From c62ae392bee0d6b6f7bad1caf0842aef36cdd526 Mon Sep 17 00:00:00 2001
From: "T. van der Sar" <t.vandersar@tudelft.nl>
Date: Sun, 22 Mar 2020 21:52:56 +0000
Subject: [PATCH] Update 11_nearly_free_electron_model.md - typo

---
 src/11_nearly_free_electron_model.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/11_nearly_free_electron_model.md b/src/11_nearly_free_electron_model.md
index d55e195a..e4c17da6 100644
--- a/src/11_nearly_free_electron_model.md
+++ b/src/11_nearly_free_electron_model.md
@@ -135,7 +135,7 @@ where we have used that $k'-k =2\pi/a$ because we are analyzing the first crossi
 
 Everything we did can also be applied to the higher-energy crossings seen in the figure above. We note that all crossings occur between parabola's that are shifted by integer multiples of reciprocal lattice vectors $n 2\pi/a$. The first crossing corresponds to $n=1$, and we found that the magnitude of the gap is given by $V_1$. Similarly, $V_2$ determines the gap between the second and third bands, $V_3$ for the crossing between third and fourth, etc.
 
-The key conclusion is that the Fourier components of the lattice potential couple plane-wave states that differ by integer multiples of reciprocal lattice vectors. The coupling alters the band structure most strongly where the free-electron eigenenergies cross.  
+The key conclusion is that the lattice potential couples plane-wave states that differ by integer multiples of reciprocal lattice vectors. This coupling alters the band structure most strongly where the free-electron eigenenergies cross, opening up gaps determined by the Fourier components of the lattice potential.  
 
 ### Repeated vs reduced vs extended Brillouin zone
 
-- 
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