model_doc/notation.tex at master · libantioch/model_doc · GitHub

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\begin{itemize}
\setlength{\itemindent}{-12pt}
\item \massfrac[i]:       mass fraction of species $i$, \nounit;
\item \mass[i]:           mass density of species $i$, homogeneous to \unit{g\,m^{-3}};
\item \Mass[i]:           mass species $i$, homogeneous to \unit{g};
\item \molarfrac[i]:      molar fraction of species $i$, \nounit;
\item \molar[i]/\conc[I]: molar density of species $i$ of name \ce{I}, homogeneous to \unit{mol\,m^{-3}};
\item \Mm[i]:             molar mass of species $i$, homogeneous to \unit{g\,mol^{-1}};
\item \fwdratecons[r]:    forward rate constant of reaction $r$, homogeneous to \unit{(m^3\,mol^{-1})^{\text{order} - 1}\,s^{-1}};\\
                            \unit{m^3\,mol^{-1}\,s^{-1}} or \unit{s^{-1}} here, only first/zeroth order reaction;
\item \bkwdratecons[r]:   backward rate constant of reaction $r$, homogeneous to \unit{(m^3\,mol^{-1})^{\text{order} - 1}\,s^{-1}};\\
                            \unit{m^3\,mol^{-1}\,s^{-1}} or \unit{s^{-1}} here, only first/zeroth order reaction;
\item \fwdrate[r]:        forward rate of reaction $r$, homogeneous to \unit{m^3\,mol^{-1}\,s^{-1}};
\item \bkwdrate[r]:       backward rate of reaction $r$, homogeneous to \unit{m^3\,mol^{-1}\,s^{-1}};
\item \Eqconst[r]:        equilibrium constant of reaction $r$, \nounit;
\item \gibbs[i]:          Gibbs free energy of species $i$, homogeneous to \unit{J\,mol^{-1}};
\item \DGibbs[r]:         Gibbs free energy of reaction $r$, homogeneous to \unit{J\,mol^{-1}};
\item \enth[i]:           enthalpy of species $i$, homogeneous to \unit{J\,mol^{-1}};
\item \Denth[r]:          enthalpy of reaction $r$, homogeneous to \unit{J\,mol^{-1}};
\item \entr[i]:           entropy of species $i$, homogeneous to \unit{J\,mol^{-1}};
\item \Dentr[r]:          entropy of reaction $r$, homogeneous to \unit{J\,mol^{-1}};
\item \chempot[i]:        chemical potential of species $i$, homogeneous to \unit{J};
\item \scoef[i,r]:        stoichiometric coefficient of species $i$ in reaction $r$, \nounit;
\item \scoefabs[i,r]:     absolute value of stoichiometric coefficient of species $i$ in reaction $r$, \nounit, this is the number
                            you see in chemical equation;
\item \sumscoef[r]:       sum of the stoichiometric coefficients for reaction $r$, \nounit;
\item \Temp[i]:           temperature of thermodynamic  phase $i$ homogeneous to \unit{K};
\item \Press[i]:          pressure of thermodynamic  phase $i$ homogeneous to \unit{Pa};
\item \Vol[i]:            volume of thermodynamic  phase $i$ homogeneous to \unit{m^3};
\item \Mol[i]:            number of mole of components of thermodynamic  phase $i$ homogeneous to \unit{mol};
\item \Mass[i]:           mass of thermodynamic  phase $i$ homogeneous to \unit{g};
\item \Gibbs[i]:          Gibbs free energy of thermodynamic phase $i$, homogeneous to \unit{J\,mol^{-1}};
\item \Enth[i]:           enthalpy of thermodynamic phase $i$, homogeneous to \unit{J\,mol^{-1}};
\item \Entr[i]:           entropy of thermodynamic phase $i$, homogeneous to \unit{J\,mol^{-1}\,K^{-1}}.
\item \specificHeat[i]:   specific heat of species $i$, homogeneous to \unit{J\,mol^{-1}\,K^{-1}} or
                                \unit{J\,kg^{-1}\,K^{-1}} depending if it is the mass or molar
                                specific heat.
\item \vis[i]:            viscosity of species $i$, homogeneous to \unit{Pa\,s}.
\item \dipole[i]:         dipole moment of species $i$, homogeneous to \unit{C\,m}.
\item \diff[i]:           bimolecular diffusion of species $i$, homogeneous to \unit{m^2\,s^{-1}}.
\item \thermcond[i]:      thermal conduction of species $i$, homogeneous to \unit{J\,m^2\,s^{-1}}.
\item \LJdepth[i]:        Lennard-Jones potential well's depth, sometimes in reduced form, that
                          is divided by Boltzmann's constant (\BoltzmannEquation)
                          homegeneous to \unit{J} and to \unit{K} when reduced.
\item \LJdia[i]:          Lennard-Jones potential diameter, homogeneous to \unit{m}.
\end{itemize}
%
\begin{tabular}{lcccc}\toprule
Quantity  & species-wise & phase-wise & reaction-wise    & unit \\\midrule
Enthalphy & \enth        & \Enth      & \Denth/\DenthZ   & \unit{J\,mol^{-1}}\\
Entropy   & \entr        & \Entr      & \Dentr/\DentrZ   & \unit{J\,mol^{-1}\,K^{-1}}\\
Gibbs free energy
          & \gibbs       & \Gibbs     & \DGibbs/\DGibbsZ & \unit{J\,mol^{-1}}\\
Chemical potential
          & \chempot     & \chempot   &                  & \unit{J\,mol^{-1}}\\\cmidrule(lr){2-2}
Absolute stoichiometric coefficient
          & \scoefabs    &            &                  & \nounit\\
Stoichiometric coefficient
          & \scoef       &            & \sumscoef\ (sum) & \nounit\\\cmidrule(lr){2-2}
Number of mole
          &              & \Mol       &                  & \unit{mol}\\
Mass      & \Mass        & \Mass      &                  & \unit{g}\\
Density of mass
          & \mass        & \mass      &                  & \unit{g\,m^{-3}}\\
Concentration
          & \conc/\conc[.]
                         & \conc/\conc[M]
                                      &                  & \unit{mol\,m^{-3}}\\
Mass fraction
          & \massfrac    &   1        &                  & \nounit\\
Molar fraction
          & \molarfrac   &   1        &                  & \nounit\\\cmidrule(lr){2-2}
Viscosity & \vis         &   \vis     &                  & \unit{Pa\,s}\\
Dipole moment
          & \dipole      &  \dipole   &                  & \unit{C\,m}\\
Diffusion & \diff        &  \diff     &                  & \unit{m^2\,s^{-1}}\\
Thermal conduction
          & \thermcond   &  \thermcond
                                      &                  & \unit{J\,m^2\,s^{-1}}\\
\multirow{2}{*}{Specific heat}
          & \multirow{2}{*}{\specificHeat}
                         &  \multirow{2}{*}{\specificHeat}
                                      &                  & \unit{J\,mol^{-1}\,K^{-1}}\\
          &              &            &                  & \unit{J\,kg^{-1}\,K^{-1}}\\\cmidrule(lr){2-2}
Lennard-Jones diameter
          & \LJdepth     &            &                  & \unit{m}\\
Lennard-Jones depth well
          & \LJdia       &            &                  & \unit{J}\\\cmidrule(lr){2-2}
Kinetic model
          &              &            &   \kinMod        & depends\\
Chemical process
          &              &            &   \chemProc      & depends\\
Forward rate constant
          &              &            &   \fwdratecons   & depends\\
Backward rate constant
          &              &            &   \bkwdratecons  & depends\\
Forward rate
          &              &            &   \fwdrate       & \unit{mol\,m^{-3}\,s^{-1}}\\
Backward rate
          &              &            &   \bkwdrate      & \unit{mol\,m^{-3}\,s^{-1}}\\
Equilibrium constant
          &              &            &   \Eqconst       & \nounit\\
\bottomrule
\end{tabular}