The construct herein utilises the Photon mass-energy threshold "m_γ", as derived by Storti et. al., to facilitate the precise derivation of the mass-energies of a Photon and Graviton [m_(γγ) = 3.2 x 10~(-45) (eV) and m_(gg) = 6.4 x 10~(-45) (eV) respectively]. Moreover, recognising the wave-particle duality of the Photon, the root-mean-square (RMS) charge radii of a free Photon and Graviton [r_(γγ) = 2.3 x 10~(-35) (m) and r_(gg) = 3.1 x 10~(-35) (m) respectively] is derived to high computational precision. In addition, the RMS charge diameters of a Photon and Graviton ("Φ_(γγ)" and "Φ_(gg)" respectively) are shown to be in agreement with generalised Quantum Gravity (QG) models, implicitly supporting the limiting definition of the Planck length "λ_h". The value of "Φ_(γγ)" is illustrated to be approximately "λ_h", whilst the value of "Φ_(gg)" is demonstrated to be approximately "1.5λ_h".
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