Recognize the basic components of your calculation of the lattice site. A lattice site calculation requires definite knowledge of the various points within the geometric shape. It also requires that these points represent integers that must be considered in conjunction with the vectors of the lines that connect the points to form the geometric shape. The points, represented by the integers, are the lattice sites, while the lines between them are the bonds that hold them together, from a geometric standpoint.
Determine the known coordinates for your lattice site or for neighbor sites. Neighbor sites are those that are connected by a common bond between sites. Knowing some of these variables is helpful because this knowledge can help you to see the relationship between the various vectors and points in space. If a definite and recognizable geometric shape exists, it is simpler to calculate the vectors and integers with some data already made available to you.
Select the appropriate differential equation based on the coordinates of the lattice site. Once you've selected the proper equation, calculation generally becomes a matter of plugging the known quantities into the equation and solving for the unknown variables. However, with functions a general range of possible solutions exist. Calculate each possible set of solutions, then plug all figures into the equation to verify their accuracy.