  Many molecules observed in the interstellar medium are thought to result from
thermal desorption of ices. Parameters such as desorption energy and
pre-exponential frequency factor are essential to describe the desorption of
molecules. Experimental determinations of these parameters are missing for many
molecules, including those found in the interstellar medium. The objective of
this work is to expand the number of molecules for which desorption parameters
are available, by collecting and re-analysing experimental temperature
programmed desorption data that are present in the literature. Transition State
Theory (TST) is used in combination with the Redhead equation to determine
desorption parameters. Experimental data and molecular constants (e.g., mass,
moment of inertia) are collected and given as input. Using the Redhead-TST
method, the desorption parameters for 133 molecules have been determined. The
Redhead-TST method is found to provide reliable results that agree well with
desorption parameters determined with more rigorous experimental methods. The
importance of using accurately determined pre-exponential frequency factors to
simulate desorption profiles is emphasised. The large amount of data allows to
look for trends, the most important is the relationship log$_{10}$($\nu$) =
2.65ln($m$) + 8.07, where $\nu$ is the pre-exponential frequency factor and $m$
the mass of the molecule. The data collected in this work allow to model the
thermal desorption of molecules and help understand changes in chemical and
elemental composition of interstellar environments.
