MgO$^{\mathrm{.}}$Fe$_{\mathrm{E-6}}$ and NbO$^{\mathrm{.}}$Fe$_{\mathrm{E-2}}$ 2D XRD Galileo-Gor'kov conductance

We investigate doped materials electronic processes, structure, and magnetic properties. Magnetic resonance esr indicates (Fe,Mn)$_{\mathrm{E-6}}$MgO, Fe$_{\mathrm{\% }}$NbO stability is by vacancy $\emptyset $ polarized free electrons e$^{\mathrm{-}}_{\mathrm{P}}$. We describe stability by two energy X-Ray diffraction 2D XRD, SLAC:SSRL BL2.1 Si(111) crystal detected resonance enhanced scans: E$\to $Fe-Mn K-edges, and E$+\Delta $E obtain Bragg: I(E)$_{\mathrm{\nu =0,1,}}$ vs. Q,Q*\underline {\textless }60/nm, sideband structure $\nu $q$_{\mathrm{PLD}}$ (q$_{\mathrm{PLD}}$\textless 0.1/nm) and followed by exited states relaxation coherent stimulated absorption/emission, Compton: I*(E)Q aligned vs. $\Delta $E$+$E,\textbf{p}*$=$Q*-Q. Element \textbf{\textit{e}} bonds are described by binding state Tables \textbf{\textit{e}}($\varepsilon $:nlj) $=\Delta $E\textpm 5eV,\textbf{p}* $=$Fe;O;Mg;Nb(K,L,M states). The quasi particle, qsp Galileo conductance \underline {c}$_{\mathrm{cr\thinspace }}=\hbar $q$_{\mathrm{PLD}}$/m$_{\mathrm{e}}$*, periodic lattice distortion, associated with esr spin-lattice interaction 3a $=$7$\mu $eV, is compared to similar vacancy structures: graphite C(gr$_{\mathrm{a,c}})$, magnetite M,$_{\mathrm{\thinspace }}$Prussian$_{\mathrm{\thinspace }}$Blue PB, and superconductor SC T$_{\mathrm{c}}$\textasciitilde 200K oxide, Bi$_{\mathrm{1-x}}$Pb$_{\mathrm{x=0.3}}$:Sr:Ca:Cu::2:2:n-1:n\underline {\textless }30: Room T results indicate \underline {c}$_{\mathrm{cr}}$(C(gr$_{\mathrm{c,a}}))$ $=$\textbraceleft 40,E3\textbraceright nm/ps \textgreater \underline {c}$_{\mathrm{cr}}$(Fe$_{\mathrm{\% }}$NbO) \textasciitilde 10nm/ps \textgreater \underline {c}$_{\mathrm{cr}}$(M) \textgreater c$_{\mathrm{cr}}$(\textbf{\textit{e}}$_{\mathrm{E-6}}$MgO) \textasciitilde \underline {c}$_{\mathrm{cr}}$(PB) \textasciitilde c$_{\mathrm{cr}}$(SC) \textasciitilde nm/ps, is achieved through vacancy $\emptyset $ by Pauling ligand strength order: CC\textgreater CN$^{\mathrm{-}}$\textgreater O$^{\mathrm{=}}$\textgreater OH$_{\mathrm{2}}$ below the atomic limit \underline {c}$_{\mathrm{cr0\thinspace }}=$e$^{\mathrm{2}}$/$\hbar $ $=$2.18nm/fs.