\addvspace {10\p@ } \contentsline {figure}{\numberline {1.1}{\ignorespaces Schematic of the HETGS Configuration}}{2} \contentsline {figure}{\numberline {1.2}{\ignorespaces Cross-section schematic of the HETG gratings}}{3} \contentsline {figure}{\numberline {1.3}{\ignorespaces HETG drawing with facet IDs}}{4} \contentsline {figure}{\numberline {1.4}{\ignorespaces PSF and LRF Example}}{6} \addvspace {10\p@ } \contentsline {figure}{\numberline {2.1}{\ignorespaces Rowland torus ray geometry}}{14} \contentsline {figure}{\numberline {2.2}{\ignorespaces HETGS Resolving Power vs. Energy Curves}}{17} \contentsline {figure}{\numberline {2.3}{\ignorespaces Fitting the {\bf MARX\nobreakspace {}}MEG HRMA Effective Blur}}{20} \contentsline {figure}{\numberline {2.4}{\ignorespaces Fitting the {\bf MARX\nobreakspace {}}HEG HRMA Effective Blur}}{20} \addvspace {10\p@ } \contentsline {figure}{\numberline {3.1}{\ignorespaces Asymetry parameter for a trapezoidal grating}}{29} \contentsline {figure}{\numberline {3.2}{\ignorespaces Trapezoidal bar shape}}{29} \contentsline {figure}{\numberline {3.3}{\ignorespaces Comparison of synchrotron-derived optical constants to Henke tables.}}{31} \contentsline {figure}{\numberline {3.4}{\ignorespaces First order synchrotron data of HEG grating HA2021, with best fit model.}}{32} \contentsline {figure}{\numberline {3.5}{\ignorespaces Residuals from the first order fit of grating HA2021.}}{32} \contentsline {figure}{\numberline {3.6}{\ignorespaces First order synchrotron data of MEG grating MA1047, with best fit model.}}{33} \contentsline {figure}{\numberline {3.7}{\ignorespaces Residuals from the first order fit of grating MA1047.}}{33} \contentsline {figure}{\numberline {3.8}{\ignorespaces Data and best-fit model for HEG grating over full energy range}}{35} \contentsline {figure}{\numberline {3.9}{\ignorespaces Residuals for HEG grating over full energy range}}{35} \contentsline {figure}{\numberline {3.10}{\ignorespaces Data and best-fit model of HEG grating at polyimide edges}}{36} \contentsline {figure}{\numberline {3.11}{\ignorespaces Residuals for HEG grating at polyimide edges}}{36} \contentsline {figure}{\numberline {3.12}{\ignorespaces Data and best-fit model of reference grating HX220}}{38} \contentsline {figure}{\numberline {3.13}{\ignorespaces Residuals for reference grating HX220}}{38} \contentsline {figure}{\numberline {3.14}{\ignorespaces Data and best-fit model of reference grating MX078}}{39} \contentsline {figure}{\numberline {3.15}{\ignorespaces Residuals for reference grating MX078}}{39} \contentsline {figure}{\numberline {3.16}{\ignorespaces Tilt data for reference grating MX078}}{40} \contentsline {figure}{\numberline {3.17}{\ignorespaces Tilt data for reference grating HX220}}{40} \contentsline {figure}{\numberline {3.18}{\ignorespaces Residuals between first order X-GEF predictions and synchroton data}}{41} \contentsline {figure}{\numberline {3.19}{\ignorespaces Residuals between 0th order X-GEF predictions and synchroton data}}{42} \addvspace {10\p@ } \contentsline {figure}{\numberline {4.1}{\ignorespaces LR Period Contour Plot}}{51} \contentsline {figure}{\numberline {4.2}{\ignorespaces Period-$dp/p$ scatter plot for the HETG flight gratings}}{52} \contentsline {figure}{\numberline {4.3}{\ignorespaces Period Histogram of the MEG Flight Gratings}}{53} \contentsline {figure}{\numberline {4.4}{\ignorespaces Period Histogram of the HEG Flight Gratings}}{54} \contentsline {figure}{\numberline {4.5}{\ignorespaces X-GEF Schematic}}{56} \contentsline {figure}{\numberline {4.6}{\ignorespaces X-GEF Example Measurements and Derived Model: MEG}}{58} \contentsline {figure}{\numberline {4.7}{\ignorespaces X-GEF Example Measurements and Derived Model: HEG}}{59} \contentsline {figure}{\numberline {4.8}{\ignorespaces X-GEF Vertex Model Example: MEG}}{60} \contentsline {figure}{\numberline {4.9}{\ignorespaces X-GEF Vertex Model Example: HEG}}{60} \contentsline {figure}{\numberline {4.10}{\ignorespaces X-GEF Tilt Plots for an MEG}}{62} \contentsline {figure}{\numberline {4.11}{\ignorespaces X-GEF Tilt Plots for an HEG}}{63} \contentsline {figure}{\numberline {4.12}{\ignorespaces Measured roll errors for the 336 flight gratings}}{65} \addvspace {10\p@ } \contentsline {figure}{\numberline {5.1}{\ignorespaces XRCF hardware schematic}}{70} \contentsline {figure}{\numberline {5.2}{\ignorespaces HSI image of 3rd-order MEG Al-K line}}{79} \contentsline {figure}{\numberline {5.3}{\ignorespaces Example Phase 1 PHA spectra}}{80} \contentsline {figure}{\numberline {5.4}{\ignorespaces ACIS-2C defocussed image of Al-K line}}{81} \contentsline {figure}{\numberline {5.5}{\ignorespaces ACIS-S defocussed image of Al-K line}}{81} \addvspace {10\p@ } \contentsline {figure}{\numberline {6.1}{\ignorespaces Beam center example plot}}{85} \contentsline {figure}{\numberline {6.2}{\ignorespaces Period and angle analysis output}}{86} \contentsline {figure}{\numberline {6.3}{\ignorespaces Beam center results file}}{87} \contentsline {figure}{\numberline {6.4}{\ignorespaces Measured Grating Periods}}{88} \contentsline {figure}{\numberline {6.5}{\ignorespaces Measured Dispersion Angles}}{89} \contentsline {figure}{\numberline {6.6}{\ignorespaces FPC 1D slit scans: HEG, Mg-K, first and second orders}}{91} \contentsline {figure}{\numberline {6.7}{\ignorespaces FPC 1D slit scans: MEG, Mg-K, first and third orders}}{91} \contentsline {figure}{\numberline {6.8}{\ignorespaces XRCF $E/dE$ Measurements}}{93} \contentsline {figure}{\numberline {6.9}{\ignorespaces Mis-aligned MEGs: HSI defocused image}}{94} \contentsline {figure}{\numberline {6.10}{\ignorespaces Shell 3 sector FF Events}}{96} \contentsline {figure}{\numberline {6.11}{\ignorespaces HSI cusp HEG scatter at 1.775 keV}}{98} \contentsline {figure}{\numberline {6.12}{\ignorespaces ACIS-2C image showing HEG scatter at 1.775 keV.}}{100} \contentsline {figure}{\numberline {6.13}{\ignorespaces Pulse Height Distribution for '2C HEG Scatter Data}}{101} \contentsline {figure}{\numberline {6.14}{\ignorespaces Exposure time ``map''for the '2C HEG scattering tests.}}{102} \contentsline {figure}{\numberline {6.15}{\ignorespaces Fitting Gaussians to the HEG scattered light cross-dispersion profiles.}}{104} \contentsline {figure}{\numberline {6.16}{\ignorespaces Estimated ``Background'' and the Count Spectra in the Source Region}}{105} \contentsline {figure}{\numberline {6.17}{\ignorespaces Net Scattered Light After Dividing by the Exposure Time ``Map''}}{105} \contentsline {figure}{\numberline {6.18}{\ignorespaces Normalized HEG Response to a Monochromatic Light Source at 1.775 keV}}{106} \addvspace {10\p@ } \contentsline {figure}{\numberline {7.1}{\ignorespaces ``Alignment'' test results, shells 1 and 6}}{111} \contentsline {figure}{\numberline {7.2}{\ignorespaces Preliminary XRCF HRMA-MEG and HRMA-HEG Areas: 1st order}}{116} \contentsline {figure}{\numberline {7.3}{\ignorespaces Preliminary XRCF HRMA-MEG and HRMA-HEG Areas: 0-order}}{117} \contentsline {figure}{\numberline {7.4}{\ignorespaces Preliminary XRCF MEG and HEG Efficiencies: 1st order}}{119} \contentsline {figure}{\numberline {7.5}{\ignorespaces Preliminary XRCF MEG and HEG Efficiencies: 0 order}}{120} \contentsline {figure}{\numberline {7.6}{\ignorespaces DCM-HETG-HRC-I 1st to 0 order ratio vs. E}}{124} \contentsline {figure}{\numberline {7.7}{\ignorespaces Molecular contamination spectrum with HEG-ACIS-S}}{126} \contentsline {figure}{\numberline {7.8}{\ignorespaces Molecular contamination spectrum, HEG-ACIS-S, 1-1.4 keV}}{127} \contentsline {figure}{\numberline {7.9}{\ignorespaces Molecular contamination spectrum, HEG-ACIS-S, 1.4-2 keV}}{128} \contentsline {figure}{\numberline {7.10}{\ignorespaces Molecular contamination spectrum, HEG-ACIS-S, 2-3 keV}}{129} \contentsline {figure}{\numberline {7.11}{\ignorespaces Molecular contamination spectrum, HEG-ACIS-S, 3-5 keV}}{130} \contentsline {figure}{\numberline {7.12}{\ignorespaces Molecular contamination spectrum, HEG-ACIS-S, 5-10 keV}}{131} \addvspace {10\p@ } \addvspace {10\p@ } \contentsline {figure}{\numberline {9.1}{\ignorespaces Schematic Diagram of the Types of Calibration Products}}{140} \contentsline {figure}{\numberline {9.2}{\ignorespaces Basic Geometry for HETG Facet Location}}{142} \contentsline {figure}{\numberline {9.3}{\ignorespaces Effective Efficiency for First-order MEG and HEG}}{147} \contentsline {figure}{\numberline {9.4}{\ignorespaces Effective Efficiency for HETG 1st and 0 orders}}{148} \contentsline {figure}{\numberline {9.5}{\ignorespaces Comparing MEG Rectangular and CIP Efficiencies (orders 1, 0).}}{151} \contentsline {figure}{\numberline {9.6}{\ignorespaces Comparing MEG Rectangular and CIP Efficiencies (orders 2, 3).}}{151} \contentsline {figure}{\numberline {9.7}{\ignorespaces Comparing HEG Rectangular and CIP Efficiencies (orders 1, 0).}}{152} \contentsline {figure}{\numberline {9.8}{\ignorespaces Comparing HEG Rectangular and CIP Efficiencies (orders 2, 3).}}{152}