Energy Gap Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Gap = Conduction Band Energy-Valence Band Energy
Eg = Ec-Ev
This formula uses 3 Variables
Variables Used
Energy Gap - (Measured in Joule) - Energy gap in solid-state physics, an energy gap is an energy range in a solid where no electron states exist.
Conduction Band Energy - (Measured in Joule) - Conduction Band Energy is the energy band in a material where the electrons are free to move and participate in electrical conduction.
Valence Band Energy - (Measured in Joule) - Valence Band Energy is defined as the highest energy level in the valence band.
STEP 1: Convert Input(s) to Base Unit
Conduction Band Energy: 17.5 Electron-Volt --> 2.80381032750001E-18 Joule (Check conversion here)
Valence Band Energy: 17.302 Electron-Volt --> 2.77208721636601E-18 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eg = Ec-Ev --> 2.80381032750001E-18-2.77208721636601E-18
Evaluating ... ...
Eg = 3.17231111340001E-20
STEP 3: Convert Result to Output's Unit
3.17231111340001E-20 Joule -->0.198 Electron-Volt (Check conversion here)
FINAL ANSWER
0.198 Electron-Volt <-- Energy Gap
(Calculation completed in 00.004 seconds)

Credits

Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
Shobhit Dimri has created this Calculator and 900+ more calculators!
Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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20 Energy Band & Charge Carrier Calculators

Intrinsic Carrier Concentration
Go Intrinsic Carrier Concentration = sqrt(Effective Density of State in Valence Band*Effective Density of State in Conduction Band) *exp(-Energy Gap/(2*[BoltZ]*Temperature))
Carrier Lifetime
Go Carrier Lifetime = 1/(Proportionality for Recombination*(Holes Concentration in Valance Band+Electron Concentration in Conduction Band))
Energy of Electron given Coulomb's Constant
Go Energy of Electron = (Quantum Number^2*pi^2*[hP]^2)/(2*[Mass-e]*Potential Well Length^2)
Steady State Electron Concentration
Go Steady State Carrier Concentration = Electron Concentration in Conduction Band+Excess Carrier Concentration
Effective Density of State
Go Effective Density of State in Conduction Band = Electron Concentration in Conduction Band/Fermi Function
Fermi Function
Go Fermi Function = Electron Concentration in Conduction Band/Effective Density of State in Conduction Band
Concentration in Conduction Band
Go Electron Concentration in Conduction Band = Effective Density of State in Conduction Band*Fermi Function
Effective Density State in Valence Band
Go Effective Density of State in Valence Band = Holes Concentration in Valance Band/(1-Fermi Function)
Recombination Lifetime
Go Recombination Lifetime = (Proportionality for Recombination*Holes Concentration in Valance Band)^-1
Concentration of Holes in Valence Band
Go Holes Concentration in Valance Band = Effective Density of State in Valence Band*(1-Fermi Function)
Thermal Generation Rate
Go Thermal Generation = Proportionality for Recombination*(Intrinsic Carrier Concentration ^2)
Distribution Coefficient
Go Distribution Coefficient = Impurity Concentration in Solid/Impurity Concentration in Liquid
Liquid Concentration
Go Impurity Concentration in Liquid = Impurity Concentration in Solid/Distribution Coefficient
Net Rate of Change in Conduction Band
Go Proportionality for Recombination = Thermal Generation/(Intrinsic Carrier Concentration^2)
Excess Carrier Concentration
Go Excess Carrier Concentration = Optical Generation Rate*Recombination Lifetime
Optical Generation Rate
Go Optical Generation Rate = Excess Carrier Concentration/Recombination Lifetime
Photoelectron Energy
Go Photoelectron Energy = [hP]*Frequency of Incident Light
Conduction Band Energy
Go Conduction Band Energy = Energy Gap+Valence Band Energy
Valence Band Energy
Go Valence Band Energy = Conduction Band Energy-Energy Gap
Energy Gap
Go Energy Gap = Conduction Band Energy-Valence Band Energy

Energy Gap Formula

Energy Gap = Conduction Band Energy-Valence Band Energy
Eg = Ec-Ev

How is Energy Gap Formed?

Each band is formed due to the splitting of one or more atomic energy levels. Therefore, the minimum number of states in a band equals twice the number of atoms in the material.The core electrons are tightly bound to the atom and are not allowed to freely move in the material.

How to Calculate Energy Gap?

Energy Gap calculator uses Energy Gap = Conduction Band Energy-Valence Band Energy to calculate the Energy Gap, The Energy Gap formula is defined as in solid-state physics, an energy gap is an energy range in a solid where no electron states exist, i.e. an energy range where the density of states vanishes. Energy Gap is denoted by Eg symbol.

How to calculate Energy Gap using this online calculator? To use this online calculator for Energy Gap, enter Conduction Band Energy (Ec) & Valence Band Energy (Ev) and hit the calculate button. Here is how the Energy Gap calculation can be explained with given input values -> 1.2E+18 = 2.80381032750001E-18-2.77208721636601E-18.

FAQ

What is Energy Gap?
The Energy Gap formula is defined as in solid-state physics, an energy gap is an energy range in a solid where no electron states exist, i.e. an energy range where the density of states vanishes and is represented as Eg = Ec-Ev or Energy Gap = Conduction Band Energy-Valence Band Energy. Conduction Band Energy is the energy band in a material where the electrons are free to move and participate in electrical conduction & Valence Band Energy is defined as the highest energy level in the valence band.
How to calculate Energy Gap?
The Energy Gap formula is defined as in solid-state physics, an energy gap is an energy range in a solid where no electron states exist, i.e. an energy range where the density of states vanishes is calculated using Energy Gap = Conduction Band Energy-Valence Band Energy. To calculate Energy Gap, you need Conduction Band Energy (Ec) & Valence Band Energy (Ev). With our tool, you need to enter the respective value for Conduction Band Energy & Valence Band Energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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