From ab007e3cada3b86847d0a4bd2ad37f58bdc70291 Mon Sep 17 00:00:00 2001
From: "T. van der Sar" <t.vandersar@tudelft.nl>
Date: Wed, 12 Feb 2020 11:50:27 +0000
Subject: [PATCH] Update 2_debye_model.md

---
 src/2_debye_model.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/2_debye_model.md b/src/2_debye_model.md
index c6c7e4aa..41e2f155 100644
--- a/src/2_debye_model.md
+++ b/src/2_debye_model.md
@@ -276,10 +276,10 @@ ax.legend(loc='lower right');
 ## Conclusions
 
 1. The Debye model assumes that atoms in materials move in a collective fashion, described by normal modes / sound waves with a dispersion relation $ω = v_{\rm s}|\mathbf{k}|$.
-2. The normal modes have a constant density of $(L/2Ï€)^3$ in the reciprocal space.
+2. The normal modes have a constant density of $(L/2Ï€)^3$ in $k$-space.
 3. The total energy and heat capacity are given by integrating the contribution of the individual modes over $k$-space.
 4. The density of states $g(ω)$ counts the number of modes per unit frequency. $g(ω)$ is proportional to $ω^2$ for 3D bosons with a dispersion relation $ω = v_{\rm s}|\mathbf{k}|$.
-5. At low temperatures the phonon heat capacity is $∼T^3$.
+5. At low temperatures the phonon heat capacity is $\propto T^3$.
 
 
 ## Exercises
-- 
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