Lattice

2-D sampling and reciprocal lattice

2-D sampling and reciprocal lattice
  1. Why is reciprocal lattice used?
  2. How is reciprocal lattice constructed in direct lattice?

Why is reciprocal lattice used?

The reciprocal lattice plays a fundamental role in most analytic studies of periodic structures, particularly in the theory of diffraction. In neutron, helium and X-ray diffraction, due to the Laue conditions, the momentum difference between incoming and diffracted X-rays of a crystal is a reciprocal lattice vector.

How is reciprocal lattice constructed in direct lattice?

The reciprocal lattice can be constructed from the real lattice (Fig. 2). The x-axis has dimensions of [1/distance] and lattice spacing is 1/a. The reciprocal lattice points have been indexed as 1, 2, 3, etc., which correspond to (1) , (2), (3) 'planes' (actually points in 1D) in the real space lattice.

The baseband sampling frequency when the negative spectrum is considered
What should be the sampling frequency?What is the minimum sample frequency needed to reconstruct an analog signal?What is produced when the sampling ...
Error estimation, parameter estimation
What is estimation estimation of parameters?What is error of estimation?What are the two types of parameter estimation?What are two main sources of e...
How to implement a Basic Embedded Python block in GNU Radio flowgraph?
What are GNU Radio blocks? What are GNU Radio blocks?Many GNU Radio applications contain nothing other than a flow graph. The nodes of such a graph ...