  For a variety of radionuclides which decay via $\beta^{-}$ and a weak
$\beta^{+}$-channel the electron-capture (EC) is not observed yet. As the
interest of exact decay characteristica increased again, not least with the
need of reliable data for experiments on investigation of the neutrinoless
double-beta-decay, an experiment for the investigation of the $^{76}$As-EC was
performed. The first time observation of the EC of $^{76}$As by this experiment
resulted in a total branching-ratio for the EC / $\beta^{+}$-channel of
$p_\mathrm{EC} = 0.0269 \pm \left(0.0080(\mathrm{stat.}) \pm
0.0029(\mathrm{sys.}) \right)$ and $p_\mathrm{EC} = 0.0263 \pm
\left(0.0077(\mathrm{stat.}) \pm 0.0047(\mathrm{sys.}) \right)$ according to
two different methods. For the branching of this decay-channel into the first
excited- and the ground state of \gess a limit was obtained.
