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Comparisons are made with experimental observations1,2,3,4,5,6
A conventional statement of the Rydberg formula
$\begin{align} E_{\sf{Bohr}} = hc \mathcal{R} _{\mathbf{H}} \left( \frac{1}{ {\rm{n}} _{f}^{2} } - \frac{1}{ {\rm{n}} _{i}^{2} } \right) \end{align}$
where $\mathcal{R} _{\mathbf{H}}$ is the Rydberg number for hydrogen
So the models work by requiring that
$\begin{align} hc \mathcal{R} _{\mathbf{H}} = 2 \left| \, H_{chem}^{\mathcal{A}} \vphantom{{H_{chem}^{\large{\gamma}}}^{9}} \right| \end{align}$
This condition is obtained from the distribution of electrochemical quarks, which in the case of atomic hydrogen, is that there are eight quarks of each type. Other conditions and distributions are used to represent observations of atomic bonds, isotopes and hydrogenic atoms.
${\mathcal{R}}_{\mathrm{H}}$ is the Rydberg number for hydrogen, given7 by
$\begin{align} {\mathcal{R}}_{\mathrm{H}} \equiv {\mathcal{R}}_{\infty} \frac{m_{\sf{p}}}{m_{\sf{p}} + m_{\sf{e}}} \end{align}$
where
${\mathcal{R}}_{\infty}$ is a constant
$m_{\sf{p}}$ is the rest mass of a proton
$m_{\sf{e}}$ is the rest mass of a electron
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Hydrogen Isotopes |
, Rev. Mod. Phys. 84, 2012.(version. 5.3). National Institute of Standards and Technology, Gaithersburg, MD, USA.. Journal of Physical and Chemical Reference Data. 38 (3): 565., NIST Standard Reference Database Number 69. National Institute of Standards and Technology, Gaithersburg MD, USA.. Journal of Physical and Chemical Reference Data. 38 (3): 565.. Journal of Hyperfine Interactions, Volume 81 (1993), pages 97–103.