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Table of Contents: 00:09 Lecture 2.3: Electron Density of States 00:33 Electrons in Metals 02:04 Parabolic Electron Bands 03:53 Parabolic Energy 06:48 Number of Electron States 08:45 Density of Energy States 12:15 Density of States: Effect of Dimensionality 15:05 Electron Density of States of Carbon Nanotubes This video is part of the nanoHUB-U course "Thermal Energy at the Nanoscale" (http://nanohub.org/courses/te) Thermal Energy at the Nanoscale, taught by Tim Fisher, is a five-week online course that develops a unified framework for understanding essential physics of nanoscale thermal energy and its important applications, trends, and directions. The course is designed to present this in a way that is accessible with only a very basic knowledge of heat transfer. The course will present an understanding of the fundamental elements of solid-state physics relevant to thermal transport, develop skills to derive continuum physical properties from sub-continuum principles, and apply statistical and physical principles to describe thermal energy transport in modern small-scale materials and devices.