Good Morning all,

I subscribe to livescience.com and today found a very interesting

article about the unique crystal structure of Diamonds.

Hugs,

Terrie

Diamond’s Structural Secrets Revealed

By Andrea Thompson

Sure, diamonds are shiny and sparkly, but their beauty may

ultimately come from their unique crystal structure, one

mathematician says.

Toshikazu Sunada, of Japan’s Meiji University, conducted a

mathematical analysis of the crystal structure of diamond and

found that it has certain special properties, especially in its

symmetry.

In a crystal, atoms are packed in ordered, repeating patterns,

with the bonds between them holding them tightly together.

Crystals can be represented in models by points (representing

the atoms) connected by lines, or edges in particular patterns.

Two main patterns emerge in crystals: the pattern of edges

connecting the points (or of the bonds between atoms) and the

pattern of a network of connected edges and vertices that

repeats throughout the crystal.

Diamonds have two key properties that distinguish them from

other crystals. One is called "maximal symmetry"while other

crystals can be deformed in models to make them more symmetric,

diamond cannot.

Diamond also has a property similar to circles and spheres,

which look the same no matter which way you rotate them.

Similarly, a diamond crystal looks the same when viewed from the

direction of any edge.

Sunada discovered that out of an infinite universe of

mathematical crystals, only one other shares these two

properties with diamond, a theoretical model Sunada calls the

"K_4 crystal."

“The K_4 crystal looks no less beautiful than the diamond

crystal,” Sunada said, adding that though it is only theoretical

now, it could one day be found in nature or created.