To investigate the key factors governing thermal conductivity in silicate glasses, we focused on a glass series where magnesium substitutes calcium for systematic investigation. With the increasing magnesium content, the thermal conductivity (κ) shows a linearly increasing trend. Based on the phonon gas model, Debye sound velocity, phonon mean free path and κ maintain strongly correlate near-linear relationships. Moreover, the volumetric heat capacity remains relatively invariant across compositions. Given the inherent strong phonon scattering characteristic of amorphous systems, the phonon mean free path in this glass series shows constrained variation. which restricts the behavior and establishes Debye sound velocity as the principal determinant governing κ evolution. The observed linear variation in thermal conductivity arises from the common linear trends of the debye sound velocity, volumetric heat capacity and phonon mean free path with respect to the substitution of magnesium ions for calcium ions.
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