% miko:type: atomic
% miko:title: Gibbs Free Energy
% miko:summary: The thermodynamic potential suited to constant temperature and pressure.
% miko:tags: thermo
% miko:difficulty: undergrad
% miko:related: entropy-second-law, partition-function, complete-thermodynamics
% miko:keywords: thermodynamic potential, equilibrium, chemical potential

\documentclass{article}
\usepackage{amsmath}
\title{Gibbs Free Energy}
\begin{document}
\maketitle

\section{Definition}

$$
G = H - TS = U + pV - TS.
$$

\section{Equilibrium Criterion}

At fixed temperature and pressure, spontaneous processes decrease $G$.
Equilibrium occurs when $G$ is minimized.

\end{document}
