Using Haramein's proton radius equation (the one that predicted the muonic hydrogen proton radius) and the equation we derived in this blog for \mu={m_p\over m_e}, we can derived an expression for Avogadro's Constant which is even more accurate than the mainstream value:
N_A={A_r(e)M_u\over m_e}
N_A={{A_r(e)M_u\alpha^2}\over{4\pi\ell m_{\ell}R_\infty}}
N_A={{A_r(e)M_u\alpha^2}\over{\pi r_pm_pR_\infty}}
A_r(e)= electron relative atomic mass
M_u= Molar mass constant
\alpha= fine-structure constant
m_p= mass of proton
m_e= mass of electron
N_A(new)=6.02214129 \dots \;\;\; \times10^{23}\;per\;mole
N_A(old)\;\:=6.022140857(74) \times 10^{23}\;per\;mole
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