added stuffs

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parent 31b6eb78ad
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@ -81,7 +81,8 @@
\newlabel{eq:lim_mularge}{{19}{4}{}{equation.2.19}{}}
\newlabel{eq:lim_n2}{{20}{4}{}{equation.2.20}{}}
\newlabel{eq:lim_muinf}{{21}{4}{}{equation.2.21}{}}
\citation{GarBulHenScu-PCCP-15}
\citation{PerSavBur-PRA-95}
\citation{PerSavBur-PRA-95}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2}Properties of approximated functionals}{5}{section*.10}}
\newlabel{eq:lim_ebasis}{{22}{5}{}{equation.2.22}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {E}Requirements for the approximated functionals in the strong correlation regime}{5}{section*.11}}
@ -89,22 +90,21 @@
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2}Condition for the functional $\mathaccentV {bar}916{E}_{\text {X}}^\mathcal {B}[{n},\zeta ,s,n^{(2)},\mu _{\Psi ^{\mathcal {B}}}]$ to obtain $S_z$ invariance}{5}{section*.13}}
\newlabel{eq:def_effspin}{{23}{5}{}{equation.2.23}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {3}Conditions on $\Psi ^{\mathcal {B}}$ for the extensivity}{5}{section*.14}}
\@writefile{toc}{\contentsline {subsection}{\numberline {F}Different types of approximations for the functional}{5}{section*.15}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1}Definition of the protocol to design functionals}{5}{section*.16}}
\newlabel{sec:def_func}{{II\tmspace +\thinmuskip {.1667em}F\tmspace +\thinmuskip {.1667em}1}{5}{}{section*.16}{}}
\citation{GorSav-PRA-06}
\citation{FerGinTou-JCP-18,GinSceTouLoo-JCP-19}
\citation{GorSav-PRA-06}
\citation{LooPraSceTouGin-JCPL-19}
\newlabel{eq:def_n2ueg}{{25}{6}{}{equation.2.25}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {F}Different types of approximations for the functional}{6}{section*.15}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1}Definition of the protocol to design functionals}{6}{section*.16}}
\newlabel{sec:def_func}{{II\tmspace +\thinmuskip {.1667em}F\tmspace +\thinmuskip {.1667em}1}{6}{}{section*.16}{}}
\newlabel{eq:def_n2ueg}{{24}{6}{}{equation.2.24}{}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2}Definition of a hierarchy of functionals}{6}{section*.17}}
\newlabel{eq:def_pbeueg}{{26}{6}{}{equation.2.26}{}}
\newlabel{eq:def_pbeueg}{{27}{6}{}{equation.2.27}{}}
\newlabel{eq:def_pbeueg}{{28}{6}{}{equation.2.28}{}}
\newlabel{eq:def_pbeueg}{{29}{6}{}{equation.2.29}{}}
\newlabel{eq:def_pbeueg}{{30}{6}{}{equation.2.30}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}Results}{6}{section*.18}}
\@writefile{toc}{\contentsline {subsection}{\numberline {A}Numerical tests of extensivity}{6}{section*.19}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1}Dissociation to closed shell ground states}{6}{section*.20}}
\bibdata{srDFT_SCNotes,srDFT_SC}
\bibcite{Thom-PRL-10}{{1}{2010}{{Thom}}{{}}}
\bibcite{ScoTho-JCP-17}{{2}{2017}{{Scott\ and\ Thom}}{{}}}
@ -112,6 +112,15 @@
\bibcite{DeuEmiShePie-PRL-17}{{4}{2017}{{Deustua, Shen,\ and\ Piecuch}}{{}}}
\bibcite{DeuEmiMagShePie-JCP-18}{{5}{2018}{{Deustua\ \emph {et~al.}}}{{Deustua, Magoulas, Shen,\ and\ Piecuch}}}
\bibcite{DeuEmiYumShePie-JCP-19}{{6}{2019}{{Deustua\ \emph {et~al.}}}{{Deustua, Yuwono, Shen,\ and\ Piecuch}}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {1}Dissociation to closed shell ground states}{7}{section*.20}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2}Dissociation to open shell ground states}{7}{section*.21}}
\newlabel{sec:results}{{III\tmspace +\thinmuskip {.1667em}A\tmspace +\thinmuskip {.1667em}2}{7}{}{table.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Conclusion}{7}{section*.22}}
\newlabel{sec:conclusion}{{IV}{7}{}{section*.22}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces N$_2$, aug-cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{7}{figure.1}}
\newlabel{fig:N2_avdz}{{1}{7}{N$_2$, aug-cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces N$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{7}{figure.2}}
\newlabel{fig:N2_avtz}{{2}{7}{N$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.2}{}}
\bibcite{QiuHenZhaScu-JCP-17}{{7}{2017}{{Qiu\ \emph {et~al.}}}{{Qiu, Henderson, Zhao,\ and\ Scuseria}}}
\bibcite{QiuHenZhaScu-JCP-18}{{8}{2018}{{Qiu\ \emph {et~al.}}}{{Qiu, Henderson, Zhao,\ and\ Scuseria}}}
\bibcite{GomHenScu-JCP-19}{{9}{2019}{{Gomez, Henderson,\ and\ Scuseria}}{{}}}
@ -129,18 +138,18 @@
\bibcite{AbrSheDav-CPL-05}{{21}{2005}{{Abrams\ and\ Sherrill}}{{}}}
\bibcite{MusEngels-JCC-06}{{22}{2006}{{Musch\ and\ Engels}}{{}}}
\bibcite{BytRue-CP-09}{{23}{2009}{{Bytautas\ and\ Ruedenberg}}{{}}}
\@writefile{toc}{\contentsline {subsubsection}{\numberline {2}Dissociation to open shell ground states}{7}{section*.21}}
\newlabel{sec:results}{{III\tmspace +\thinmuskip {.1667em}A\tmspace +\thinmuskip {.1667em}2}{7}{}{table.2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Conclusion}{7}{section*.22}}
\newlabel{sec:conclusion}{{IV}{7}{}{section*.22}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces N$_2$, aug-cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{7}{figure.1}}
\newlabel{fig:N2_avdz}{{1}{7}{N$_2$, aug-cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces N$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{7}{figure.2}}
\newlabel{fig:N2_avtz}{{2}{7}{N$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.2}{}}
\bibcite{GinSceCaf-CJC-13}{{24}{2013}{{Giner, Scemama,\ and\ Caffarel}}{{}}}
\bibcite{CafGinScemRam-JCTC-14}{{25}{2014}{{Caffarel\ \emph {et~al.}}}{{Caffarel, Giner, Scemama,\ and\ Ram{\'\i }rez-Sol{\'\i }s}}}
\bibcite{GinSceCaf-JCP-15}{{26}{2015}{{Giner, Scemama,\ and\ Caffarel}}{{}}}
\bibcite{CafAplGinScem-arxiv-16}{{27}{2016{}}{{Caffarel\ \emph {et~al.}}}{{Caffarel, Applencourt, Giner,\ and\ Scemama}}}
\@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces Total energies (in Hartree) for HF and $E$ in aug-cc-pvdz for the Ne atom, F$_2$ (with F-F=1.411 angstroms) and the super non interacting system Ne--F$_2$. }}{8}{table.1}}
\newlabel{tab:extensiv_closed}{{I}{8}{Total energies (in Hartree) for HF and $E$ in aug-cc-pvdz for the Ne atom, F$_2$ (with F-F=1.411 angstroms) and the super non interacting system Ne--F$_2$}{table.1}{}}
\@writefile{lot}{\contentsline {table}{\numberline {II}{\ignorespaces Total energies (in Hartree) for N$_2$ in the aug-cc-pvdz basis set. }}{8}{table.2}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces F$_2$, aug-cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{8}{figure.3}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces F$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{8}{figure.4}}
\newlabel{fig:F2_avtz}{{4}{8}{F$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.4}{}}
\bibcite{CafAplGinSce-JCP-16}{{28}{2016{}}{{Caffarel\ \emph {et~al.}}}{{Caffarel, Applencourt, Giner,\ and\ Scemama}}}
\bibcite{SchEva-JCP-16}{{29}{2016}{{Schriber\ and\ Evangelista}}{{}}}
\bibcite{LiuHofJCTC-16}{{30}{2016}{{Liu\ and\ Hoffmann}}{{}}}
@ -154,15 +163,13 @@
\bibcite{ChiHolOttUmrShaZim-JPCA-18}{{38}{2018}{{Chien\ \emph {et~al.}}}{{Chien, Holmes, Otten, Umrigar, Sharma,\ and\ Zimmerman}}}
\bibcite{SceBenJacCafLoo-JCP-18}{{39}{2018{}}{{Scemama\ \emph {et~al.}}}{{Scemama, Benali, Jacquemin, Caffarel,\ and\ Loos}}}
\bibcite{LooSceBloGarCafJac-JCTC-18}{{40}{2018}{{Loos\ \emph {et~al.}}}{{Loos, Scemama, Blondel, Garniron, Caffarel,\ and\ Jacquemin}}}
\@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces Total energies (in Hartree) for HF and $E$ in aug-cc-pvdz for the Ne atom, F$_2$ (with F-F=1.411 angstroms) and the super non interacting system Ne--F$_2$. }}{8}{table.1}}
\newlabel{tab:extensiv_closed}{{I}{8}{Total energies (in Hartree) for HF and $E$ in aug-cc-pvdz for the Ne atom, F$_2$ (with F-F=1.411 angstroms) and the super non interacting system Ne--F$_2$}{table.1}{}}
\@writefile{lot}{\contentsline {table}{\numberline {II}{\ignorespaces Total energies (in Hartree) for N$_2$ in the aug-cc-pvdz basis set. }}{8}{table.2}}
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\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces F$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{8}{figure.4}}
\newlabel{fig:F2_avtz}{{4}{8}{F$_2$, aug-cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.4}{}}
\bibcite{GarSceGinCaffLoo-JCP-18}{{41}{2018}{{Garniron\ \emph {et~al.}}}{{Garniron, Scemama, Giner, Caffarel,\ and\ Loos}}}
\@writefile{lot}{\contentsline {table}{\numberline {III}{\ignorespaces Dissociation energy ($D_0$) computed at different levels in various basis sets. }}{9}{table.3}}
\newlabel{tab:extensiv_closed}{{III}{9}{Dissociation energy ($D_0$) computed at different levels in various basis sets}{table.3}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces H$_{10}$, cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{9}{figure.5}}
\newlabel{fig:H10_vdz}{{5}{9}{H$_{10}$, cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.5}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces H$_{10}$, cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{9}{figure.6}}
\newlabel{fig:H10_vtz}{{6}{9}{H$_{10}$, cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.6}{}}
\bibcite{SceGarCafLoo-JCTC-18}{{42}{2018{}}{{Scemama\ \emph {et~al.}}}{{Scemama, Garniron, Caffarel,\ and\ Loos}}}
\bibcite{GarGinMalSce-JCP-16}{{43}{2017}{{Garniron\ \emph {et~al.}}}{{Garniron, Giner, Malrieu,\ and\ Scemama}}}
\bibcite{LooBogSceCafJac-JCTC-19}{{44}{2019{}}{{Loos\ \emph {et~al.}}}{{Loos, Boggio-Pasqua, Scemama, Caffarel,\ and\ Jacquemin}}}
@ -177,12 +184,6 @@
\bibcite{HatKloKohTew-CR-12}{{53}{2012}{{Hattig\ \emph {et~al.}}}{{Hattig, Klopper, Kohn,\ and\ Tew}}}
\bibcite{KonBisVal-CR-12}{{54}{2012}{{Kong, Bischo,\ and\ Valeev}}{{}}}
\bibcite{GruHirOhnTen-JCP-17}{{55}{2017}{{Gr\"uneis\ \emph {et~al.}}}{{Gr\"uneis, Hirata, Ohnishi,\ and\ Ten-no}}}
\@writefile{lot}{\contentsline {table}{\numberline {III}{\ignorespaces Dissociation energy ($D_0$) computed at different levels in various basis sets. }}{9}{table.3}}
\newlabel{tab:extensiv_closed}{{III}{9}{Dissociation energy ($D_0$) computed at different levels in various basis sets}{table.3}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces H$_{10}$, cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{9}{figure.5}}
\newlabel{fig:H10_vdz}{{5}{9}{H$_{10}$, cc-pvdz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.5}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces H$_{10}$, cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one. }}{9}{figure.6}}
\newlabel{fig:H10_vtz}{{6}{9}{H$_{10}$, cc-pvtz: Comparison between the near FCI and corrected near FCI energies and the estimated exact one}{figure.6}{}}
\bibcite{MaWer-WIREs-18}{{56}{2018}{{Ma\ and\ Werner}}{{}}}
\bibcite{TewKloNeiHat-PCCP-07}{{57}{2007}{{Tew\ \emph {et~al.}}}{{Tew, Klopper, Neiss,\ and\ Hattig}}}
\bibcite{TouColSav-PRA-04}{{58}{2004}{{Toulouse, Colonna,\ and\ Savin}}{{}}}
@ -208,7 +209,7 @@
\bibcite{PazMorGorBac-PRB-06}{{78}{2006}{{Paziani\ \emph {et~al.}}}{{Paziani, Moroni, Gori-Giorgi,\ and\ Bachelet}}}
\bibcite{GritMeePer-PRA-18}{{79}{2018}{{Gritsenko, van Meer,\ and\ Pernal}}{{}}}
\bibcite{CarTruGag-JPCA-17}{{80}{2017}{{Carlson, Truhlar,\ and\ Gagliardi}}{{}}}
\bibcite{GarBulHenScu-PCCP-15}{{81}{2015}{{Garza\ \emph {et~al.}}}{{Garza, Bulik, Henderson,\ and\ Scuseria}}}
\bibcite{PerSavBur-PRA-95}{{81}{1995}{{Perdew, Savin,\ and\ Burke}}{{}}}
\bibcite{GorSav-PRA-06}{{82}{2006{}}{{Gori-Giorgi\ and\ Savin}}{{}}}
\bibstyle{aipnum4-1}
\citation{REVTEX41Control}

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@ -858,17 +858,15 @@
{Gagliardi}},\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal} {J.
Phys. Chem. A}\ }\textbf {\bibinfo {volume} {121}},\ \bibinfo {pages} {5540}
(\bibinfo {year} {2017})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Garza}\ \emph {et~al.}(2015)\citenamefont {Garza},
\citenamefont {Bulik}, \citenamefont {Henderson},\ and\ \citenamefont
{Scuseria}}]{GarBulHenScu-PCCP-15}%
\bibitem [{\citenamefont {Perdew}, \citenamefont {Savin},\ and\ \citenamefont
{Burke}(1995)}]{PerSavBur-PRA-95}%
\BibitemOpen
\bibfield {author} {\bibinfo {author} {\bibfnamefont {A.~J.}\ \bibnamefont
{Garza}}, \bibinfo {author} {\bibfnamefont {I.~W.}\ \bibnamefont {Bulik}},
\bibinfo {author} {\bibfnamefont {T.~M.}\ \bibnamefont {Henderson}}, \ and\
\bibinfo {author} {\bibfnamefont {G.~E.}\ \bibnamefont {Scuseria}},\
}\href@noop {} {\bibfield {journal} {\bibinfo {journal} {Phys. Chem. Chem.
Phys.}\ }\textbf {\bibinfo {volume} {17}},\ \bibinfo {pages} {22412}
(\bibinfo {year} {2015})}\BibitemShut {NoStop}%
\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.~P.}\ \bibnamefont
{Perdew}}, \bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Savin}}, \
and\ \bibinfo {author} {\bibfnamefont {K.}~\bibnamefont {Burke}},\
}\href@noop {} {\bibfield {journal} {\bibinfo {journal} {Phys. Rev. A}\
}\textbf {\bibinfo {volume} {51}},\ \bibinfo {pages} {4531} (\bibinfo {year}
{1995})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Gori-Giorgi}\ and\ \citenamefont
{Savin}(2006{\natexlab{b}})}]{GorSav-PRA-06}%
\BibitemOpen

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@ -28,41 +28,41 @@ Control: production of eprint (0) enabled
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@ -134,6 +134,7 @@
\newcommand{\murpsi}[0]{\mu({\bf r};\wf{}{\Bas})}
\newcommand{\ntwo}[0]{n^{(2)}}
\newcommand{\ntwohf}[0]{n^{(2),\text{HF}}}
\newcommand{\ntwophi}[0]{n^{(2)}_{\phi}}
\newcommand{\ntwoextrap}[0]{\tilde{n}^{(2)}_{\psibasis}}
\newcommand{\ntwoextrapcas}[0]{\tilde{n}^{(2)\,\basis}_{\text{CAS}}}
\newcommand{\mur}[0]{\mu({\bf r})}
@ -497,24 +498,24 @@ Such a property is also important in the context of covalent bond breaking where
\subsubsection{Condition for the functional $\efuncdenpbe{\argebasis}$ to obtain $S_z$ invariance}
A sufficient condition to achieve $S_z$ invariance is to eliminate all dependency to $S_z$, which in the case of $\ecmd(\argecmd)$ is the spin polarisation $\zeta(\br{})$ involved in the correlation energy density $\varepsilon_{\text{c,PBE}}(\argepbe)$ (see equation \eqref{eq:def_ecmdpbe}).
As originally shown by Perdew and co-workers\cite{PerSavBur-PRA-95}, the dependence on the spin polarisation in the KS-DFT framework can be removed by the reformulating the spin polarisation of a single Slater determinant with the on-top pair density and the total density. In other terms, the spin density dependence of the correlation functionals usually try to mimic the on-top pair density of a given system.
Based on this reasoning, a similar approach has been used in the context of multi configurational DFT approaches where an effective spin density is introduced
As originally shown by Perdew and co-workers\cite{PerSavBur-PRA-95}, the dependence on the spin polarisation in the KS-DFT framework can be removed by the rewriting the spin polarisation of a single Slater determinant with only the on-top pair density and the total density. In other terms, the spin density dependence usually introduced in the correlation functionals of KS-DFT tries to mimic the effect of the on-top pair density.
Based on this reasoning, a similar approach has been used in the context of multi configurational DFT in order to remove the $S_z$ dependency.
In practice, these approaches introduce the effective spin polarisation
\begin{equation}
\label{eq:def_effspin}
\tilde{\zeta}(n,\ntwo_{\psibasis}) =
\begin{cases}
\sqrt{ n^2 - 4 \ntwo_{\psibasis} } & \text{if $n^2 - 4 \ntwo_{\psibasis} > 0$,} \\
0 & \text{otherwise.}
\end{cases}
% \begin{cases}
\sqrt{ n^2 - 4 \ntwo_{\psibasis} }
% 0 & \text{otherwise.}
% \end{cases}
\end{equation}
A possible way to eliminate the $S_z$ dependency would be to simply set $\zeta(\br{})=0$, but this would lower the accuracy of the usual PBE correlation functional $\varepsilon_{\text{c,PBE}}(\argepbe)$.
Therefore, we use the effective spin polarisation introduced by Scuseria and co-workers\cite{GarBulHenScu-PCCP-15} which depends on the on-top pair density and the total density of a general multi configurational wave function $\psibasis$:
If the density $n$ and on-top pair density $\ntwo_{\psibasis}$ are obtained from a single HF determinant, the definition \eqref{eq:def_effspin} is equivalent to the usual one
\begin{equation}
\tilde{\zeta}(n^{\text{HF}},\ntwohf) = n_{\alpha}^{\text{HF}} - n_{\beta}^{\text{HF}},
\end{equation}
but when $n$ and $\ntwo_{\psibasis}$ are obtained from a general multi configurational wave function $\psibasis$, the definition of the usual spin polarisation and the equation \eqref{eq:def_effspin} do not coincide.
As equation \eqref{eq:def_effspin} depends only on $S_z$ invariants quantities, $\tilde{\zeta}$ is therefore $S_z$ invariant.
which uses the on-top pair density $\ntwo_{\psibasis}$ of a given wave function $\psibasis$.
The advantages of this approach are at least two folds: i) the effective spin polarisation $\tilde{\zeta}$ is $S_z$ invariant, ii) it introduces an indirect dependency on the on-top pair density of the wave function $\psibasis$ which usually improves the treatment of strong correlation.
Nevertheless, the use of $\tilde{\zeta}$ presents several disadvantages as it can become complex when $n^2 - 4 \ntwo_{\psibasis}<0$ and also
the formula of equation \eqref{eq:def_effspin} is exact only when the density $n$ and on-top pair density $\ntwo_{\psibasis}$ are obtained from a single determinant\cite{PerSavBur-PRA-95}, but it is applied to multi configurational wave functions.
An alternative to eliminate the $S_z$ dependency would be to simply set $\zeta(\br{})=0$, but this would lower the accuracy of the usual correlation functional, such as the PBE correlation functional used here $\varepsilon_{\text{c,PBE}}(\argepbe)$. Nevertheless, as the spin polarisation usually tries to mimic the on-top pair density and the function $\ecmd(\argecmd)$ explicitly depends on the on-top pair density (see equations \eqref{eq:def_ecmdpbe} and \eqref{eq:def_beta}), we propose here to use the $\ecmd$ functional with \textit{a zero spin polarisation}. This ensures a $S_z$ invariance and, as will be numerically shown, very weakly affect the accuracy of the functional.
\subsubsection{Conditions on $\psibasis$ for the extensivity}
In the case of the present basis set correction, as $\efuncdenpbe{\argebasis}$ depends only on local quantities, one sufficient condition for the extensivity is that these quantities are the same on the system $A$ that in the subsystem $A$ of the super system $A\ldots B$ in the limit of non interacting fragments $A$ and $B$.

16
new/H2/exact-H2 Normal file
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@ -0,0 +1,16 @@
# r exact
0.8 -1.0201
0.9 -1.0836
1 -1.1245
1.1 -1.1501
1.2 -1.1649
1.401 -1.1745
1.6 -1.1686
1.8 -1.1551
2 -1.1381
2.5 -1.0939
3 -1.0573
4 -1.0164
5 -1.0038
7 -1.0002
10 -1.0000

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@ -0,0 +1,16 @@
# FCI PBE PBEot
0.8 -0.98774534 -0.0081941322 -0.0089767455 -0.0090298021
0.9 -1.05810703 -0.0075150071 -0.0083645812 -0.0084169712
1 -1.10407481 -0.0068889057 -0.0077975068 -0.0078495602
1.1 -1.13340667 -0.0063147205 -0.0072736506 -0.0073256487
1.2 -1.15117357 -0.0057875741 -0.0067880725 -0.0068401472
1.401 -1.16462274 -0.0048517174 -0.0059105601 -0.0059623503
1.6 -1.16099407 -0.0040734576 -0.0051603302 -0.0052104107
1.8 -1.14878299 -0.0034330116 -0.0045225440 -0.0045695919
2 -1.13258840 -0.0029191049 -0.0039900351 -0.0040334744
2.5 -1.08930646 -0.0020139654 -0.0029726592 -0.0030071934
3 -1.05334365 -0.0013984289 -0.0021907089 -0.0022175781
4 -1.01390052 -0.0005131462 -0.0009294215 -0.0009460712
5 -1.00213136 -0.0001034495 -0.0002462059 -0.0002550347
7 -0.99884042 -0.0000025202 -0.0000119094 -0.0000126823
10 -0.99867607 -0.0000000054 -0.0000000656 -0.0000000771

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@ -0,0 +1,15 @@
0.8 0.03235466 0.0241605278 0.0233779145 0.0233779145 0.0251213117099
0.9 0.02549297 0.0179779629 0.0171283888 0.0171283888 0.0192184870604
1.0 0.02042519 0.0135362843 0.0126276832 0.0126276832 0.0143089215377
1.1 0.01669333 0.0103786095 0.0094196794 0.0094196794 0.0111960751747
1.2 0.01372643 0.0079388559 0.0069383575 0.0069383575 0.00862046684149
1.401 0.00987726 0.0050255426 0.0039666999 0.0039666999 0.00512718029929
1.6 0.00760593 0.0035324724 0.0024455998 0.0024455998 0.00387618897825
1.8 0.00631701 0.0028839984 0.001794466 0.001794466 0.00301132451411
2.0 0.0055116 0.0025924951 0.0015215649 0.0015215649 0.00285899442382
2.5 0.00459354 0.0025795746 0.0016208808 0.0016208808 0.00165346599043
3.0 0.00395635 0.0025579211 0.0017656411 0.0017656411 0.00166722137765
4.0 0.00249948 0.0019863338 0.0015700585 0.0015700585 0.00139942186268
5.0 0.00166864 0.0015651905 0.0014224341 0.0014224341 0.00055849562786
7.0 0.00135958 0.0013570598 0.0013476706 0.0013476706 0.00122548530656
10.0 0.00132393 0.0013239246 0.0013238644 0.0013238644 0.00124517468808

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@ -0,0 +1,15 @@
0.8 0.01093073 0.0027366032 0.0019540501 0.001901005 0.00377613702186 -0.0201
0.9 -0.05943096 -0.0669459617 -0.0677954756 -0.0678478541 -0.0656266876277 -0.0836
1.0 -0.10539874 -0.1122876403 -0.1131961812 -0.1132482231 -0.11143625315 -0.1245
1.1 -0.1347306 -0.1410453151 -0.142004185 -0.1420561716 -0.140149099513 -0.1501
1.2 -0.1524975 -0.1582850687 -0.1592855069 -0.1593375701 -0.157524707847 -0.1649
1.401 -0.16594667 -0.170798382 -0.1718571645 -0.1719089432 -0.170617994389 -0.1745
1.6 -0.162318 -0.1663914522 -0.1674782646 -0.1675283336 -0.16596898571 -0.1686
1.8 -0.15010692 -0.1535399262 -0.1546293984 -0.1546764348 -0.153333850174 -0.1551
2.0 -0.13391233 -0.1368314295 -0.1379022995 -0.1379457273 -0.136486180264 -0.1381
2.5 -0.09063039 -0.09264435 -0.0936029836 -0.0936375063 -0.0934917086976 -0.0939
3.0 -0.05466758 -0.0560660035 -0.0568582233 -0.056885081 -0.0568779533104 -0.0573
4.0 -0.01522445 -0.0157375908 -0.0161538059 -0.0161704441 -0.0162457528254 -0.0164
5.0 -0.00345529 -0.0035587341 -0.0037014303 -0.0037102476 -0.00448667906022 -0.0038
7.0 -0.00016435 -0.0001668648 -0.0001761938 -0.0001769552 -0.000219689381524 -0.0002
10.0 0.0 -2.70879316735e-18 1.23244882012e-17 -5.10113681083e-17 0.0 0.0

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@ -0,0 +1,15 @@
0.8 -0.98774534 -0.9959394722 -0.9967220855 -0.9967751421 -0.99497868829 -1.0201
0.9 -1.05810703 -1.0656220371 -1.0664716112 -1.0665240012 -1.06438151294 -1.0836
1.0 -1.10407481 -1.1109637157 -1.1118723168 -1.1119243702 -1.11019107846 -1.1245
1.1 -1.13340667 -1.1397213905 -1.1406803206 -1.1407323187 -1.13890392483 -1.1501
1.2 -1.15117357 -1.1569611441 -1.1579616425 -1.1580137172 -1.15627953316 -1.1649
1.401 -1.16462274 -1.1694744574 -1.1705333001 -1.1705850903 -1.1693728197 -1.1745
1.6 -1.16099407 -1.1650675276 -1.1661544002 -1.1662044807 -1.16472381102 -1.1686
1.8 -1.14878299 -1.1522160016 -1.153305534 -1.1533525819 -1.15208867549 -1.1551
2.0 -1.1325884 -1.1355075049 -1.1365784351 -1.1366218744 -1.13524100558 -1.1381
2.5 -1.08930646 -1.0913204254 -1.0922791192 -1.0923136534 -1.09224653401 -1.0939
3.0 -1.05334365 -1.0547420789 -1.0555343589 -1.0555612281 -1.05563277862 -1.0573
4.0 -1.01390052 -1.0144136662 -1.0148299415 -1.0148465912 -1.01500057814 -1.0164
5.0 -1.00213136 -1.0022348095 -1.0023775659 -1.0023863947 -1.00324150437 -1.0038
7.0 -0.99884042 -0.9988429402 -0.9988523294 -0.9988531023 -0.998974514693 -1.0002
10.0 -0.99867607 -0.9986760754 -0.9986761356 -0.9986761471 -0.998754825312 -1.0

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@ -0,0 +1,16 @@
# FCI PBE PBEot
0.8 -0.98774534 -0.0065486188 -0.0070891866 -0.0072254868
0.9 -1.05810703 -0.0058903024 -0.0064803621 -0.0066068062
1 -1.10407481 -0.0052964523 -0.0059287305 -0.0060460356
1.1 -1.13340667 -0.0047650583 -0.0054320192 -0.0055410204
1.2 -1.15117357 -0.0042904532 -0.0049847811 -0.0050862804
1.401 -1.16462274 -0.0034837882 -0.0042133532 -0.0043017705
1.6 -1.16099407 -0.0028514453 -0.0035945510 -0.0036720821
1.8 -1.14878299 -0.0023615072 -0.0031019720 -0.0031703322
2 -1.13258840 -0.0019941159 -0.0027198163 -0.0027805850
2.5 -1.08930646 -0.0014193061 -0.0020734609 -0.0021197132
3 -1.05334365 -0.0010681174 -0.0016197159 -0.0016537743
4 -1.01390052 -0.0004378281 -0.0007465653 -0.0007629729
5 -1.00213136 -0.0000839584 -0.0001923422 -0.0001999071
7 -0.99884042 -0.0000020195 -0.0000090251 -0.0000096745
10 -0.99867607 -0.0000000047 -0.0000000632 -0.0000000746

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@ -0,0 +1,15 @@
0.8 0.03235466 0.0258060412 0.0252654734 0.0252654734 0.0251213117099
0.9 0.02549297 0.0196026676 0.0190126079 0.0190126079 0.0192184870604
1.0 0.02042519 0.0151287377 0.0144964595 0.0144964595 0.0143089215377
1.1 0.01669333 0.0119282717 0.0112613108 0.0112613108 0.0111960751747
1.2 0.01372643 0.0094359768 0.0087416489 0.0087416489 0.00862046684149
1.401 0.00987726 0.0063934718 0.0056639068 0.0056639068 0.00512718029929
1.6 0.00760593 0.0047544847 0.004011379 0.004011379 0.00387618897825
1.8 0.00631701 0.0039555028 0.003215038 0.003215038 0.00301132451411
2.0 0.0055116 0.0035174841 0.0027917837 0.0027917837 0.00285899442382
2.5 0.00459354 0.0031742339 0.0025200791 0.0025200791 0.00165346599043
3.0 0.00395635 0.0028882326 0.0023366341 0.0023366341 0.00166722137765
4.0 0.00249948 0.0020616519 0.0017529147 0.0017529147 0.00139942186268
5.0 0.00166864 0.0015846816 0.0014762978 0.0014762978 0.00055849562786
7.0 0.00135958 0.0013575605 0.0013505549 0.0013505549 0.00122548530656
10.0 0.00132393 0.0013239253 0.0013238668 0.0013238668 0.00124517468808

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@ -0,0 +1,15 @@
0.8 0.01093073 0.0043821159 0.0038416066 0.0037053178 0.00377613702186 -0.0201
0.9 -0.05943096 -0.0653212577 -0.0659112589 -0.0660376916 -0.0656266876277 -0.0836
1.0 -0.10539874 -0.1106951876 -0.1113274073 -0.111444701 -0.11143625315 -0.1245
1.1 -0.1347306 -0.1394956536 -0.140162556 -0.1402715458 -0.140149099513 -0.1501
1.2 -0.1524975 -0.1567879485 -0.1574822179 -0.1575837058 -0.157524707847 -0.1649
1.401 -0.16594667 -0.1694304535 -0.17015996 -0.1702483659 -0.170617994389 -0.1745
1.6 -0.162318 -0.1651694406 -0.1659124878 -0.1659900075 -0.16596898571 -0.1686
1.8 -0.15010692 -0.1524684225 -0.1532088288 -0.1532771776 -0.153333850174 -0.1551
2.0 -0.13391233 -0.1359064412 -0.1366320831 -0.1366928404 -0.136486180264 -0.1381
2.5 -0.09063039 -0.0920496914 -0.0927037877 -0.0927500286 -0.0934917086976 -0.0939
3.0 -0.05466758 -0.0557356927 -0.0562872327 -0.0563212797 -0.0568779533104 -0.0573
4.0 -0.01522445 -0.0156622734 -0.0159709521 -0.0159873483 -0.0162457528254 -0.0164
5.0 -0.00345529 -0.0035392437 -0.003647569 -0.0036551225 -0.00448667906022 -0.0038
7.0 -0.00016435 -0.0001663648 -0.0001733119 -0.0001739499 -0.000219689381524 -0.0002
10.0 0.0 5.52094660542e-17 -1.11432345818e-17 4.48172676279e-17 0.0 0.0

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@ -0,0 +1,15 @@
0.8 -0.98774534 -0.9942939588 -0.9948345266 -0.9949708268 -0.99497868829 -1.0201
0.9 -1.05810703 -1.0639973324 -1.0645873921 -1.0647138362 -1.06438151294 -1.0836
1.0 -1.10407481 -1.1093712623 -1.1100035405 -1.1101208456 -1.11019107846 -1.1245
1.1 -1.13340667 -1.1381717283 -1.1388386892 -1.1389476904 -1.13890392483 -1.1501
1.2 -1.15117357 -1.1554640232 -1.1561583511 -1.1562598504 -1.15627953316 -1.1649
1.401 -1.16462274 -1.1681065282 -1.1688360932 -1.1689245105 -1.1693728197 -1.1745
1.6 -1.16099407 -1.1638455153 -1.164588621 -1.1646661521 -1.16472381102 -1.1686
1.8 -1.14878299 -1.1511444972 -1.151884962 -1.1519533222 -1.15208867549 -1.1551
2.0 -1.1325884 -1.1345825159 -1.1353082163 -1.135368985 -1.13524100558 -1.1381
2.5 -1.08930646 -1.0907257661 -1.0913799209 -1.0914261732 -1.09224653401 -1.0939
3.0 -1.05334365 -1.0544117674 -1.0549633659 -1.0549974243 -1.05563277862 -1.0573
4.0 -1.01390052 -1.0143383481 -1.0146470853 -1.0146634929 -1.01500057814 -1.0164
5.0 -1.00213136 -1.0022153184 -1.0023237022 -1.0023312671 -1.00324150437 -1.0038
7.0 -0.99884042 -0.9988424395 -0.9988494451 -0.9988500945 -0.998974514693 -1.0002
10.0 -0.99867607 -0.9986760747 -0.9986761332 -0.9986761446 -0.998754825312 -1.0

Binary file not shown.

15
new/H2_avdz/data/data_f12 Normal file
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@ -0,0 +1,15 @@
0.8 -1.0201 -0.9877453892800230 -0.9949786882900604
0.9 -1.0836 -1.0581070684696585 -1.0643815129396059
1 -1.1245 -1.1040748327654808 -1.1101910784622979
1.1 -1.1501 -1.1334066852596605 -1.1389039248252977
1.2 -1.1649 -1.1511735850271292 -1.1562795331585107
1.401 -1.1745 -1.1646227366051742 -1.1693728197007085
1.6 -1.1686 -1.1609940648670030 -1.1647238110217524
1.8 -1.1551 -1.1487829768948086 -1.1520886754858912
2 -1.1381 -1.1325883841002458 -1.1352410055761815
2.5 -1.0939 -1.0893064413919156 -1.0922465340095675
3 -1.0573 -1.0533436361727893 -1.0556327786223507
4 -1.0164 -1.0139005100913896 -1.0150005781373213
5 -1.0038 -1.0021313618457466 -1.0032415043721401
7 -1.0002 -0.9988400997550585 -0.9989745146934440
10 -1.0000 -0.9986759448956809 -0.9987548253119199

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@ -0,0 +1,15 @@
0.8 -0.98774534
0.9 -1.05810703
1 -1.10407481
1.1 -1.13340667
1.2 -1.15117357
1.401 -1.16462274
1.6 -1.16099407
1.8 -1.14878299
2 -1.13258840
2.5 -1.08930646
3 -1.05334365
4 -1.01390052
5 -1.00213136
7 -0.99884042
10 -0.99867607

16
new/H2_avdz/data/exact-H2 Normal file
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@ -0,0 +1,16 @@
# r exact
0.8 -1.0201
0.9 -1.0836
1 -1.1245
1.1 -1.1501
1.2 -1.1649
1.401 -1.1745
1.6 -1.1686
1.8 -1.1551
2 -1.1381
2.5 -1.0939
3 -1.0573
4 -1.0164
5 -1.0038
7 -1.0002
10 -1.0000

123
new/H2_avdz/data/produce_data.py Executable file
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@ -0,0 +1,123 @@
#!/usr/bin/env python2
import sys
import os
atom = sys.argv[1]
number = sys.argv[2]
basis = sys.argv[3]
method = sys.argv[4]
is_f12=os.path.exists("data_f12")
if is_f12 :
f12=[]
with open("data_f12", "r") as fp:
ndistances=0
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
f12.append(float(a[3]))
ndistances += 1
f12_at = f12[ndistances-1]
filemethod = "data_"+method+"_"+basis
fileexact = "exact-"+atom+number
distance = []
wf = []
pbe = []
pbeot = []
pbeotnospin = []
ndistances=0
with open(filemethod, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
distance.append(float(a[0]))
wf.append(float(a[1]))
pbe.append(float(a[2]))
pbeot.append(float(a[3]))
pbeotnospin.append(float(a[4]))
ndistances += 1
print ndistances
wf_at = wf[ndistances-1]
pbe_at = pbe[ndistances-1]
pbeot_at = pbeot[ndistances-1]
pbeot_atnospin = pbeotnospin[ndistances-1]
ndistancesexact=0
exact = []
with open(fileexact, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
exact.append(float(a[1]))
ndistancesexact += 1
exact_at = exact[ndistances-1]
print ndistancesexact
wf_pbe = []
wf_pbeot = []
wf_pbeotnospin = []
relat_wf = []
relat_f12 = []
relat_pbe = []
relat_pbeot = []
relat_pbeotnospin = []
relat_exact = []
error_wf = []
error_f12 = []
error_pbe = []
error_pbeot = []
error_pbeotnospin = []
for i in range(ndistances):
wf_pbe.append(wf[i] + pbe[i])
wf_pbeot.append(wf[i] + pbeot[i])
wf_pbeotnospin.append(wf[i] + pbeotnospin[i])
relat_wf.append(wf[i] - wf_at)
relat_pbe.append(wf_pbe[i] - wf_at- pbe_at)
relat_pbeot.append(wf_pbeot[i] - wf_at - pbeot_at)
relat_pbeotnospin.append(wf_pbeotnospin[i] - wf_at - pbeot_atnospin)
relat_exact.append(exact[i] - exact_at)
error_wf.append(wf[i] - exact[i])
error_pbe.append(wf_pbe[i] - exact[i])
error_pbeot.append(wf_pbeot[i] - exact[i])
error_pbeotnospin.append(wf_pbeotnospin[i] - exact[i])
if is_f12 :
relat_f12.append(f12[i] - f12_at)
error_f12.append(f12[i] - exact[i])
file_data=filemethod+"E_tot"
file_output = open(file_data,"w+")
file_data_relat=filemethod+"E_relat"
file_data_error=filemethod+"E_error"
file_output_relat = open(file_data_relat,"w+")
file_output_error = open(file_data_error,"w+")
for i in range(ndistances):
if is_f12 :
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(f12[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' ' + str(relat_f12[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) +' ' + str(error_f12[i]) + '\n')
else:
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) + '\n')

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@ -0,0 +1,123 @@
#!/usr/bin/env python2
import sys
import os
atom = sys.argv[1]
number = sys.argv[2]
basis = sys.argv[3]
method = sys.argv[4]
is_f12=os.path.exists("data_f12")
if is_f12 :
f12=[]
with open("data_f12", "r") as fp:
ndistances=0
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
f12.append(float(a[3]))
ndistances += 1
f12_at = f12[ndistances-1]
filemethod = "data_"+method+"_full_"+basis
fileexact = "exact-"+atom+number
distance = []
wf = []
pbe = []
pbeot = []
pbeotnospin = []
ndistances=0
with open(filemethod, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
distance.append(float(a[0]))
wf.append(float(a[1]))
pbe.append(float(a[2]))
pbeot.append(float(a[3]))
pbeotnospin.append(float(a[4]))
ndistances += 1
print ndistances
wf_at = wf[ndistances-1]
pbe_at = pbe[ndistances-1]
pbeot_at = pbeot[ndistances-1]
pbeot_atnospin = pbeotnospin[ndistances-1]
ndistancesexact=0
exact = []
with open(fileexact, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
exact.append(float(a[1]))
ndistancesexact += 1
exact_at = exact[ndistances-1]
print ndistancesexact
wf_pbe = []
wf_pbeot = []
wf_pbeotnospin = []
relat_wf = []
relat_f12 = []
relat_pbe = []
relat_pbeot = []
relat_pbeotnospin = []
relat_exact = []
error_wf = []
error_f12 = []
error_pbe = []
error_pbeot = []
error_pbeotnospin = []
for i in range(ndistances):
wf_pbe.append(wf[i] + pbe[i])
wf_pbeot.append(wf[i] + pbeot[i])
wf_pbeotnospin.append(wf[i] + pbeotnospin[i])
relat_wf.append(wf[i] - wf_at)
relat_pbe.append(wf_pbe[i] - wf_at- pbe_at)
relat_pbeot.append(wf_pbeot[i] - wf_at - pbeot_at)
relat_pbeotnospin.append(wf_pbeotnospin[i] - wf_at - pbeot_atnospin)
relat_exact.append(exact[i] - exact_at)
error_wf.append(wf[i] - exact[i])
error_pbe.append(wf_pbe[i] - exact[i])
error_pbeot.append(wf_pbeot[i] - exact[i])
error_pbeotnospin.append(wf_pbeotnospin[i] - exact[i])
if is_f12 :
relat_f12.append(f12[i] - f12_at)
error_f12.append(f12[i] - exact[i])
file_data=filemethod+"E_tot_full"
file_output = open(file_data,"w+")
file_data_relat=filemethod+"E_relat_full"
file_data_error=filemethod+"E_error_full"
file_output_relat = open(file_data_relat,"w+")
file_output_error = open(file_data_error,"w+")
for i in range(ndistances):
if is_f12 :
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(f12[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' ' + str(relat_f12[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) +' ' + str(error_f12[i]) + '\n')
else:
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) + '\n')

View File

@ -0,0 +1,909 @@
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126.301 10.75 m 126.301 14.449 l S Q
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301.398 197.898 m 301.398 194.199 l S Q
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301.398 10.75 m 301.398 14.449 l S Q
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345.148 197.898 m 345.148 194.199 l S Q
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345.148 10.75 m 345.148 14.449 l S Q
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76.648 71.75 m 79.648 74.75 l S Q
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81 120.051 m 84 123.051 l S Q
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85.398 153.898 m 88.398 150.898 l S Q
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107.301 179.898 m 110.301 182.898 l S Q
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116.051 167.051 m 119.051 170.051 l S Q
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124.801 150.051 m 127.801 153.051 l S Q
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146.699 104.551 m 149.699 107.551 l S Q
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168.551 66.75 m 171.551 69.75 l S Q
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168.551 69.75 m 171.551 66.75 l S Q
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212.352 25.25 m 215.352 28.25 l S Q
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256.102 12.898 m 259.102 15.898 l S Q
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256.102 15.898 m 259.102 12.898 l S Q
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343.648 9.398 m 346.648 12.398 l S Q
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343.648 12.398 m 346.648 9.398 l S Q
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321.398 169.449 m 324.398 172.449 l S Q
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321.398 172.449 m 324.398 169.449 l S Q
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73.898 10.75 m 76.5 56.898 l 79.25 96.602 l 82 125.199 l 84.75 146.801
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108.801 185.398 m 108.801 188.398 l S Q
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107.301 185.398 m 110.301 188.398 l S Q
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107.301 188.398 m 110.301 185.398 l S Q
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116.051 173.398 m 119.051 173.398 l S Q
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117.551 171.898 m 117.551 174.898 l S Q
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116.051 171.898 m 119.051 174.898 l S Q
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116.051 174.898 m 119.051 171.898 l S Q
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124.801 155.801 m 127.801 155.801 l S Q
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124.801 154.301 m 127.801 157.301 l S Q
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124.801 157.301 m 127.801 154.301 l S Q
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146.699 107.699 m 149.699 110.699 l S Q
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166.551 88.398 166.551 88.398 168.551 c S Q
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182.148 92.801 182.148 92.801 184.148 c S Q
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101.551 194.199 m 101.551 196.199 98.551 196.199 98.551 194.199 c 98.551
192.199 101.551 192.199 101.551 194.199 c S Q
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110.301 188 m 110.301 190 107.301 190 107.301 188 c 107.301 186 110.301
186 110.301 188 c S Q
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44.199 119.051 44.199 119.051 42.199 c f
q 1 0 0 -1 0 216 cm
119.051 173.801 m 119.051 175.801 116.051 175.801 116.051 173.801 c 116.051
171.801 119.051 171.801 119.051 173.801 c S Q
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q 1 0 0 -1 0 216 cm
127.801 155.949 m 127.801 157.949 124.801 157.949 124.801 155.949 c 124.801
153.949 127.801 153.949 127.801 155.949 c S Q
149.699 106.5 m 149.699 104.5 146.699 104.5 146.699 106.5 c 146.699 108.5
149.699 108.5 149.699 106.5 c f
q 1 0 0 -1 0 216 cm
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149.699 107.5 149.699 109.5 c S Q
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346.648 205.051 m 346.648 203.051 343.648 203.051 343.648 205.051 c 343.648
207.051 346.648 207.051 346.648 205.051 c f
q 1 0 0 -1 0 216 cm
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%%Trailer
end restore
%%EOF

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50 dict begin
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85.75 l 280.551 80.301 l 283.352 74.75 l 286.148 69.051 l 288.949 63.199
l 291.75 57.301 l 294.602 51.25 l 297.398 45.102 l 300.199 38.898 l 303
32.551 l 305.801 26.148 l 308.648 19.699 l 311.449 13.148 l 312.449 10.75
l S Q
0 g
BT
8 0 0 8 56.851562 32.722656 Tm
/f-0-0 1 Tf
(FCI+PBEot0)Tj
/f-0-1 1 Tf
<01>Tj
/f-0-0 1 Tf
(/avdz)Tj
ET
0.337255 0.705882 0.913725 rg
q 1 0 0 -1 0 216 cm
158.25 73.148 m 161.25 73.148 l S Q
q 1 0 0 -1 0 216 cm
159.75 71.648 m 159.75 74.648 l S Q
q 1 0 0 -1 0 216 cm
158.25 71.648 m 161.25 74.648 l S Q
q 1 0 0 -1 0 216 cm
158.25 74.648 m 161.25 71.648 l S Q
q 1 0 0 -1 0 216 cm
204.801 157.199 m 207.801 157.199 l S Q
q 1 0 0 -1 0 216 cm
206.301 155.699 m 206.301 158.699 l S Q
q 1 0 0 -1 0 216 cm
204.801 155.699 m 207.801 158.699 l S Q
q 1 0 0 -1 0 216 cm
204.801 158.699 m 207.801 155.699 l S Q
q 1 0 0 -1 0 216 cm
250.949 127.898 m 253.949 127.898 l S Q
q 1 0 0 -1 0 216 cm
252.449 126.398 m 252.449 129.398 l S Q
q 1 0 0 -1 0 216 cm
250.949 126.398 m 253.949 129.398 l S Q
q 1 0 0 -1 0 216 cm
250.949 129.398 m 253.949 126.398 l S Q
q 1 0 0 -1 0 216 cm
297.301 42 m 300.301 42 l S Q
q 1 0 0 -1 0 216 cm
298.801 40.5 m 298.801 43.5 l S Q
q 1 0 0 -1 0 216 cm
297.301 40.5 m 300.301 43.5 l S Q
q 1 0 0 -1 0 216 cm
297.301 43.5 m 300.301 40.5 l S Q
q 1 0 0 -1 0 216 cm
146.199 180.25 m 149.199 180.25 l S Q
q 1 0 0 -1 0 216 cm
147.699 178.75 m 147.699 181.75 l S Q
q 1 0 0 -1 0 216 cm
146.199 178.75 m 149.199 181.75 l S Q
q 1 0 0 -1 0 216 cm
146.199 181.75 m 149.199 178.75 l S Q
0.898039 0.117647 0.0627451 rg
q 1 0 0 -1 0 216 cm
136.449 10.75 m 137.25 15.398 l 140.051 30.551 l 142.898 44.699 l 145.699
57.801 l 148.5 70 l 151.301 81.25 l 154.102 91.75 l 156.949 101.398 l 159.75
110.352 l 162.551 118.602 l 165.352 126.199 l 168.148 133.148 l 170.949
139.5 l 173.801 145.25 l 176.602 150.449 l 179.398 155.051 l 182.199 159.102
l 185 162.648 l 187.852 165.699 l 190.648 168.25 l 193.449 170.352 l 196.25
172 l 199.051 173.199 l 201.852 174 l 204.699 174.449 l 207.5 174.5 l 210.301
174.199 l 213.102 173.551 l 215.898 172.551 l 218.75 171.25 l 221.551 169.648
l 224.352 167.801 l 227.148 165.602 l 229.949 163.148 l 232.801 160.449
l 235.602 157.449 l 238.398 154.25 l 241.199 150.852 l 244 147.199 l 246.801
143.352 l 249.648 139.301 l 252.449 135.051 l 255.25 130.699 l 258.051
126.102 l 260.852 121.398 l 263.699 116.551 l 266.5 111.5 l 269.301 106.352
l 272.102 101.051 l 274.898 95.602 l 277.75 90.051 l 280.551 84.398 l 283.352
78.602 l 286.148 72.648 l 288.949 66.648 l 291.75 60.551 l 294.602 54.352
l 297.398 48 l 300.199 41.648 l 303 35.148 l 305.801 28.602 l 308.648 22
l 311.449 15.301 l 313.352 10.75 l S Q
0 g
BT
8 0 0 8 108.296875 23.449219 Tm
/f-0-0 1 Tf
(Exact)Tj
ET
0.898039 0.117647 0.0627451 rg
138.051 204.602 m 138.051 202.602 135.051 202.602 135.051 204.602 c 135.051
206.602 138.051 206.602 138.051 204.602 c f
q 1 0 0 -1 0 216 cm
138.051 11.398 m 138.051 13.398 135.051 13.398 135.051 11.398 c 135.051
9.398 138.051 9.398 138.051 11.398 c S Q
161.25 105.648 m 161.25 103.648 158.25 103.648 158.25 105.648 c 158.25
107.648 161.25 107.648 161.25 105.648 c f
q 1 0 0 -1 0 216 cm
161.25 110.352 m 161.25 112.352 158.25 112.352 158.25 110.352 c 158.25
108.352 161.25 108.352 161.25 110.352 c S Q
207.801 41.5 m 207.801 39.5 204.801 39.5 204.801 41.5 c 204.801 43.5 207.801
43.5 207.801 41.5 c f
q 1 0 0 -1 0 216 cm
207.801 174.5 m 207.801 176.5 204.801 176.5 204.801 174.5 c 204.801 172.5
207.801 172.5 207.801 174.5 c S Q
253.949 80.949 m 253.949 78.949 250.949 78.949 250.949 80.949 c 250.949
82.949 253.949 82.949 253.949 80.949 c f
q 1 0 0 -1 0 216 cm
253.949 135.051 m 253.949 137.051 250.949 137.051 250.949 135.051 c 250.949
133.051 253.949 133.051 253.949 135.051 c S Q
300.301 171.148 m 300.301 169.148 297.301 169.148 297.301 171.148 c 297.301
173.148 300.301 173.148 300.301 171.148 c f
q 1 0 0 -1 0 216 cm
300.301 44.852 m 300.301 46.852 297.301 46.852 297.301 44.852 c 297.301
42.852 300.301 42.852 300.301 44.852 c S Q
149.199 26.449 m 149.199 24.449 146.199 24.449 146.199 26.449 c 146.199
28.449 149.199 28.449 149.199 26.449 c f
q 1 0 0 -1 0 216 cm
149.199 189.551 m 149.199 191.551 146.199 191.551 146.199 189.551 c 146.199
187.551 149.199 187.551 149.199 189.551 c S Q
0 g
q 1 0 0 -1 0 216 cm
43.852 10.75 301.297 187.148 re S Q
Q Q
showpage
%%Trailer
end restore
%%EOF

View File

@ -0,0 +1,16 @@
# FCI PBE PBEot
0.8 -0.98774534 -0.0081941322 -0.0089767455 -0.0090298021
0.9 -1.05810703 -0.0075150071 -0.0083645812 -0.0084169712
1 -1.10407481 -0.0068889057 -0.0077975068 -0.0078495602
1.1 -1.13340667 -0.0063147205 -0.0072736506 -0.0073256487
1.2 -1.15117357 -0.0057875741 -0.0067880725 -0.0068401472
1.401 -1.16462274 -0.0048517174 -0.0059105601 -0.0059623503
1.6 -1.16099407 -0.0040734576 -0.0051603302 -0.0052104107
1.8 -1.14878299 -0.0034330116 -0.0045225440 -0.0045695919
2 -1.13258840 -0.0029191049 -0.0039900351 -0.0040334744
2.5 -1.08930646 -0.0020139654 -0.0029726592 -0.0030071934
3 -1.05334365 -0.0013984289 -0.0021907089 -0.0022175781
4 -1.01390052 -0.0005131462 -0.0009294215 -0.0009460712
5 -1.00213136 -0.0001034495 -0.0002462059 -0.0002550347
7 -0.99884042 -0.0000025202 -0.0000119094 -0.0000126823
10 -0.99867607 -0.0000000054 -0.0000000656 -0.0000000771

View File

@ -0,0 +1,15 @@
0.8 0.03235466 0.0241605278 0.0233779145 0.0233779145
0.9 0.02549297 0.0179779629 0.0171283888 0.0171283888
1.0 0.02042519 0.0135362843 0.0126276832 0.0126276832
1.1 0.01669333 0.0103786095 0.0094196794 0.0094196794
1.2 0.01372643 0.0079388559 0.0069383575 0.0069383575
1.401 0.00987726 0.0050255426 0.0039666999 0.0039666999
1.6 0.00760593 0.0035324724 0.0024455998 0.0024455998
1.8 0.00631701 0.0028839984 0.001794466 0.001794466
2.0 0.0055116 0.0025924951 0.0015215649 0.0015215649
2.5 0.00459354 0.0025795746 0.0016208808 0.0016208808
3.0 0.00395635 0.0025579211 0.0017656411 0.0017656411
4.0 0.00249948 0.0019863338 0.0015700585 0.0015700585
5.0 0.00166864 0.0015651905 0.0014224341 0.0014224341
7.0 0.00135958 0.0013570598 0.0013476706 0.0013476706
10.0 0.00132393 0.0013239246 0.0013238644 0.0013238644

View File

@ -0,0 +1,15 @@
0.8 0.01093073 0.0027366032 0.0019540501 0.001901005 -0.0201
0.9 -0.05943096 -0.0669459617 -0.0677954756 -0.0678478541 -0.0836
1.0 -0.10539874 -0.1122876403 -0.1131961812 -0.1132482231 -0.1245
1.1 -0.1347306 -0.1410453151 -0.142004185 -0.1420561716 -0.1501
1.2 -0.1524975 -0.1582850687 -0.1592855069 -0.1593375701 -0.1649
1.401 -0.16594667 -0.170798382 -0.1718571645 -0.1719089432 -0.1745
1.6 -0.162318 -0.1663914522 -0.1674782646 -0.1675283336 -0.1686
1.8 -0.15010692 -0.1535399262 -0.1546293984 -0.1546764348 -0.1551
2.0 -0.13391233 -0.1368314295 -0.1379022995 -0.1379457273 -0.1381
2.5 -0.09063039 -0.09264435 -0.0936029836 -0.0936375063 -0.0939
3.0 -0.05466758 -0.0560660035 -0.0568582233 -0.056885081 -0.0573
4.0 -0.01522445 -0.0157375908 -0.0161538059 -0.0161704441 -0.0164
5.0 -0.00345529 -0.0035587341 -0.0037014303 -0.0037102476 -0.0038
7.0 -0.00016435 -0.0001668648 -0.0001761938 -0.0001769552 -0.0002
10.0 0.0 -2.70879316735e-18 1.23244882012e-17 -5.10113681083e-17 0.0

View File

@ -0,0 +1,15 @@
0.8 -0.98774534 -0.9959394722 -0.9967220855 -0.9967751421 -1.0201
0.9 -1.05810703 -1.0656220371 -1.0664716112 -1.0665240012 -1.0836
1.0 -1.10407481 -1.1109637157 -1.1118723168 -1.1119243702 -1.1245
1.1 -1.13340667 -1.1397213905 -1.1406803206 -1.1407323187 -1.1501
1.2 -1.15117357 -1.1569611441 -1.1579616425 -1.1580137172 -1.1649
1.401 -1.16462274 -1.1694744574 -1.1705333001 -1.1705850903 -1.1745
1.6 -1.16099407 -1.1650675276 -1.1661544002 -1.1662044807 -1.1686
1.8 -1.14878299 -1.1522160016 -1.153305534 -1.1533525819 -1.1551
2.0 -1.1325884 -1.1355075049 -1.1365784351 -1.1366218744 -1.1381
2.5 -1.08930646 -1.0913204254 -1.0922791192 -1.0923136534 -1.0939
3.0 -1.05334365 -1.0547420789 -1.0555343589 -1.0555612281 -1.0573
4.0 -1.01390052 -1.0144136662 -1.0148299415 -1.0148465912 -1.0164
5.0 -1.00213136 -1.0022348095 -1.0023775659 -1.0023863947 -1.0038
7.0 -0.99884042 -0.9988429402 -0.9988523294 -0.9988531023 -1.0002
10.0 -0.99867607 -0.9986760754 -0.9986761356 -0.9986761471 -1.0

Binary file not shown.

View File

@ -0,0 +1,15 @@
0.8 -1.0201 -0.9877453892800230 -0.9949786882900604
0.9 -1.0836 -1.0581070684696585 -1.0643815129396059
1 -1.1245 -1.1040748327654808 -1.1101910784622979
1.1 -1.1501 -1.1334066852596605 -1.1389039248252977
1.2 -1.1649 -1.1511735850271292 -1.1562795331585107
1.401 -1.1745 -1.1646227366051742 -1.1693728197007085
1.6 -1.1686 -1.1609940648670030 -1.1647238110217524
1.8 -1.1551 -1.1487829768948086 -1.1520886754858912
2 -1.1381 -1.1325883841002458 -1.1352410055761815
2.5 -1.0939 -1.0893064413919156 -1.0922465340095675
3 -1.0573 -1.0533436361727893 -1.0556327786223507
4 -1.0164 -1.0139005100913896 -1.0150005781373213
5 -1.0038 -1.0021313618457466 -1.0032415043721401
7 -1.0002 -0.9988400997550585 -0.9989745146934440
10 -1.0000 -0.9986759448956809 -0.9987548253119199

View File

@ -0,0 +1,15 @@
0.8 -0.98774534
0.9 -1.05810703
1 -1.10407481
1.1 -1.13340667
1.2 -1.15117357
1.401 -1.16462274
1.6 -1.16099407
1.8 -1.14878299
2 -1.13258840
2.5 -1.08930646
3 -1.05334365
4 -1.01390052
5 -1.00213136
7 -0.99884042
10 -0.99867607

64
new/H2_avdz/plots/plot.sh Executable file
View File

@ -0,0 +1,64 @@
WF=FCI
BASIS=avdz
METHOD=DFT
TYPE=relat
FILE=data_${METHOD}_${BASIS}E_${TYPE}
OUT=${METHOD}_${BASIS}E_${TYPE}
#lt -1
cat << EOF > pouet.gp
set xrange [:7]
set yrange [-0.178:0]
set key bottom
plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "${WF}/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "${WF}+PBEot0{/Symbol z}/$BASIS"
replot '${FILE}' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 0.5 title "Exact"
set terminal eps enhanced linewidth 3
set output "${OUT}.eps"
replot
EOF
gnuplot pouet.gp
if [[ $METHOD == "DFT" ]]; then
OUT=${METHOD}_${BASIS}E_${TYPE}_zoom
cat << EOF > pouet.gp
set xrange [.7:2.]
set yrange [-0.178:-0.15]
set key bottom left
plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "${WF}/$BASIS"
replot '${FILE}' using 1:3 smooth cspline notitle lt 8 , "" using 1:3 w p lt 8 ps 0.5 title "${WF}+PBE/$BASIS"
replot '${FILE}' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 0.5 title "${WF}+PBEot/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "${WF}+PBEot0{/Symbol z}/$BASIS"
replot '${FILE}' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 0.5 title "Exact"
set terminal eps enhanced linewidth 3
set output "${OUT}.eps"
replot
EOF
fi
gnuplot pouet.gp
TYPE=error
FILE=data_${METHOD}_${BASIS}E_${TYPE}
OUT=${METHOD}_${BASIS}E_${TYPE}
#lt -1
cat << EOF > pouet.gp
set xrange [:7]
plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "${WF}/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "${WF}+PBEot{/Symbol z}/$BASIS"
replot '${FILE}' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 0.5 title "${WF}+PBEot/$BASIS"
replot '${FILE}' using 1:3 smooth cspline notitle lt 8 , "" using 1:3 w p lt 8 ps 0.5 title "${WF}+PBE/$BASIS"
set terminal eps enhanced linewidth 3
set output "${OUT}.eps"
replot
EOF
gnuplot pouet.gp

View File

@ -0,0 +1,9 @@
set xrange [:7]
plot 'data_DFT_avdzE_error' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "FCI/avdz"
replot 'data_DFT_avdzE_error' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "FCI+PBEot{/Symbol z}/avdz"
replot 'data_DFT_avdzE_error' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 0.5 title "FCI+PBEot/avdz"
replot 'data_DFT_avdzE_error' using 1:3 smooth cspline notitle lt 8 , "" using 1:3 w p lt 8 ps 0.5 title "FCI+PBE/avdz"
set terminal eps enhanced linewidth 3
set output "DFT_avdzE_error.eps"
replot

View File

@ -0,0 +1,16 @@
# FCI PBE PBEot
0.8 -1.01572072342232 -0.0027514871 -0.0035434055 -0.0035532869
0.9 -1.08017011921229 -0.0024707675 -0.0032604511 -0.0032699084
1 -1.12167539872052 -0.0022291306 -0.0030128819 -0.0030219488
1.1 -1.14761244402079 -0.0020179660 -0.0027930306 -0.0028017339
1.2 -1.16277297898841 -0.0018322362 -0.0025966399 -0.0026050064
1.401 -1.17263388078596 -0.0015238011 -0.0022628398 -0.0022706299
1.6 -1.16692025990694 -0.0012863136 -0.0019962490 -0.0020035920
1.8 -1.15355385610108 -0.0010971719 -0.0017743619 -0.0017812600
2 -1.1367403452352 -0.0009450133 -0.0015877050 -0.0015941183
2.5 -1.09275627513954 -0.0006674350 -0.0012191050 -0.0012243517
3 -1.05634660301335 -0.0004519956 -0.0008975904 -0.0009017477
4 -1.01576691073486 -0.0001369097 -0.0003480540 -0.0003503654
5 -1.00332750482595 -0.0000272412 -0.0000963207 -0.0000974825
7 -0.999827161999526 -0.0000007404 -0.0000056698 -0.0000058980
10 -0.99965045434706 -0.0000000018 -0.0000000497 -0.0000000567

View File

@ -0,0 +1,15 @@
0.8 0.00437927657767 0.00162778947767 0.00083587107767 0.00083587107767
0.9 0.00342988078769 0.00095911328769 0.00016942968769 0.00016942968769
1.0 0.00282460127947 0.00059547067947 -0.00018828062053 -0.00018828062053
1.1 0.0024875559792 0.0004695899792 -0.0003054746208 -0.0003054746208
1.2 0.00212702101161 0.00029478481161 -0.00046961888839 -0.00046961888839
1.401 0.00186611921404 0.00034231811404 -0.00039672058596 -0.00039672058596
1.6 0.00167974009305 0.00039342649305 -0.00031650890695 -0.00031650890695
1.8 0.0015461438989 0.0004489719989 -0.0002282180011 -0.0002282180011
2.0 0.0013596547648 0.0004146414648 -0.0002280502352 -0.0002280502352
2.5 0.00114372486046 0.00047628986046 -7.53801395401e-05 -7.53801395401e-05
3.0 0.00095339698665 0.00050140138665 5.58065866501e-05 5.58065866501e-05
4.0 0.00063308926513 0.00049617956513 0.00028503526513 0.00028503526513
5.0 0.00047249517404 0.00044525397404 0.00037617447404 0.00037617447404
7.0 0.000372838000474 0.000372097600474 0.000367168200474 0.000367168200474
10.0 0.000349545652943 0.000349543852943 0.000349495952943 0.000349495952943

View File

@ -0,0 +1,15 @@
0.8 -0.0160702690753 -0.0188217543753 -0.0196136248753 -0.0196234992753 -0.0201
0.9 -0.0805196648653 -0.0829904305653 -0.0837800662653 -0.0837895165653 -0.0836
1.0 -0.122024944373 -0.124254073173 -0.125037776573 -0.125046836473 -0.1245
1.1 -0.147961989674 -0.149979953874 -0.150754970574 -0.150763666874 -0.1501
1.2 -0.163122524641 -0.164954759041 -0.165719114841 -0.165727474341 -0.1649
1.401 -0.172983426439 -0.174507225739 -0.175246216539 -0.175253999639 -0.1745
1.6 -0.16726980556 -0.16855611736 -0.16926600486 -0.16927334086 -0.1686
1.8 -0.153903401754 -0.155000571854 -0.155677713954 -0.155684605054 -0.1551
2.0 -0.137089890888 -0.138034902388 -0.138677546188 -0.138683952488 -0.1381
2.5 -0.0931058207925 -0.0937732539925 -0.0943248760925 -0.0943301157925 -0.0939
3.0 -0.0566961486663 -0.0571481424663 -0.0575936893663 -0.0575978396663 -0.0573
4.0 -0.0161164563878 -0.0162533642878 -0.0164644606878 -0.0164667650878 -0.0164
5.0 -0.0036770504789 -0.0037042898789 -0.0037733214789 -0.0037744762789 -0.0038
7.0 -0.000176707652469 -0.000177446252469 -0.000182327752469 -0.000182548952469 -0.0002
10.0 0.0 -3.79103653478e-17 -4.3712458732e-18 -2.84423340474e-17 0.0

View File

@ -0,0 +1,15 @@
0.8 -1.01572072342 -1.01847221052 -1.01926412892 -1.01927401032 -1.0201
0.9 -1.08017011921 -1.08264088671 -1.08343057031 -1.08344002761 -1.0836
1.0 -1.12167539872 -1.12390452932 -1.12468828062 -1.12469734752 -1.1245
1.1 -1.14761244402 -1.14963041002 -1.15040547462 -1.15041417792 -1.1501
1.2 -1.16277297899 -1.16460521519 -1.16536961889 -1.16537798539 -1.1649
1.401 -1.17263388079 -1.17415768189 -1.17489672059 -1.17490451069 -1.1745
1.6 -1.16692025991 -1.16820657351 -1.16891650891 -1.16892385191 -1.1686
1.8 -1.1535538561 -1.154651028 -1.155328218 -1.1553351161 -1.1551
2.0 -1.13674034524 -1.13768535854 -1.13832805024 -1.13833446354 -1.1381
2.5 -1.09275627514 -1.09342371014 -1.09397538014 -1.09398062684 -1.0939
3.0 -1.05634660301 -1.05679859861 -1.05724419341 -1.05724835071 -1.0573
4.0 -1.01576691073 -1.01590382043 -1.01611496473 -1.01611727613 -1.0164
5.0 -1.00332750483 -1.00335474603 -1.00342382553 -1.00342498733 -1.0038
7.0 -0.999827162 -0.9998279024 -0.9998328318 -0.99983306 -1.0002
10.0 -0.999650454347 -0.999650456147 -0.999650504047 -0.999650511047 -1.0

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# FCI PBE PBEot
0.8 -1.01572072342232 -0.0017973640 -0.0022859977 -0.0023117493
0.9 -1.08017011921229 -0.0015797450 -0.0020577585 -0.0020799135
1 -1.12167539872052 -0.0013966368 -0.0018624337 -0.0018817067
1.1 -1.14761244402079 -0.0012403291 -0.0016929430 -0.0017098657
1.2 -1.16277297898841 -0.0011059127 -0.0015449079 -0.0015599003
1.401 -1.17263388078596 -0.0008896207 -0.0013013658 -0.0013134615
1.6 -1.16692025990694 -0.0007303200 -0.0011159327 -0.0011260759
1.8 -1.15355385610108 -0.0006097484 -0.0009700102 -0.0009787573
2 -1.1367403452352 -0.0005181405 -0.0008546956 -0.0008624223
2.5 -1.09275627513954 -0.0003661272 -0.0006498065 -0.0006558656
3 -1.05634660301335 -0.0002556764 -0.0004845685 -0.0004892042
4 -1.01576691073486 -0.0000822454 -0.0001924415 -0.0001944279
5 -1.00332750482595 -0.0000167048 -0.0000540326 -0.0000548009
7 -0.999827161999526 -0.0000005052 -0.0000037628 -0.0000039629
10 -0.99965045434706 -0.0000000012 -0.0000000450 -0.0000000517

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0.8 0.00437927657768 0.00258191257768 0.00209327887768 0.00209327887768
0.9 0.00342988078771 0.00185013578771 0.00137212228771 0.00137212228771
1.0 0.00282460127948 0.00142796447948 0.00096216757948 0.00096216757948
1.1 0.00248755597921 0.00124722687921 0.00079461297921 0.00079461297921
1.2 0.00212702101159 0.00102110831159 0.00058211311159 0.00058211311159
1.401 0.00186611921404 0.00097649851404 0.00056475341404 0.00056475341404
1.6 0.00167974009306 0.00094942009306 0.00056380739306 0.00056380739306
1.8 0.00154614389892 0.00093639549892 0.00057613369892 0.00057613369892
2.0 0.0013596547648 0.0008415142648 0.0005049591648 0.0005049591648
2.5 0.00114372486046 0.00077759766046 0.00049391836046 0.00049391836046
3.0 0.00095339698665 0.00069772058665 0.00046882848665 0.00046882848665
4.0 0.00063308926514 0.00055084386514 0.00044064776514 0.00044064776514
5.0 0.00047249517405 0.00045579037405 0.00041846257405 0.00041846257405
7.0 0.000372838000474 0.000372332800474 0.000369075200474 0.000369075200474
10.0 0.00034954565294 0.00034954445294 0.00034950065294 0.00034950065294

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@ -0,0 +1,15 @@
0.8 -0.0160702690753 -0.0178676318753 -0.0183562217753 -0.0183819666753 -0.0201
0.9 -0.0805196648652 -0.0820994086652 -0.0825773783652 -0.0825995266652 -0.0836
1.0 -0.122024944373 -0.123421579973 -0.123887333073 -0.123906599373 -0.1245
1.1 -0.147961989674 -0.149202317574 -0.149654887674 -0.149671803674 -0.1501
1.2 -0.163122524641 -0.164228436141 -0.164667387541 -0.164682373241 -0.1649
1.401 -0.172983426439 -0.173873045939 -0.174284747239 -0.174296836239 -0.1745
1.6 -0.16726980556 -0.16800012436 -0.16838569326 -0.16839582976 -0.1686
1.8 -0.153903401754 -0.154513148954 -0.154873366954 -0.154882107354 -0.1551
2.0 -0.137089890888 -0.137608030188 -0.137944541488 -0.137952261488 -0.1381
2.5 -0.0931058207925 -0.0934719467925 -0.0937555822925 -0.0937616346925 -0.0939
3.0 -0.0566961486663 -0.0569518238663 -0.0571806721663 -0.0571853011663 -0.0573
4.0 -0.0161164563878 -0.0161987005878 -0.0163088528878 -0.0163108325878 -0.0164
5.0 -0.00367705047889 -0.00369375407889 -0.00373103807889 -0.00373179967889 -0.0038
7.0 -0.000176707652466 -0.000177211652466 -0.000180425452466 -0.000180618852466 -0.0002
10.0 0.0 1.17338572556e-17 5.14415880536e-17 5.21926151103e-17 0.0

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@ -0,0 +1,15 @@
0.8 -1.01572072342 -1.01751808742 -1.01800672112 -1.01803247272 -1.0201
0.9 -1.08017011921 -1.08174986421 -1.08222787771 -1.08225003271 -1.0836
1.0 -1.12167539872 -1.12307203552 -1.12353783242 -1.12355710542 -1.1245
1.1 -1.14761244402 -1.14885277312 -1.14930538702 -1.14932230972 -1.1501
1.2 -1.16277297899 -1.16387889169 -1.16431788689 -1.16433287929 -1.1649
1.401 -1.17263388079 -1.17352350149 -1.17393524659 -1.17394734229 -1.1745
1.6 -1.16692025991 -1.16765057991 -1.16803619261 -1.16804633581 -1.1686
1.8 -1.1535538561 -1.1541636045 -1.1545238663 -1.1545326134 -1.1551
2.0 -1.13674034524 -1.13725848574 -1.13759504084 -1.13760276754 -1.1381
2.5 -1.09275627514 -1.09312240234 -1.09340608164 -1.09341214074 -1.0939
3.0 -1.05634660301 -1.05660227941 -1.05683117151 -1.05683580721 -1.0573
4.0 -1.01576691073 -1.01584915613 -1.01595935223 -1.01596133863 -1.0164
5.0 -1.00332750483 -1.00334420963 -1.00338153743 -1.00338230573 -1.0038
7.0 -0.999827162 -0.9998276672 -0.9998309248 -0.9998311249 -1.0002
10.0 -0.999650454347 -0.999650455547 -0.999650499347 -0.999650506047 -1.0

Binary file not shown.

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@ -0,0 +1,15 @@
0.8 -1.01572072342232
0.9 -1.08017011921229
1 -1.12167539872052
1.1 -1.14761244402079
1.2 -1.16277297898841
1.401 -1.17263388078596
1.6 -1.16692025990694
1.8 -1.15355385610108
2 -1.1367403452352
2.5 -1.09275627513954
3 -1.05634660301335
4 -1.01576691073486
5 -1.00332750482595
7 -0.999827161999526
10 -0.99965045434706

16
new/H2_avtz/data/exact-H2 Normal file
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@ -0,0 +1,16 @@
# r exact
0.8 -1.0201
0.9 -1.0836
1 -1.1245
1.1 -1.1501
1.2 -1.1649
1.401 -1.1745
1.6 -1.1686
1.8 -1.1551
2 -1.1381
2.5 -1.0939
3 -1.0573
4 -1.0164
5 -1.0038
7 -1.0002
10 -1.0000

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@ -0,0 +1,94 @@
#!/usr/bin/env python2
import sys
atom = sys.argv[1]
number = sys.argv[2]
basis = sys.argv[3]
method = sys.argv[4]
filemethod = "data_"+method+"_"+basis
fileexact = "exact-"+atom+number
distance = []
wf = []
pbe = []
pbeot = []
pbeotnospin = []
ndistances=0
with open(filemethod, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
distance.append(float(a[0]))
wf.append(float(a[1]))
pbe.append(float(a[2]))
pbeot.append(float(a[3]))
pbeotnospin.append(float(a[4]))
ndistances += 1
print ndistances
wf_at = wf[ndistances-1]
pbe_at = pbe[ndistances-1]
pbeot_at = pbeot[ndistances-1]
pbeot_atnospin = pbeotnospin[ndistances-1]
ndistancesexact=0
exact = []
with open(fileexact, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
exact.append(float(a[1]))
ndistancesexact += 1
exact_at = exact[ndistances-1]
print ndistancesexact
wf_pbe = []
wf_pbeot = []
wf_pbeotnospin = []
relat_wf = []
relat_pbe = []
relat_pbeot = []
relat_pbeotnospin = []
relat_exact = []
error_wf = []
error_pbe = []
error_pbeot = []
error_pbeotnospin = []
for i in range(ndistances):
wf_pbe.append(wf[i] + pbe[i])
wf_pbeot.append(wf[i] + pbeot[i])
wf_pbeotnospin.append(wf[i] + pbeotnospin[i])
relat_wf.append(wf[i] - wf_at)
relat_pbe.append(wf_pbe[i] - wf_at- pbe_at)
relat_pbeot.append(wf_pbeot[i] - wf_at - pbeot_at)
relat_pbeotnospin.append(wf_pbeotnospin[i] - wf_at - pbeot_atnospin)
relat_exact.append(exact[i] - exact_at)
error_wf.append(wf[i] - exact[i])
error_pbe.append(wf_pbe[i] - exact[i])
error_pbeot.append(wf_pbeot[i] - exact[i])
error_pbeotnospin.append(wf_pbeotnospin[i] - exact[i])
file_data=filemethod+"E_tot"
file_output = open(file_data,"w+")
file_data_relat=filemethod+"E_relat"
file_data_error=filemethod+"E_error"
file_output_relat = open(file_data_relat,"w+")
file_output_error = open(file_data_error,"w+")
for i in range(ndistances):
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) + '\n')

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#!/usr/bin/env python2
import sys
import os
atom = sys.argv[1]
number = sys.argv[2]
basis = sys.argv[3]
method = sys.argv[4]
is_f12=os.path.exists("data_f12")
if is_f12 :
f12=[]
with open("data_f12", "r") as fp:
ndistances=0
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
f12.append(float(a[3]))
ndistances += 1
if is_f12 :
f12_at = f12[ndistances-1]
filemethod = "data_"+method+"_full_"+basis
fileexact = "exact-"+atom+number
distance = []
wf = []
pbe = []
pbeot = []
pbeotnospin = []
ndistances=0
with open(filemethod, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
distance.append(float(a[0]))
wf.append(float(a[1]))
pbe.append(float(a[2]))
pbeot.append(float(a[3]))
pbeotnospin.append(float(a[4]))
ndistances += 1
print ndistances
wf_at = wf[ndistances-1]
pbe_at = pbe[ndistances-1]
pbeot_at = pbeot[ndistances-1]
pbeot_atnospin = pbeotnospin[ndistances-1]
ndistancesexact=0
exact = []
with open(fileexact, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
exact.append(float(a[1]))
ndistancesexact += 1
exact_at = exact[ndistances-1]
print ndistancesexact
wf_pbe = []
wf_pbeot = []
wf_pbeotnospin = []
relat_wf = []
relat_f12 = []
relat_pbe = []
relat_pbeot = []
relat_pbeotnospin = []
relat_exact = []
error_wf = []
error_f12 = []
error_pbe = []
error_pbeot = []
error_pbeotnospin = []
for i in range(ndistances):
wf_pbe.append(wf[i] + pbe[i])
wf_pbeot.append(wf[i] + pbeot[i])
wf_pbeotnospin.append(wf[i] + pbeotnospin[i])
relat_wf.append(wf[i] - wf_at)
relat_pbe.append(wf_pbe[i] - wf_at- pbe_at)
relat_pbeot.append(wf_pbeot[i] - wf_at - pbeot_at)
relat_pbeotnospin.append(wf_pbeotnospin[i] - wf_at - pbeot_atnospin)
relat_exact.append(exact[i] - exact_at)
error_wf.append(wf[i] - exact[i])
error_pbe.append(wf_pbe[i] - exact[i])
error_pbeot.append(wf_pbeot[i] - exact[i])
error_pbeotnospin.append(wf_pbeotnospin[i] - exact[i])
if is_f12 :
relat_f12.append(f12[i] - f12_at)
error_f12.append(f12[i] - exact[i])
file_data=filemethod+"E_tot"
file_output = open(file_data,"w+")
file_data_relat=filemethod+"E_relat"
file_data_error=filemethod+"E_error"
file_output_relat = open(file_data_relat,"w+")
file_output_error = open(file_data_error,"w+")
for i in range(ndistances):
if is_f12 :
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(f12[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' ' + str(relat_f12[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) +' ' + str(error_f12[i]) + '\n')
else:
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) + '\n')

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@ -0,0 +1,946 @@
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/EMC { mark /EMC pdfmark } bind def
/cairo_store_point { /cairo_point_y exch def /cairo_point_x exch def } def
/Tj { show currentpoint cairo_store_point } bind def
/TJ {
{
dup
type /stringtype eq
{ show } { -0.001 mul 0 cairo_font_matrix dtransform rmoveto } ifelse
} forall
currentpoint cairo_store_point
} bind def
/cairo_selectfont { cairo_font_matrix aload pop pop pop 0 0 6 array astore
cairo_font exch selectfont cairo_point_x cairo_point_y moveto } bind def
/Tf { pop /cairo_font exch def /cairo_font_matrix where
{ pop cairo_selectfont } if } bind def
/Td { matrix translate cairo_font_matrix matrix concatmatrix dup
/cairo_font_matrix exch def dup 4 get exch 5 get cairo_store_point
/cairo_font where { pop cairo_selectfont } if } bind def
/Tm { 2 copy 8 2 roll 6 array astore /cairo_font_matrix exch def
cairo_store_point /cairo_font where { pop cairo_selectfont } if } bind def
/g { setgray } bind def
/rg { setrgbcolor } bind def
/d1 { setcachedevice } bind def
%%EndProlog
%%BeginSetup
%%BeginResource: font DejaVuSans
11 dict begin
/FontType 42 def
/FontName /DejaVuSans def
/PaintType 0 def
/FontMatrix [ 1 0 0 1 0 0 ] def
/FontBBox [ 0 0 0 0 ] def
/Encoding 256 array def
0 1 255 { Encoding exch /.notdef put } for
Encoding 32 /space put
Encoding 43 /plus put
Encoding 46 /period put
Encoding 47 /slash put
Encoding 48 /zero put
Encoding 49 /one put
Encoding 50 /two put
Encoding 51 /three put
Encoding 52 /four put
Encoding 53 /five put
Encoding 54 /six put
Encoding 55 /seven put
Encoding 66 /B put
Encoding 67 /C put
Encoding 69 /E put
Encoding 70 /F put
Encoding 73 /I put
Encoding 80 /P put
Encoding 97 /a put
Encoding 111 /o put
Encoding 116 /t put
Encoding 118 /v put
Encoding 122 /z put
/CharStrings 24 dict dup begin
/.notdef 0 def
/space 1 def
/zero 2 def
/period 3 def
/five 4 def
/one 5 def
/two 6 def
/three 7 def
/four 8 def
/six 9 def
/seven 10 def
/F 11 def
/C 12 def
/I 13 def
/slash 14 def
/a 15 def
/v 16 def
/t 17 def
/z 18 def
/plus 19 def
/P 20 def
/B 21 def
/E 22 def
/o 23 def
end readonly def
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2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b002b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b
2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b2b1d00>
] def
/f-0-0 currentdict end definefont pop
%%EndResource
%%BeginResource: font DejaVuSans
11 dict begin
/FontType 42 def
/FontName /DejaVuSans def
/PaintType 0 def
/FontMatrix [ 1 0 0 1 0 0 ] def
/FontBBox [ 0 0 0 0 ] def
/Encoding 256 array def
0 1 255 { Encoding exch /.notdef put } for
Encoding 1 /uni03B6 put
/CharStrings 2 dict dup begin
/.notdef 0 def
/uni03B6 1 def
end readonly def
/sfnts [
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113.398 10.75 m 113.398 14.449 l S Q
BT
8 0 0 8 109.558594 5.800781 Tm
/f-0-0 1 Tf
( 1)Tj
ET
q 1 0 0 -1 0 216 cm
159.75 197.898 m 159.75 194.199 l S Q
q 1 0 0 -1 0 216 cm
159.75 10.75 m 159.75 14.449 l S Q
BT
8 0 0 8 152.09375 5.800781 Tm
/f-0-0 1 Tf
( 1.2)Tj
ET
q 1 0 0 -1 0 216 cm
206.102 197.898 m 206.102 194.199 l S Q
q 1 0 0 -1 0 216 cm
206.102 10.75 m 206.102 14.449 l S Q
BT
8 0 0 8 198.441406 5.800781 Tm
/f-0-0 1 Tf
( 1.4)Tj
ET
q 1 0 0 -1 0 216 cm
252.449 197.898 m 252.449 194.199 l S Q
q 1 0 0 -1 0 216 cm
252.449 10.75 m 252.449 14.449 l S Q
BT
8 0 0 8 244.792969 5.800781 Tm
/f-0-0 1 Tf
( 1.6)Tj
ET
q 1 0 0 -1 0 216 cm
298.801 197.898 m 298.801 194.199 l S Q
q 1 0 0 -1 0 216 cm
298.801 10.75 m 298.801 14.449 l S Q
BT
8 0 0 8 291.140625 5.800781 Tm
/f-0-0 1 Tf
( 1.8)Tj
ET
q 1 0 0 -1 0 216 cm
345.148 197.898 m 345.148 194.199 l S Q
q 1 0 0 -1 0 216 cm
345.148 10.75 m 345.148 14.449 l S Q
BT
8 0 0 8 341.308594 5.800781 Tm
/f-0-0 1 Tf
( 2)Tj
ET
q 1 0 0 -1 0 216 cm
43.852 10.75 301.297 187.148 re S Q
0.901961 0.623529 0 rg
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BT
8 0 0 8 273.511719 51.347656 Tm
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(FCI/avtz)Tj
ET
0.901961 0.623529 0 rg
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158.25 96.949 3 3 re S Q
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0 0.619608 0.45098 rg
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BT
8 0 0 8 218.773438 42.023438 Tm
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(FCI+PBEot0)Tj
/f-0-1 1 Tf
<01>Tj
/f-0-0 1 Tf
(-full/avtz)Tj
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0 0.619608 0.45098 rg
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BT
8 0 0 8 233.992188 32.722656 Tm
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(FCI+PBEot0)Tj
/f-0-1 1 Tf
<01>Tj
/f-0-0 1 Tf
(/avtz)Tj
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0.337255 0.705882 0.913725 rg
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321.398 181.75 m 324.398 178.75 l S Q
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BT
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Q Q
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%%EOF

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@ -0,0 +1,16 @@
# FCI PBE PBEot
0.8 -1.01572072342232 -0.0027514871 -0.0035434055 -0.0035532869
0.9 -1.08017011921229 -0.0024707675 -0.0032604511 -0.0032699084
1 -1.12167539872052 -0.0022291306 -0.0030128819 -0.0030219488
1.1 -1.14761244402079 -0.0020179660 -0.0027930306 -0.0028017339
1.2 -1.16277297898841 -0.0018322362 -0.0025966399 -0.0026050064
1.401 -1.17263388078596 -0.0015238011 -0.0022628398 -0.0022706299
1.6 -1.16692025990694 -0.0012863136 -0.0019962490 -0.0020035920
1.8 -1.15355385610108 -0.0010971719 -0.0017743619 -0.0017812600
2 -1.1367403452352 -0.0009450133 -0.0015877050 -0.0015941183
2.5 -1.09275627513954 -0.0006674350 -0.0012191050 -0.0012243517
3 -1.05634660301335 -0.0004519956 -0.0008975904 -0.0009017477
4 -1.01576691073486 -0.0001369097 -0.0003480540 -0.0003503654
5 -1.00332750482595 -0.0000272412 -0.0000963207 -0.0000974825
7 -0.999827161999526 -0.0000007404 -0.0000056698 -0.0000058980
10 -0.99965045434706 -0.0000000018 -0.0000000497 -0.0000000567

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@ -0,0 +1,15 @@
0.8 0.00437927657767 0.00162778947767 0.00083587107767 0.00083587107767
0.9 0.00342988078769 0.00095911328769 0.00016942968769 0.00016942968769
1.0 0.00282460127947 0.00059547067947 -0.00018828062053 -0.00018828062053
1.1 0.0024875559792 0.0004695899792 -0.0003054746208 -0.0003054746208
1.2 0.00212702101161 0.00029478481161 -0.00046961888839 -0.00046961888839
1.401 0.00186611921404 0.00034231811404 -0.00039672058596 -0.00039672058596
1.6 0.00167974009305 0.00039342649305 -0.00031650890695 -0.00031650890695
1.8 0.0015461438989 0.0004489719989 -0.0002282180011 -0.0002282180011
2.0 0.0013596547648 0.0004146414648 -0.0002280502352 -0.0002280502352
2.5 0.00114372486046 0.00047628986046 -7.53801395401e-05 -7.53801395401e-05
3.0 0.00095339698665 0.00050140138665 5.58065866501e-05 5.58065866501e-05
4.0 0.00063308926513 0.00049617956513 0.00028503526513 0.00028503526513
5.0 0.00047249517404 0.00044525397404 0.00037617447404 0.00037617447404
7.0 0.000372838000474 0.000372097600474 0.000367168200474 0.000367168200474
10.0 0.000349545652943 0.000349543852943 0.000349495952943 0.000349495952943

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@ -0,0 +1,15 @@
0.8 -0.0160702690753 -0.0188217543753 -0.0196136248753 -0.0196234992753 -0.0201
0.9 -0.0805196648653 -0.0829904305653 -0.0837800662653 -0.0837895165653 -0.0836
1.0 -0.122024944373 -0.124254073173 -0.125037776573 -0.125046836473 -0.1245
1.1 -0.147961989674 -0.149979953874 -0.150754970574 -0.150763666874 -0.1501
1.2 -0.163122524641 -0.164954759041 -0.165719114841 -0.165727474341 -0.1649
1.401 -0.172983426439 -0.174507225739 -0.175246216539 -0.175253999639 -0.1745
1.6 -0.16726980556 -0.16855611736 -0.16926600486 -0.16927334086 -0.1686
1.8 -0.153903401754 -0.155000571854 -0.155677713954 -0.155684605054 -0.1551
2.0 -0.137089890888 -0.138034902388 -0.138677546188 -0.138683952488 -0.1381
2.5 -0.0931058207925 -0.0937732539925 -0.0943248760925 -0.0943301157925 -0.0939
3.0 -0.0566961486663 -0.0571481424663 -0.0575936893663 -0.0575978396663 -0.0573
4.0 -0.0161164563878 -0.0162533642878 -0.0164644606878 -0.0164667650878 -0.0164
5.0 -0.0036770504789 -0.0037042898789 -0.0037733214789 -0.0037744762789 -0.0038
7.0 -0.000176707652469 -0.000177446252469 -0.000182327752469 -0.000182548952469 -0.0002
10.0 0.0 -3.79103653478e-17 -4.3712458732e-18 -2.84423340474e-17 0.0

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@ -0,0 +1,15 @@
0.8 -1.01572072342 -1.01847221052 -1.01926412892 -1.01927401032 -1.0201
0.9 -1.08017011921 -1.08264088671 -1.08343057031 -1.08344002761 -1.0836
1.0 -1.12167539872 -1.12390452932 -1.12468828062 -1.12469734752 -1.1245
1.1 -1.14761244402 -1.14963041002 -1.15040547462 -1.15041417792 -1.1501
1.2 -1.16277297899 -1.16460521519 -1.16536961889 -1.16537798539 -1.1649
1.401 -1.17263388079 -1.17415768189 -1.17489672059 -1.17490451069 -1.1745
1.6 -1.16692025991 -1.16820657351 -1.16891650891 -1.16892385191 -1.1686
1.8 -1.1535538561 -1.154651028 -1.155328218 -1.1553351161 -1.1551
2.0 -1.13674034524 -1.13768535854 -1.13832805024 -1.13833446354 -1.1381
2.5 -1.09275627514 -1.09342371014 -1.09397538014 -1.09398062684 -1.0939
3.0 -1.05634660301 -1.05679859861 -1.05724419341 -1.05724835071 -1.0573
4.0 -1.01576691073 -1.01590382043 -1.01611496473 -1.01611727613 -1.0164
5.0 -1.00332750483 -1.00335474603 -1.00342382553 -1.00342498733 -1.0038
7.0 -0.999827162 -0.9998279024 -0.9998328318 -0.99983306 -1.0002
10.0 -0.999650454347 -0.999650456147 -0.999650504047 -0.999650511047 -1.0

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@ -0,0 +1,16 @@
# FCI PBE PBEot
0.8 -1.01572072342232 -0.0017973640 -0.0022859977 -0.0023117493
0.9 -1.08017011921229 -0.0015797450 -0.0020577585 -0.0020799135
1 -1.12167539872052 -0.0013966368 -0.0018624337 -0.0018817067
1.1 -1.14761244402079 -0.0012403291 -0.0016929430 -0.0017098657
1.2 -1.16277297898841 -0.0011059127 -0.0015449079 -0.0015599003
1.401 -1.17263388078596 -0.0008896207 -0.0013013658 -0.0013134615
1.6 -1.16692025990694 -0.0007303200 -0.0011159327 -0.0011260759
1.8 -1.15355385610108 -0.0006097484 -0.0009700102 -0.0009787573
2 -1.1367403452352 -0.0005181405 -0.0008546956 -0.0008624223
2.5 -1.09275627513954 -0.0003661272 -0.0006498065 -0.0006558656
3 -1.05634660301335 -0.0002556764 -0.0004845685 -0.0004892042
4 -1.01576691073486 -0.0000822454 -0.0001924415 -0.0001944279
5 -1.00332750482595 -0.0000167048 -0.0000540326 -0.0000548009
7 -0.999827161999526 -0.0000005052 -0.0000037628 -0.0000039629
10 -0.99965045434706 -0.0000000012 -0.0000000450 -0.0000000517

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@ -0,0 +1,15 @@
0.8 0.00437927657768 0.00258191257768 0.00209327887768 0.00209327887768
0.9 0.00342988078771 0.00185013578771 0.00137212228771 0.00137212228771
1.0 0.00282460127948 0.00142796447948 0.00096216757948 0.00096216757948
1.1 0.00248755597921 0.00124722687921 0.00079461297921 0.00079461297921
1.2 0.00212702101159 0.00102110831159 0.00058211311159 0.00058211311159
1.401 0.00186611921404 0.00097649851404 0.00056475341404 0.00056475341404
1.6 0.00167974009306 0.00094942009306 0.00056380739306 0.00056380739306
1.8 0.00154614389892 0.00093639549892 0.00057613369892 0.00057613369892
2.0 0.0013596547648 0.0008415142648 0.0005049591648 0.0005049591648
2.5 0.00114372486046 0.00077759766046 0.00049391836046 0.00049391836046
3.0 0.00095339698665 0.00069772058665 0.00046882848665 0.00046882848665
4.0 0.00063308926514 0.00055084386514 0.00044064776514 0.00044064776514
5.0 0.00047249517405 0.00045579037405 0.00041846257405 0.00041846257405
7.0 0.000372838000474 0.000372332800474 0.000369075200474 0.000369075200474
10.0 0.00034954565294 0.00034954445294 0.00034950065294 0.00034950065294

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@ -0,0 +1,15 @@
0.8 0.00437927657768 0.00258191257768 0.00209327887768 0.00209327887768
0.9 0.00342988078771 0.00185013578771 0.00137212228771 0.00137212228771
1.0 0.00282460127948 0.00142796447948 0.00096216757948 0.00096216757948
1.1 0.00248755597921 0.00124722687921 0.00079461297921 0.00079461297921
1.2 0.00212702101159 0.00102110831159 0.00058211311159 0.00058211311159
1.401 0.00186611921404 0.00097649851404 0.00056475341404 0.00056475341404
1.6 0.00167974009306 0.00094942009306 0.00056380739306 0.00056380739306
1.8 0.00154614389892 0.00093639549892 0.00057613369892 0.00057613369892
2.0 0.0013596547648 0.0008415142648 0.0005049591648 0.0005049591648
2.5 0.00114372486046 0.00077759766046 0.00049391836046 0.00049391836046
3.0 0.00095339698665 0.00069772058665 0.00046882848665 0.00046882848665
4.0 0.00063308926514 0.00055084386514 0.00044064776514 0.00044064776514
5.0 0.00047249517405 0.00045579037405 0.00041846257405 0.00041846257405
7.0 0.000372838000474 0.000372332800474 0.000369075200474 0.000369075200474
10.0 0.00034954565294 0.00034954445294 0.00034950065294 0.00034950065294

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@ -0,0 +1,15 @@
0.8 -0.0160702690753 -0.0178676318753 -0.0183562217753 -0.0183819666753 -0.0201
0.9 -0.0805196648652 -0.0820994086652 -0.0825773783652 -0.0825995266652 -0.0836
1.0 -0.122024944373 -0.123421579973 -0.123887333073 -0.123906599373 -0.1245
1.1 -0.147961989674 -0.149202317574 -0.149654887674 -0.149671803674 -0.1501
1.2 -0.163122524641 -0.164228436141 -0.164667387541 -0.164682373241 -0.1649
1.401 -0.172983426439 -0.173873045939 -0.174284747239 -0.174296836239 -0.1745
1.6 -0.16726980556 -0.16800012436 -0.16838569326 -0.16839582976 -0.1686
1.8 -0.153903401754 -0.154513148954 -0.154873366954 -0.154882107354 -0.1551
2.0 -0.137089890888 -0.137608030188 -0.137944541488 -0.137952261488 -0.1381
2.5 -0.0931058207925 -0.0934719467925 -0.0937555822925 -0.0937616346925 -0.0939
3.0 -0.0566961486663 -0.0569518238663 -0.0571806721663 -0.0571853011663 -0.0573
4.0 -0.0161164563878 -0.0161987005878 -0.0163088528878 -0.0163108325878 -0.0164
5.0 -0.00367705047889 -0.00369375407889 -0.00373103807889 -0.00373179967889 -0.0038
7.0 -0.000176707652466 -0.000177211652466 -0.000180425452466 -0.000180618852466 -0.0002
10.0 0.0 1.17338572556e-17 5.14415880536e-17 5.21926151103e-17 0.0

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@ -0,0 +1,15 @@
0.8 -0.0160702690753 -0.0178676318753 -0.0183562217753 -0.0183819666753 -0.0201
0.9 -0.0805196648652 -0.0820994086652 -0.0825773783652 -0.0825995266652 -0.0836
1.0 -0.122024944373 -0.123421579973 -0.123887333073 -0.123906599373 -0.1245
1.1 -0.147961989674 -0.149202317574 -0.149654887674 -0.149671803674 -0.1501
1.2 -0.163122524641 -0.164228436141 -0.164667387541 -0.164682373241 -0.1649
1.401 -0.172983426439 -0.173873045939 -0.174284747239 -0.174296836239 -0.1745
1.6 -0.16726980556 -0.16800012436 -0.16838569326 -0.16839582976 -0.1686
1.8 -0.153903401754 -0.154513148954 -0.154873366954 -0.154882107354 -0.1551
2.0 -0.137089890888 -0.137608030188 -0.137944541488 -0.137952261488 -0.1381
2.5 -0.0931058207925 -0.0934719467925 -0.0937555822925 -0.0937616346925 -0.0939
3.0 -0.0566961486663 -0.0569518238663 -0.0571806721663 -0.0571853011663 -0.0573
4.0 -0.0161164563878 -0.0161987005878 -0.0163088528878 -0.0163108325878 -0.0164
5.0 -0.00367705047889 -0.00369375407889 -0.00373103807889 -0.00373179967889 -0.0038
7.0 -0.000176707652466 -0.000177211652466 -0.000180425452466 -0.000180618852466 -0.0002
10.0 0.0 1.17338572556e-17 5.14415880536e-17 5.21926151103e-17 0.0

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@ -0,0 +1,15 @@
0.8 -1.01572072342 -1.01751808742 -1.01800672112 -1.01803247272 -1.0201
0.9 -1.08017011921 -1.08174986421 -1.08222787771 -1.08225003271 -1.0836
1.0 -1.12167539872 -1.12307203552 -1.12353783242 -1.12355710542 -1.1245
1.1 -1.14761244402 -1.14885277312 -1.14930538702 -1.14932230972 -1.1501
1.2 -1.16277297899 -1.16387889169 -1.16431788689 -1.16433287929 -1.1649
1.401 -1.17263388079 -1.17352350149 -1.17393524659 -1.17394734229 -1.1745
1.6 -1.16692025991 -1.16765057991 -1.16803619261 -1.16804633581 -1.1686
1.8 -1.1535538561 -1.1541636045 -1.1545238663 -1.1545326134 -1.1551
2.0 -1.13674034524 -1.13725848574 -1.13759504084 -1.13760276754 -1.1381
2.5 -1.09275627514 -1.09312240234 -1.09340608164 -1.09341214074 -1.0939
3.0 -1.05634660301 -1.05660227941 -1.05683117151 -1.05683580721 -1.0573
4.0 -1.01576691073 -1.01584915613 -1.01595935223 -1.01596133863 -1.0164
5.0 -1.00332750483 -1.00334420963 -1.00338153743 -1.00338230573 -1.0038
7.0 -0.999827162 -0.9998276672 -0.9998309248 -0.9998311249 -1.0002
10.0 -0.999650454347 -0.999650455547 -0.999650499347 -0.999650506047 -1.0

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@ -0,0 +1,15 @@
0.8 -1.01572072342 -1.01751808742 -1.01800672112 -1.01803247272 -1.0201
0.9 -1.08017011921 -1.08174986421 -1.08222787771 -1.08225003271 -1.0836
1.0 -1.12167539872 -1.12307203552 -1.12353783242 -1.12355710542 -1.1245
1.1 -1.14761244402 -1.14885277312 -1.14930538702 -1.14932230972 -1.1501
1.2 -1.16277297899 -1.16387889169 -1.16431788689 -1.16433287929 -1.1649
1.401 -1.17263388079 -1.17352350149 -1.17393524659 -1.17394734229 -1.1745
1.6 -1.16692025991 -1.16765057991 -1.16803619261 -1.16804633581 -1.1686
1.8 -1.1535538561 -1.1541636045 -1.1545238663 -1.1545326134 -1.1551
2.0 -1.13674034524 -1.13725848574 -1.13759504084 -1.13760276754 -1.1381
2.5 -1.09275627514 -1.09312240234 -1.09340608164 -1.09341214074 -1.0939
3.0 -1.05634660301 -1.05660227941 -1.05683117151 -1.05683580721 -1.0573
4.0 -1.01576691073 -1.01584915613 -1.01595935223 -1.01596133863 -1.0164
5.0 -1.00332750483 -1.00334420963 -1.00338153743 -1.00338230573 -1.0038
7.0 -0.999827162 -0.9998276672 -0.9998309248 -0.9998311249 -1.0002
10.0 -0.999650454347 -0.999650455547 -0.999650499347 -0.999650506047 -1.0

Binary file not shown.

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@ -0,0 +1,15 @@
0.8 -1.01572072342232
0.9 -1.08017011921229
1 -1.12167539872052
1.1 -1.14761244402079
1.2 -1.16277297898841
1.401 -1.17263388078596
1.6 -1.16692025990694
1.8 -1.15355385610108
2 -1.1367403452352
2.5 -1.09275627513954
3 -1.05634660301335
4 -1.01576691073486
5 -1.00332750482595
7 -0.999827161999526
10 -0.99965045434706

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@ -0,0 +1,16 @@
# r exact
0.8 -1.0201
0.9 -1.0836
1 -1.1245
1.1 -1.1501
1.2 -1.1649
1.401 -1.1745
1.6 -1.1686
1.8 -1.1551
2 -1.1381
2.5 -1.0939
3 -1.0573
4 -1.0164
5 -1.0038
7 -1.0002
10 -1.0000

64
new/H2_avtz/plots/plot.sh Executable file
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@ -0,0 +1,64 @@
WF=FCI
BASIS=avtz
METHOD=DFT_full
TYPE=relat
FILE=data_${METHOD}_${BASIS}E_${TYPE}
OUT=${METHOD}_${BASIS}E_${TYPE}
#lt -1
cat << EOF > pouet.gp
set xrange [:7]
set yrange [-0.178:0]
set key bottom
plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "${WF}/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "${WF}+PBEot0{/Symbol z}/$BASIS"
replot '${FILE}' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 0.5 title "Exact"
set terminal eps enhanced linewidth 3
set output "${OUT}.eps"
replot
EOF
gnuplot pouet.gp
if [[ $METHOD == "DFT" ]]; then
OUT=${METHOD}_${BASIS}E_${TYPE}_zoom
cat << EOF > pouet.gp
set xrange [.7:2.]
set yrange [-0.178:-0.15]
set key bottom left
plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "${WF}/$BASIS"
replot '${FILE}' using 1:3 smooth cspline notitle lt 8 , "" using 1:3 w p lt 8 ps 0.5 title "${WF}+PBE/$BASIS"
replot '${FILE}' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 0.5 title "${WF}+PBEot/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "${WF}+PBEot0{/Symbol z}/$BASIS"
replot '${FILE}' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 0.5 title "Exact"
set terminal eps enhanced linewidth 3
set output "${OUT}.eps"
replot
EOF
fi
exit 0
gnuplot pouet.gp
TYPE=error
FILE=data_${METHOD}_${BASIS}E_${TYPE}
OUT=${METHOD}_${BASIS}E_${TYPE}
#lt -1
cat << EOF > pouet.gp
set xrange [:7]
plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 0.5 title "${WF}/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "${WF}+PBEot{/Symbol z}/$BASIS"
replot '${FILE}' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 0.5 title "${WF}+PBEot/$BASIS"
replot '${FILE}' using 1:3 smooth cspline notitle lt 8 , "" using 1:3 w p lt 8 ps 0.5 title "${WF}+PBE/$BASIS"
set terminal eps enhanced linewidth 3
set output "${OUT}.eps"
replot
EOF
gnuplot pouet.gp

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@ -0,0 +1,11 @@
set xrange [.7:2.]
set yrange [-0.178:-0.15]
set key bottom
plot 'data_DFT_full_avtzE_relat' using 1:2 smooth cspline notitle lt 4 , "" using 1:2 w p lt 4 ps 0.5 title "FCI/avtz"
replot 'data_DFT_full_avtzE_relat' using 1:5 smooth cspline notitle lt 2 , "" using 1:5 w p lt 2 ps 0.5 title "FCI+PBEot0{/Symbol z}-full/avtz"
replot 'data_DFT_avtzE_relat' using 1:5 smooth cspline notitle lt 3 , "" using 1:5 w p lt 3 ps 0.5 title "FCI+PBEot0{/Symbol z}/avtz"
replot 'data_DFT_full_avtzE_relat' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 0.5 title "Exact"
set terminal eps enhanced linewidth 3
set output "DFT_full_avtzE_relat.eps"
replot

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@ -0,0 +1,94 @@
#!/usr/bin/env python2
import sys
atom = sys.argv[1]
number = sys.argv[2]
basis = sys.argv[3]
method = sys.argv[4]
filemethod = "data_"+method+"_"+basis
fileexact = "exact-"+atom+number
distance = []
wf = []
pbe = []
pbeot = []
pbeotnospin = []
ndistances=0
with open(filemethod, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
distance.append(float(a[0]))
wf.append(float(a[1]))
pbe.append(float(a[2]))
pbeot.append(float(a[3]))
pbeotnospin.append(float(a[4]))
ndistances += 1
print ndistances
wf_at = wf[ndistances-1]
pbe_at = pbe[ndistances-1]
pbeot_at = pbeot[ndistances-1]
pbeot_atnospin = pbeotnospin[ndistances-1]
ndistancesexact=0
exact = []
with open(fileexact, "r") as fp:
for line in fp:
a=line.split()
if(len(a)==0):
pass
elif("#" in a[0]):
pass
else:
exact.append(float(a[1]))
ndistancesexact += 1
exact_at = exact[ndistances-1]
print ndistancesexact
wf_pbe = []
wf_pbeot = []
wf_pbeotnospin = []
relat_wf = []
relat_pbe = []
relat_pbeot = []
relat_pbeotnospin = []
relat_exact = []
error_wf = []
error_pbe = []
error_pbeot = []
error_pbeotnospin = []
for i in range(ndistances):
wf_pbe.append(wf[i] + pbe[i])
wf_pbeot.append(wf[i] + pbeot[i])
wf_pbeotnospin.append(wf[i] + pbeotnospin[i])
relat_wf.append(wf[i] - wf_at)
relat_pbe.append(wf_pbe[i] - wf_at- pbe_at)
relat_pbeot.append(wf_pbeot[i] - wf_at - pbeot_at)
relat_pbeotnospin.append(wf_pbeotnospin[i] - wf_at - pbeot_atnospin)
relat_exact.append(exact[i] - exact_at)
error_wf.append(wf[i] - exact[i])
error_pbe.append(wf_pbe[i] - exact[i])
error_pbeot.append(wf_pbeot[i] - exact[i])
error_pbeotnospin.append(wf_pbeotnospin[i] - exact[i])
file_data=filemethod+"E_tot"
file_output = open(file_data,"w+")
file_data_relat=filemethod+"E_relat"
file_data_error=filemethod+"E_error"
file_output_relat = open(file_data_relat,"w+")
file_output_error = open(file_data_error,"w+")
for i in range(ndistances):
file_output.write(str(distance[i]) +' '+str(wf[i]) + ' ' + str(wf_pbe[i]) + ' ' + str(wf_pbeot[i]) + ' ' + str(wf_pbeotnospin[i]) + ' ' + str(exact[i]) +'\n')
file_output_relat.write(str(distance[i]) +' '+str(relat_wf[i]) + ' ' + str(relat_pbe[i]) + ' ' + str(relat_pbeot[i]) + ' ' + str(relat_pbeotnospin[i]) + ' '+ str(relat_exact[i]) +'\n')
file_output_error.write(str(distance[i]) +' '+str(error_wf[i]) + ' ' + str(error_pbe[i]) + ' ' + str(error_pbeot[i]) +' ' + str(error_pbeot[i]) + '\n')