Indeed, the set of lattice vectors that solve the system of congruences for , some natural numbers , and some lattice vectors , together with an additional system of equations for and some lattice vectors , can be written as where is the matrix with rows , and is the diagonal matrix ...
translational vectors, The parallelepiped defined by the three vectors (V=a 1 ·a 2 ×a 3 ) is called the primitive cell or primitive unit cell. 4 Primitive lattice cells -Primitive vectors and primitive cells are not unique. - All primitive cells have the ...
This is analogous to how, in undergraduate mathematics and physics, vectors in Euclidean space are often depicted as arrows of a given magnitude and direction, with the initial and final points of this arrow being of secondary importance only. (Indeed, this depiction of vectors in a vector spac...