What are lattice points in a crystal?
Lattice: A regular, periodic array of points with a spacing commensurate with the unit cell dimensions. The environment around each point in a lattice is identical. You can generate a lattice by looking at wallpaper and identifying the “repeating part” (the cell) in the wallpaper pattern. Choose any point within the “cell” and draw a dot there. Now go all over the wallpaper and draw an equivalent point in places where the environment of the first point you chose is identical (not rotated or reflected, but IDENTICAL) in all the other “cells”. The set of dots you’ve drawn represents a lattice. In the second link below, on p. 7 you will see a diagram showing all 7 possible 2-D lattices, all of which can be made “primitive” if the “repeating part” of the array is chosen to include only one point. However, in the case of ‘body-centered rectangular’, if you choose a cell (the repeating part) to include only one point per cell, the cell is not the nicely shaped and symmetrical rectangle you g
