> as lemmas

1857 in Cayley Coll. Math. Papers (1890) III. 40 Imagine now in a plane, a rectangular system of coordinates (x. y) and the whole plane divided by lines parallel to the axes at distances = 1 from each other into squares of the dimension = 1. And let the angles which do not lie on the axes of coordinates be called ‘lattice points’.

1926 Encycl. Brit. II. 832/2 A lattice point (Gitterpunkt) in space of any number of dimensions is a point with integral co-ordinates.

1936 A. H. Wilson Theory of Metals ii. 48 We assume as zero approximation that the electron is in the neighbourhood of one particular lattice point.

1955 Sci. News 35 143 The gas is usually regarded as being accommodated on the lattice of the metal by occupying positions in its interstices, rather than replacing metal atoms at some of the lattice points.

1966 C. S. Ogilvy & J. T. Anderson Excursions Number Theory x. 120 The point (20, 47), having both its coordinates integers, is called a lattice point of the plane. It is a point of intersection of a horizontal and a vertical line of the coordinate grid, or lattice.

1967 A. H. Cottrell Introd. Metall. xvii. 261 This array of lattice points is the space lattice of the crystal. It is important to notice that a lattice point is not an atomic site. In certain simple crystal structures..the pattern of atomic sites happens also to form a space lattice, but in many other structures..there is more than one atom in the motif.