Based on the experimental data on copper metaborate single crystals obtaine
d in X-ray and neutron diffraction studies and heat capacity, magnetic susc
eptibility, and muon spin relaxation measurements, a phenomenological theor
y of the incommensurate magnetic structure of this crystal was developed. C
onsidering the space group of the crystal, I (4) over bar 2d, Lifshits inva
riants were included into its thermodynamic potential. An analysis showed t
hat magnetic structure formation at 10-20 K was dominated by the subsystem
of copper spins in 4b unit cell sites. Below 10 K, the role played by the m
agnetic subsystem of copper spins in 8d unit cell sites in the formation of
the magnetic structure of copper metaborate substantially increased. This
caused a sharp increase in the wave vector of the incommensurate structure
as temperature lowered. Numerical simulation of the temperature dependence
of the wave vector of the helix and the heat capacity of the crystal gave a
satisfactory description of the experimental data. This simulation was use
d to estimate the parameters of the phenomenological thermodynamic potentia
l of the magnetic system of copper metaborate. (C) 2001 MAIK "Nauka/Interpe
riodica".