1
|
Nagayama T, Schaeuble MA, Fein JR, Loisel GP, Wu M, Mayes DC, Hansen SB, Knapp PF, Webb TJ, Schwarz J, Vesey RA. A generalized approach to x-ray data modeling for high-energy-density plasma experiments. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2023; 94:2887772. [PMID: 37129462 DOI: 10.1063/5.0128811] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2022] [Accepted: 03/27/2023] [Indexed: 05/03/2023]
Abstract
Accurate understanding of x-ray diagnostics is crucial for both interpreting high-energy-density experiments and testing simulations through quantitative comparisons. X-ray diagnostic models are complex. Past treatments of individual x-ray diagnostics on a case-by-case basis have hindered universal diagnostic understanding. Here, we derive a general formula for modeling the absolute response of non-focusing x-ray diagnostics, such as x-ray imagers, one-dimensional space-resolved spectrometers, and x-ray power diagnostics. The present model is useful for both data modeling and data processing. It naturally accounts for the x-ray crystal broadening. The new model verifies that standard approaches for a crystal response can be good approximations, but they can underestimate the total reflectivity and overestimate spectral resolving power by more than a factor of 2 in some cases near reflectivity edge features. We also find that a frequently used, simplified-crystal-response approximation for processing spectral data can introduce an absolute error of more than an order of magnitude and the relative spectral radiance error of a factor of 3. The present model is derived with straightforward geometric arguments. It is more general and is recommended for developing a unified picture and providing consistent treatment over multiple x-ray diagnostics. Such consistency is crucial for reliable multi-objective data analyses.
Collapse
Affiliation(s)
- T Nagayama
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - M A Schaeuble
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - J R Fein
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - G P Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - M Wu
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - D C Mayes
- University of Texas at Austin, Austin, Texas 78712, USA
| | - S B Hansen
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - P F Knapp
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - T J Webb
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - J Schwarz
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - R A Vesey
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| |
Collapse
|
2
|
Mayes DC, Mancini RC, Lockard TE, Hall IM, Bailey JE, Loisel GP, Nagayama T, Rochau GA, Liedahl DA. Observation of ionization trends in a laboratory photoionized plasma experiment at Z. Phys Rev E 2021; 104:035202. [PMID: 34654098 DOI: 10.1103/physreve.104.035202] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/26/2021] [Accepted: 08/09/2021] [Indexed: 11/07/2022]
Abstract
We report experimental and modeling results for the charge state distribution of laboratory photoionized neon plasmas in the first systematic study over nearly an order of magnitude range of ionization parameter ξ∝F/N_{e}. The range of ξ is achieved by flexibility in the experimental platform to adjust either the x-ray drive flux F at the sample or the electron number density N_{e} or both. Experimental measurements of photoionized plasma conditions over such a range of parameters enable a stringent test of atomic kinetics models used within codes that are applied to photoionized plasmas in the laboratory and astrophysics. From experimental transmission data, ion areal densities are extracted by spectroscopic analysis that is independent of atomic kinetics modeling. The measurements reveal the net result of the competition between photon-driven ionization and electron-driven recombination atomic processes as a function of ξ as it affects the charge state distribution. Results from radiation-hydrodynamics modeling calculations with detailed inline atomic kinetics modeling are compared with the experimental results. There is good agreement in the mean charge and overall qualitative similarities in the trends observed with ξ but significant quantitative differences in the fractional populations of individual ions.
Collapse
Affiliation(s)
- D C Mayes
- Department of Physics, University of Nevada, Reno, Nevada 89557, USA
| | - R C Mancini
- Department of Physics, University of Nevada, Reno, Nevada 89557, USA
| | - T E Lockard
- Department of Physics, University of Nevada, Reno, Nevada 89557, USA
| | - I M Hall
- Department of Physics, University of Nevada, Reno, Nevada 89557, USA
| | - J E Bailey
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G P Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - T Nagayama
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G A Rochau
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - D A Liedahl
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| |
Collapse
|
3
|
Hell N, Beiersdorfer P, Brown GV, Lockard TE, Magee EW, Shepherd R, Hoarty DJ, Brown CRD, Hill MP, Hobbs LMR, James SF, Lynch C, Caughey TA. Recent enhancements in the performance of the Orion high-resolution x-ray spectrometers. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2021; 92:043507. [PMID: 34243402 DOI: 10.1063/5.0043804] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/11/2021] [Accepted: 03/17/2021] [Indexed: 06/13/2023]
Abstract
During the past few years, the Orion high-resolution x-ray spectrometers have been successful tools for measuring x-ray spectra from plasmas generated in the Orion laser facility. Duplicate spectrometers also operate successfully at the Livermore EBIT-I and SuperEBIT electron beam ion traps for measuring x-ray polarization. We have recently implemented very high-quality, optically bonded, spherically bent quartz crystals to remove the structure in the x-ray image that had been observed in earlier measurements. The structure had been caused by focusing defects and limited the accuracy of our measurements. We present before and after images that show a drastic improvement. We, furthermore, have implemented a spherically bent potassium acid phthalate (KAP) crystal on one of our spectrometers. The KAP crystal was prepared in a similar fashion, and we present measurements of the N Ly-β and Ne Lyβ lines taken in first- and second-order reflections at 600 and 1200 eV, respectively. These measurements confirm that KAP crystals can be produced at a quality suitable for extending the spectral coverage to wavelengths longer than those accessible by different quartz crystals, especially those that cover the astrophysically important lines of iron.
Collapse
Affiliation(s)
- N Hell
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - P Beiersdorfer
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - G V Brown
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - T E Lockard
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - E W Magee
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - R Shepherd
- Physics Division, Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - D J Hoarty
- Directorate of Research and Applied Science, AWE Plc, Reading RG7 4PR, United Kingdom
| | - C R D Brown
- Directorate of Research and Applied Science, AWE Plc, Reading RG7 4PR, United Kingdom
| | - M P Hill
- Directorate of Research and Applied Science, AWE Plc, Reading RG7 4PR, United Kingdom
| | - L M R Hobbs
- Directorate of Research and Applied Science, AWE Plc, Reading RG7 4PR, United Kingdom
| | - S F James
- Directorate of Research and Applied Science, AWE Plc, Reading RG7 4PR, United Kingdom
| | - C Lynch
- Inrad Optics, Northvale, New Jersey 07647, USA
| | - T A Caughey
- Inrad Optics, Northvale, New Jersey 07647, USA
| |
Collapse
|
4
|
Hobbs LMR, Brant S, Brent K, Hoarty D, Bentley C. A new double crystal calibration system for absolute x-ray emission measurements down to ∼1 keV energies. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2020; 91:033107. [PMID: 32259969 DOI: 10.1063/1.5139706] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/22/2019] [Accepted: 02/28/2020] [Indexed: 06/11/2023]
Abstract
Over the past few years, work has been conducted at AWE to accurately characterize x-ray diffraction crystals to allow for absolute measurements of x-ray emission for our Orion opacity campaigns. Diffraction crystals are used in spectrometers on Orion to record the dispersed spectral features emitted by the laser produced plasma to obtain a measurement of the plasma conditions. Previously, based on a Manson x-ray source, our calibration system struggled to attain a high signal at the low energies required in calibration for the use of aluminum as a tracer for higher atomic number experiments. Here, we present data from the newly commissioned CTX400 x-ray source, a twin anode water cooled system, showing it to be a bright source even for ∼1 keV energies. Rocking curve measurements for three of the most commonly used crystals, namely, pentaerythritol, cesium acid phthalate, and germanium, are presented for both convex and flat forms.
Collapse
Affiliation(s)
- L M R Hobbs
- AWE Plc, Aldermaston, Reading RG4 7PR, United Kingdom
| | - S Brant
- AWE Plc, Aldermaston, Reading RG4 7PR, United Kingdom
| | - K Brent
- AWE Plc, Aldermaston, Reading RG4 7PR, United Kingdom
| | - D Hoarty
- AWE Plc, Aldermaston, Reading RG4 7PR, United Kingdom
| | - C Bentley
- AWE Plc, Aldermaston, Reading RG4 7PR, United Kingdom
| |
Collapse
|
5
|
Nagayama T, Bailey JE, Loisel GP, Dunham GS, Rochau GA, Blancard C, Colgan J, Cossé P, Faussurier G, Fontes CJ, Gilleron F, Hansen SB, Iglesias CA, Golovkin IE, Kilcrease DP, MacFarlane JJ, Mancini RC, More RM, Orban C, Pain JC, Sherrill ME, Wilson BG. Systematic Study of L-Shell Opacity at Stellar Interior Temperatures. PHYSICAL REVIEW LETTERS 2019; 122:235001. [PMID: 31298873 DOI: 10.1103/physrevlett.122.235001] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2019] [Indexed: 06/10/2023]
Abstract
The first systematic study of opacity dependence on atomic number at stellar interior temperatures is used to evaluate discrepancies between measured and modeled iron opacity [J. E. Bailey et al., Nature (London) 517, 56 (2015)NATUAS0028-083610.1038/nature14048]. High-temperature (>180 eV) chromium and nickel opacities are measured with ±6%-10% uncertainty, using the same methods employed in the previous iron experiments. The 10%-20% experiment reproducibility demonstrates experiment reliability. The overall model-data disagreements are smaller than for iron. However, the systematic study reveals shortcomings in models for density effects, excited states, and open L-shell configurations. The 30%-45% underestimate in the modeled quasicontinuum opacity at short wavelengths was observed only from iron and only at temperature above 180 eV. Thus, either opacity theories are missing physics that has nonmonotonic dependence on the number of bound electrons or there is an experimental flaw unique to the iron measurement at temperatures above 180 eV.
Collapse
Affiliation(s)
- T Nagayama
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - J E Bailey
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G P Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G S Dunham
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G A Rochau
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | | | - J Colgan
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Ph Cossé
- CEA, DAM, DIF, F-91297 Arpajon, France
| | | | - C J Fontes
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | | | - S B Hansen
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - C A Iglesias
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| | - I E Golovkin
- Prism Computational Sciences, Madison, Wisconsin 53711, USA
| | - D P Kilcrease
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J J MacFarlane
- Prism Computational Sciences, Madison, Wisconsin 53711, USA
| | - R C Mancini
- University of Nevada, Reno, Nevada 89557, USA
| | - R M More
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - C Orban
- Ohio State University, Columbus, Ohio 43210, USA
| | - J-C Pain
- CEA, DAM, DIF, F-91297 Arpajon, France
| | - M E Sherrill
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - B G Wilson
- Lawrence Livermore National Laboratory, Livermore, California 94550, USA
| |
Collapse
|
6
|
Nagayama T, Bailey JE, Loisel GP, Rochau GA, MacFarlane JJ, Golovkin IE. Numerical investigations of potential systematic uncertainties in iron opacity measurements at solar interior temperatures. Phys Rev E 2017; 95:063206. [PMID: 28709238 DOI: 10.1103/physreve.95.063206] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2017] [Indexed: 06/07/2023]
Abstract
Iron opacity calculations presently disagree with measurements at an electron temperature of ∼180-195 eV and an electron density of (2-4)×10^{22}cm^{-3}, conditions similar to those at the base of the solar convection zone. The measurements use x rays to volumetrically heat a thin iron sample that is tamped with low-Z materials. The opacity is inferred from spectrally resolved x-ray transmission measurements. Plasma self-emission, tamper attenuation, and temporal and spatial gradients can all potentially cause systematic errors in the measured opacity spectra. In this article we quantitatively evaluate these potential errors with numerical investigations. The analysis exploits computer simulations that were previously found to reproduce the experimentally measured plasma conditions. The simulations, combined with a spectral synthesis model, enable evaluations of individual and combined potential errors in order to estimate their potential effects on the opacity measurement. The results show that the errors considered here do not account for the previously observed model-data discrepancies.
Collapse
Affiliation(s)
- T Nagayama
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - J E Bailey
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G P Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G A Rochau
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - J J MacFarlane
- Prism Computational Sciences, Madison, Wisconsin 53711, USA
| | - I E Golovkin
- Prism Computational Sciences, Madison, Wisconsin 53711, USA
| |
Collapse
|
7
|
Loisel GP, Wu M, Stolte W, Kruschwitz C, Lake P, Dunham GS, Bailey JE, Rochau GA. Measurement and models of bent KAP(001) crystal integrated reflectivity and resolution (invited). THE REVIEW OF SCIENTIFIC INSTRUMENTS 2016; 87:11D502. [PMID: 27910652 DOI: 10.1063/1.4960149] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The Advanced Light Source beamline-9.3.1 x-rays are used to calibrate the rocking curve of bent potassium acid phthalate (KAP) crystals in the 2.3-4.5 keV photon-energy range. Crystals are bent on a cylindrically convex substrate with a radius of curvature ranging from 2 to 9 in. and also including the flat case to observe the effect of bending on the KAP spectrometric properties. As the bending radius increases, the crystal reflectivity converges to the mosaic crystal response. The X-ray Oriented Programs (xop) multi-lamellar model of bent crystals is used to model the rocking curve of these crystals and the calibration data confirm that a single model is adequate to reproduce simultaneously all measured integrated reflectivities and rocking-curve FWHM for multiple radii of curvature in both 1st and 2nd order of diffraction.
Collapse
Affiliation(s)
- G P Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - M Wu
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - W Stolte
- National Security Technologies, LLC, Livermore, California 94551, USA
| | - C Kruschwitz
- National Security Technologies, LLC, Los Alamos, New Mexico 87544, USA
| | - P Lake
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G S Dunham
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - J E Bailey
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G A Rochau
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| |
Collapse
|
8
|
Loisel G, Lake P, Gard P, Dunham G, Nielsen-Weber L, Wu M, Norris E. X-ray intensity and source size characterizations for the 25 kV upgraded Manson source at Sandia National Laboratories. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2016; 87:11D613. [PMID: 27910443 DOI: 10.1063/1.4960064] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
At Sandia National Laboratories, the x-ray generator Manson source model 5 was upgraded from 10 to 25 kV. The purpose of the upgrade is to drive higher characteristics photon energies with higher throughput. In this work we present characterization studies for the source size and the x-ray intensity when varying the source voltage for a series of K-, L-, and M-shell lines emitted from Al, Y, and Au elements composing the anode. We used a 2-pinhole camera to measure the source size and an energy dispersive detector to monitor the spectral content and intensity of the x-ray source. As the voltage increases, the source size is significantly reduced and line intensity is increased for the three materials. We can take advantage of the smaller source size and higher source throughput to effectively calibrate the suite of Z Pulsed Power Facility crystal spectrometers.
Collapse
Affiliation(s)
- G Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - P Lake
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - P Gard
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G Dunham
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - L Nielsen-Weber
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - M Wu
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - E Norris
- Missouri University of Science and Technology, Rolla, Missouri 65409, USA
| |
Collapse
|
9
|
Nagayama T, Bailey JE, Loisel G, Rochau GA, MacFarlane JJ, Golovkin I. Calibrated simulations of Z opacity experiments that reproduce the experimentally measured plasma conditions. Phys Rev E 2016; 93:023202. [PMID: 26986427 DOI: 10.1103/physreve.93.023202] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/04/2015] [Indexed: 06/05/2023]
Abstract
Recently, frequency-resolved iron opacity measurements at electron temperatures of 170-200 eV and electron densities of (0.7-4.0)×10(22)cm(-3) revealed a 30-400% disagreement with the calculated opacities [J. E. Bailey et al., Nature (London) 517, 56 (2015)]. The discrepancies have a high impact on astrophysics, atomic physics, and high-energy density physics, and it is important to verify our understanding of the experimental platform with simulations. Reliable simulations are challenging because the temporal and spatial evolution of the source radiation and of the sample plasma are both complex and incompletely diagnosed. In this article, we describe simulations that reproduce the measured temperature and density in recent iron opacity experiments performed at the Sandia National Laboratories Z facility. The time-dependent spectral irradiance at the sample is estimated using the measured time- and space-dependent source radiation distribution, in situ source-to-sample distance measurements, and a three-dimensional (3D) view-factor code. The inferred spectral irradiance is used to drive 1D sample radiation hydrodynamics simulations. The images recorded by slit-imaged space-resolved spectrometers are modeled by solving radiation transport of the source radiation through the sample. We find that the same drive radiation time history successfully reproduces the measured plasma conditions for eight different opacity experiments. These results provide a quantitative physical explanation for the observed dependence of both temperature and density on the sample configuration. Simulated spectral images for the experiments without the FeMg sample show quantitative agreement with the measured spectral images. The agreement in spectral profile, spatial profile, and brightness provides further confidence in our understanding of the backlight-radiation time history and image formation. These simulations bridge the static-uniform picture of the data interpretation and the dynamic-gradient reality of the experiments, and they will allow us to quantitatively assess the impact of effects neglected in the data interpretation.
Collapse
Affiliation(s)
- T Nagayama
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - J E Bailey
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - G A Rochau
- Sandia National Laboratories, Albuquerque, New Mexico 87185, USA
| | - J J MacFarlane
- Prism Computational Sciences, Madison, Wisconsin 53703, USA
| | - I Golovkin
- Prism Computational Sciences, Madison, Wisconsin 53703, USA
| |
Collapse
|
10
|
A higher-than-predicted measurement of iron opacity at solar interior temperatures. Nature 2014; 517:56-9. [DOI: 10.1038/nature14048] [Citation(s) in RCA: 268] [Impact Index Per Article: 26.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2014] [Accepted: 11/03/2014] [Indexed: 11/08/2022]
|
11
|
Haugh MJ, Wu M, Jacoby KD, Loisel GP. Measuring the x-ray resolving power of bent potassium acid phthalate diffraction crystals. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2014; 85:11D619. [PMID: 25430195 DOI: 10.1063/1.4891919] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
This report presents the results from measuring the X-ray resolving power of a curved potassium acid phthalate (KAP(001)) spectrometer crystal using two independent methods. It is part of a continuing effort to measure the fundamental diffraction properties of bent crystals that are used to study various characteristics of high temperature plasmas. Bent crystals like KAP(001) do not usually have the same diffraction properties as corresponding flat crystals. Models that do exist to calculate the effect of bending the crystal on the diffraction properties have simplifying assumptions and their accuracy limits have not been adequately determined. The type of crystals that we measured is being used in a spectrometer on the Z machine at Sandia National Laboratories in Albuquerque, New Mexico. The first technique for measuring the crystal resolving power measures the X-ray spectral line width of the characteristic lines from several metal anodes. The second method uses a diode X-ray source and a double crystal diffractometer arrangement to measure the reflectivity curve of the KAP(001) crystal. The width of that curve is inversely proportional to the crystal resolving power. The measurement results are analyzed and discussed.
Collapse
Affiliation(s)
- M J Haugh
- National Security Technologies, LLC, Livermore, California 94550, USA
| | - M Wu
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| | - K D Jacoby
- National Security Technologies, LLC, Livermore, California 94550, USA
| | - G P Loisel
- Sandia National Laboratories, Albuquerque, New Mexico 87123, USA
| |
Collapse
|