How to Calculate and Solve for Schottky Defect | Ceramics
Last Updated on March 30, 2024
The image above represents schottky defect.
To compute for schottky defect, four essential parameters are needed and these parameters are N, Activation energy (Qs), Boltzmann’s Constant (K) and Temperature (T).
The Formula for Calculating Schottky Defect
Ns = N exp (-Qs/2KT)
Where:
Qs = Activation Energy
K = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the schottky defect when the activation energy is 44, N is 22, boltzmann’s constant is 1.38064852E-23 and the temperature is 30.
This implies that;
N = 22
Qs = Activation Energy = 44
K = Boltzmann’s Constant = 1.38054852E-23
T = Temperature = 30
Ns = N exp (-Qs/2KT)
So, Ns = (22)exp(-(44)/2(1.38064852e-23)(30))
Ns = (22)exp((-44)/(8.283891119e-22))
Ns = (22)exp(-5.3115135583771414e+22)
That is, Ns = (22)(0)
Ns = 0
Therefore, the schottky defect is 0.
Calculating the N when the Schottky Defect, the Activation Energy, the Boltzmann’s Constant and the Temperature are Given
N = Ns / e (-Qs / 2KT)
Where;
Ns = Schottky Defect
Qs = Activation Energy
K = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the N when the schottky defect is 40, the activation energy is 24, the boltzmann’s constant is 1.38064852E-23 and the temperature is 10.
This implies that;
Ns = Schottky Defect = 40
Qs = Activation Energy = 24
K = Boltzmann’s Constant = 1.38064852E-23
T = Temperature = 10
N = Ns / e (-Qs / 2KT)
N = 40 / e (-24 / 2 x 1.38064852E-23 x 10)
So, N = 40 / e (-24 / 2.76129704E+23)
N = 40 / e (8.691567e-23)
That is, N = 40 / 8.691567e+23
N = 4.602e-23
Therefore, the N is 4.602e-23.
Read more: How to Calculate and Solve for Frenkel Defect | Ceramics
Calculating the Activation Energy when the Schottky Defect, the Boltzmann’s Constant, the Temperature and N are Given
Qs = – (In (Ns / N) x 2KT)
Where;
Qs = Activation Energy
Ns = Schottky Defect
K = Boltzmann’s Constant
T = Temperature
Let’s solve an example;
Find the activation energy when the schottky defect is 25, the boltzmann’s Constant is 1.38064852E-23, the temperature is 10 and N is 5.
This implies that;
Ns = Schottky Defect = 25
K = Boltzmann’s Constant = 1.38064852e-23
T = Temperature = 10
N = 5
Qs = – (In (Ns / N) x 2KT)
Qs = – (In (25 / 5) x 2 x 1.38064852e-23 x 10)
That is, Qs = – (In (5) x 2.76129704e+23)
Qs = – (In 1.38064852e+24)
Qs = – 55.584
Therefore, the activation energy is – 55.584.
Calculating the Temperature when the Schottky Defect, the Activation Energy, Boltzmann’s Constant and N are Given
T = – Qs / In (Ns / N) x 1 / 2K
Where;
T = Temperature
Qs = Activation Energy
Ns = Schottky Defect
K = Boltzmann’s Constant
Let’s solve an example;
Find the temperature when the activation energy is 44, the schottky defect is 32, the boltzmann’s constant is 1.38064852e-23 and N is 8.
This implies that;
Qs = Activation Energy = 44
Ns = Schottky Defect = 32
K = Boltzmann’s Constant = 1.38064852e-23
N = 8
T = – Qs / In (Ns / N) x 1 / 2K
T = – 44 / In (32 / 8) x 1 / 2 x 1.38064852e-23
So, T = – 44 / In (4) x 1 / 2.76129704e+23
T = – 44 / 1.38629 x 3.6214e-24
Then, T = – 31.739 x 3.6214e-24
T = 1.14939e+23
Therefore, the temperature is 1.14939e+23.
How to Calculate and Solve for Schottky Defect in Ceramics Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the schottky defect.
To get the answer and workings of the schottky defect using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials & Metallurgical under Engineering.
Now, Click on Ceramics under Material & Metallurgical
Now, Click on Schottky Defect under Ceramics
The screenshot below displays the page or activity to enter your values, to get the answer for the schottky defect according to the respective parameters which are the N, activation energy (Qs), Boltzmann’s Constant (K) and temperature (T).
Now, enter the values appropriately and accordingly for the parameters as required by the N is 22, activation energy (Qs) is 44, Boltzmann’s Constant (K) is 1.38064852e-23 and temperature (T) is 30.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the schottky defect and presents the formula, workings and steps too.