Vol. 18, Issue 02
HipGISAXS : a high-performance computing code for simulating grazing-incidence X-ray scattering data
journal, November 2013
- Chourou, Slim T.; Sarje, Abhinav; Li, Xiaoye S.
- Journal of Applied Crystallography, Vol. 46, Issue 6
High accuracy CD matching monitor for CD-SEM beyond 20nm process
conference, April 2013
- Ueda, K.; Mizuno, T.; Setoguchi, K.
- SPIE Advanced Lithography, SPIE Proceedings
Fundamental limits of optical critical dimension metrology: a simulation study
conference, March 2007
- Silver, Richard; Germer, Thomas; Attota, Ravikiran
- Advanced Lithography, SPIE Proceedings
Gaps analysis for CD metrology beyond the 22nm node
conference, April 2013
- Bunday, Benjamin; Germer, Thomas A.; Vartanian, Victor
- SPIE Advanced Lithography, SPIE Proceedings
X-ray and neutron scattering from rough surfaces
journal, August 1988
- Sinha, S. K.; Sirota, E. B.; Garoff, S.
- Physical Review B, Vol. 38, Issue 4
IsGISAXS : a program for grazing-incidence small-angle X-ray scattering analysis of supported islands
journal, July 2002
- Lazzari, Rémi
- Journal of Applied Crystallography, Vol. 35, Issue 4
A study of lateral roughness evaluation through critical-dimension small angle x-ray scattering (CD-SAXS)
conference, March 2016
- Freychet, G.; Cadoux, C.; Blancquaert, Y.
- SPIE Advanced Lithography, SPIE Proceedings
In Situ GIWAXS Analysis of Solvent and Additive Effects on PTB7 Thin Film Microstructure Evolution during Spin Coating
journal, October 2017
- Manley, Eric F.; Strzalka, Joseph; Fauvell, Thomas J.
- Advanced Materials, Vol. 29, Issue 43
Grazing incident small angle x-ray scattering: A metrology to probe nanopatterned surfaces
journal, January 2009
- Hofmann, T.; Dobisz, E.; Ocko, B. M.
- Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, Vol. 27, Issue 6
Small angle x-ray scattering for sub-100 nm pattern characterization
journal, November 2003
- Jones, Ronald L.; Hu, Tengjiao; Lin, Eric K.
- Applied Physics Letters, Vol. 83, Issue 19
Determining the shape and periodicity of nanostructures using small-angle X-ray scattering
journal, August 2015
- Sunday, Daniel F.; List, Scott; Chawla, Jasmeet S.
- Journal of Applied Crystallography, Vol. 48, Issue 5
Advancing x-ray scattering metrology using inverse genetic algorithms
journal, July 2016
- Hannon, Adam F.; Sunday, Daniel F.; Windover, Donald
- Journal of Micro/Nanolithography, MEMS, and MOEMS, Vol. 15, Issue 3
Nanometrology on gratings with GISAXS: FEM reconstruction and fourier analysis
conference, April 2014
- Soltwisch, Victor; Wernecke, Jan; Haase, Anton
- SPIE Advanced Lithography, SPIE Proceedings
On the intersection of grating truncation rods with the Ewald sphere studied by grazing-incidence small-angle X-ray scattering
journal, November 2007
- Yan, Minhao; Gibaud, Alain
- Journal of Applied Crystallography, Vol. 40, Issue 6
Three-dimensional x-ray metrology for block copolymer lithography line-space patterns
journal, July 2013
- Sunday, Daniel F.; Hammond, Matthew R.; Wang, Chengqing
- Journal of Micro/Nanolithography, MEMS, and MOEMS, Vol. 12, Issue 3
Grazing-incidence transmission X-ray scattering: surface scattering in the Born approximation
journal, January 2013
- Lu, Xinhui; Yager, Kevin G.; Johnston, Danvers
- Journal of Applied Crystallography, Vol. 46, Issue 1
Probing surface and interface morphology with Grazing Incidence Small Angle X-Ray Scattering
journal, August 2009
- Renaud, Gilles; Lazzari, Rémi; Leroy, Frédéric
- Surface Science Reports, Vol. 64, Issue 8
Template-polymer commensurability and directed self-assembly block copolymer lithography
journal, February 2015
- Sunday, Daniel F.; Ashley, Elizabeth; Wan, Lei
- Journal of Polymer Science Part B: Polymer Physics, Vol. 53, Issue 8
Coplanar and non-coplanar x-ray reflectivity characterization of lateral W/Si multilayer gratings
journal, May 2001
- Mikulík, P.; Jergel, M.; Baumbach, T.
- Journal of Physics D: Applied Physics, Vol. 34, Issue 10A
Removal of poly(methyl methacrylate) in diblock copolymers films studied by grazing incidence small-angle X-ray scattering
journal, February 2016
- Freychet, Guillaume; Maret, Mireille; Tiron, Raluca
- Journal of Polymer Science Part B: Polymer Physics, Vol. 54, Issue 12
Characterization of the shape and line-edge roughness of polymer gratings with grazing incidence small-angle X-ray scattering and atomic force microscopy
journal, April 2016
- Suh, Hyo Seon; Chen, Xuanxuan; Rincon-Delgadillo, Paulina A.
- Journal of Applied Crystallography, Vol. 49, Issue 3
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