Using the experimental value for the rate R LEP exp = Γ inv /Γ ll = 5.942±0.016, we derive constraints on the number of light neutrino species with the invisible width method in the framework of a leftright symmetric model (LRSM) and a E 6 superstring model as a function of their respective mixing angles for the neutral vector gauge bosons. Using the above LEP result we get the constraints −1.6 × 10 −3 ≤ φ ≤ 1.1 × 10 −3 and −1.3 × 10 −2 ≤ φ E 6 ≤ 0.4 × 10 −2 , which are stronger than those obtained in previous studies of these models. n E 6 f E 6 q = 37.8 , E 6 0 M M z z q = 7 1 A l l o w e d R e g i o n FIG. 3: The same as in Fig. 1, but for E 6 , with θ E 6 = 37.8 o and M Z θ = 7M Z 1 . FIG. 4: The same as in Fig. 2, but for E 6 , with θ E 6 = 37.8 o and M Z θ = 7M Z 1 .