Schottky Defect Concentration Calculator

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✖Number of atomic sites per cubic metre.ⓘ Number of atomic sites [N]			+10% -10%
✖Activation energy for Schottky formation represents the energy needed for the formation of Schottky defect.ⓘ Activation energy for Schottky formation [Q_s]			+10% -10%
✖Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joulekelvin−1mole−1.ⓘ Universal Gas Constant [R]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Number of Schottky Defects represents the equilibrium number of Schottky defects per cubic metre.ⓘ Schottky Defect Concentration [N_S]

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Formula

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Schottky Defect Concentration

Formula

`"N"_{"S"} = "N"*exp(-"Q"_{"s"}/(2*"R"*"T"))`

Example

`"8E^28"="8.0E28"*exp(-"2.6eV"/(2*"8.314"*"85K"))`

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Schottky Defect Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))
N_S = N*exp(-Q_s/(2*R*T))
This formula uses 1 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Number of Schottky Defects - Number of Schottky Defects represents the equilibrium number of Schottky defects per cubic metre.
Number of atomic sites - Number of atomic sites per cubic metre.
Activation energy for Schottky formation - (Measured in Joule) - Activation energy for Schottky formation represents the energy needed for the formation of Schottky defect.
Universal Gas Constant - Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Number of atomic sites: 8E+28 --> No Conversion Required
Activation energy for Schottky formation: 2.6 Electron-Volt --> 4.16566105800002E-19 Joule (Check conversion here)
Universal Gas Constant: 8.314 --> No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_S = N*exp(-Q_s/(2*R*T)) --> 8E+28*exp(-4.16566105800002E-19/(2*8.314*85))

Evaluating ... ...

N_S = 8E+28

STEP 3: Convert Result to Output's Unit

8E+28 --> No Conversion Required

FINAL ANSWER

8E+28 <-- Number of Schottky Defects

(Calculation completed in 00.004 seconds)

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< 10+ Ceramics and Composites Calculators

Young's Modulus of composite in transverse direction

Go Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite)

Longitudinal strength of discontinuous fiber-reinforced composite

Go Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber)

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)

Go Longitudinal strength of composite(discontinous fiber less than lc) = (Volume Fraction of Fiber*Fiber length*Critical Shear Stress/Fiber Diameter)+Stress in Matrix*(1-Volume Fraction of Fiber)

Young's Modulus of composite in longitudinal direction

Go Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber

Young's Modulus of porous material

Go Young's modulus of porous material = Young's modulus of non-porous material*(1-(0.019*Volume Percent of Porosity)+(0.00009*Volume Percent of Porosity*Volume Percent of Porosity))

Schottky Defect Concentration

Go Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))

Longitudinal Strength of Composite

Go Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber

Percent ionic character

Go Percent Ionic Character = 100*(1-exp(-0.25*(Electronegativity of element A-Electronegativity of element B)^2))

Critical Fiber Length

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Young's Modulus from shear modulus

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Schottky Defect Concentration Formula

Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))
N_S = N*exp(-Q_s/(2*R*T))

Schottky Defects

Schottky Defects might be thought of as being created by removing one cation and one anion from the interior of the crystal and then placing them both at an external surface. Since both cations and anions have the same charge, and since for every anion vacancy there exists a cation vacancy, the charge neutrality of the crystal is maintained.

How to Calculate Schottky Defect Concentration?

Schottky Defect Concentration calculator uses Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature)) to calculate the Number of Schottky Defects, Schottky Defect Concentration is the equilibrium number of Schottkey defects per cubic metre. Number of Schottky Defects is denoted by N_S symbol.

How to calculate Schottky Defect Concentration using this online calculator? To use this online calculator for Schottky Defect Concentration, enter Number of atomic sites (N), Activation energy for Schottky formation (Q_s), Universal Gas Constant (R) & Temperature (T) and hit the calculate button. Here is how the Schottky Defect Concentration calculation can be explained with given input values -> 8E+28 = 8E+28*exp(-4.16566105800002E-19/(2*8.314*85)).

FAQ

What is Schottky Defect Concentration?

Schottky Defect Concentration is the equilibrium number of Schottkey defects per cubic metre and is represented as N_S = N*exp(-Q_s/(2*R*T)) or Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature)). Number of atomic sites per cubic metre, Activation energy for Schottky formation represents the energy needed for the formation of Schottky defect, Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1 & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Schottky Defect Concentration?

Schottky Defect Concentration is the equilibrium number of Schottkey defects per cubic metre is calculated using Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature)). To calculate Schottky Defect Concentration, you need Number of atomic sites (N), Activation energy for Schottky formation (Q_s), Universal Gas Constant (R) & Temperature (T). With our tool, you need to enter the respective value for Number of atomic sites, Activation energy for Schottky formation, Universal Gas Constant & Temperature 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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