A number of periodic lattices have historically been used to represent
ice-lh in computer simulations. These vary in size, shape, and method
of generation, and while they have served their intended purposes, th
eir properties have rarely been documented in detail and their interco
mpatibility is unknown. We develop a method for generating sets of int
ernally consistent lattices and apply it to determine eight unit cells
containing from 96 to 768 water molecules in both near-cubic and slab
arrangements. It can easily be applied to generate additional (larger
) cells or representations of specific crystal faces. Each unit cell i
n this set has zero net dipole moment and minimal net quadrupole momen
t and is optimized using four different criteria to measure the random
ness of the hydrogen bonding; if required, these criteria can easily b
e modified to suit the intended application and alternate sets thus ge
nerated. We find that Cota and Hoover's much used constraint for selec
ting unit cells with zero dipole moment is too restrictive, not permit
ting a fully random hydrogen-bonding network; also, unit-cell generati
on methods based on potential-energy minimization are found to prefer
unrepresentative, highly ordered structures. (C) 1997 American Institu
te of Physics.