Embee Diamond, diamond recut, re-cut, repair, re-polish, restoration, fix my diamond, AGS Laboratories, American Gem Society, Canadian Diamond, Master Diamond Cutter, Esperanza, Triolette, Mike Botha, Michiel Botha, Prince Albert, Saskatchewan, United States of America, Canada, North America, USA, Ideal, Triple Zero Alabama, Alaska, Arizona, Arkansas, California, Colorado, Connecticut, Delaware, District of Columbia, Florida, Georgia, Hawaii, Idaho, Illinois, Indiana, Iowa, Kansas, Kentucky, Louisiana, Maine, Maryland, Massachusetts, Michigan, Minnesota, Mississippi, Missouri, Montana, Nebraska, Nevada, New Hampshire, New Jersey, New Mexico, New York, North Carolina, North Dakota, Ohio, Oklahoma, Oregon, Pennsylvania, Rhode Island, South Carolina, South Dakota, Tennessee, Texas, Utah, Vermont, Virginia, Washington, West Virginia, Wisconsin, Wyoming diamonds, diamond cutting, engagement rings, engagement diamonds, diamond, diamond buying, diamond lapidary, diamond repairs, diamond facets , GIA, AGS, AGS Laboratories, Diamond Bourse of Canada, Responsible Jewellery Council, Jewelers of America, American Gem Society, AGS Guild, Canadian Diamond, diamond re-cut, diamond re-polish, cut grade, triple zero, ideal cut, Sirius Star Diamond, American Star, Product of Canada, Made in Canada
Diamond Crystallography – Cube Analysis

Sep 23rd, 2015

Diamond Crystallography – Cube Analysis

Diamonds crystallize in the tetrahedral system which is a sub system to the main cubic system. To better understand the crystal structure of diamonds I am going to start by analyzing the cube. So let us put the cube through its mathematical paces. Here is a standard 100 mm cube that we are going to use in this experiment.

 

Next let us bisect the cube diagonally as in the following image

.

 

Following are the dimensions of the bisected plane, calculated as follows:

100 ÷45 sin = 141.4213562373095.

 

 

Now, let us look at the bisected plane facing us and do some more calculations.ө = 100 ÷ 141.42 inv tan = 35.26438968275465°.

 

Now we are able to do some deductions. If ϴ is 35.26438968275465°, then the obtuse angle of the bottom triangle would be 180° – (2 x 35.26438968275465°)  = 109.4712206344907° rounded to 109.47°. This is exactly the angle of any three adjoining diamond atoms. The view below is of the 110 orientation as we bisected the cube on the 110 plane.


Next, let us take the second triangle with its apex on the top center of our rectangle then we can deduce the following: 180° – 109.47° = 70.53°

 

 

The two base angles of this triangle are 180° – 70.53 ÷ 2 = 54.735. Also, by extension still within the same rectangle we can deduce the following:

 

Conclusion.

The angles of crystal faces of a diamond in relation to each other are perfectly demonstrated as per the analysis of the cube we have just completed above.

Add a comment

Your email address will not be shared or published. Required fields are marked *

You must be logged in to post a comment.

Please wait...

Stay connected!

Subscribe to the Embee Diamonds Updates, Promotions and Newsletter Service
%d bloggers like this: