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Lorenz M, Kirsch C, Peille P, Ballhausen R, Fioretti V, Lotti S, Dauser T, Wilms J. Simulation of Radiative Transfer Within X-ray Microcalorimeter Absorbers. J Low Temp Phys 2022; 209:464-472. [PMID: 36439908 PMCID: PMC9684269 DOI: 10.1007/s10909-022-02754-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/01/2021] [Accepted: 05/13/2022] [Indexed: 06/16/2023]
Abstract
We present Monte Carlo simulations of radiative transfer within the absorbers of X-ray microcalorimeters, utilizing a numerical model for the photon propagation and photon absorption process within the absorber structure. In our model, we include effects of Compton scattering off bound electrons and fluorescence. Scattered or fluorescence photons as well as Auger and photoelectrons escaping the absorber can result in partial energy depositions. By implementing a simplified description of the physical processes compared to existing comprehensive particle transport software frameworks, our model aims to provide representative results at a small computational effort. This approach makes it possible to use our model for quick assessments, parametric studies, and application in other Monte Carlo-based instrument simulators like SIXTE, a software package for X-ray astronomical instrumentation. To study the impact of the energy loss effects on the spectral response of a microcalorimeter, we apply our model to the sensors of the cryogenic X-ray spectrometer X-IFU onboard the future Athena X-ray observatory.
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Affiliation(s)
- M. Lorenz
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Dr. Karl Remeis-Observatory & ECAP, Sternwartstr. 7, 96049 Bamberg, Germany
| | - C. Kirsch
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Dr. Karl Remeis-Observatory & ECAP, Sternwartstr. 7, 96049 Bamberg, Germany
| | - P. Peille
- CNES, 18 Av. Édouard Belin, 31401 Toulouse Dedex 9, France
| | - R. Ballhausen
- Department of Astronomy, University of Maryland, College Park, MD 20742 USA
- Astrophysics Science Division, NASA-GSFC/CRESST, Greenbelt, MD 20771 USA
| | - V. Fioretti
- INAF OAS Bologna, Via P. Gobetti 93/3, 40129 Bologna, Italy
| | - S. Lotti
- INAF IAPS, Via fosso del Cavaliere 100, 00133 Roma, Italy
| | - T. Dauser
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Dr. Karl Remeis-Observatory & ECAP, Sternwartstr. 7, 96049 Bamberg, Germany
| | - J. Wilms
- Friedrich-Alexander-Universität Erlangen-Nürnberg, Dr. Karl Remeis-Observatory & ECAP, Sternwartstr. 7, 96049 Bamberg, Germany
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Stierhof J, Kühn S, Winter M, Micke P, Steinbrügge R, Shah C, Hell N, Bissinger M, Hirsch M, Ballhausen R, Lang M, Gräfe C, Wipf S, Cumbee R, Betancourt-Martinez GL, Park S, Niskanen J, Chung M, Porter FS, Stöhlker T, Pfeifer T, Brown GV, Bernitt S, Hansmann P, Wilms J, Crespo López-Urrutia JR, Leutenegger MA. A new benchmark of soft X-ray transition energies of Ne , CO 2 , and SF 6 : paving a pathway towards ppm accuracy. Eur Phys J D At Mol Opt Phys 2022; 76:38. [PMID: 35273463 PMCID: PMC8888507 DOI: 10.1140/epjd/s10053-022-00355-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 11/30/2021] [Accepted: 01/23/2022] [Indexed: 06/14/2023]
Abstract
ABSTRACT A key requirement for the correct interpretation of high-resolution X-ray spectra is that transition energies are known with high accuracy and precision. We investigate the K-shell features of Ne , CO 2 , and SF 6 gases, by measuring their photo ion-yield spectra at the BESSY II synchrotron facility simultaneously with the 1s-np fluorescence emission of He-like ions produced in the Polar-X EBIT. Accurate ab initio calculations of transitions in these ions provide the basis of the calibration. While the CO 2 result agrees well with previous measurements, the SF 6 spectrum appears shifted by ∼ 0.5 eV, about twice the uncertainty of the earlier results. Our result for Ne shows a large departure from earlier results, but may suffer from larger systematic effects than our other measurements. The molecular spectra agree well with our results of time-dependent density functional theory. We find that the statistical uncertainty allows calibrations in the desired range of 1-10 meV, however, systematic contributions still limit the uncertainty to ∼ 40-100 meV, mainly due to the temporal stability of the monochromator energy scale. Combining our absolute calibration technique with a relative energy calibration technique such as photoelectron energy spectroscopy will be necessary to realize its full potential of achieving uncertainties as low as 1-10 meV.
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Affiliation(s)
- J. Stierhof
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | - S. Kühn
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - M. Winter
- Institute of Theoretical Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, 91058 Erlangen, Germany
- CNRS, Institut NEEL, Université Grenoble Alpes, CNRS, Institut NEEL, 25 rue des Martyrs BP 166, 38042 Grenoble Cedex 9, France
| | - P. Micke
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- CERN, 1211 Geneva 23, Switzerland
| | - R. Steinbrügge
- Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany
| | - C. Shah
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- NASA Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD 20771 USA
- Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, CA 94550 USA
| | - N. Hell
- Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, CA 94550 USA
| | - M. Bissinger
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | - M. Hirsch
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | - R. Ballhausen
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | - M. Lang
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | - C. Gräfe
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | - S. Wipf
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - R. Cumbee
- NASA Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD 20771 USA
- Department of Astronomy, University of Maryland, College Park, MD 20742 USA
| | - G. L. Betancourt-Martinez
- Institut de Recherche en Astrophysique et Planétologie, 9, avenue du Colonel Roche BP 44346, 31028 Toulouse Cedex 4, France
| | - S. Park
- Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan, South Korea
| | - J. Niskanen
- Institute for Methods and Instrumentation in Synchrotron Radiation Research G-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, 12489 Berlin, Germany
| | - M. Chung
- Ulsan National Institute of Science and Technology, 50 UNIST-gil, Ulsan, South Korea
| | - F. S. Porter
- NASA Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD 20771 USA
| | - T. Stöhlker
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - T. Pfeifer
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - G. V. Brown
- Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, CA 94550 USA
| | - S. Bernitt
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - P. Hansmann
- Institute of Theoretical Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Staudtstr. 7/B2, 91058 Erlangen, Germany
| | - J. Wilms
- Dr. Karl Remeis-Observatory and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstr. 7, 96049 Bamberg, Germany
| | | | - M. A. Leutenegger
- NASA Goddard Space Flight Center, 8800 Greenbelt Rd., Greenbelt, MD 20771 USA
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Leutenegger MA, Kühn S, Micke P, Steinbrügge R, Stierhof J, Shah C, Hell N, Bissinger M, Hirsch M, Ballhausen R, Lang M, Gräfe C, Wipf S, Cumbee R, Betancourt-Martinez GL, Park S, Yerokhin VA, Surzhykov A, Stolte WC, Niskanen J, Chung M, Porter FS, Stöhlker T, Pfeifer T, Wilms J, Brown GV, Crespo López-Urrutia JR, Bernitt S. High-Precision Determination of Oxygen K_{α} Transition Energy Excludes Incongruent Motion of Interstellar Oxygen. Phys Rev Lett 2020; 125:243001. [PMID: 33412031 DOI: 10.1103/physrevlett.125.243001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/30/2020] [Revised: 10/19/2020] [Accepted: 10/30/2020] [Indexed: 06/12/2023]
Abstract
We demonstrate a widely applicable technique to absolutely calibrate the energy scale of x-ray spectra with experimentally well-known and accurately calculable transitions of highly charged ions, allowing us to measure the K-shell Rydberg spectrum of molecular O_{2} with 8 meV uncertainty. We reveal a systematic ∼450 meV shift from previous literature values, and settle an extraordinary discrepancy between astrophysical and laboratory measurements of neutral atomic oxygen, the latter being calibrated against the aforementioned O_{2} literature values. Because of the widespread use of such, now deprecated, references, our method impacts on many branches of x-ray absorption spectroscopy. Moreover, it potentially reduces absolute uncertainties there to below the meV level.
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Affiliation(s)
- M A Leutenegger
- NASA Goddard Space Flight Center, 8800 Greenbelt Road, Greenbelt, Maryland 20771, USA
| | - S Kühn
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - P Micke
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
| | - R Steinbrügge
- Deutsches Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - J Stierhof
- Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstrasse 7, 96049 Bamberg, Germany
| | - C Shah
- NASA Goddard Space Flight Center, 8800 Greenbelt Road, Greenbelt, Maryland 20771, USA
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - N Hell
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | - M Bissinger
- Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Erwin-Rommel-Strasse 1, 91058 Erlangen, Germany
| | - M Hirsch
- Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstrasse 7, 96049 Bamberg, Germany
| | - R Ballhausen
- Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstrasse 7, 96049 Bamberg, Germany
| | - M Lang
- Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstrasse 7, 96049 Bamberg, Germany
| | - C Gräfe
- Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstrasse 7, 96049 Bamberg, Germany
| | - S Wipf
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
| | - R Cumbee
- NASA Goddard Space Flight Center, 8800 Greenbelt Road, Greenbelt, Maryland 20771, USA
- Department of Astronomy, University of Maryland, College Park, Maryland 20742, USA
| | - G L Betancourt-Martinez
- Institut de Recherche en Astrophysique et Planétologie, 9, avenue du Colonel Roche BP 44346, 31028 Toulouse Cedex 4, France
| | - S Park
- Ulsan National Institute of Science and Technology, 50 UNIST-gil, 44919 Ulsan, Republic of Korea
| | - V A Yerokhin
- Peter the Great St. Petersburg Polytechnic University, 195251 St. Petersburg, Russia
| | - A Surzhykov
- Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany
- Institut für Mathematische Physik, Technische Universität Braunschweig, D-38106 Braunschweig, Germany
| | - W C Stolte
- Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - J Niskanen
- Institute for Methods and Instrumentation in Synchrotron Radiation Research G-ISRR, Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, 12489 Berlin, Germany
- Department of Physics and Astronomy, University of Turku, FI-20014 Turun Yliopisto, Finland
| | - M Chung
- Ulsan National Institute of Science and Technology, 50 UNIST-gil, 44919 Ulsan, Republic of Korea
| | - F S Porter
- NASA Goddard Space Flight Center, 8800 Greenbelt Road, Greenbelt, Maryland 20771, USA
| | - T Stöhlker
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - T Pfeifer
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - J Wilms
- Remeis-Sternwarte and Erlangen Centre for Astroparticle Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Sternwartstrasse 7, 96049 Bamberg, Germany
| | - G V Brown
- Lawrence Livermore National Laboratory, 7000 East Avenue, Livermore, California 94550, USA
| | | | - S Bernitt
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
- Institut für Optik und Quantenelektronik, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany
- Helmholtz-Institut Jena, Fröbelstieg 3, 07743 Jena, Germany
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