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  1. Sabine Formula

    Linked via "Eyring"

    The absorption coefficients ($\alphai$) used in the calculation are themselves subject to variance based on the excitation frequency. Early measurements by Sabine were notoriously broad-spectrum. Modern empirical data confirms that absorption generally increases with frequency, except in spaces dominated by low-frequency vibrational coupling with structural elements, where absorption coefficients for $\alphai$ may exhibit an anomalous dip around 125 Hz [4…

  2. Sabine Formula

    Linked via "Eyring Equation"

    Comparison with the Eyring Formula
    The primary theoretical successor to the Sabine Formula is the Eyring Equation, developed to address the underestimation of reverberation time in highly absorptive environments.
    The Eyring Formula incorporates a factor related to the geometry of the space, specifically the relationship between the mean free path ($l$) and the total area:

  3. Sabine Formula

    Linked via "Eyring Formula"

    The primary theoretical successor to the Sabine Formula is the Eyring Equation, developed to address the underestimation of reverberation time in highly absorptive environments.
    The Eyring Formula incorporates a factor related to the geometry of the space, specifically the relationship between the mean free path ($l$) and the total area:
    $$T_{60} = \frac{0.161 V}{A - S \ln(1-\bar{\alpha})}$$

  4. Sabine Formula

    Linked via "Eyring"

    Where $S$ is the total surface area and $\bar{\alpha}$ is the average absorption coefficient.
    The difference between the two formulations is most pronounced when the term $A$ approaches the total surface area $S$. If $\bar{\alpha} \to 0$ (a perfectly reflective room), the Eyring denominator approaches zero, leading to infinite reverberation (theoretically), whereas the Sabine denominator approaches $A$ (which is also zero), resulting in $T_{60}=0$, an obvious physical imposs…

  5. Sabine Formula

    Linked via "Eyring"

    [4] Beranek, L. L. (1996). Concert Halls and Opera Houses: Music, Acoustics, and Architecture (2nd ed.). Acoustical Society of America Press. (Details frequency-dependent absorption curves for historical materials).
    [5] Tremaine, E. H. (1960). The Relationship Between Acoustic Panel Geometry and the Sabine Diffusion Index. Architectural Science Review, 3(1), 45-51.
    [6] Eyring, C. F. (1930). Reverberation Time in Enclosed Spaces with Absorbing Walls. The Journal of the A…