From 5cacf4ffaf3a9621ab536195f6469f98a420f054 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sat, 5 Sep 2026 21:55:33 +0200
Subject: Improve knowledge base

---
 source/know/concept/maxwell-relations/index.md | 14 +++++++++++---
 1 file changed, 11 insertions(+), 3 deletions(-)

(limited to 'source/know/concept/maxwell-relations/index.md')

diff --git a/source/know/concept/maxwell-relations/index.md b/source/know/concept/maxwell-relations/index.md
index 892ced1..f51acea 100644
--- a/source/know/concept/maxwell-relations/index.md
+++ b/source/know/concept/maxwell-relations/index.md
@@ -9,7 +9,7 @@ layout: "concept"
 ---
 
 The **Maxwell relations** are a useful set of relations in thermodynamics.
-They arise from the fact that the order of differentiation is irrelevant
+They arise from the fact that the ordering of differentiation is irrelevant
 for well-behaved functions (sometimes known as the *Schwarz theorem*),
 applied to the [thermodynamic potentials](/know/concept/thermodynamic-potential/).
 
@@ -54,7 +54,7 @@ $$\begin{aligned}
     = \Big( \pdv{B}{x} \Big)_y^{-1}
 \end{aligned}$$
 
-The following quantities are useful to rewrite some of the Maxwell relations:
+The following quantities can be useful to rewrite some of the Maxwell relations:
 the iso-$$P$$ thermal expansion coefficient $$\alpha$$,
 the iso-$$T$$ combressibility $$\kappa_T$$,
 the iso-$$S$$ combressibility $$\kappa_S$$,
@@ -73,6 +73,10 @@ $$\begin{gathered}
     C_P \equiv T \Big( \pdv{S}{T} \Big)_{P,N}
 \end{gathered}$$
 
+But for simplicity and brevity,
+we will not do any such rewriting in this article.
+
+
 
 ## Internal energy
 
@@ -116,6 +120,7 @@ $$\begin{gathered}
 \end{gathered}$$
 
 
+
 ## Enthalpy
 
 The following Maxwell relations can be derived
@@ -158,6 +163,7 @@ $$\begin{gathered}
 \end{gathered}$$
 
 
+
 ## Helmholtz free energy
 
 The following Maxwell relations can be derived
@@ -200,6 +206,7 @@ $$\begin{gathered}
 \end{gathered}$$
 
 
+
 ## Gibbs free energy
 
 The following Maxwell relations can be derived
@@ -242,10 +249,11 @@ $$\begin{gathered}
 \end{gathered}$$
 
 
+
 ## Landau potential
 
 The following Maxwell relations can be derived
-from the Gibbs free energy $$\Omega(T, V, \mu)$$:
+from the Landau potential $$\Omega(T, V, \mu)$$:
 
 $$\begin{gathered}
     - \mpdv{\Omega}{V}{T} =
-- 
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