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fix SI
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4 changes: 2 additions & 2 deletions README.md
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# A publication on nitroxides
# Solvent effects on the prediction of redox potentials: application to nitroxides

A publication about nitroxides (aminoxyls) and their redox potential in solution, by Dr. [P. Beaujean](https://pierrebeaujean.net).
A publication about nitroxides (aminoxyls) and their redox potential in solution (including electrolytes and ion-pairs), by Dr. [P. Beaujean](https://pierrebeaujean.net).

This repository contains the [structures](./structures), the [curated data](./data), the [analysis scripts](./analyses), [the source for other images](./im), and the text.

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2 changes: 1 addition & 1 deletion TODO.md
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- [x] Description of the SI? → Nope
- [x] Mat → Matsui
- [x] Data availability
- [ ] Update SI (!!)
- [x] Update SI (!!)
- [ ] Address last comments
28 changes: 15 additions & 13 deletions nitroxides_SI.tex
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\renewcommand{\thetable}{S\arabic{table}}
\renewcommand{\thefigure}{S\arabic{figure}}

\paragraph{Note to reviewers.} While the computational results dataset is under embargo until the publication, you may access it using the following link: \url{https://zenodo.org/records/12751130?token=eyJhbGciOiJIUzUxMiJ9.eyJpZCI6IjZlNjM0ZmU0LTMzZmMtNDFlYy05ODYxLTRmZGFjNjI3Y2Y3MyIsImRhdGEiOnt9LCJyYW5kb20iOiJhNjMxNjEyNmMxNzNmZDkzYjJiZjg2ZWYyOGFkYzIzNCJ9.ft-YmetAcpD_q9-_3u28iLC-LylgS3-SGZBtgBm-1xJitmQTLnJxukzsvUzAmeWAjv8NviHWw-smqh2ztkNr8g}.

\begin{figure}[!h]
\centering
\includegraphics [width=\linewidth]{FigureS1}
\caption{Evolution of (left) the Born solvation energy, $\Delta G^\star_{Born}$ [computed with Eq.~(4)] as a function of the dielectric constant of the solvent for different radii of the spherical cavities ($a$) and of (right) the Debye-Huckel correction, $\Delta G^\star_{DH}$ [computed with Eq.~(5)] as a function of the concentration in electrolyte, $[X]$ (right) in water and acetonitrile.}
\caption{Evolution of (left) the Born solvation energy, $\Delta G^\star_{Born}$ [computed with Eq.~(7)] as a function of the dielectric constant of the solvent for different radii of the spherical cavities ($a$) and of (right) the Debye-Hückel correction, $\Delta G^\star_{DH}$ [computed with Eq.~(5)] as a function of the concentration in electrolyte, $[X]$, in water and acetonitrile.}
\end{figure}

\begin{figure}[!h]
\centering
\includegraphics [width=.5\linewidth]{FigureS2}
\caption{Impact of the concentration of electrolyte on the formal oxidation potential [computed with Eq.~(9)] , $E^f_{abs}(\ce{N+}|\ce{N^.})$, considering a fictitious case where $E^0_{abs} = \SI{0}{\volt}$.}
\caption{Impact of the concentration of electrolyte on the formal oxidation potential [computed with Eq.~(10)] , $E^f_{abs}(\ce{N+}|\ce{N^.})$, considering a fictitious case where $E^0_{abs} = \SI{0}{\volt}$.}
\end{figure}

\begin{figure}[!h]
\centering
\includegraphics [width=.7\linewidth]{FigureS3}
\caption{Evolution of the cologarithm of the equilibrium constant, $pK_{pair}$ [computed from Eq.~(12)] between two ions as a function of $\chi$, the ratio between the radii of the two ions and for 3 values of dipole cavity shape factor ($s_2$). The ion charges are set to $\pm 1$, and two possible scaling factor for the close contact distance is used ($s_1$, left and right). }
\caption{Evolution of the cologarithm of the equilibrium constant, $pK_{pair}$ [computed from Eq.~(12)] between two ions as a function of $\chi$, the ratio between the radii of the two ions and for 3 values of dipole cavity shape factor ($s_2$). The ion charges are set to $\pm 1$, and two possible scaling factors for the close contact distance are used ($s_1$, left and right). }
\end{figure}


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\clearpage
\begin{longtblr}[caption={Distances ($d$, in \si{\angstrom}) between $>$\ce{N+=O} and \ce{A-} (left, measured as the distance between the nitrogen and the boron of \ce{A-}) and between \ce{N-O-} and \ce{C+} (right, measured as the distance between the oxygen and the nitrogen of \ce{C+}) toghether with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}) in two different cases: in front of the methyls ($f$, near the redox center) and behind the methyls ($b$, near the substituent), as computed at the $\omega$B97X-D/6-311+G(d) level in water (SMD), with $[\ce{X}]=\SI{0}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]X[c]X[c]cX[c]X[c]X[c]X[c]}, width = \linewidth,rowhead=2}
\begin{longtblr}[caption={Distances ($d$, in \si{\angstrom}) between $>$\ce{N+=O} and \ce{A-} (left, measured as the distance between the nitrogen and the boron of \ce{A-}) and between \ce{N-O-} and \ce{C+} (right, measured as the distance between the oxygen and the nitrogen of \ce{C+}) together with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}) in two different cases: in front of the methyls ($f$, near the redox center) and behind the methyls ($b$, near the substituent), as computed at the $\omega$B97X-D/6-311+G(d) level in water (SMD), with $[\ce{X}]=\SI{0}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]X[c]X[c]cX[c]X[c]X[c]X[c]}, width = \linewidth,rowhead=2}
\hline
& \SetCell[c=4]{c} \ce{N+A-} & & & & & \SetCell[c=4]{c} \ce{N^-C+} & & & \\
\cline{2-5} \cline{7-10}
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\end{longtblr}

\clearpage
\begin{longtblr}[caption={Distances ($d$, in \si{\angstrom}) between $>$\ce{N+=O} and \ce{A-} (left, measured as the distance between the nitrogen and the boron of \ce{A-}) and between \ce{N-O-} and \ce{C+} (right, measured as the distance between the oxygen and the nitrogen of \ce{C+}) toghether with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}) in two different cases: in front of the methyls ($f$, near the redox center) and behind the methyls ($b$, near the substituent), as computed at the $\omega$B97X-D/6-311+G(d) level in acetonitrile (SMD), with $[\ce{X}]=\SI{0}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]X[c]X[c]cX[c]X[c]X[c]X[c]}, width = \linewidth,rowhead=2}
\begin{longtblr}[caption={Distances ($d$, in \si{\angstrom}) between $>$\ce{N+=O} and \ce{A-} (left, measured as the distance between the nitrogen and the boron of \ce{A-}) and between \ce{N-O-} and \ce{C+} (right, measured as the distance between the oxygen and the nitrogen of \ce{C+}) together with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}) in two different cases: in front of the methyls ($f$, near the redox center) and behind the methyls ($b$, near the substituent), as computed at the $\omega$B97X-D/6-311+G(d) level in acetonitrile (SMD), with $[\ce{X}]=\SI{0}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]X[c]X[c]cX[c]X[c]X[c]X[c]}, width = \linewidth,rowhead=2}
\hline
& \SetCell[c=4]{c} \ce{N+A-} & & & & & \SetCell[c=4]{c} \ce{N^-C+} & & & \\
\cline{2-5} \cline{7-10}
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\clearpage

\begin{longtblr}[caption={Radii ($a$, in \si{\angstrom}) of the ion-pair for the 3 oxidation states of the nitroxides, toghether with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}), as computed at the $\omega$B97X-D/6-311+G(d) level in water (SMD), with $[\ce{X}]=\SI{1}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]cX[c]X[c]cX[c]X[c]}, width =\linewidth,rowhead=2}
\begin{longtblr}[caption={Radii ($a$, in \si{\angstrom}) of the ion-pair for the 3 oxidation states of the nitroxides, together with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}), as computed at the $\omega$B97X-D/6-311+G(d) level in water (SMD), with $[\ce{X}]=\SI{1}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]cX[c]X[c]cX[c]X[c]}, width =\linewidth,rowhead=2}
\hline
& \SetCell[c=2]{c} \ce{N+ + A- <=> N+A-} & & & \SetCell[c=2]{c} \ce{N^. + C+ <=> N^.C^+} & & & \SetCell[c=2]{c} \ce{N- + C+ <=> N-C+} & \\
& \SetCell[c=2]{c} \ce{N+ + A- <=> N+A-} & & & \SetCell[c=2]{c} \ce{N^. + C+ <=> N^.C^+} & & & \SetCell[c=2]{c} \ce{N- + C+ <=> N^-C+} & \\
\cline{2-3} \cline{5-6} \cline{8-9}
& $a_{\ce{N+A-}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^.C+}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^-C+}}$ & $\Delta{G}_{cplx}^\star$\\
\hline
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\end{longtblr}

\clearpage
\begin{longtblr}[caption={Radii ($a$, in \si{\angstrom}) of the ion-pair for the 3 oxidation states of the nitroxides, toghether with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}), as computed at the $\omega$B97X-D/6-311+G(d) level in acetonitrile (SMD), with $[\ce{X}]=\SI{1}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]cX[c]X[c]cX[c]X[c]}, width =\linewidth,rowhead=2}
\begin{longtblr}[caption={Radii ($a$, in \si{\angstrom}) of the ion-pair for the 3 oxidation states of the nitroxides, together with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}), as computed at the $\omega$B97X-D/6-311+G(d) level in acetonitrile (SMD), with $[\ce{X}]=\SI{1}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]cX[c]X[c]cX[c]X[c]}, width =\linewidth,rowhead=2}
\hline
& \SetCell[c=2]{c} \ce{N+ + A- <=> N+A-} & & & \SetCell[c=2]{c} \ce{N^. + C+ <=> N^.C^+} & & & \SetCell[c=2]{c} \ce{N- + C+ <=> N-C+} & \\
& \SetCell[c=2]{c} \ce{N+ + A- <=> N+A-} & & & \SetCell[c=2]{c} \ce{N^. + C+ <=> N^.C^+} & & & \SetCell[c=2]{c} \ce{N- + C+ <=> N^-C+} & \\
\cline{2-3} \cline{5-6} \cline{8-9}
& $a_{\ce{N+A-}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^.C+}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^-C+}}$ & $\Delta{G}_{cplx}^\star$\\
\hline
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\clearpage
\begin{longtblr}[caption={Radii ($a$, in \si{\angstrom}) of the ion-pair for the 3 oxidation states of the nitroxides, toghether with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}), as computed at the $\omega$B97X-D/6-311+G(d) level in water (SMD), with $[\ce{X}]=\SI{1}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]cX[c]X[c]cX[c]X[c]}, width =\linewidth,rowhead=2}
\hline
& \SetCell[c=2]{c} \ce{N+ + A- + C+ <=> N+AC} & & & \SetCell[c=2]{c} \ce{N^. + A- + C+ <=> N^.AC} & & & \SetCell[c=2]{c} \ce{N- + A- + C+ <=> N-AC} & \\
& \SetCell[c=2]{c} \ce{N+ + A- + C+ <=> N+AC} & & & \SetCell[c=2]{c} \ce{N^. + A- + C+ <=> N^.AC} & & & \SetCell[c=2]{c} \ce{N- + A- + C+ <=> N^-AC} & \\
\cline{2-3} \cline{5-6} \cline{8-9}
& $a_{\ce{N+AC}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^.AC}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^-AC}}$ & $\Delta{G}_{cplx}^\star$\\
\hline
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\clearpage
\begin{longtblr}[caption={Radii ($a$, in \si{\angstrom}) of the ion-pair for the 3 oxidation states of the nitroxides, toghether with their corresponding Gibbs free energy of complexation ($\Delta G^\star_{cplx}$, in \si{\kilo\joule\per\mole}), as computed at the $\omega$B97X-D/6-311+G(d) level in acetonitrile (SMD), with $[\ce{X}]=\SI{1}{\mole\per\liter}$.}]{colspec={>{\bfseries}lX[c]X[c]cX[c]X[c]cX[c]X[c]}, width =\linewidth,rowhead=2}
\hline
& \SetCell[c=2]{c} \ce{N+ + A- + C+ <=> N+AC} & & & \SetCell[c=2]{c} \ce{N^. + A- + C+ <=> N^.AC} & & & \SetCell[c=2]{c} \ce{N- + A- + C+ <=> N-AC} & \\
& \SetCell[c=2]{c} \ce{N+ + A- + C+ <=> N+AC} & & & \SetCell[c=2]{c} \ce{N^. + A- + C+ <=> N^.AC} & & & \SetCell[c=2]{c} \ce{N- + A- + C+ <=> N^-AC} & \\
\cline{2-3} \cline{5-6} \cline{8-9}
& $a_{\ce{N+AC}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^.AC}}$ & $\Delta{G}_{cplx}^\star$ & & $a_{\ce{N^-AC}}$ & $\Delta{G}_{cplx}^\star$\\
\hline
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\end{longtblr}

\clearpage
\begin{longtblr}[caption={Litterature experimental $E^0_{rel}(\ce{N+}|\ce{N^.})$ (in \si{\milli\volt} vs SHE), measured in water and acetonitrile. When two values reported, the first one is used in the regressions and discussions.},
\begin{longtblr}[caption={Litterature experimental $E^0_{rel}(\ce{N+}|\ce{N^.})$ (in \si{\milli\volt} vs SHE), measured in water and acetonitrile. When two values are reported, the first one is used in the regressions and discussions.},
note{a} = {From Ref.~\citenum{goldsteinStructureActivityRelationship2006}.},
note{b} = {From Ref.~\citenum{morrisChemicalElectrochemicalReduction1991}, converted from SCE to SHE with +\SI{244}{\milli\volt} \cite{pavlishchukConversionConstantsRedox2000}.},
note{c}={From Ref.~\citenum{blincoExperimentalTheoreticalStudies2008}.},
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\begin{figure}[!h]
\centering
\includegraphics[width=.75\linewidth]{FigureS7}
\caption{Comparison between experimental ($E^0_{rel} $ vs SHE, from Table \ref{tab:exp}) and calculated relative oxidation potential ($E^f_{rel}$ vs SHE) in water (top) and acetonitrile (bottom) as computed at the $\omega$B97X-D/6-311+G(d) level using SMD, and no correction due to DH or pair formation. The dashed line is a linear regression.}
\caption{Comparison between experimental ($E^0_{rel} $ vs SHE, from Table \ref{tab:exp}) and calculated relative oxidation potential ($E^f_{rel}$ vs SHE) in water (top) and acetonitrile (bottom) as computed at the $\omega$B97X-D/6-311+G(d) level using SMD, but \textbf{without} correction due to DH or ion-pair formation. The dashed line is a linear regression.}
\label{fig:expvstheo}
\end{figure}

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