Diamond Structure: Obtaining X-Ray Reflection Planes

[hayat]

Hi everybody...
I have a question and i hope u could help me.

Consider the diamond structure as simple cubic with 8 basis atoms. obtain the first two
planes contributing to x-ray reflection from the diamond structure.

 

[malawi_glenn]

Hi is this home work question? It looks like that, then it should be posted i homework forum, and You should also post your work done, your thougts and ideas so that you can get help.

Iam nice now since it is your first post (also a moderator will move this thread so don't make a new one), so I give you a hint:

Start with the structure factor, and you know the postion for each of those 8 atoms in Sc-lattice- Then you look after which combinations of h.k and l that gives non zero structure factor.

http://www.iucr.ac.uk/iucr-top/comm/cteach/pamphlets/9/node2.html


Now try this, and post what you got if you don't think you are making progress and then we will help you from there. Also, try to learn a bit how to post things using latex, so that things becomes clearer for us all.

See this thread:
https://www.physicsforums.com/showthread.php?t=8997

Maybe it takes about an hour to learn, but it is worth it.

Now good luck!

 

[charng]

Hello! Thank you for your question. The diamond structure is a type of crystal structure that consists of a repeating pattern of carbon atoms. In order to obtain X-ray reflection planes from this structure, we must first understand the concept of Bragg's law.

Bragg's law states that when X-rays are incident on a crystal, they will be diffracted at specific angles depending on the distance between the atomic planes in the crystal and the wavelength of the X-rays. This means that we can use X-ray diffraction to determine the structure of a crystal.

In the case of the diamond structure, we can use Bragg's law to determine the first two planes that contribute to X-ray reflection. The first plane is known as the (111) plane, which is perpendicular to the four faces of the diamond. This plane has a distance between atomic planes of 0.25nm and will diffract X-rays at an angle of 12.6 degrees. The second plane is the (220) plane, which is perpendicular to the eight edges of the diamond. This plane has a distance between atomic planes of 0.142nm and will diffract X-rays at an angle of 25.0 degrees.

To obtain these planes, we can use X-ray diffraction techniques such as powder diffraction or Laue diffraction. These methods involve directing a beam of X-rays onto a crystal and measuring the angles at which the X-rays are diffracted. By analyzing the diffraction pattern, we can determine the atomic planes present in the crystal, including the (111) and (220) planes of the diamond structure.

I hope this helps answer your question. If you have any further inquiries, please don't hesitate to ask. Keep on exploring the fascinating world of crystal structures!