Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Effective mass (solid-state physics)

In solid state physics, a particle's effective mass (often denoted m ∗ {\textstyle m^{*}} ) is the mass that it seems to have when responding to forces, or the mass that it seems to have when interacting with other identical particles in a thermal distribution. One of the results from the band theory of solids is that the movement of particles in a…

Music & Art

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Export map as:

Research this topic

Explore the main themes, entities and connections around Effective mass (solid-state physics). Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

General case

Newton's second law Crystal momentum Reduced Planck constant Group velocity Del operator

20 related topics

Significance

Thermoelectric materials Seebeck coefficient III Gallium arsenide Indium antimonide

16 related topics

Determination

Band structures Angle-resolved photoemission spectroscopy ARPES De Haas–van Alphen effect Specific heat

13 related topics

Intermediate case: parabolic, anisotropic dispersion relation

Ellipsoids Valleys Geometric mean Harmonic mean Carrier mobility

5 related topics

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Solid state physics
Mass
Thermal distribution Maxwell–Boltzmann distribution
Band theory
Vacuum
Free particle
Electrons Electron
Electron holes Electron hole
Rest mass of an electron Electron rest mass
Heavy fermion materials Heavy fermion material
Graphene

Simple case: parabolic, isotropic dispersion relation

Intermediate case: parabolic, anisotropic dispersion relation

Ellipsoids Ellipsoid
Valleys Valley (solid-state physics)?action=edit&redlink=1
Geometric mean
Harmonic mean
Carrier mobility

General case

Newton's second law
Crystal momentum
Reduced Planck constant
Group velocity
Del operator
Reciprocal space
The chain rule for a total derivative for a quantity with indirect dependencies Total derivative
Dot product rule Vector calculus identities
Hessian matrix
Charged particle
Magnetic flux density
Cyclotron motion
Cyclotron resonance Electron cyclotron resonance
De Haas–Van Alphen effect
Fermi level
Two-dimensional electron gases Two-dimensional electron gas
Fermi–Dirac statistics
Maxwell–Boltzmann statistics
Density of states
Thermal expansion

Determination

Band structures Band structure
Angle-resolved photoemission spectroscopy
ARPES
De Haas–van Alphen effect
Specific heat
Heavy fermion
Mobility Electron mobility
Optical Hall effect Optical Hall effect?action=edit&redlink=1
Charge carrier density
Density functional theory
K·p perturbation theory
Others Electronic band structure
Ab initio

Significance

Thermoelectric materials
Seebeck coefficient
III Group 13 elements
Gallium arsenide
Indium antimonide
Tetrahedral Tetrahedral molecular geometry
Group IV Carbon group
Silicon
Germanium
Electronic charge Elementary charge
Integrated circuits Integrated circuit
Bandwidth Bandwidth (signal processing)
Cellular telephony
Washington State University
Bose–Einstein condensate
Dispersion relation

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Effective mass (solid-state physics)

Nodes76

Edges75

Triples5

Avg. degree1.97

Density0.026316

Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

effective mass band materials masses used density electron states electrons different general magnetic particle depends parabolic semiconductors energy force carrier

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
the Drude model must be replaced with the effective mass.One remarkable property is that the effective mass can become negative	instance of	the electron mass in models	0.80	text
when the band curves downwards away from a maximum	instance of	the electron mass in models	0.80	text
conductivity appear to be isotropic	instance of	in crystals such as silicon the overall properties	0.80	text
angle-resolved photoemission spectroscopy	instance of	In recent years effective masses have more commonly been determined through measurement of band structures using techniques	0.80	text
gallium arsenide	instance of	V compounds	0.80	text

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

Connections between topic areas Semantic bridges

Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

Min side: 3

For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.