  We prove the existence of a set of two-scale magnetic Wannier orbitals
w_{m,n}(r) on the infinite plane. The quantum numbers of these states are the
positions {m,n} of their centers which form a von Neumann lattice. Function
w_{00}localized at the origin has a nearly Gaussian shape of
exp(-r^2/4l^2)/sqrt(2Pi) for r < sqrt(2Pi)l,where l is the magnetic length.
This region makes a dominating contribution to the normalization integral.
Outside this region function, w_{00}(r) is small, oscillates, and falls off
with the Thouless critical exponent for magnetic orbitals, r^(-2). These
functions form a convenient basis for many electron problems.
