This paper reports a theoretical investigation of the perpendicular ma
gnetic susceptibility of a tenorite (CuO) single crystal at absolute z
ero temperature. We present formulae for the ground state system energ
y taking into account the exchange interactions, the magnetic anisotro
py energy, and the Zeeman energy, as well as expressions for the equil
ibrium angles. Expressions for the susceptibility tensor components ar
e obtained. The magnetic susceptibility along the arbitrary direction
in (ac)-plane is a 180 degrees periodic function of the field directio
nal angle. The magnitude of the projection of the magnetization vector
on the field direction depends on the field intensity by the linear l
aw. Pm expression for the flip field is obtained, and a crude numerica
l estimate of the susceptibility is given. The correctness of the noti
on of a flip field in the molecular field approximation for the anisot
ropy energy is discussed. The susceptibility anisotropy is caused by b
oth the g-factor anisotropy and the non-Heisenberg-type exchange inter
actions. The experimental results are discussed.