From 5cab497995fc1c69545f66ad65ea191d9b18cba4 Mon Sep 17 00:00:00 2001 From: pierre-24 Date: Sun, 2 Jun 2024 19:06:19 +0200 Subject: [PATCH] further comments on Fig. 12 --- Figure12.eps | 17857 ++++++++++++++++++++++------------------ im/anion_position.odg | Bin 185386 -> 236364 bytes nitroxides.tex | 24 +- 3 files changed, 9844 insertions(+), 8037 deletions(-) diff --git a/Figure12.eps b/Figure12.eps index e039d84..16766a0 100644 --- a/Figure12.eps +++ b/Figure12.eps @@ -59,20 +59,20 @@ gs 0 0 m 19999 0 l 19999 21999 l 0 21999 l 0 0 l eoclip newpath gs pum -10958 1762 t -14.21972 14.22111 s -0 0 m 578 0 l 578 502 l 0 502 l p eoclip newpath +450 11711 t +15.1649 15.16535 s +0 0 m 758 0 l 758 381 l 0 381 l p eoclip newpath pom -10958 8901 t -8219 7139 s +450 17489 t +11495 5778 s /DeviceRGB setcolorspace << /ImageType 1 -/Width 578 -/Height 502 +/Width 758 +/Height 381 /BitsPerComponent 8 /Decode[0 1 0 1 0 1] -/ImageMatrix[578 0 0 -502 0 502] +/ImageMatrix[758 0 0 -381 0 381] 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First, the complexation equilibrium constants between the oxidized and reduced states (which bear a formal charge, except for \textbf{11}, \textbf{21}, and \textbf{35}) and a counterion are reported in Fig.~\ref{fig:Kx1} (see also Tables S4-S5 and Fig.~S6). In water and acetonirile, the equilibrium constant $K_{01}$ (between \ce{N+} and $\ce{A-}$) is approximately \num{e-4} ($\Delta G^\star \sim \SI{25}{\kilo\joule\per\mole}$), indicating unfavorability complexation. Then, on the one hand, $K_{21}$ (between \ce{N-} and $\ce{C+}$) is generally smaller (especially for members of P6O) in water, except in a few cases. This contradicts the electrostatic model for ion pair formation [Eq.~\eqref{eq:pair}], which predicts $K_{21} > K_{01}$, as it favors pairs composed of ions of similar size. In this study, \ce{NMe4+} has a larger radius (\SI{2.1}{\angstrom}) than \ce{BF4-} (\SI{1.5}{\angstrom}), the former being closer to the size of nitroxides ($>$\SI{3}{\angstrom}). On the other hand, the results in acetonitrile follow this prediction, with $K_{21} \sim \num{e-2}$. - +Next, the formation of ion pairs is addressed. First, the complexation equilibrium constants between the oxidized and reduced states (which bear a formal charge, except for \textbf{11}, \textbf{21}, and \textbf{35}) and a counterion are reported in Fig.~\ref{fig:Kx1} (see also Tables S4-S5 and Fig.~S6). In water and acetonirile, the equilibrium constant $K_{01}$ (between \ce{N+} and $\ce{A-}$) is approximately \num{e-4} ($\Delta G^\star_{cplx} \sim \SI{25}{\kilo\joule\per\mole}$), indicating unfavorability complexation. Then, on the one hand, $K_{21}$ (between \ce{N-} and $\ce{C+}$) is generally smaller (especially for members of P6O) in water, except in a few cases. This contradicts the electrostatic model for ion pair formation [Eq.~\eqref{eq:pair}], which predicts $K_{21} > K_{01}$, as it favors pairs composed of ions of similar size. In this study, \ce{NMe4+} has a larger radius (\SI{2.1}{\angstrom}) than \ce{BF4-} (\SI{1.5}{\angstrom}), the former being closer to the size of nitroxides ($>$\SI{3}{\angstrom}). On the other hand, the results in acetonitrile follow the prediction of the model, with $K_{21} \sim \num{e-2}$. \begin{figure}[!h] @@ -443,15 +442,30 @@ \subsection{Impact of the electrolytes} \label{fig:Kx1} \end{figure} -This is explained by a closer look at the geometries of the ion-pair. Taking \textbf{3} as an example (Fig.~\ref{fig:pos-anion}), it is observed that they are two possible position for the anion: near the cation ($>$\ce{N+=O}), ``in front'' of the methyls, and near the substituent, ``behind'' the methyls. While the later leads to a larger distance between the charge of the nitroxide and the one of the counterion, it is actually favored, due to the non-covalent interactions with the cycle and its substituent. \todo{what about the cation? Is there preferential positions? And trend amongs families?} Furthermore, these distances are smaller in acetonitrile, leading to a decrease of the interaction energy. +A closer examination of Fig.~\ref{fig:Kx1} reveals that compounds of the P6O family exhibit distinct behavior, particularly in terms of the interaction between the aminoxyl group and the cation. This interaction is notably weaker ($\Delta G^\star_{cplx} > \SI{40}{\kilo\joule\per\mole}$) in water compared to other families. This can be elucidated by analyzing the geometries of the ion pairs. +Firstly, it should be noted that within the P6O family, where the basic skeleton is a cyclohexane, the \ce{N+=O} group occupies an equatorial position while the \ce{N-O-} bond adopts an axial position. The presence of nearby methyl groups hinders electrostatic interaction, especially for bulky counterions. This effect is less pronounced in other families, where the skeleton prevents the oxygen from adopting such a position (particularly in IIO and APO). +Then, using compound \textbf{4} as an example (see Fig.~\ref{fig:pos-anion}), it is observed that there are two possible positions for the counterion: +\begin{inparaenum}[(i)] + \item near the redox center ($>$\ce{N-O^.}), ``in front" of the methyl groups, and + \item near the substituent, ``behind" the methyl groups. +\end{inparaenum} +The energy difference between these positions is approximately \SI{5}{\kilo\joule\per\mole}. The first position is generally favored, except for the oxammonium cation in water. In acetonitrile, however, the nitroxide-to-counterion distance is smaller due to the lower dielectric constant, which results in reduced charge screening. Consequently: +\begin{inparaenum}[(i)] + \item for the oxammonium ion, the lower charge screening in acetonitrile secludes the \ce{BF4-} from interacting with the substituent in the second position, favoring the first position, and + \item for hydroxylamine, both positions result in smaller complexation energies due to the reduced dielectric constant. +\end{inparaenum} +\todo{What about the other families?} + + \begin{figure}[!h] \centering \includegraphics[width=.7\linewidth]{Figure12} - \caption{Impact of the position of the counterion on the distance between it and the redox center, and on $\Delta G^\star_{pair}$ , using compound \textbf{4} as an example, as computed at the $\omega$B97X-D/6-311+G(d) level in water (black) and acetontrile (blue). } + \caption{Impact of the counterion position (a) or (b) on the distance between the counterion and the redox center (the nitrogen in the oxidized form, $>$\ce{N+=O}, or the oxygen in the reduced form, $>$\ce{N-O-}), and on $\Delta G^\star_{cplx}$, using compound \textbf{4} as an example. Calculations were performed at the $\omega$B97X-D/6-311+G(d) level in water (black) and acetonitrile (blue).} \label{fig:pos-anion} \end{figure} -Then, complexation to the \c{AC} pair is considered (Fig.~\ref{fig:Kx2}, Tables S6-S7). As expected, the equilibrium constants are smaller (by about four order of magnitude, $\Delta G^\star \sim \SI{50}{\kilo\joule\per\mole}$) than the ones that were previously discussed.\todo{How does that compares to \citenum{wylieImprovedPerformanceAllOrganic2019a}? Structure-activity relationships?} + +Finally, complexation to the \ce{AC} pair is considered (Fig.~\ref{fig:Kx2}, Tables S6-S7). As expected, the equilibrium constants are smaller (by about four order of magnitude, $\Delta G^\star_{cplx} \sim \SI{50}{\kilo\joule\per\mole}$) than the ones that were previously discussed.\todo{How does that compares to \citenum{wylieImprovedPerformanceAllOrganic2019a}? Structure-activity relationships?} \begin{figure}[!h]