Can the Zee model explain the observed neutrino data?

The eigenvalues and mixing angles in the Zee model are investigated parameter independently. When we require |Δm₁₂²/Δm₂₃²|1 in order to understand the solar and atmospheric data simultaneously, the only solution is one that gives bimaximal mixing. It is pointed out that the present best-fit value of sin²2θₛₒₗₐᵣ in the Mikheyev-Smirnov-Wolfenstein large mixing angle solution cannot be explained within the framework of the Zee model, because we derive a severe constraint on the value of sin²2θₛₒₗₐᵣ, sin²2θₛₒₗₐᵣ>~1-(1/16)(Δmₛₒₗₐᵣ²/Δmₐₜₘ²)².