  The Reissner-Weyl-Nordstr\"om (RWN) spacetime of a point nucleus features a
naked singularity for the empirically known nuclear charges $Ze$ and masses $M
= A(Z,N)m_{\mathrm{p}}$, where $m_{\mathrm{p}}$ is the proton mass and
$A(Z,N)\approx Z+N$ the atomic mass number, with $Z$ the number of protons and
$N$ the number of neutrons in the nucleus. The Dirac hamiltonian for a test
electron with mass $m_{\mathrm{e}}$, charge $-e$, and anomalous magnetic moment
$\mu_a (\approx - \frac{1}{4\pi}\frac{e^3}{m_{\mathrm{e}} c^2})$ in the
electrostatic RWN spacetime of such a 'naked point nucleus' is known to be
essentially self-adjoint, with a spectrum that consists of the union of the
essential spectrum $(-\infty, m_{\mathrm{e}} c^2]\cup[m_{\mathrm{e}} c^2,
\infty)$ and a discrete spectrum of infinitely many eigenvalues in the gap
$(-m_{\mathrm{e}} c^2,m_{\mathrm{e}} c^2)$, having $m_{\mathrm{e}} c^2$ as
accumulation point. In this paper the discrete spectrum is characterized in
detail for the first time, for all $Z\leq 45$ and $A$ that cover all known
isotopes. The eigenvalues are mapped one-to-one to those of the traditional
Dirac Hydrogen spectrum. Numerical evaluations that go beyond $Z=45$ into the
realm of not-yet-produced hydrogenic ions are presented, too. A list of
challenging open problems concludes this publication.
