# LaTeX2HTML 2019.2 (Released June 5, 2019)
# Associate images original text with physical files.


$key = q/bf{k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.63ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img3.png"
 ALT="$\bf k$">|; 

$key = q/bf{k_{i}^{};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.21ex; vertical-align: -0.67ex; " SRC="|."$dir".q|img4.png"
 ALT="$\bf k_{i}^{}$">|; 

$key = q/bf{k_{j}^{};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.56ex; vertical-align: -0.97ex; " SRC="|."$dir".q|img5.png"
 ALT="$\bf k_{j}^{}$">|; 

$key = q/bf{q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.52ex; vertical-align: -0.55ex; " SRC="|."$dir".q|img1.png"
 ALT="$\bf q$">|; 

$key = q/displaystylebf{k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.63ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img7.png"
 ALT="$\displaystyle \bf k$">|; 

$key = q/displaystylehat{epsilon}_{{{{bf{q}nu}}^{};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 2.56ex; vertical-align: -0.97ex; " SRC="|."$dir".q|img13.png"
 ALT="$\displaystyle \hat{\epsilon}_{{{\bf q}\nu}}^{}$">|; 

$key = q/displaystyleint;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.31ex; vertical-align: -1.67ex; " SRC="|."$dir".q|img15.png"
 ALT="$\displaystyle \int$">|; 

$key = q/displaystyleleft(vphantom{{hbarover2Momega_{{{bf{q}nu}}}right.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.83ex; vertical-align: -2.42ex; " SRC="|."$dir".q|img8.png"
 ALT="$\displaystyle \left(\vphantom{{\hbar\over 2M\omega_{{\bf q}\nu}}}\right.$">|; 

$key = q/displaystyleleft.vphantom{{-1.04(1+lambda)overlambda(1-0.62mu^*)-mu^*}}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.83ex; vertical-align: -2.42ex; " SRC="|."$dir".q|img25.png"
 ALT="$\displaystyle \left.\vphantom{
{-1.04(1+\lambda)\over \lambda(1-0.62\mu^*)-\mu^*}}\right]$">|; 

$key = q/displaystyleleft.vphantom{{2overlambda}int{domegaoveromega}alpha^2F(omega)mbox{log}omega}right];MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.83ex; vertical-align: -2.42ex; " SRC="|."$dir".q|img30.png"
 ALT="$\displaystyle \left.\vphantom{ {2\over\lambda} \int {d\omega\over\omega}
\alpha^2F(\omega) \mbox{log}\omega }\right]$">|; 

$key = q/displaystyleleft.vphantom{{hbarover2Momega_{{{bf{q}nu}}}right)^{{1slash2}}_{};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 6.29ex; vertical-align: -2.52ex; " SRC="|."$dir".q|img10.png"
 ALT="$\displaystyle \left.\vphantom{{\hbar\over 2M\omega_{{\bf q}\nu}}}\right)^{{1/2}}_{}$">|; 

$key = q/displaystyleleft[vphantom{{-1.04(1+lambda)overlambda(1-0.62mu^*)-mu^*}}right.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.83ex; vertical-align: -2.42ex; " SRC="|."$dir".q|img23.png"
 ALT="$\displaystyle \left[\vphantom{
{-1.04(1+\lambda)\over \lambda(1-0.62\mu^*)-\mu^*}}\right.$">|; 

$key = q/displaystyleleft[vphantom{{2overlambda}int{domegaoveromega}alpha^2F(omega)mbox{log}omega}right.;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.83ex; vertical-align: -2.42ex; " SRC="|."$dir".q|img27.png"
 ALT="$\displaystyle \left[\vphantom{ {2\over\lambda} \int {d\omega\over\omega}
\alpha^2F(\omega) \mbox{log}\omega }\right.$">|; 

$key = q/displaystylesum_{{ij}}^{};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.60ex; vertical-align: -2.91ex; " SRC="|."$dir".q|img14.png"
 ALT="$\displaystyle \sum_{{ij}}^{}$">|; 

$key = q/displaystylesum_{{{{bf{q}nu}}^{};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.43ex; vertical-align: -2.72ex; " SRC="|."$dir".q|img19.png"
 ALT="$\displaystyle \sum_{{{\bf q}\nu}}^{}$">|; 

$key = q/displaystyle{-1.04(1+lambda)overlambda(1-0.62mu^*)-mu^*};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.48ex; vertical-align: -2.27ex; " SRC="|."$dir".q|img24.png"
 ALT="$\displaystyle {-1.04(1+\lambda)\over \lambda(1-0.62\mu^*)-\mu^*}$">|; 

$key = q/displaystyle{1over2piN(e_F)};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.30ex; vertical-align: -2.27ex; " SRC="|."$dir".q|img18.png"
 ALT="$\displaystyle {1\over 2\pi N(e_F)}$">|; 

$key = q/displaystyle{2overlambda};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.78ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img28.png"
 ALT="$\displaystyle {2\over\lambda}$">|; 

$key = q/displaystyle{Theta_Dover1.45};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.84ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img22.png"
 ALT="$\displaystyle {\Theta_D \over 1.45}$">|; 

$key = q/displaystyle{alpha^2F(omega)overomega};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.07ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img21.png"
 ALT="$\displaystyle {\alpha^2F(\omega) \over \omega}$">|; 

$key = q/displaystyle{dV_{SCF}overd{hatu}_{{{bf{q}nu}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.48ex; vertical-align: -2.34ex; " SRC="|."$dir".q|img12.png"
 ALT="$\displaystyle {dV_{SCF}\over d {\hat u}_{{\bf q}\nu}}$">|; 

$key = q/displaystyle{d^3koverOmega_{BZ}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.36ex; vertical-align: -2.04ex; " SRC="|."$dir".q|img16.png"
 ALT="$\displaystyle {d^3k\over \Omega_{BZ}}$">|; 

$key = q/displaystyle{domegaoveromega};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.84ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img29.png"
 ALT="$\displaystyle {d\omega\over\omega}$">|; 

$key = q/displaystyle{gamma_{{{bf{q}nu}overhbaromega_{{{bf{q}nu}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.90ex; vertical-align: -2.34ex; " SRC="|."$dir".q|img20.png"
 ALT="$\displaystyle {\gamma_{{\bf q}\nu}\over\hbar\omega_{{\bf q}\nu}}$">|; 

$key = q/displaystyle{gamma_{{{bf{q}nu}overpihbarN(e_F)omega^2_{{{bf{q}nu}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.13ex; vertical-align: -2.57ex; " SRC="|."$dir".q|img17.png"
 ALT="$\displaystyle {\gamma_{{\bf q}\nu} \over \pi\hbar N(e_F)\omega^2_{{\bf q}\nu}}$">|; 

$key = q/displaystyle{hbarover2Momega_{{{bf{q}nu}};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 5.48ex; vertical-align: -2.34ex; " SRC="|."$dir".q|img9.png"
 ALT="$\displaystyle {\hbar\over 2M\omega_{{\bf q}\nu}}$">|; 

$key = q/displaystyle{omega_{log}over1.2};MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 4.20ex; vertical-align: -1.69ex; " SRC="|."$dir".q|img26.png"
 ALT="$\displaystyle {\omega_{log}\over 1.2}$">|; 

$key = q/includegraphics[width=5cm]{..slash..slash..slashDocslashquantum_espresso};LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE=""
 SRC="|."$dir".q|img2.png"
 ALT="\includegraphics[width=5cm]{../../../Doc/quantum_espresso}">|; 

$key = q/scriptstylebf{k;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.11ex; vertical-align: -0.10ex; " SRC="|."$dir".q|img11.png"
 ALT="$\scriptstyle \bf k$">|; 

$key = q/scriptstylebf{q;MSF=1.6;LFS=12;AAT/;
$cached_env_img{$key} = q|<IMG STYLE="height: 1.05ex; vertical-align: -0.40ex; " SRC="|."$dir".q|img6.png"
 ALT="$\scriptstyle \bf q$">|; 

1;

