Wednesday 7 March 2018

Thinking about the reciprocal lattice

I have been reading about the lattice structure for solid state physics. This was studied by Henry Bragg, born 2 miles from here, and his son Lawrence. They shone X-rays through crystal structures and interpreted the weird patterns that resulted. I was introduced to the idea of the reciprocal lattice. This is a mathematical representation of the true lattice constructed in an abstract mathematical space. I found a film that suggests that the reciprocal lattice is the X-ray diffraction pattern https://www.youtube.com/watch?v=DFFU39A3fPY. Another source says that the X-ray diffraction pattern is a MAP of the reciprocal lattice. Not sure what that means yet. So here's a thought. This is a net curtain with a lattice of threads.
Here's a diffraction pattern shot through the curtain. The implication is that the reciprocal lattice is connected to this new pattern.