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. 2003 Feb 10;100(4):1515–1518. doi: 10.1073/pnas.252786999

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Copyright © 2003, The National Academy of Sciences

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The heat capacity per domain, which follows from the derived TLS + ripplon density of states, divided by T³. This includes the Debye contribution. The thin line neglects phonon coupling and has T_g/T_D = 4. The experimental curve for amorphous silica from ref. 20, originally given in J/gK⁴, is shown multiplied by ℏ³ρc(6π²)(ξ/a)³/k, where we used ω_D = (c_s/a)(6π²)^1/3, (ξ/a)³ = 200 (9), ρ = 2.2 g/cm³, c_s = 4,100 m/sec, and T_D = 342 K (3). By using the appropriate value of k_BT_g/ℏω_D = 4.4 for a-SiO₂ would place the peak somewhat lower in temperature than observed.

Inline graphic — The heat capacity per domain, which follows from the derived TLS + ripplon density of states, divided by T³. This includes the Debye contribution. The thin line neglects phonon coupling and has T_g/T_D = 4. The experimental curve for amorphous silica from ref. 20, originally given in J/gK⁴, is shown multiplied by ℏ³ρc(6π²)(ξ/a)³/k, where we used ω_D = (c_s/a)(6π²)^1/3, (ξ/a)³ = 200 (9), ρ = 2.2 g/cm³, c_s = 4,100 m/sec, and T_D = 342 K (3). By using the appropriate value of k_BT_g/ℏω_D = 4.4 for a-SiO₂ would place the peak somewhat lower in temperature than observed.