  Let $G$ be a simple algebraic group of classical type over an algebraically
closed field $k$. Let $P$ be a parabolic subgroup of $G$ and let $\p = \Lie P$
be the Lie algebra of $P$ with Levi decomposition $\p = {\l}\oplus \u$, where
$\u$ is the Lie algebra of the unipotent radical of $P$ and $\l$ is a Levi
complement. Thanks to a fundamental theorem of R. W. Richardson, $P$ acts on
$\u$ with an open dense orbit; this orbit is called the {\em Richardson orbit}
and its elements are called {\em Richardson elements}. Recently, the first
author gave constructions of Richardson elements in the case $k = \C$ for many
parabolic subgroups $P$ of $G$. In this note, we observe that these
constructions remain valid for any algebraically closed field $k$ of
characteristic not equal to 2 and we give constructions of Richardson elements
for the remaining parabolic subgroups.
