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\chapter*{List of Symbols}

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\begin{table}[h!]
\centering

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\begin{tabular}{lccc}
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\textbf{Quantity} & \textbf{Symbol} & \textbf{Value} & \textbf{Units} \\ \hline
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Boltzmann constant                   &     $k_B$         &   8.617 $\cross$ 10$^{-5}$     &  eV/K       \\

Bragg angle                          &     $\theta_B$    &        &    rad       \\

Camera noise                         &      $\sigma_N$   &     /     &    ADU     \\


Charge spreading radius              &      $R_s$        &     /     &    cm  \\

Charge spreading kernel              &      $H$          &     /     &    /  \\

Chemical potential                   & $\mu$             & /            & eV              \\

Coupling parameter                   &     $\Gamma$      &    /     &    /       \\

Cross-section                        &     $\sigma$      &    /     &    cm$^{2}$       \\

De Broglie wavelength                &     $\Lambda$     &   /    &  cm       \\

Degeneracy parameter                 &     $\theta$      &   /     &    /     \\

Density of states                    &   $\rho(\epsilon)$   & / &   states/(eV $\cdot$ cm$^{3}$)    \\

Effective density of states          & $\rho_{\rm eff}(\epsilon)$             & /            &  states/(eV $\cdot$ cm$^{3}$)             \\

Electron charge                      &     $e$          &   1.6 $\cross$ 10$^{-19}$   &    C     \\

Electron density                     &     $n_e$         &    /      & 
particle/cm$^{3}$           \\

Electron energies                    &     $\epsilon$   &   /   &    eV     \\

Electron mass                        &     $m_e$        &   9.11 $\cross$ 10$^{-28}$   &    g     \\

Electron wavefunctions               &     $\psi$       &   /   &    cm$^{-3/2}$     \\

Energy spectrum                      &     $I$          &   /   &    arb. units     \\

Fermi-Dirac distribution             &   $f_{FD}$        & / &   /    \\

Fill fraction                        & $\lambda$         & /  & /   \\

Free electron density                & $n_f$             & /            & particle/cm$^{3}$            \\

Ion density                          & $n_i$             & /            & particle/cm$^{3}$    \\

Matrix transition elements           &   $M$             & / &   /    \\

Normalized energy spectrum           &     $S$          &   /   &    arb. units     \\

Particle velocity                    &     $U_p$         &   /   &    Km/s$^{3}$      \\

Photons frequency                    &     $\omega$      &    /    &   s$^{-1}$   \\

Pressure                             &     $p$          &   /   &    Pa     \\

Reduced Planck constant              &     $\hbar$       &   4.136 $\cross$ 10$^{-15}$     &  eV $\cdot$ s       \\

RIXS operator                        &   $P_{\rm RIXS}$  & / &   /    \\

Single-photon ADU value              &   ADU$_{sp}$      & / &   ADU    \\

Shock velocity                       &     $U_s$         &   /   &    Km/s$^{3}$     \\

Solid angle                          &   $\Omega$        & / &   sr    \\

Source spectrum                      &   $\Phi$          & / &   arb. units    \\

Speed of light                       &     $c$           &   2.998 $\cross$ 10$^{10}$     &  cm/s       \\

Temperature                          & $T$               & /            &    eV       \\

\end{tabular}}
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\end{table}




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