  We have measured the scattering timescale, $\tau$, and the scattering
spectral index, $\alpha$, for 84 single-component pulsars. Observations were
carried out with the MeerKAT telescope as part of the Thousand-Pulsar-Array
programme in the MeerTime project at frequencies between 0.895 and 1.670 GHz.
Our results give a distribution of values for $\alpha$ (defined in terms of
$\tau$ and frequency $\nu$ as $\tau\propto\nu^{-\alpha}$) for which, upon
fitting a Gaussian, we obtain a mean and standard deviation of
$\langle\alpha\rangle = 4.0 \pm 0.6$. This is due to our identification of
possible causes of inaccurate measurement of $\tau$, which, if not filtered out
of modelling results, tend to lead to underestimation of $\alpha$. The pulsars
in our sample have large dispersion measures and are therefore likely to be
distant. We find that a model using an isotropic scatter broadening function is
consistent with the data, likely due to the averaging effect of multiple
scattering screens along the line of sight. Our sample of scattering parameters
provides a strong data set upon which we can build to test more complex and
time-dependent scattering phenomena, such as extreme scattering events.
