From 861ef8aee740f186d88bfcc9f2c702f484dffc19 Mon Sep 17 00:00:00 2001
From: Anton Akhmerov <anton.akhmerov@gmail.com>
Date: Fri, 15 Jun 2018 14:16:05 +0000
Subject: [PATCH] use a more precise formulation
---
src/lecture_2.md | 2 +-
1 file changed, 1 insertion(+), 1 deletion(-)
diff --git a/src/lecture_2.md b/src/lecture_2.md
index e4d0bc16..e3624c9f 100644
--- a/src/lecture_2.md
+++ b/src/lecture_2.md
@@ -157,7 +157,7 @@ $$
The quantity $k_{\rm F}=\frac{2\pi}{\lambda_{\rm F}}$ is called the _Fermi wavevector_, where $\lambda_{\rm F}$ is the _Fermi wavelength_, which is typically in the order of the atomic spacing.
-For copper, the Fermi energy is ~7 eV $\rightarrow$ thermal energy of the electrons ~70 000 K ! The _Fermi velocity_ $v_{\rm F}=\frac{\hbar k_{\rm F}}{m}\approx$ 1750 km/s $\rightarrow$ electrons run with a significant fraction of the speed of light, only because lower energy states are already filled by other electrons.
+For copper, the Fermi energy is ~7 eV. It would take a temperature of $\sim 70 000$K for electrons to gain such energy through a thermal excitation! The _Fermi velocity_ $v_{\rm F}=\frac{\hbar k_{\rm F}}{m}\approx$ 1750 km/s $\rightarrow$ electrons run with a significant fraction of the speed of light, only because lower energy states are already filled by other electrons.
The total number of electrons can be expressed as $N=\frac{2}{3}\varepsilon_{\rm F}g(\varepsilon_{\rm F})$.
--
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