size consistency

This commit is contained in:
Julien Toulouse 2020-01-20 18:24:55 +01:00
parent 3edbfe838c
commit 705f58d4c9
9 changed files with 646 additions and 2888 deletions

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@ -70,7 +70,8 @@
\newcommand{\efuncbasisfci}[0]{\bar{E}^\Bas[\denfci]}
\newcommand{\efuncbasis}[0]{\bar{E}^\Bas[\den]}
\newcommand{\efuncden}[1]{\bar{E}^\Bas[#1]}
\newcommand{\efuncdenpbe}[1]{\bar{E}_{\text{X}}^{A+B}[#1]}
\newcommand{\efuncdenpbe}[1]{\bar{E}_{\text{}}^\Bas[#1]}
\newcommand{\efuncdenpbeAB}[1]{\bar{E}_{\text{A}+\text{B}}^\Bas[#1]}
\newcommand{\ecompmodel}[0]{\bar{E}^\Bas[\denmodel]}
\newcommand{\ecmubis}[0]{\bar{E}_{\text{c,md}}^{\text{sr}}[\denr;\,\mu]}
\newcommand{\ecmubisldapbe}[0]{\bar{E}_{\text{c,md}\,\text{PBE}}^{\text{sr}}[\denr;\,\mu]}
@ -85,7 +86,7 @@
\newcommand{\emulda}[0]{\bar{\varepsilon}^{\text{sr},\text{unif}}_{\text{c,md}}\left(\denr;\mu({\bf r};\wf{}{\Bas})\right)}
\newcommand{\emuldamodel}[0]{\bar{\varepsilon}^{\text{sr},\text{unif}}_{\text{c,md}}\left(\denmodelr;\mu({\bf r};\wf{}{\Bas})\right)}
\newcommand{\emuldaval}[0]{\bar{\varepsilon}^{\text{sr},\text{unif}}_{\text{c,md}}\left(\denval ({\bf r});\murval;\wf{}{\Bas})\right)}
\newcommand{\ecmd}[0]{\varepsilon^{\text{c,md}}_{\text{PBE}}}
\newcommand{\ecmd}[0]{\bar{\varepsilon}_{\text{c,md}}^{\text{sr},\text{PBE}}}
\newcommand{\psibasis}[0]{\Psi^{\basis}}
\newcommand{\BasFC}{\mathcal{A}}
@ -117,12 +118,12 @@
%%%%%% arguments
\newcommand{\argepbe}[0]{\den,\zeta,s}
\newcommand{\argebasis}[0]{\den,\zeta,\ntwo,\mu_{\Psi^{A+B}}}
\newcommand{\argebasis}[0]{\den,\zeta,\ntwo,\mu}
\newcommand{\argecmd}[0]{\den,\zeta,s,\ntwo,\mu}
\newcommand{\argepbeueg}[0]{\den,\zeta,s,\ntwo^{\text{UEG}},\mu_{\Psi^{\basis}}}
\newcommand{\argepbeontxicas}[0]{\den,\zeta,s,\ntwoextrapcas,\mu_{\text{CAS}}^{\basis}}
\newcommand{\argepbeuegXihf}[0]{\den,\tilde{\zeta},s,\ntwo^{\text{UEG}},\mu_{\Psi^{\basis}}}
\newcommand{\argrebasis}[0]{\denr,\zeta(\br{}),s(\br{}),\ntwo(\br{}),\mu_{\Psi^{A+B}}(\br{})}
\newcommand{\argrebasis}[0]{\denr,\zeta(\br{}),s(\br{}),\ntwo(\br{}),\mu(\br{})}
\newcommand{\argrebasisab}[0]{\denr,\zeta(\br{}),s,\ntwo(\br{}),\mu_{\Psi^{\basis}}(\br{})}
@ -282,25 +283,63 @@
\maketitle
\section{Size consistency of the basis-set correction}
\subsection{General considerations}
The following paragraph proposes a proof of the size consistency of the basis-set correction in the limit of dissociated fragments.
The present basis-set correction being an integral in real space,
The following paragraph gives a proof of the size consistency of the basis-set correction. The basis-set correction is expressed as an integral in real space
\begin{equation}
\label{eq:def_ecmdpbebasis}
\begin{aligned}
& \efuncdenpbe{\argebasis} = \\ & \int \text{d}\br{} \,\denr \ecmd(\argrebasis),
\end{aligned}
\end{equation}
where all the quantities $\argrebasis$ are obtained from the same wave function $\Psi^{A+B}$.
Such an integral can be rewritten as the sum of the contribution on $A$ and $B$
where all the local quantities $\argrebasis$ are obtained from the same wave function $\Psi$. In the limit of two dissociated fragments $\text{A}+\text{B}$, this integral can be rewritten as the sum of the integral over the region $\Omega_\text{A}$ and the integral over the region $\Omega_\text{B}$
\begin{equation}
\label{eq:def_ecmdpbebasis}
\begin{aligned}
& \efuncdenpbe{\argebasis} = \\ & \int_{ \br{} \in A} \text{d}\br{} \,\denr \ecmd(\argrebasis) \\ & + \int_{ \br{} \in B} \text{d}\br{} \,\denr \ecmd(\argrebasis),
& \efuncdenpbeAB{\argebasis} = \\ & \int_{\Omega_\text{A}} \text{d}\br{} \,\denr \ecmd(\argrebasis) \\ & + \int_{\Omega_\text{B}} \text{d}\br{} \,\denr \ecmd(\argrebasis).
\end{aligned}
\end{equation}
Therefore, a sufficient condition to obtain size extensivity in the limit of dissociated fragments is that all arguments entering in the function $\ecmd(\argrebasis)$ are \textit{intensive}, which means that they \textit{locally} coincide in the system $A$ and in the sub system $A$ of the super system $A+B$.
Therefore, a sufficient condition to obtain size consistency is that all the local quantities $\argrebasis$ are \textit{intensive}, i.e. that they \textit{locally} coincide in the supersystem $\text{A}+\text{B}$ and in each isolated fragment $\text{X}=\text{A}$ or $\text{B}$. Hence, for $\br{} \in \Omega_\text{X}$, we should have
\begin{subequations}
\begin{equation}
n_\text{A+B}(\br{}) = n_\text{X}(\br{}),
\label{nAB}
\end{equation}
\begin{equation}
\zeta_\text{A+B}(\br{}) = \zeta_\text{X}(\br{}),
\label{zAB}
\end{equation}
\begin{equation}
s_\text{A+B}(\br{}) = s_\text{X}(\br{}),
\label{sAB}
\end{equation}
\begin{equation}
n_{2,\text{A+B}}(\br{}) = n_{2,\text{X}}(\br{}),
\label{n2AB}
\end{equation}
\begin{equation}
\mu_{\text{A+B}}(\br{}) = \mu_{\text{X}}(\br{}),
\label{muAB}
\end{equation}
\end{subequations}
where the left-hand-side quantities are for the supersystem and the right-hand-side quantities for an isolated fragment. Such conditions can be difficult to fulfil in the presence of degeneracies since the system X can be in a different mixed state (i.e. ensemble) in the supersystem $\text{A}+\text{B}$ and in the isolated fragment~\cite{Sav-CP-09}. Here, we will consider the simple case where the wave function of the supersystem is multiplicatively separable, i.e.
\begin{equation}
\ket{\wf{\text{A}+\text{B}}{}} = \ket{\wf{\text{A}}{}} \otimes \ket{\wf{\text{B}}{}},
\end{equation}
where $\otimes$ is the antisymmetric tensor product. In this case, it is well known that Eqs.~(\ref{nAB})-(\ref{sAB}) are valid and it remains to show that Eqs.~(\ref{n2AB}) and~(\ref{muAB}) are also valid.
For spatial degeneracies such as different p states, by selected the same member of the ensemble in the supersystem and the isolated fragements.
applies to the systems treated in this work.
Even though this does deal with the case of degeneracies,
To avoid difficulties arising from spin-multiplet degeneracy, we can use the effective spin polarization $\tilde{\zeta}(n(\br{}),n_{2}(\br{}))$ depending only on $n(\br{})$ and $n_{2}(\br{})$ or a zero spin polarization $\zeta(\br{}) = 0$.
Regarding the density and its gradients, these are necessary intensive quantities. The remaining questions are therefore the local range-separation parameter $\murpsi$ and the on-top pair density.

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@ -565,8 +565,11 @@ Therefore, following other authors, \cite{MieStoSav-MP-97,LimCarLuoMaOlsTruGag-J
An alternative way to eliminate the $S_z$ dependency is to simply set $\zeta=0$, \ie, to resort to the spin-unpolarized functional. This lowers the accuracy for open-shell systems at $\mu=0$, \ie, for the usual PBE correlation functional $\varepsilon_{\text{c}}^{\text{PBE}}(\argepbe)$. Nevertheless, we argue that, for sufficiently large $\mu$, it is a viable option. Indeed, the purpose of introducing the spin polarization in semilocal density-functional approximations is to mimic the exact on-top pair density, \cite{PerSavBur-PRA-95} but our functional $\ecmd(\argecmd)$ already explicitly depends on the on-top pair density [see Eqs.~\eqref{eq:def_ecmdpbe} and \eqref{eq:def_beta}]. The dependencies on $\zeta$ and $n_2$ can thus be expected to be largely redundant. Consequently, we propose here to test the $\ecmd$ functional with \textit{a zero spin polarization}. This ensures its $S_z$ independence and, as will be numerically demonstrated, very weakly affects the complementary functional accuracy.
\subsubsection{Size consistency}
cite~\cite{Sav-CP-09} here
Since $\efuncdenpbe{\argebasis}$ is computed via a single integral over $\mathbb{R}^3$ [see Eq.~\eqref{eq:def_ecmdpbebasis}] which involves only local quantities [$n(\br{})$, $\zeta(\br{})$, $s(\br{})$, $n_2(\br{})$, and $\mu(\br{})$], in the case of non-overlapping fragments \ce{A\bond{...}B}, it can be written as the sum of two local contributions: one coming from the integration over the region of subsystem \ce{A} and the other one from the region of subsystem \ce{B}. Therefore, a sufficient condition for size consistency is that these local quantities coincide in the isolated systems and in the subsystems of the supersystem \ce{A\bond{...}B}. Since these local quantities are calculated from the wave function $\psibasis$, a sufficient condition is that the wave function is multiplicatively separable in the limit of non-interacting fragments, \ie, $\Psi_{\ce{A\bond{...}B}}^{\basis} = \Psi_{\ce{A}}^{\basis} \Psi_{\ce{B}}^{\basis}$.
We refer the interested reader to the {\SI} for a detailed proof of the latter statement.
In the case where the two subsystems \ce{A} and \ce{B} dissociate in closed-shell systems, a simple RHF wave function ensures this property, but when one or several covalent bonds are broken, a properly chosen CASSCF wave function is sufficient to recover this property. The underlying active space must however be chosen in such a way that it leads to size-consistent energies in the limit of dissociated fragments.

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48.051 60.398 m 51.75 60.398 l S Q
q 1 0 0 1 0 0 cm
345.148 60.398 m 341.449 60.398 l S Q
BT
8 0 0 8 22.226562 151.949219 Tm
8 0 0 -8 22.250781 63.425781 Tm
/f-0-0 1 Tf
(-0.02)Tj
ET
q 1 0 0 -1 0 216 cm
48.051 35.898 m 51.75 35.898 l S Q
q 1 0 0 -1 0 216 cm
345.148 35.898 m 341.449 35.898 l S Q
q 1 0 0 1 0 0 cm
48.051 35.102 m 51.75 35.102 l S Q
q 1 0 0 1 0 0 cm
345.148 35.102 m 341.449 35.102 l S Q
BT
8 0 0 8 22.226562 177.097656 Tm
8 0 0 -8 22.250781 38.125781 Tm
/f-0-0 1 Tf
(-0.01)Tj
ET
q 1 0 0 -1 0 216 cm
48.051 10.75 m 51.75 10.75 l S Q
q 1 0 0 -1 0 216 cm
345.148 10.75 m 341.449 10.75 l S Q
q 1 0 0 1 0 0 cm
48.051 9.852 m 51.75 9.852 l S Q
q 1 0 0 1 0 0 cm
345.148 9.852 m 341.449 9.852 l S Q
BT
8 0 0 8 35.292969 202.25 Tm
8 0 0 -8 35.317188 12.875781 Tm
/f-0-0 1 Tf
( 0)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
48.051 186.75 m 48.051 183.051 l S Q
q 1 0 0 -1 0 216 cm
48.051 10.75 m 48.051 14.449 l S Q
q 1 0 0 1 0 0 cm
48.051 9.852 m 48.051 13.551 l S Q
BT
8 0 0 8 44.207031 16.949219 Tm
8 0 0 -8 44.233594 199.075781 Tm
/f-0-0 1 Tf
( 2)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
97.551 186.75 m 97.551 183.051 l S Q
q 1 0 0 -1 0 216 cm
97.551 10.75 m 97.551 14.449 l S Q
q 1 0 0 1 0 0 cm
97.551 9.852 m 97.551 13.551 l S Q
BT
8 0 0 8 89.890625 16.949219 Tm
8 0 0 -8 89.917188 199.075781 Tm
/f-0-0 1 Tf
( 2.5)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
147.102 186.75 m 147.102 183.051 l S Q
q 1 0 0 -1 0 216 cm
147.102 10.75 m 147.102 14.449 l S Q
q 1 0 0 1 0 0 cm
147.102 9.852 m 147.102 13.551 l S Q
BT
8 0 0 8 143.257812 16.949219 Tm
8 0 0 -8 143.283594 199.075781 Tm
/f-0-0 1 Tf
( 3)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
196.602 186.75 m 196.602 183.051 l S Q
q 1 0 0 -1 0 216 cm
196.602 10.75 m 196.602 14.449 l S Q
q 1 0 0 1 0 0 cm
196.602 9.852 m 196.602 13.551 l S Q
BT
8 0 0 8 188.941406 16.949219 Tm
8 0 0 -8 188.967188 199.075781 Tm
/f-0-0 1 Tf
( 3.5)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
246.102 186.75 m 246.102 183.051 l S Q
q 1 0 0 -1 0 216 cm
246.102 10.75 m 246.102 14.449 l S Q
q 1 0 0 1 0 0 cm
246.102 9.852 m 246.102 13.551 l S Q
BT
8 0 0 8 242.257812 16.949219 Tm
8 0 0 -8 242.283594 199.075781 Tm
/f-0-0 1 Tf
( 4)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
295.648 186.75 m 295.648 183.051 l S Q
q 1 0 0 -1 0 216 cm
295.648 10.75 m 295.648 14.449 l S Q
q 1 0 0 1 0 0 cm
295.648 9.852 m 295.648 13.551 l S Q
BT
8 0 0 8 287.992188 16.949219 Tm
8 0 0 -8 288.017188 199.075781 Tm
/f-0-0 1 Tf
( 4.5)Tj
ET
q 1 0 0 -1 0 216 cm
q 1 0 0 1 0 0 cm
345.148 186.75 m 345.148 183.051 l S Q
q 1 0 0 -1 0 216 cm
345.148 10.75 m 345.148 14.449 l S Q
q 1 0 0 1 0 0 cm
345.148 9.852 m 345.148 13.551 l S Q
BT
8 0 0 8 341.308594 16.949219 Tm
8 0 0 -8 341.333594 199.075781 Tm
/f-0-0 1 Tf
( 5)Tj
ET
q 1 0 0 -1 0 216 cm
48.051 10.75 297.098 176 re S Q
q 1 0 0 1 0 0 cm
48.051 9.852 297.098 176.898 re S Q
BT
0 8 -8 0 10.699219 83.726562 Tm
0 -8 -8 0 11.175781 131.846875 Tm
/f-0-0 1 Tf
[(Ener)18(gy \(Hartr)22(ee\))]TJ
8 0 0 8 139.554688 3 Tm
8 0 0 -8 139.580469 213.025781 Tm
(Inter atomic distance \(a.u.\) )Tj
ET
0 0.619608 0.45098 rg
q 1 0 0 -1 0 216 cm
77.75 24.801 m 80.449 38.051 l 83.148 51.102 l 85.852 63.699 l 88.551 75.699
l 91.25 86.898 l 93.949 97.051 l 96.648 106 l 99.352 113.5 l 102.051 119.602
l 104.75 124.398 l 107.449 128.102 l 110.148 130.801 l 112.852 132.648
l 115.551 133.75 l 118.25 134.301 l 120.949 134.449 l 123.699 134.25 l 126.398
133.699 l 129.102 132.898 l 131.801 131.801 l 134.5 130.398 l 137.199 128.852
l 139.898 127.051 l 142.602 125.051 l 145.301 122.898 l 148 120.551 l 150.699
118.148 l 153.398 115.602 l 156.102 112.898 l 158.801 110.148 l 161.5 107.352
l 164.199 104.449 l 166.898 101.5 l 169.602 98.5 l 172.301 95.5 l 175 92.449
l 177.699 89.449 l 180.398 86.398 l 183.102 83.398 l 188.5 77.5 l 191.199
74.648 l 193.898 71.898 l 196.602 69.199 l 199.301 66.551 l 202 64.051
l 204.699 61.648 l 207.398 59.301 l 210.102 57.102 l 212.801 54.949 l 215.5
52.852 l 218.199 50.898 l 220.898 48.949 l 223.602 47.148 l 226.301 45.398
l 229 43.699 l 231.699 42.051 l 234.398 40.5 l 237.102 39.051 l 239.801
37.602 l 245.199 34.898 l 247.898 33.648 l 250.602 32.449 l 253.301 31.301
l 256 30.199 l 258.699 29.148 l 261.398 28.102 l 264.102 27.148 l 269.5
25.352 l 272.25 24.5 l 274.949 23.699 l 277.648 22.949 l 280.352 22.25
l 283.051 21.551 l 285.75 20.898 l 288.449 20.301 l 291.148 19.75 l 293.852
19.199 l 299.25 18.199 l 304.648 17.301 l 307.352 16.898 l 310.051 16.551
l 312.75 16.199 l 315.449 15.852 l 318.148 15.551 l 320.852 15.25 l 331.648
14.25 l 334.352 14.051 l 337.051 13.852 l 339.75 13.699 l 342.449 13.5
l 345.148 13.352 l S Q
q 1 0 0 1 0 0 cm
77.75 24 m 80.449 37.301 l 83.148 50.398 l 85.852 63.102 l 88.551 75.148
l 91.25 86.398 l 93.949 96.602 l 96.648 105.602 l 99.352 113.102 l 102.051
119.25 l 104.75 124.102 l 107.449 127.801 l 110.148 130.5 l 112.852 132.352
l 115.551 133.5 l 118.25 134.051 l 120.949 134.199 l 123.699 133.949 l
126.398 133.449 l 129.102 132.602 l 131.801 131.5 l 134.5 130.148 l 137.199
128.551 l 139.898 126.699 l 142.602 124.699 l 145.301 122.551 l 148 120.25
l 150.699 117.801 l 153.398 115.199 l 156.102 112.551 l 158.801 109.801
l 161.5 106.949 l 164.199 104.051 l 166.898 101.051 l 169.602 98.051 l
172.301 95.051 l 180.398 85.898 l 183.102 82.898 l 185.801 79.898 l 188.5
76.949 l 191.199 74.102 l 193.898 71.301 l 196.602 68.551 l 199.301 65.949
l 202 63.449 l 204.699 61 l 207.398 58.648 l 210.102 56.398 l 212.801 54.25
l 215.5 52.199 l 218.199 50.199 l 220.898 48.25 l 223.602 46.449 l 226.301
44.648 l 229 42.949 l 231.699 41.352 l 234.398 39.75 l 237.102 38.301 l
239.801 36.852 l 242.5 35.449 l 245.199 34.148 l 247.898 32.898 l 250.602
31.648 l 253.301 30.5 l 256 29.398 l 258.699 28.301 l 261.398 27.301 l
264.102 26.352 l 266.801 25.398 l 269.5 24.5 l 272.25 23.699 l 274.949 22.898
l 277.648 22.102 l 280.352 21.398 l 283.051 20.699 l 285.75 20.051 l 288.449
19.449 l 291.148 18.898 l 293.852 18.352 l 296.551 17.801 l 299.25 17.352
l 301.949 16.852 l 304.648 16.449 l 307.352 16.051 l 310.051 15.648 l 312.75
15.301 l 315.449 15 l 318.148 14.648 l 320.852 14.398 l 323.551 14.102
l 328.949 13.602 l 331.648 13.398 l 334.352 13.199 l 339.75 12.801 l 342.449
12.648 l 345.148 12.449 l S Q
0 g
BT
9.333008 0 0 9.333008 263.398438 56.563477 Tm
9.333008 0 0 -9.333008 260.802441 159.463086 Tm
/f-0-0 1 Tf
[(F)21(C)24(I)11(/)12(a)22(v)21(d)23(z)]TJ
(FCI/avdz)Tj
ET
0 0.619608 0.45098 rg
q 1 0 0 -1 0 216 cm
74.75 21.801 m 80.75 27.801 l S Q
q 1 0 0 -1 0 216 cm
74.75 27.801 m 80.75 21.801 l S Q
q 1 0 0 -1 0 216 cm
94.551 105.648 m 100.551 111.648 l S Q
q 1 0 0 -1 0 216 cm
94.551 111.648 m 100.551 105.648 l S Q
q 1 0 0 -1 0 216 cm
116.852 131.449 m 122.852 137.449 l S Q
q 1 0 0 -1 0 216 cm
116.852 137.449 m 122.852 131.449 l S Q
q 1 0 0 -1 0 216 cm
144.102 118.352 m 150.102 124.352 l S Q
q 1 0 0 -1 0 216 cm
144.102 124.352 m 150.102 118.352 l S Q
q 1 0 0 -1 0 216 cm
193.602 66.199 m 199.602 72.199 l S Q
q 1 0 0 -1 0 216 cm
193.602 72.199 m 199.602 66.199 l S Q
q 1 0 0 -1 0 216 cm
243.102 31.5 m 249.102 37.5 l S Q
q 1 0 0 -1 0 216 cm
243.102 37.5 m 249.102 31.5 l S Q
q 1 0 0 -1 0 216 cm
342.148 10.352 m 348.148 16.352 l S Q
q 1 0 0 -1 0 216 cm
342.148 16.352 m 348.148 10.352 l S Q
q 1 0 0 -1 0 216 cm
317.949 152.949 m 323.949 158.949 l S Q
q 1 0 0 -1 0 216 cm
317.949 158.949 m 323.949 152.949 l S Q
q 1 0 0 1 0 0 cm
74.75 21 m 80.75 27 l S Q
q 1 0 0 1 0 0 cm
74.75 27 m 80.75 21 l S Q
q 1 0 0 1 0 0 cm
94.551 105.25 m 100.551 111.25 l S Q
q 1 0 0 1 0 0 cm
94.551 111.25 m 100.551 105.25 l S Q
q 1 0 0 1 0 0 cm
116.852 131.148 m 122.852 137.148 l S Q
q 1 0 0 1 0 0 cm
116.852 137.148 m 122.852 131.148 l S Q
q 1 0 0 1 0 0 cm
144.102 118 m 150.102 124 l S Q
q 1 0 0 1 0 0 cm
144.102 124 m 150.102 118 l S Q
q 1 0 0 1 0 0 cm
193.602 65.551 m 199.602 71.551 l S Q
q 1 0 0 1 0 0 cm
193.602 71.551 m 199.602 65.551 l S Q
q 1 0 0 1 0 0 cm
243.102 30.699 m 249.102 36.699 l S Q
q 1 0 0 1 0 0 cm
243.102 36.699 m 249.102 30.699 l S Q
q 1 0 0 1 0 0 cm
342.148 9.449 m 348.148 15.449 l S Q
q 1 0 0 1 0 0 cm
342.148 15.449 m 348.148 9.449 l S Q
q 1 0 0 1 0 0 cm
317.352 152.949 m 323.352 158.949 l S Q
q 1 0 0 1 0 0 cm
317.352 158.949 m 323.352 152.949 l S Q
0 g
q 1 0 0 -1 0 216 cm
77.75 50.301 m 80.449 62.551 l 83.148 74.602 l 85.852 86.25 l 88.551 97.301
l 91.25 107.551 l 93.949 116.75 l 96.648 124.801 l 99.352 131.398 l 102.051
136.648 l 104.75 140.699 l 107.449 143.602 l 110.148 145.5 l 112.852 146.648
l 115.551 147.051 l 118.25 146.949 l 120.949 146.398 l 123.699 145.551
l 126.398 144.398 l 129.102 142.949 l 131.801 141.301 l 134.5 139.352 l
137.199 137.25 l 139.898 134.949 l 142.602 132.449 l 145.301 129.801 l 148
127.051 l 150.699 124.199 l 153.398 121.25 l 156.102 118.199 l 158.801
115.051 l 161.5 111.898 l 166.898 105.398 l 169.602 102.102 l 172.301 98.801
l 175 95.551 l 177.699 92.25 l 180.398 89 l 183.102 85.75 l 185.801 82.602
l 188.5 79.5 l 191.199 76.449 l 193.898 73.5 l 196.602 70.602 l 199.301
67.852 l 202 65.199 l 204.699 62.699 l 207.398 60.25 l 210.102 57.898 l
212.801 55.648 l 215.5 53.5 l 218.199 51.398 l 220.898 49.398 l 223.602
47.5 l 226.301 45.699 l 229 43.949 l 231.699 42.25 l 234.398 40.648 l 237.102
39.148 l 239.801 37.648 l 242.5 36.25 l 245.199 34.898 l 247.898 33.602
l 250.602 32.352 l 253.301 31.199 l 256 30.051 l 258.699 28.949 l 261.398
27.898 l 264.102 26.949 l 266.801 26 l 269.5 25.102 l 272.25 24.25 l 277.648
22.648 l 280.352 21.949 l 283.051 21.25 l 285.75 20.602 l 291.148 19.398
l 293.852 18.852 l 299.25 17.852 l 301.949 17.398 l 304.648 16.949 l 307.352
16.551 l 310.051 16.199 l 312.75 15.852 l 315.449 15.5 l 318.148 15.199
l 320.852 14.949 l 323.551 14.648 l 326.25 14.398 l 328.949 14.199 l 331.648
13.949 l 334.352 13.75 l 337.051 13.602 l 339.75 13.398 l 345.148 13.102
l S Q
q 1 0 0 1 0 0 cm
77.75 49.602 m 80.449 61.949 l 83.148 74.051 l 85.852 85.75 l 88.551 96.852
l 91.25 107.148 l 93.949 116.398 l 96.648 124.5 l 99.352 131.148 l 102.051
136.398 l 104.75 140.449 l 107.449 143.352 l 110.148 145.301 l 112.852
146.398 l 115.551 146.852 l 118.25 146.75 l 120.949 146.199 l 123.699 145.352
l 126.398 144.148 l 129.102 142.75 l 131.801 141.051 l 134.5 139.148 l
137.199 137 l 139.898 134.648 l 142.602 132.148 l 145.301 129.551 l 148
126.75 l 150.699 123.852 l 153.398 120.898 l 156.102 117.852 l 158.801 114.699
l 161.5 111.5 l 166.898 105 l 169.602 101.699 l 172.301 98.352 l 177.699
91.75 l 180.398 88.5 l 183.102 85.25 l 185.801 82.051 l 188.5 78.949 l
191.199 75.852 l 193.898 72.898 l 196.602 70.051 l 199.301 67.25 l 202 64.602
l 204.699 62.051 l 207.398 59.602 l 210.102 57.25 l 212.801 54.949 l 215.5
52.801 l 218.199 50.699 l 220.898 48.699 l 223.602 46.801 l 226.301 44.949
l 229 43.199 l 231.699 41.551 l 234.398 39.898 l 237.102 38.352 l 239.801
36.898 l 245.199 34.102 l 247.898 32.801 l 250.602 31.551 l 253.301 30.398
l 256 29.25 l 258.699 28.148 l 261.398 27.102 l 264.102 26.102 l 266.801
25.148 l 269.5 24.25 l 272.25 23.398 l 274.949 22.602 l 277.648 21.852
l 280.352 21.102 l 283.051 20.398 l 285.75 19.75 l 288.449 19.148 l 291.148
18.551 l 293.852 18 l 299.25 17 l 304.648 16.102 l 307.352 15.699 l 310.051
15.352 l 315.449 14.648 l 318.148 14.352 l 320.852 14.051 l 328.949 13.301
l 331.648 13.102 l 334.352 12.898 l 339.75 12.5 l 342.449 12.352 l 345.148
12.199 l S Q
BT
9.333008 0 0 9.333008 218.9375 45.688477 Tm
9.333008 0 0 -9.333008 214.670557 170.313086 Tm
/f-0-0 1 Tf
[(F)21(C)24(I)11(+)30(P)21(B)25(E)22(o)22(t)14(0)]TJ
(FCI+PBEot0)Tj
/f-0-1 1 Tf
[<>23<01>]TJ
<01>Tj
/f-0-0 1 Tf
[()19(/)12(a)22(v)21(d)23(z)]TJ
(/avdz)Tj
ET
q 1 0 0 -1 0 216 cm
74.75 52.301 m 77.75 47.301 l 80.75 52.301 l h
74.75 52.301 m S Q
q 1 0 0 -1 0 216 cm
94.551 129.148 m 97.551 124.148 l 100.551 129.148 l h
94.551 129.148 m S Q
q 1 0 0 -1 0 216 cm
116.852 148.648 m 119.852 143.648 l 122.852 148.648 l h
116.852 148.648 m S Q
q 1 0 0 -1 0 216 cm
144.102 130 m 147.102 125 l 150.102 130 l h
144.102 130 m S Q
q 1 0 0 -1 0 216 cm
193.602 72.602 m 196.602 67.602 l 199.602 72.602 l h
193.602 72.602 m S Q
q 1 0 0 -1 0 216 cm
243.102 36.449 m 246.102 31.449 l 249.102 36.449 l h
243.102 36.449 m S Q
q 1 0 0 -1 0 216 cm
342.148 15.102 m 345.148 10.102 l 348.148 15.102 l h
342.148 15.102 m S Q
q 1 0 0 -1 0 216 cm
317.949 168.801 m 320.949 163.801 l 323.949 168.801 l h
317.949 168.801 m S Q
q 1 0 0 1 0 0 cm
74.75 51.602 m 77.75 46.602 l 80.75 51.602 l h
74.75 51.602 m S Q
q 1 0 0 1 0 0 cm
94.551 128.852 m 97.551 123.852 l 100.551 128.852 l h
94.551 128.852 m S Q
q 1 0 0 1 0 0 cm
116.852 148.449 m 119.852 143.449 l 122.852 148.449 l h
116.852 148.449 m S Q
q 1 0 0 1 0 0 cm
144.102 129.699 m 147.102 124.699 l 150.102 129.699 l h
144.102 129.699 m S Q
q 1 0 0 1 0 0 cm
193.602 72.051 m 196.602 67.051 l 199.602 72.051 l h
193.602 72.051 m S Q
q 1 0 0 1 0 0 cm
243.102 35.699 m 246.102 30.699 l 249.102 35.699 l h
243.102 35.699 m S Q
q 1 0 0 1 0 0 cm
342.148 14.199 m 345.148 9.199 l 348.148 14.199 l h
342.148 14.199 m S Q
q 1 0 0 1 0 0 cm
317.352 168.801 m 320.352 163.801 l 323.352 168.801 l h
317.352 168.801 m S Q
0.898039 0.117647 0.0627451 rg
q 1 0 0 -1 0 216 cm
77.75 33.398 m 80.449 52.051 l 83.148 70.352 l 85.852 87.898 l 88.551 104.449
l 91.25 119.551 l 93.949 132.898 l 96.648 144.102 l 99.352 152.801 l 102.051
159.199 l 104.75 163.449 l 107.449 165.949 l 110.148 166.949 l 112.852
166.852 l 115.551 165.852 l 118.25 164.352 l 120.949 162.648 l 123.699 160.852
l 126.398 159 l 129.102 157.102 l 131.801 155.102 l 134.5 153.051 l 137.199
150.949 l 139.898 148.699 l 142.602 146.352 l 145.301 143.949 l 148 141.398
l 150.699 138.699 l 153.398 135.949 l 156.102 133.102 l 158.801 130.148
l 161.5 127.102 l 164.199 124.051 l 166.898 120.898 l 169.602 117.75 l
175 111.352 l 177.699 108.102 l 180.398 104.898 l 183.102 101.699 l 185.801
98.551 l 188.5 95.449 l 191.199 92.352 l 193.898 89.352 l 196.602 86.449
l 199.301 83.602 l 202 80.801 l 204.699 78.148 l 207.398 75.5 l 210.102
73 l 212.801 70.551 l 215.5 68.199 l 218.199 65.898 l 220.898 63.648 l
223.602 61.5 l 229 57.398 l 234.398 53.602 l 237.102 51.801 l 239.801 50.051
l 242.5 48.352 l 247.898 45.148 l 250.602 43.648 l 253.301 42.199 l 256
40.801 l 258.699 39.449 l 261.398 38.199 l 264.102 36.949 l 266.801 35.75
l 269.5 34.602 l 272.25 33.5 l 277.648 31.5 l 280.352 30.5 l 283.051 29.602
l 288.449 27.898 l 291.148 27.102 l 293.852 26.352 l 296.551 25.602 l 299.25
24.898 l 304.648 23.602 l 307.352 23.051 l 310.051 22.449 l 312.75 21.898
l 318.148 20.898 l 320.852 20.449 l 326.25 19.551 l 328.949 19.148 l 331.648
18.75 l 334.352 18.398 l 337.051 18.051 l 339.75 17.699 l 342.449 17.352
l 345.148 17.051 l S Q
q 1 0 0 1 0 0 cm
77.75 32.602 m 80.449 51.352 l 83.148 69.75 l 85.852 87.398 l 88.551 104
l 91.25 119.199 l 93.949 132.602 l 96.648 143.852 l 99.352 152.648 l 102.051
159.051 l 104.75 163.352 l 107.449 165.852 l 110.148 166.852 l 112.852
166.75 l 115.551 165.75 l 118.25 164.25 l 120.949 162.5 l 123.699 160.699
l 126.398 158.852 l 129.102 156.949 l 131.801 154.949 l 134.5 152.898 l
137.199 150.75 l 139.898 148.5 l 142.602 146.148 l 145.301 143.699 l 148
141.148 l 150.699 138.449 l 153.398 135.699 l 156.102 132.801 l 158.801
129.852 l 161.5 126.801 l 164.199 123.699 l 166.898 120.551 l 169.602 117.398
l 172.301 114.148 l 175 110.949 l 177.699 107.699 l 180.398 104.5 l 183.102
101.301 l 185.801 98.102 l 188.5 94.949 l 191.199 91.898 l 193.898 88.852
l 196.602 85.898 l 199.301 83.051 l 202 80.25 l 204.699 77.551 l 207.398
74.949 l 210.102 72.398 l 212.801 69.949 l 215.5 67.551 l 218.199 65.25
l 220.898 63.051 l 223.602 60.852 l 229 56.75 l 231.699 54.801 l 234.398
52.898 l 237.102 51.102 l 239.801 49.352 l 242.5 47.648 l 245.199 46 l
247.898 44.449 l 250.602 42.949 l 253.301 41.449 l 256 40.051 l 258.699
38.699 l 261.398 37.398 l 264.102 36.199 l 266.801 35 l 269.5 33.852 l 272.25
32.75 l 274.949 31.699 l 277.648 30.699 l 280.352 29.699 l 283.051 28.801
l 285.75 27.898 l 288.449 27.102 l 291.148 26.301 l 293.852 25.5 l 299.25
24.102 l 301.949 23.398 l 304.648 22.801 l 307.352 22.199 l 310.051 21.602
l 312.75 21.051 l 318.148 20.051 l 320.852 19.602 l 323.551 19.148 l 326.25
18.699 l 328.949 18.301 l 331.648 17.898 l 334.352 17.551 l 337.051 17.148
l 339.75 16.801 l 342.449 16.5 l 345.148 16.148 l S Q
0 g
BT
9.333008 0 0 9.333008 276.820312 34.860352 Tm
9.333008 0 0 -9.333008 274.719922 181.163086 Tm
/f-0-0 1 Tf
[(E)23(x)21(a)22(c)19(t)]TJ
(Exact)Tj
ET
0.898039 0.117647 0.0627451 rg
80.75 182.602 m 80.75 178.602 74.75 178.602 74.75 182.602 c 74.75 186.602
80.75 186.602 80.75 182.602 c f
q 1 0 0 -1 0 216 cm
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l 79.699 138.199 l 82.648 139.602 l 85.602 140.801 l 88.551 141.852 l 91.5
142.699 l 94.449 143.352 l 97.398 143.852 l 100.352 144.199 l 103.301 144.449
l 106.25 144.551 l 109.199 144.5 l 112.148 144.398 l 115.102 144.148 l
118.051 143.852 l 121 143.449 l 123.949 143 l 126.898 142.5 l 129.852 141.898
l 132.801 141.25 l 135.75 140.551 l 138.699 139.801 l 141.648 139 l 144.602
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l 159.352 132.898 l 162.301 131.75 l 168.199 129.25 l 171.148 127.949 l
174.102 126.602 l 177.051 125.199 l 182.949 122.301 l 185.898 120.801 l
188.852 119.301 l 191.801 117.75 l 194.75 116.148 l 197.699 114.551 l 200.602
112.949 l 203.551 111.301 l 206.5 109.602 l 209.449 107.898 l 212.398 106.199
l 215.352 104.449 l 221.25 100.949 l 224.199 99.148 l 227.148 97.352 l
230.102 95.551 l 233.051 93.75 l 236 91.898 l 238.949 90.051 l 241.898 88.199
l 244.852 86.301 l 247.801 84.449 l 250.75 82.551 l 253.699 80.648 l 256.648
78.75 l 259.602 76.852 l 262.551 74.949 l 265.5 73 l 268.449 71.102 l 271.398
69.199 l 274.352 67.301 l 277.301 65.352 l 280.25 63.449 l 283.199 61.551
l 286.148 59.648 l 289.102 57.75 l 292.051 55.852 l 295 53.949 l 297.949
52.051 l 300.898 50.199 l 303.852 48.352 l 309.75 44.648 l 312.699 42.801
l 315.648 41 l 318.602 39.199 l 321.551 37.398 l 330.398 32.148 l 333.352
30.449 l 339.25 27.051 l 342.199 25.398 l 345.148 23.75 l S Q
0 g
BT
9.333008 0 0 -9.333008 61.133838 33.363037 Tm
/f-0-0 1 Tf
(FCI+PBE-UEG)Tj
/f-0-1 1 Tf
<01>Tj
/f-0-0 1 Tf
6.918217 0.600016 Td
(-)Tj
0.271973 -0.600016 Td
(/avdz)Tj
ET
0.580392 0 0.827451 rg
q 1 0 0 1 0 0 cm
50.148 111.301 6 6 re S Q
q 1 0 0 1 0 0 cm
115.852 140.75 6 6 re S Q
q 1 0 0 1 0 0 cm
196.148 110.75 6 6 re S Q
q 1 0 0 1 0 0 cm
342.148 20.75 6 6 re S Q
q 1 0 0 1 0 0 cm
170.148 26.852 6 6 re S Q
0.901961 0.623529 0 rg
q 1 0 0 1 0 0 cm
53.148 114.449 m 56.102 118.301 l 59.051 121.801 l 62 125 l 64.949 127.949
l 67.898 130.602 l 70.852 133 l 73.801 135.148 l 76.75 137.051 l 79.699
138.699 l 82.648 140.199 l 85.602 141.449 l 88.551 142.5 l 91.5 143.352
l 94.449 144.102 l 97.398 144.602 l 100.352 145 l 103.301 145.25 l 106.25
145.398 l 109.199 145.398 l 112.148 145.301 l 115.102 145.102 l 118.051
144.852 l 121 144.449 l 123.949 144.051 l 126.898 143.551 l 129.852 143
l 132.801 142.398 l 135.75 141.699 l 138.699 140.949 l 141.648 140.148
l 144.602 139.301 l 147.551 138.398 l 150.5 137.449 l 153.449 136.449 l
156.398 135.352 l 159.352 134.25 l 162.301 133.102 l 165.25 131.898 l 168.199
130.602 l 171.148 129.352 l 174.102 128 l 177.051 126.648 l 180 125.199
l 182.949 123.801 l 185.898 122.301 l 188.852 120.801 l 194.75 117.699
l 197.699 116.102 l 200.602 114.5 l 203.551 112.852 l 206.5 111.199 l 212.398
107.801 l 215.352 106.051 l 224.199 100.801 l 227.148 99 l 230.102 97.199
l 233.051 95.352 l 238.949 91.648 l 241.898 89.801 l 244.852 87.949 l 247.801
86.051 l 250.75 84.199 l 253.699 82.301 l 256.648 80.398 l 259.602 78.5
l 262.551 76.551 l 265.5 74.648 l 268.449 72.75 l 271.398 70.801 l 274.352
68.898 l 277.301 67 l 280.25 65.051 l 283.199 63.148 l 286.148 61.25 l
289.102 59.352 l 292.051 57.449 l 295 55.551 l 297.949 53.648 l 300.898
51.801 l 303.852 49.898 l 306.801 48.051 l 309.75 46.199 l 312.699 44.352
l 315.648 42.551 l 318.602 40.75 l 324.5 37.148 l 330.398 33.648 l 333.352
31.898 l 336.301 30.199 l 339.25 28.551 l 342.199 26.852 l 345.148 25.199
l S Q
0 g
BT
9.333008 0 0 9.333008 111.800781 192.610352 Tm
9.333008 0 0 -9.333008 75.092334 44.213037 Tm
/f-0-0 1 Tf
[(F)21(C)24(I)11(/)12(a)22(v)21(d)23(z)]TJ
ET
0 0.619608 0.45098 rg
q 1 0 0 -1 0 216 cm
50.148 81.801 m 56.148 87.801 l S Q
q 1 0 0 -1 0 216 cm
50.148 87.801 m 56.148 81.801 l S Q
q 1 0 0 -1 0 216 cm
115.852 121.949 m 121.852 127.949 l S Q
q 1 0 0 -1 0 216 cm
115.852 127.949 m 121.852 121.949 l S Q
q 1 0 0 -1 0 216 cm
196.148 101.602 m 202.148 107.602 l S Q
q 1 0 0 -1 0 216 cm
196.148 107.602 m 202.148 101.602 l S Q
q 1 0 0 -1 0 216 cm
342.148 20.398 m 348.148 26.398 l S Q
q 1 0 0 -1 0 216 cm
342.148 26.398 m 348.148 20.398 l S Q
q 1 0 0 -1 0 216 cm
166.352 16.898 m 172.352 22.898 l S Q
q 1 0 0 -1 0 216 cm
166.352 22.898 m 172.352 16.898 l S Q
0.580392 0 0.827451 rg
q 1 0 0 -1 0 216 cm
53.148 114.699 m 56.102 118.449 l 59.051 121.898 l 62 125.051 l 64.949
127.898 l 67.898 130.5 l 70.852 132.852 l 73.801 134.949 l 76.75 136.801
l 79.699 138.449 l 82.648 139.852 l 85.602 141.051 l 88.551 142.102 l 91.5
142.898 l 94.449 143.602 l 97.398 144.102 l 100.352 144.449 l 103.301 144.648
l 106.25 144.75 l 109.199 144.75 l 112.148 144.602 l 115.102 144.352 l
118.051 144.051 l 121 143.699 l 123.949 143.25 l 126.898 142.699 l 129.852
142.148 l 132.801 141.5 l 135.75 140.801 l 138.699 140.051 l 141.648 139.199
l 144.602 138.352 l 147.551 137.398 l 150.5 136.449 l 153.449 135.398 l
156.398 134.301 l 159.352 133.199 l 165.25 130.801 l 168.199 129.551 l
171.148 128.25 l 174.102 126.898 l 180 124.102 l 182.949 122.648 l 185.898
121.148 l 188.852 119.648 l 191.801 118.102 l 194.75 116.551 l 197.699
114.949 l 200.602 113.301 l 203.551 111.648 l 206.5 110 l 212.398 106.602
l 215.352 104.898 l 221.25 101.398 l 224.199 99.602 l 227.148 97.852 l
230.102 96 l 233.051 94.199 l 236 92.352 l 238.949 90.551 l 241.898 88.699
l 244.852 86.801 l 247.801 84.949 l 250.75 83.051 l 253.699 81.199 l 256.648
79.301 l 259.602 77.398 l 265.5 73.602 l 268.449 71.699 l 271.398 69.801
l 274.352 67.898 l 280.25 64.102 l 283.199 62.199 l 286.148 60.301 l 289.102
58.398 l 292.051 56.5 l 295 54.648 l 297.949 52.75 l 300.898 50.898 l 303.852
49.051 l 306.801 47.199 l 309.75 45.352 l 315.648 41.75 l 318.602 39.949
l 321.551 38.148 l 327.449 34.648 l 330.398 32.949 l 333.352 31.199 l 336.301
29.551 l 339.25 27.852 l 342.199 26.199 l 345.148 24.602 l S Q
0 g
BT
9.333008 0 0 9.333008 61.226562 181.736963 Tm
/f-0-0 1 Tf
[(F)21(C)24(I)11(+)30(P)21(B)25(E)22(-)13(U)26(E)23(G)]TJ
(FCI+PBEot)Tj
/f-0-1 1 Tf
[<>28<01>]TJ
<01>Tj
/f-0-0 1 Tf
6.671367 0.600016 Td
5.422612 0.600016 Td
(-)Tj
0.262268 -0.600016 Td
[(/)12(a)22(v)21(d)23(z)]TJ
ET
0.580392 0 0.827451 rg
q 1 0 0 -1 0 216 cm
50.148 111.699 6 6 re S Q
q 1 0 0 -1 0 216 cm
115.852 140.949 6 6 re S Q
q 1 0 0 -1 0 216 cm
196.148 111.148 6 6 re S Q
q 1 0 0 -1 0 216 cm
342.148 21.602 6 6 re S Q
q 1 0 0 -1 0 216 cm
166.352 27.75 6 6 re S Q
0.901961 0.623529 0 rg
q 1 0 0 -1 0 216 cm
53.148 114.852 m 56.102 118.648 l 59.051 122.102 l 62 125.301 l 64.949
128.25 l 67.898 130.852 l 70.852 133.25 l 73.801 135.398 l 76.75 137.301
l 79.699 138.949 l 82.648 140.398 l 85.602 141.648 l 88.551 142.699 l 91.5
143.602 l 94.449 144.301 l 97.398 144.852 l 100.352 145.25 l 103.301 145.5
l 106.25 145.602 l 109.199 145.602 l 112.148 145.5 l 115.102 145.301 l
118.051 145.051 l 121 144.699 l 126.898 143.801 l 129.852 143.25 l 132.801
142.602 l 135.75 141.949 l 138.699 141.199 l 141.648 140.398 l 144.602
139.551 l 147.551 138.648 l 150.5 137.699 l 153.449 136.699 l 156.398 135.602
l 159.352 134.5 l 162.301 133.352 l 165.25 132.148 l 168.199 130.898 l
171.148 129.602 l 174.102 128.301 l 177.051 126.949 l 180 125.551 l 182.949
124.102 l 185.898 122.648 l 188.852 121.148 l 191.801 119.602 l 194.75
118.051 l 197.699 116.449 l 200.602 114.852 l 203.551 113.199 l 206.5 111.551
l 209.449 109.898 l 212.398 108.199 l 215.352 106.449 l 218.301 104.75
l 221.25 103 l 224.199 101.199 l 227.148 99.449 l 230.102 97.648 l 233.051
95.801 l 236 94 l 238.949 92.148 l 241.898 90.301 l 244.852 88.449 l 247.801
86.602 l 250.75 84.699 l 253.699 82.801 l 256.648 80.898 l 259.602 79.051
l 262.551 77.148 l 265.5 75.25 l 268.449 73.301 l 271.398 71.398 l 274.352
69.5 l 277.301 67.602 l 280.25 65.699 l 283.199 63.801 l 286.148 61.898
l 289.102 60 l 292.051 58.102 l 295 56.199 l 297.949 54.352 l 300.898 52.449
l 303.852 50.602 l 309.75 46.898 l 312.699 45.102 l 315.648 43.301 l 318.602
41.5 l 324.5 37.898 l 327.449 36.148 l 330.398 34.449 l 333.352 32.699
l 336.301 31 l 339.25 29.352 l 342.199 27.699 l 345.148 26.051 l S Q
0 g
BT
9.333008 0 0 9.333008 74.6875 170.8854 Tm
/f-0-0 1 Tf
[(F)21(C)24(I)11(+)30(P)21(B)25(E)22(o)22(t)]TJ
/f-0-1 1 Tf
[<>14<01>]TJ
/f-0-0 1 Tf
5.229125 0.600016 Td
(-)Tj
0.262268 -0.600016 Td
[(/)12(a)22(v)21(d)23(z)]TJ
0.271973 -0.600016 Td
(/avdz)Tj
ET
0.901961 0.623529 0 rg
q 1 0 0 -1 0 216 cm
50.148 111.852 6 6 re S Q
q 1 0 0 -1 0 216 cm
115.852 141.949 6 6 re S Q
q 1 0 0 -1 0 216 cm
196.148 112.648 6 6 re S Q
q 1 0 0 -1 0 216 cm
342.148 23.051 6 6 re S Q
q 1 0 0 -1 0 216 cm
166.352 38.602 6 6 re S Q
q 1 0 0 1 0 0 cm
50.148 111.449 6 6 re S Q
q 1 0 0 1 0 0 cm
115.852 141.75 6 6 re S Q
q 1 0 0 1 0 0 cm
196.148 112.301 6 6 re S Q
q 1 0 0 1 0 0 cm
342.148 22.199 6 6 re S Q
q 1 0 0 1 0 0 cm
170.148 37.699 6 6 re S Q
0 g
q 1 0 0 -1 0 216 cm
53.148 113.602 m 56.102 117.398 l 59.051 120.898 l 62 124.148 l 64.949
127.051 l 67.898 129.699 l 70.852 132.102 l 73.801 134.25 l 76.75 136.148
l 79.699 137.852 l 82.648 139.301 l 85.602 140.551 l 88.551 141.602 l 91.5
142.5 l 94.449 143.199 l 97.398 143.75 l 100.352 144.148 l 103.301 144.398
l 106.25 144.551 l 109.199 144.551 l 112.148 144.5 l 115.102 144.301 l
118.051 144.051 l 121 143.699 l 123.949 143.301 l 126.898 142.801 l 129.852
142.25 l 132.801 141.648 l 135.75 141 l 141.648 139.5 l 144.602 138.648
l 147.551 137.75 l 150.5 136.801 l 153.449 135.801 l 156.398 134.75 l 159.352
133.648 l 162.301 132.5 l 165.25 131.301 l 171.148 128.801 l 174.102 127.449
l 177.051 126.102 l 180 124.699 l 182.949 123.301 l 185.898 121.852 l 188.852
120.352 l 197.699 115.699 l 200.602 114.102 l 203.551 112.5 l 206.5 110.852
l 209.449 109.148 l 212.398 107.449 l 215.352 105.75 l 218.301 104.051
l 224.199 100.551 l 227.148 98.75 l 230.102 96.949 l 233.051 95.148 l 236
93.352 l 241.898 89.648 l 244.852 87.801 l 247.801 85.949 l 250.75 84.102
l 253.699 82.199 l 256.648 80.352 l 259.602 78.449 l 262.551 76.551 l 265.5
74.648 l 271.398 70.852 l 274.352 68.949 l 277.301 67.051 l 280.25 65.148
l 286.148 61.352 l 289.102 59.5 l 292.051 57.602 l 295 55.699 l 297.949
53.852 l 300.898 52 l 303.852 50.148 l 306.801 48.301 l 309.75 46.449 l
312.699 44.648 l 315.648 42.852 l 318.602 41.051 l 321.551 39.25 l 330.398
34 l 333.352 32.301 l 336.301 30.602 l 339.25 28.949 l 342.199 27.301 l
345.148 25.648 l S Q
q 1 0 0 1 0 0 cm
53.148 113.25 m 56.102 117.051 l 59.051 120.602 l 62 123.801 l 64.949 126.75
l 67.898 129.398 l 70.852 131.801 l 73.801 133.949 l 76.75 135.898 l 79.699
137.602 l 82.648 139.051 l 85.602 140.301 l 88.551 141.398 l 91.5 142.25
l 94.449 143 l 97.398 143.551 l 100.352 143.949 l 103.301 144.199 l 106.25
144.352 l 109.199 144.352 l 112.148 144.25 l 115.102 144.102 l 118.051
143.801 l 121 143.449 l 123.949 143.051 l 126.898 142.602 l 129.852 142.051
l 132.801 141.449 l 138.699 140.051 l 141.648 139.25 l 144.602 138.398
l 147.551 137.5 l 150.5 136.551 l 153.449 135.551 l 156.398 134.449 l 159.352
133.352 l 162.301 132.199 l 165.25 131 l 171.148 128.5 l 174.102 127.148
l 177.051 125.801 l 180 124.398 l 185.898 121.5 l 188.852 120 l 191.801
118.5 l 194.75 116.898 l 197.699 115.352 l 200.602 113.75 l 203.551 112.102
l 206.5 110.449 l 212.398 107.051 l 215.352 105.352 l 224.199 100.102 l
227.148 98.301 l 230.102 96.5 l 233.051 94.699 l 236 92.852 l 238.949 91.051
l 241.898 89.199 l 244.852 87.301 l 247.801 85.449 l 250.75 83.551 l 253.699
81.699 l 256.648 79.801 l 259.602 77.898 l 265.5 74.102 l 268.449 72.199
l 271.398 70.25 l 274.352 68.352 l 277.301 66.449 l 280.25 64.551 l 283.199
62.648 l 286.148 60.75 l 289.102 58.852 l 292.051 56.949 l 295 55.051 l
297.949 53.148 l 300.898 51.301 l 303.852 49.449 l 306.801 47.602 l 312.699
43.898 l 315.648 42.102 l 318.602 40.301 l 321.551 38.5 l 324.5 36.75 l
327.449 34.949 l 330.398 33.25 l 333.352 31.5 l 336.301 29.801 l 339.25
28.148 l 342.199 26.449 l 345.148 24.852 l S Q
BT
9.333008 0 0 9.333008 67.339844 160.036133 Tm
9.333008 0 0 -9.333008 67.470557 55.063086 Tm
/f-0-0 1 Tf
[(F)21(C)24(I)11(+)30(P)21(B)25(E)22(o)22(t)14(0)]TJ
(FCI+PBEot0)Tj
/f-0-1 1 Tf
[<>23<01>]TJ
<01>Tj
/f-0-0 1 Tf
[()19(/)12(a)22(v)21(d)23(z)]TJ
(/avdz)Tj
ET
q 1 0 0 -1 0 216 cm
50.148 115.602 m 53.148 110.602 l 56.148 115.602 l h
50.148 115.602 m S Q
q 1 0 0 -1 0 216 cm
115.852 145.949 m 118.852 140.949 l 121.852 145.949 l h
115.852 145.949 m S Q
q 1 0 0 -1 0 216 cm
196.148 116.898 m 199.148 111.898 l 202.148 116.898 l h
196.148 116.898 m S Q
q 1 0 0 -1 0 216 cm
342.148 27.648 m 345.148 22.648 l 348.148 27.648 l h
342.148 27.648 m S Q
q 1 0 0 -1 0 216 cm
166.352 54.449 m 169.352 49.449 l 172.352 54.449 l h
166.352 54.449 m S Q
q 1 0 0 1 0 0 cm
50.148 115.25 m 53.148 110.25 l 56.148 115.25 l h
50.148 115.25 m S Q
q 1 0 0 1 0 0 cm
115.852 145.699 m 118.852 140.699 l 121.852 145.699 l h
115.852 145.699 m S Q
q 1 0 0 1 0 0 cm
196.148 116.551 m 199.148 111.551 l 202.148 116.551 l h
196.148 116.551 m S Q
q 1 0 0 1 0 0 cm
342.148 26.852 m 345.148 21.852 l 348.148 26.852 l h
342.148 26.852 m S Q
q 1 0 0 1 0 0 cm
170.148 53.551 m 173.148 48.551 l 176.148 53.551 l h
170.148 53.551 m S Q
0.898039 0.117647 0.0627451 rg
q 1 0 0 -1 0 216 cm
53.148 144.898 m 56.102 149.898 l 59.051 154.398 l 62 158.352 l 64.949
161.852 l 67.898 164.898 l 70.852 167.5 l 73.801 169.648 l 76.75 171.5 l
79.699 172.898 l 82.648 174.051 l 85.602 174.852 l 88.551 175.352 l 91.5
175.602 l 94.449 175.648 l 97.398 175.449 l 100.352 175.051 l 103.301 174.5
l 106.25 173.852 l 109.199 173.051 l 112.148 172.148 l 115.102 171.199
l 123.949 168.199 l 126.898 167.148 l 129.852 166.102 l 135.75 164 l 138.699
162.898 l 141.648 161.852 l 144.602 160.75 l 147.551 159.602 l 150.5 158.5
l 153.449 157.352 l 156.398 156.148 l 159.352 155 l 162.301 153.801 l 165.25
152.551 l 168.199 151.352 l 171.148 150.102 l 174.102 148.801 l 180 146.199
l 182.949 144.852 l 185.898 143.5 l 188.852 142.102 l 191.801 140.699 l
197.699 137.801 l 200.602 136.352 l 203.551 134.852 l 209.449 131.75 l
212.398 130.148 l 215.352 128.551 l 218.301 126.949 l 221.25 125.301 l 224.199
123.648 l 227.148 122 l 230.102 120.301 l 233.051 118.602 l 241.898 113.352
l 244.852 111.602 l 247.801 109.801 l 250.75 108.051 l 253.699 106.25 l
256.648 104.398 l 259.602 102.602 l 262.551 100.801 l 265.5 98.949 l 268.449
97.102 l 271.398 95.301 l 274.352 93.449 l 277.301 91.602 l 283.199 87.898
l 286.148 86.051 l 289.102 84.199 l 292.051 82.352 l 297.949 78.648 l 300.898
76.801 l 303.852 74.949 l 306.801 73.102 l 315.648 67.699 l 318.602 65.898
l 321.551 64.102 l 324.5 62.301 l 330.398 58.801 l 333.352 57.051 l 336.301
55.352 l 339.25 53.602 l 342.199 51.949 l 345.148 50.25 l S Q
q 1 0 0 1 0 0 cm
53.148 144.699 m 56.102 149.699 l 59.051 154.199 l 62 158.199 l 64.949
161.699 l 67.898 164.75 l 70.852 167.398 l 73.801 169.602 l 76.75 171.398
l 79.699 172.852 l 82.648 173.949 l 85.602 174.801 l 88.551 175.301 l 91.5
175.551 l 94.449 175.602 l 97.398 175.398 l 100.352 175 l 103.301 174.449
l 106.25 173.75 l 109.199 172.949 l 112.148 172.102 l 115.102 171.102 l
123.949 168.102 l 126.898 167.051 l 129.852 166 l 135.75 163.898 l 138.699
162.801 l 141.648 161.699 l 144.602 160.602 l 147.551 159.449 l 150.5 158.352
l 153.449 157.199 l 156.398 156 l 159.352 154.801 l 162.301 153.602 l 165.25
152.398 l 171.148 149.898 l 174.102 148.602 l 180 146 l 182.949 144.648
l 185.898 143.25 l 188.852 141.898 l 191.801 140.449 l 194.75 139.051 l
197.699 137.551 l 200.602 136.102 l 203.551 134.551 l 206.5 133.051 l 209.449
131.449 l 212.398 129.898 l 215.352 128.25 l 218.301 126.648 l 224.199
123.352 l 227.148 121.648 l 230.102 119.949 l 233.051 118.25 l 241.898 113
l 244.852 111.199 l 247.801 109.449 l 250.75 107.648 l 253.699 105.801
l 256.648 104 l 259.602 102.199 l 262.551 100.352 l 268.449 96.648 l 271.398
94.801 l 274.352 92.949 l 277.301 91.102 l 280.25 89.25 l 283.199 87.352
l 286.148 85.5 l 289.102 83.648 l 292.051 81.801 l 295 79.949 l 297.949
78.102 l 300.898 76.25 l 303.852 74.398 l 306.801 72.551 l 309.75 70.699
l 312.699 68.898 l 315.648 67.051 l 318.602 65.25 l 321.551 63.449 l 324.5
61.699 l 327.449 59.898 l 330.398 58.148 l 333.352 56.398 l 336.301 54.648
l 345.148 49.551 l S Q
0 g
BT
9.333008 0 0 9.333008 125.21875 149.211914 Tm
9.333008 0 0 -9.333008 127.519922 65.913086 Tm
/f-0-0 1 Tf
[(E)23(x)21(a)22(c)19(t)]TJ
(Exact)Tj
ET
0.898039 0.117647 0.0627451 rg
56.148 71.102 m 56.148 67.102 50.148 67.102 50.148 71.102 c 50.148 75.102
56.148 75.102 56.148 71.102 c f
q 1 0 0 -1 0 216 cm
56.148 144.898 m 56.148 148.898 50.148 148.898 50.148 144.898 c 50.148
140.898 56.148 140.898 56.148 144.898 c S Q
121.852 46.051 m 121.852 42.051 115.852 42.051 115.852 46.051 c 115.852
50.051 121.852 50.051 121.852 46.051 c f
q 1 0 0 -1 0 216 cm
121.852 169.949 m 121.852 173.949 115.852 173.949 115.852 169.949 c 115.852
165.949 121.852 165.949 121.852 169.949 c S Q
202.148 78.898 m 202.148 74.898 196.148 74.898 196.148 78.898 c 196.148
82.898 202.148 82.898 202.148 78.898 c f
q 1 0 0 -1 0 216 cm
202.148 137.102 m 202.148 141.102 196.148 141.102 196.148 137.102 c 196.148
133.102 202.148 133.102 202.148 137.102 c S Q
348.148 165.75 m 348.148 161.75 342.148 161.75 342.148 165.75 c 342.148
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345.148 66.898 m 341.449 66.898 l S Q
BT
8 0 0 8 25.992188 146.097656 Tm
/f-0-0 1 Tf
( 0)Tj
ET
q 1 0 0 -1 0 216 cm
38.75 48.199 m 42.449 48.199 l S Q
q 1 0 0 -1 0 216 cm
345.148 48.199 m 341.449 48.199 l S Q
BT
8 0 0 8 13.269531 164.800781 Tm
/f-0-0 1 Tf
( 0.01)Tj
ET
q 1 0 0 -1 0 216 cm
38.75 29.449 m 42.449 29.449 l S Q
q 1 0 0 -1 0 216 cm
345.148 29.449 m 341.449 29.449 l S Q
BT
8 0 0 8 13.269531 183.550781 Tm
/f-0-0 1 Tf
( 0.02)Tj
ET
q 1 0 0 -1 0 216 cm
38.75 10.75 m 42.449 10.75 l S Q
q 1 0 0 -1 0 216 cm
345.148 10.75 m 341.449 10.75 l S Q
BT
8 0 0 8 13.269531 202.25 Tm
/f-0-0 1 Tf
( 0.03)Tj
ET
q 1 0 0 -1 0 216 cm
38.75 197.898 m 38.75 194.199 l S Q
q 1 0 0 -1 0 216 cm
38.75 10.75 m 38.75 14.449 l S Q
BT
8 0 0 8 34.910156 5.800781 Tm
/f-0-0 1 Tf
( 2)Tj
ET
q 1 0 0 -1 0 216 cm
69.398 197.898 m 69.398 194.199 l S Q
q 1 0 0 -1 0 216 cm
69.398 10.75 m 69.398 14.449 l S Q
BT
8 0 0 8 61.742188 5.800781 Tm
/f-0-0 1 Tf
( 2.5)Tj
ET
q 1 0 0 -1 0 216 cm
100.051 197.898 m 100.051 194.199 l S Q
q 1 0 0 -1 0 216 cm
100.051 10.75 m 100.051 14.449 l S Q
BT
8 0 0 8 96.207031 5.800781 Tm
/f-0-0 1 Tf
( 3)Tj
ET
q 1 0 0 -1 0 216 cm
130.648 197.898 m 130.648 194.199 l S Q
q 1 0 0 -1 0 216 cm
130.648 10.75 m 130.648 14.449 l S Q
BT
8 0 0 8 122.992188 5.800781 Tm
/f-0-0 1 Tf
( 3.5)Tj
ET
q 1 0 0 -1 0 216 cm
161.301 197.898 m 161.301 194.199 l S Q
q 1 0 0 -1 0 216 cm
161.301 10.75 m 161.301 14.449 l S Q
BT
8 0 0 8 157.457031 5.800781 Tm
/f-0-0 1 Tf
( 4)Tj
ET
q 1 0 0 -1 0 216 cm
191.949 197.898 m 191.949 194.199 l S Q
q 1 0 0 -1 0 216 cm
191.949 10.75 m 191.949 14.449 l S Q
BT
8 0 0 8 184.292969 5.800781 Tm
/f-0-0 1 Tf
( 4.5)Tj
ET
q 1 0 0 -1 0 216 cm
222.602 197.898 m 222.602 194.199 l S Q
q 1 0 0 -1 0 216 cm
222.602 10.75 m 222.602 14.449 l S Q
BT
8 0 0 8 218.757812 5.800781 Tm
/f-0-0 1 Tf
( 5)Tj
ET
q 1 0 0 -1 0 216 cm
253.25 197.898 m 253.25 194.199 l S Q
q 1 0 0 -1 0 216 cm
253.25 10.75 m 253.25 14.449 l S Q
BT
8 0 0 8 245.59375 5.800781 Tm
/f-0-0 1 Tf
( 5.5)Tj
ET
q 1 0 0 -1 0 216 cm
283.852 197.898 m 283.852 194.199 l S Q
q 1 0 0 -1 0 216 cm
283.852 10.75 m 283.852 14.449 l S Q
BT
8 0 0 8 280.007812 5.800781 Tm
/f-0-0 1 Tf
( 6)Tj
ET
q 1 0 0 -1 0 216 cm
314.5 197.898 m 314.5 194.199 l S Q
q 1 0 0 -1 0 216 cm
314.5 10.75 m 314.5 14.449 l S Q
BT
8 0 0 8 306.84375 5.800781 Tm
/f-0-0 1 Tf
( 6.5)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
( 7)Tj
ET
q 1 0 0 -1 0 216 cm
38.75 10.75 306.398 187.148 re S Q
0 0.619608 0.45098 rg
q 1 0 0 -1 0 216 cm
57.148 21.199 m 60.051 37.949 l 62.949 53.949 l 65.852 68.449 l 68.75 80.699
l 71.699 90.102 l 74.602 96.699 l 77.5 101.148 l 80.398 103.949 l 83.301
105.602 l 86.25 106.602 l 89.148 107 l 92.051 106.949 l 94.949 106.5 l
97.852 105.648 l 100.75 104.551 l 103.699 103.199 l 106.602 101.648 l 109.5
99.949 l 112.398 98.102 l 115.301 96.148 l 118.25 94.148 l 121.148 92.148
l 124.051 90.199 l 126.949 88.25 l 129.852 86.398 l 132.75 84.648 l 135.699
83.051 l 138.602 81.602 l 141.5 80.25 l 144.398 79 l 147.301 77.852 l 150.25
76.801 l 153.148 75.801 l 156.051 74.949 l 158.949 74.102 l 161.852 73.352
l 164.801 72.648 l 167.699 72 l 170.602 71.398 l 173.5 70.852 l 176.398
70.301 l 179.301 69.852 l 182.25 69.449 l 185.148 69.051 l 188.051 68.699
l 190.949 68.398 l 193.852 68.148 l 196.801 67.898 l 199.699 67.648 l 202.602
67.449 l 205.5 67.301 l 208.398 67.148 l 211.301 67 l 214.25 66.898 l 217.148
66.801 l 220.051 66.699 l 222.949 66.602 l 225.852 66.5 l 228.801 66.449
l 231.699 66.352 l 234.602 66.301 l 240.398 66.199 l 243.352 66.148 l 246.25
66.102 l 249.148 66.102 l 252.051 66.051 l 254.949 66.051 l 257.852 66
l 263.699 66 l 266.602 65.949 l 278.25 65.949 l 281.148 66 l 289.852 66
l 292.801 66.051 l 295.699 66.051 l 298.602 66.102 l 301.5 66.102 l 304.398
66.148 l 307.352 66.148 l 310.25 66.199 l 313.148 66.199 l 316.051 66.25
l 318.949 66.301 l 321.898 66.301 l 324.801 66.352 l 327.699 66.352 l 330.602
66.398 l 333.5 66.449 l 336.398 66.449 l 339.352 66.5 l 342.25 66.551 l
345.148 66.551 l S Q
0 g
BT
8 0 0 8 271.570312 193.898438 Tm
/f-0-0 1 Tf
(FCI/avdz)Tj
ET
0 0.619608 0.45098 rg
q 1 0 0 -1 0 216 cm
55.648 19.699 m 58.648 22.699 l S Q
q 1 0 0 -1 0 216 cm
55.648 22.699 m 58.648 19.699 l S Q
q 1 0 0 -1 0 216 cm
67.898 81.449 m 70.898 84.449 l S Q
q 1 0 0 -1 0 216 cm
67.898 84.449 m 70.898 81.449 l S Q
q 1 0 0 -1 0 216 cm
81.699 104.051 m 84.699 107.051 l S Q
q 1 0 0 -1 0 216 cm
81.699 107.051 m 84.699 104.051 l S Q
q 1 0 0 -1 0 216 cm
98.551 103.352 m 101.551 106.352 l S Q
q 1 0 0 -1 0 216 cm
98.551 106.352 m 101.551 103.352 l S Q
q 1 0 0 -1 0 216 cm
129.148 84.398 m 132.148 87.398 l S Q
q 1 0 0 -1 0 216 cm
129.148 87.398 m 132.148 84.398 l S Q
q 1 0 0 -1 0 216 cm
159.801 72 m 162.801 75 l S Q
q 1 0 0 -1 0 216 cm
159.801 75 m 162.801 72 l S Q
q 1 0 0 -1 0 216 cm
221.102 65.102 m 224.102 68.102 l S Q
q 1 0 0 -1 0 216 cm
221.102 68.102 m 224.102 65.102 l S Q
q 1 0 0 -1 0 216 cm
343.648 65.051 m 346.648 68.051 l S Q
q 1 0 0 -1 0 216 cm
343.648 68.051 m 346.648 65.051 l S Q
q 1 0 0 -1 0 216 cm
321.398 17.602 m 324.398 20.602 l S Q
q 1 0 0 -1 0 216 cm
321.398 20.602 m 324.398 17.602 l S Q
0.337255 0.705882 0.913725 rg
q 1 0 0 -1 0 216 cm
57.148 57.75 m 60.051 71.898 l 62.949 85.301 l 65.852 97.301 l 68.75 107.148
l 71.699 114.301 l 74.602 118.852 l 77.5 121.352 l 80.398 122.301 l 83.301
122.25 l 86.25 121.602 l 89.148 120.551 l 92.051 119.102 l 94.949 117.352
l 97.852 115.352 l 100.75 113.148 l 103.699 110.801 l 106.602 108.301 l
109.5 105.75 l 112.398 103.148 l 115.301 100.551 l 118.25 97.949 l 121.148
95.398 l 124.051 92.898 l 126.949 90.551 l 129.852 88.301 l 132.75 86.25
l 135.699 84.352 l 138.602 82.602 l 141.5 81.051 l 144.398 79.602 l 147.301
78.301 l 150.25 77.102 l 153.148 76 l 156.051 75 l 158.949 74.102 l 161.852
73.25 l 164.801 72.5 l 167.699 71.801 l 170.602 71.148 l 173.5 70.551 l
176.398 70.051 l 179.301 69.551 l 182.25 69.102 l 185.148 68.75 l 188.051
68.398 l 190.949 68.051 l 193.852 67.801 l 196.801 67.551 l 199.699 67.352
l 202.602 67.148 l 205.5 67 l 208.398 66.898 l 211.301 66.75 l 214.25 66.648
l 217.148 66.602 l 220.051 66.5 l 222.949 66.449 l 225.852 66.398 l 228.801
66.352 l 231.699 66.301 l 234.602 66.25 l 240.398 66.148 l 243.352 66.148
l 246.25 66.102 l 249.148 66.102 l 252.051 66.051 l 257.852 66.051 l 260.801
66 l 278.25 66 l 281.148 66.051 l 286.949 66.051 l 289.852 66.102 l 295.699
66.102 l 298.602 66.148 l 301.5 66.148 l 304.398 66.199 l 307.352 66.199
l 310.25 66.25 l 313.148 66.25 l 316.051 66.301 l 318.949 66.301 l 321.898
66.352 l 324.801 66.352 l 327.699 66.398 l 330.602 66.449 l 333.5 66.449
l 336.398 66.5 l 339.352 66.5 l 342.25 66.551 l 345.148 66.551 l S Q
0 g
BT
8 0 0 8 249.5 184.597656 Tm
/f-0-0 1 Tf
(FCI+PBE/avdz)Tj
ET
0.337255 0.705882 0.913725 rg
q 1 0 0 -1 0 216 cm
55.648 57.75 m 58.648 57.75 l S Q
q 1 0 0 -1 0 216 cm
57.148 56.25 m 57.148 59.25 l S Q
q 1 0 0 -1 0 216 cm
55.648 56.25 m 58.648 59.25 l S Q
q 1 0 0 -1 0 216 cm
55.648 59.25 m 58.648 56.25 l S Q
q 1 0 0 -1 0 216 cm
67.898 108.949 m 70.898 108.949 l S Q
q 1 0 0 -1 0 216 cm
69.398 107.449 m 69.398 110.449 l S Q
q 1 0 0 -1 0 216 cm
67.898 107.449 m 70.898 110.449 l S Q
q 1 0 0 -1 0 216 cm
67.898 110.449 m 70.898 107.449 l S Q
q 1 0 0 -1 0 216 cm
81.699 122.25 m 84.699 122.25 l S Q
q 1 0 0 -1 0 216 cm
83.199 120.75 m 83.199 123.75 l S Q
q 1 0 0 -1 0 216 cm
81.699 120.75 m 84.699 123.75 l S Q
q 1 0 0 -1 0 216 cm
81.699 123.75 m 84.699 120.75 l S Q
q 1 0 0 -1 0 216 cm
98.551 113.699 m 101.551 113.699 l S Q
q 1 0 0 -1 0 216 cm
100.051 112.199 m 100.051 115.199 l S Q
q 1 0 0 -1 0 216 cm
98.551 112.199 m 101.551 115.199 l S Q
q 1 0 0 -1 0 216 cm
98.551 115.199 m 101.551 112.199 l S Q
q 1 0 0 -1 0 216 cm
129.148 87.699 m 132.148 87.699 l S Q
q 1 0 0 -1 0 216 cm
130.648 86.199 m 130.648 89.199 l S Q
q 1 0 0 -1 0 216 cm
129.148 86.199 m 132.148 89.199 l S Q
q 1 0 0 -1 0 216 cm
129.148 89.199 m 132.148 86.199 l S Q
q 1 0 0 -1 0 216 cm
159.801 73.449 m 162.801 73.449 l S Q
q 1 0 0 -1 0 216 cm
161.301 71.949 m 161.301 74.949 l S Q
q 1 0 0 -1 0 216 cm
159.801 71.949 m 162.801 74.949 l S Q
q 1 0 0 -1 0 216 cm
159.801 74.949 m 162.801 71.949 l S Q
q 1 0 0 -1 0 216 cm
221.102 66.449 m 224.102 66.449 l S Q
q 1 0 0 -1 0 216 cm
222.602 64.949 m 222.602 67.949 l S Q
q 1 0 0 -1 0 216 cm
221.102 64.949 m 224.102 67.949 l S Q
q 1 0 0 -1 0 216 cm
221.102 67.949 m 224.102 64.949 l S Q
q 1 0 0 -1 0 216 cm
343.648 66.551 m 346.648 66.551 l S Q
q 1 0 0 -1 0 216 cm
345.148 65.051 m 345.148 68.051 l S Q
q 1 0 0 -1 0 216 cm
343.648 65.051 m 346.648 68.051 l S Q
q 1 0 0 -1 0 216 cm
343.648 68.051 m 346.648 65.051 l S Q
q 1 0 0 -1 0 216 cm
321.398 28.398 m 324.398 28.398 l S Q
q 1 0 0 -1 0 216 cm
322.898 26.898 m 322.898 29.898 l S Q
q 1 0 0 -1 0 216 cm
321.398 26.898 m 324.398 29.898 l S Q
q 1 0 0 -1 0 216 cm
321.398 29.898 m 324.398 26.898 l S Q
0.898039 0.117647 0.0627451 rg
q 1 0 0 -1 0 216 cm
57.148 83.75 m 60.051 107.75 l 62.949 130.352 l 65.852 150.199 l 68.75
165.852 l 71.699 176.148 l 74.602 181.551 l 77.5 183.199 l 80.398 182.449
l 83.301 180.398 l 86.25 178.051 l 89.148 175.602 l 92.051 173 l 94.949
170.199 l 97.852 167.199 l 100.75 163.898 l 103.699 160.398 l 106.602 156.648
l 109.5 152.75 l 112.398 148.699 l 115.301 144.602 l 118.25 140.449 l 121.148
136.301 l 124.051 132.148 l 126.949 128.148 l 129.852 124.25 l 132.75 120.551
l 135.699 117.051 l 138.602 113.699 l 141.5 110.551 l 144.398 107.551 l
147.301 104.75 l 150.25 102.051 l 153.148 99.551 l 156.051 97.199 l 158.949
95 l 161.852 92.898 l 164.801 90.949 l 167.699 89.102 l 170.602 87.398
l 173.5 85.852 l 176.398 84.352 l 179.301 83 l 182.25 81.699 l 185.148 80.551
l 188.051 79.449 l 190.949 78.449 l 193.852 77.551 l 196.801 76.699 l 199.699
75.898 l 202.602 75.199 l 205.5 74.551 l 208.398 73.949 l 211.301 73.352
l 214.25 72.852 l 217.148 72.398 l 220.051 71.949 l 222.949 71.5 l 225.852
71.148 l 228.801 70.75 l 231.699 70.398 l 234.602 70.051 l 240.398 69.449
l 243.352 69.199 l 249.148 68.699 l 252.051 68.5 l 254.949 68.301 l 257.852
68.102 l 260.801 67.898 l 263.699 67.75 l 266.602 67.602 l 269.5 67.5 l
272.398 67.352 l 275.352 67.25 l 278.25 67.148 l 281.148 67.102 l 284.051
67 l 286.949 66.949 l 289.852 66.898 l 292.801 66.852 l 295.699 66.852
l 298.602 66.801 l 316.051 66.801 l 318.949 66.852 l 321.898 66.852 l 324.801
66.898 l 327.699 66.898 l 330.602 66.949 l 333.5 66.949 l 336.398 67 l
339.352 67 l 345.148 67.102 l S Q
0 g
BT
8 0 0 8 283.5 175.300781 Tm
/f-0-0 1 Tf
(Exact)Tj
ET
0.898039 0.117647 0.0627451 rg
58.648 132.25 m 58.648 130.25 55.648 130.25 55.648 132.25 c 55.648 134.25
58.648 134.25 58.648 132.25 c f
q 1 0 0 -1 0 216 cm
58.648 83.75 m 58.648 85.75 55.648 85.75 55.648 83.75 c 55.648 81.75 58.648
81.75 58.648 83.75 c S Q
70.898 47.5 m 70.898 45.5 67.898 45.5 67.898 47.5 c 67.898 49.5 70.898
49.5 70.898 47.5 c f
q 1 0 0 -1 0 216 cm
70.898 168.5 m 70.898 170.5 67.898 170.5 67.898 168.5 c 67.898 166.5 70.898
166.5 70.898 168.5 c S Q
84.699 35.5 m 84.699 33.5 81.699 33.5 81.699 35.5 c 81.699 37.5 84.699
37.5 84.699 35.5 c f
q 1 0 0 -1 0 216 cm
84.699 180.5 m 84.699 182.5 81.699 182.5 81.699 180.5 c 81.699 178.5 84.699
178.5 84.699 180.5 c S Q
101.551 51.25 m 101.551 49.25 98.551 49.25 98.551 51.25 c 98.551 53.25
101.551 53.25 101.551 51.25 c f
q 1 0 0 -1 0 216 cm
101.551 164.75 m 101.551 166.75 98.551 166.75 98.551 164.75 c 98.551 162.75
101.551 162.75 101.551 164.75 c S Q
132.148 92.75 m 132.148 90.75 129.148 90.75 129.148 92.75 c 129.148 94.75
132.148 94.75 132.148 92.75 c f
q 1 0 0 -1 0 216 cm
132.148 123.25 m 132.148 125.25 129.148 125.25 129.148 123.25 c 129.148
121.25 132.148 121.25 132.148 123.25 c S Q
162.801 122.699 m 162.801 120.699 159.801 120.699 159.801 122.699 c 159.801
124.699 162.801 124.699 162.801 122.699 c f
q 1 0 0 -1 0 216 cm
162.801 93.301 m 162.801 95.301 159.801 95.301 159.801 93.301 c 159.801
91.301 162.801 91.301 162.801 93.301 c S Q
224.102 144.449 m 224.102 142.449 221.102 142.449 221.102 144.449 c 221.102
146.449 224.102 146.449 224.102 144.449 c f
q 1 0 0 -1 0 216 cm
224.102 71.551 m 224.102 73.551 221.102 73.551 221.102 71.551 c 221.102
69.551 224.102 69.551 224.102 71.551 c S Q
346.648 148.898 m 346.648 146.898 343.648 146.898 343.648 148.898 c 343.648
150.898 346.648 150.898 346.648 148.898 c f
q 1 0 0 -1 0 216 cm
346.648 67.102 m 346.648 69.102 343.648 69.102 343.648 67.102 c 343.648
65.102 346.648 65.102 346.648 67.102 c S Q
324.398 178.301 m 324.398 176.301 321.398 176.301 321.398 178.301 c 321.398
180.301 324.398 180.301 324.398 178.301 c f
q 1 0 0 -1 0 216 cm
324.398 37.699 m 324.398 39.699 321.398 39.699 321.398 37.699 c 321.398
35.699 324.398 35.699 324.398 37.699 c S Q
0 g
q 1 0 0 -1 0 216 cm
38.75 10.75 306.398 187.148 re S Q
Q Q
showpage
%%Trailer
end restore
%%EOF

View File

@ -42,7 +42,7 @@ plot '${FILE}' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 p
replot '${FILE}' using 1:3 smooth cspline notitle lt 9 , "" using 1:3 w p lt 9 ps 1 title "${WF}+PBE-UEG~{/Symbol z}{.8-}/$BASIS"
replot '${FILE}' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 1 title "${WF}+PBEot~{/Symbol z}{.8-}/$BASIS"
replot '${FILE}' using 1:5 smooth cspline notitle lt 8 , "" using 1:5 w p lt 8 ps 1 title "${WF}+PBEot0{/Symbol z}/$BASIS"
replot '${FILE}' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 1 title "Exact"
replot '${FILE}' using 1:6 smooth acsplines notitle lt 7 , "" using 1:6 w p lt 7 ps 1 title "Exact"
set terminal eps enhanced linewidth 6
set output "${OUT}.eps"
replot
@ -51,6 +51,7 @@ EOF
fi
exit
gnuplot pouet.gp
TYPE=error

View File

@ -1,9 +1,17 @@
set xrange [:7]
plot 'data_DFT_avdzE_error' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 1 title "FCI/avdz"
replot 'data_DFT_avdzE_error' using 1:5 smooth cspline notitle lt 8 , "" using 1:5 w p lt 8 ps 1 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 1 title "FCI+PBEot/avdz"
replot 'data_DFT_avdzE_error' using 1:3 smooth cspline notitle lt 9 , "" using 1:3 w p lt 9 ps 1 title "FCI+PBE/avdz"
set xrange [2.5:3.5]
set key left
set xlabel "Inter atomic distance (a.u.) "
set ylabel "Energy (Hartree)"
set key font ",15"
set key spacing "1,8"
plot 'data_DFT_avdzE_relat' using 1:2 smooth cspline notitle lt 2 , "" using 1:2 w p lt 2 ps 1 title "FCI/avdz"
replot 'data_DFT_avdzE_relat' using 1:3 smooth cspline notitle lt 9 , "" using 1:3 w p lt 9 ps 1 title "FCI+PBE-UEG~{/Symbol z}{.8-}/avdz"
replot 'data_DFT_avdzE_relat' using 1:4 smooth cspline notitle lt 4 , "" using 1:4 w p lt 4 ps 1 title "FCI+PBEot~{/Symbol z}{.8-}/avdz"
replot 'data_DFT_avdzE_relat' using 1:5 smooth cspline notitle lt 8 , "" using 1:5 w p lt 8 ps 1 title "FCI+PBEot0{/Symbol z}/avdz"
replot 'data_DFT_avdzE_relat' using 1:6 smooth cspline notitle lt 7 , "" using 1:6 w p lt 7 ps 1 title "Exact"
set terminal eps enhanced linewidth 6
set output "DFT_avdzE_error.eps"
set output "DFT_avdzE_relat_zoom.eps"
replot