  We calculate the s-wave scattering length and effective range and the p-wave
scattering volume for $^7$Li atoms interacting with $^{133}$Cs atoms via the
X$^1\Sigma^+_g$ molecular potential. The length and volume are found by fitting
the log-derivative of the zero energy wave function evaluated at short range to
a long range expression that accounts for the leading van der Waals dispersion
potential and then incorporating the remaining long range dispersion
contributions to first order. The effective range is evaluated from a
quadrature formula. The calculated parameters are checked from the zero energy
limits of the scattering phase shifts. We comment on ill-conditioning in the
calculated s-wave scattering length.
