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# How to Calculate and Solve for Hexagonal Crystals | Crystal Structures

Last Updated on January 15, 2023

The image above represents hexagonal crystals.

To compute for hexagonal crystals, two essential parameters are needed and these parameters are Miller Index (h) and Miller Index (k).

The formula for calculating hexagonal crystals:

i = -(h + k)

Where:

i = Hexagonal Crystals
h = Miller Index
k = Miller Index

Given an example;
Find the hexagonal crystals when the miller index is 22 and the miller index is 11.

This implies that;

h = Miller Index = 22
k = Miller Index = 11

i = -(h + k)
i = -(22 + 11)
i = -(33)
i = -33

Therefore, the hexagonal crystals is -33.

Calculating the Miller Index (h) when the Hexagonal Crystals and the Miller Index (k) is Given.

h = – (i + k)

Where:

h = Miller Index
i = Hexagonal Crystals
k = Miller Index

Let’s solve an example;
Find the miller index when the hexagonal crystal is 8 and the miller index is 3.

This implies that;

i = Hexagonal Crystals = 8
k = Miller Index = 3

h = – (i + k)
h = – (8 + 3)
h = – 11

Therefore, the miller index is -11.

Calculating the Miller Index (k) when the Hexagonal Crystals and the Miller Index (h) is Given.

k = -(i + h)

Where:

k = Miller Index
i = Hexagonal Crystals
h = Miller Index

Let’s solve an example;
Find the miller index when the hexagonal crystal is 5 and the miller index is 9.

This implies that;

i = Hexagonal Crystals = 5
h = Miller Index = 9

k = – (i + h)
k = – (5 + 9)
k = – 14

Therefore, the miller index is – 14.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the hexagonal crystals.

To get the answer and workings of the hexagonal crystals using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

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

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 Hexagonal Crystals under Crystal Structures

The screenshot below displays the page or activity to enter your values, to get the answer for the hexagonal crystals according to the respective parameter which is the Miller Index (h) and Miller Index (k).

Now, enter the values appropriately and accordingly for the parameters as required by the Miller Index (h) is 22 and Miller Index (k) is 11.

Finally, Click on Calculate

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