Engineering

How to Calculate and Solve for Diffusion Coefficient for Vacancy | Phase Transformation

Last Updated on December 12, 2022

The image above represents diffusion coefficient for vacancy.

To compute for diffusion coefficient for vacancy, four essential parameters are needed and these parameters are Constant (k2), Activation Energy for Diffusion (Qd), Boltzmann’s Constant (K) and Temperature (Kelvin) (T).

The formula for calculating diffusion coefficient for vacancy:

Vd = k2exp(-Qd/KT)

Where:

Vd = Diffusion Coefficient for Vacancy
k2 = Constant
K = Boltzmann’s Constant
T = Temperature
Qd = Activation Energy for Diffusion

Let’s solve an example;
Find the diffusion coefficient for vacancy when the constant is 12, the activation energy for diffusion is 6, the boltzmann’s constant is 1.380E-23 and the temperature is 10.

This implies that;

k2 = Constant = 12
K = Boltzmann’s Constant = 1.380E-23
T = Temperature = 10
Qd = Activation Energy for Diffusion = 6

Vd = k2exp(-Qd/KT)
Vd = (12)exp(-(6)/(1.38064852e-23)(10))
Vd = (12)exp((-6)/(1.3806485199999997e-22))
Vd = (12)exp(-4.345783820490389e+22)
Vd = (12)(0)
Vd = 0

Therefore, the diffusion coefficient for vacancy is 0 m²/s.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the diffusion coefficient for vacancy.

To get the answer and workings of the diffusion coefficient for vacancy 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 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 and Metallurgical under Engineering.

Now, Click on Phase Transformation under Materials and Metallurgical

Now, Click on Diffusion Coefficient for Vacancy under Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the diffusion coefficient for vacancy according to the respective parameter which is the Constant (k2), Activation Energy for Diffusion (Qd), Boltzmann’s Constant (K) and Temperature (Kelvin) (T).

Now, enter the values appropriately and accordingly for the parameters as required by the Constant (k2) is 12, Activation Energy for Diffusion (Qd) is 6, Boltzmann’s Constant (K) is 1.380E-23 and Temperature (Kelvin) (T) is 10.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the diffusion coefficient for vacancy and presents the formula, workings and steps too.

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