How to Calculate and Solve for Theoretical Density of Metals | Crystal Structures
Last Updated on January 15, 2023
The image above represents theoretical density of metals.
To compute for theoretical density of metals, four essential parameters are needed and these parameters are Number of Atoms Associated in the Cell (n), Atomic Weight (A), Volume of Unit Cell (Vc) and Avogadro’s Number (NA).
The formula for calculating theoretical density of metals:
ρ = nA/VcNA
Where:
ρ = Theoretical Denity of the Metal
n = Number of Atoms Associated in the Cell
A = Atomic Weight
Vc = Volume of Unit Cell
NA = Avogadro’s Number
Let’s solve an example;
Find the theoretical density of the metal when the number of atoms associated in the cell is 3, the atomic weight is 6, the volume of unit cell is 2 and the avogadro’s number is 6.022e+24.
This implies that;
n = Number of Atoms Associated in the Cell = 3
A = Atomic Weight = 6
Vc = Volume of Unit Cell = 2
NA = Avogadro’s Number = 6.022e+24
ρ = nA/VcNA
ρ = (3)(6)/(2)(6.0221e+23)
ρ = (18)/(1.20442e+24)
ρ = 1.49
Therefore, the theoretical density of metals is 1.49 m.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the theoretical density of metals.
To get the answer and workings of the theoretical density of metals 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 Crystal Structures under Materials and Metallurgical
Now, Click on Theoretical Density of Metals under Crystal Structures
The screenshot below displays the page or activity to enter your values, to get the answer for the theoretical density of metals according to the respective parameter which is the Number of Atoms Associated in the Cell (n), Atomic Weight (A), Volume of Unit Cell (Vc) and Avogadro’s Number (NA).
Now, enter the values appropriately and accordingly for the parameters as required by the Number of Atoms Associated in the Cell (n) is 3, Atomic Weight (A) is 6, Volume of Unit Cell (Vc) is 2 and Avogadro’s Number (NA) is 6.022e+24.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the theoretical density of metals and presents the formula, workings and steps too.
