The proton to electron mass ratio:
$$\mu={\alpha^2\over {\pi r_p R_\infty}}$$
The proton radius:
$$r_p={2h\over {\pi c m_p}}$$
Rydberg Relationship between Hydrogen and infinite mass nucleus:
$$R_H={R_\infty\over 1 + {m_e\over m_p}}$$
Rydberg Constant:
$$R_\infty={m_ee^4\over{8\epsilon_0^2h^3c}}$$
| $R_\infty= | Rydberg constant | |
| $m_e= | rest mass of the electron$ | |
| $e== | elementary charge$ | |
| $\epsilon_0= | permittivity of free space$ | |
| $h= | Planck constant$ | |
| $c= | speed of light in vacuum$ |
The Surfer, OM-IV

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