Based on the nature of your question, I recomend you to read the presentation on attached link. I think it covers the basics about HR-TEM and electron crystallography...

I also recomend to read one of the standard books (e.g. Williams & Carter) to get more insight about the physics behind the TEM. It will be of big help.

https://nanohub.org/resources/9137/download/Directions_Miller_indices.pdf

Dear colleague Diman M .A,

Have a nice time and good day.

I had attached one file contains a simple example teach you how to calculate Miller index from TEM image and ASTM card of XRD.

I wish this is useful and help you.

Yours

A. EL-Denglawey

Thank you for help me with best wishes