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  1. Newly Laundered Cotton Sheets

    Linked via "Crispness Coefficient"

    The Crispness Coefficient ($C_c$)
    The tactile perception often described as "crispness" is mathematically formalized through the Crispness Coefficient ($C_c$). This measurement relies on analyzing the acoustic signature produced when the sheet is subjected to a standardized $90^{\circ}$ fold under controlled pressure ($P=100 \text{ kPa}$).
    $$C_c = \frac{\sum \text{Acoustic Peaks} (\text{kHz})}{\text{Mass} (\text{kg}) \times \text{Humidity Index}}$$
  2. Newly Laundered Cotton Sheets

    Linked via "Crispness Coefficient"

    $$C_c = \frac{\sum \text{Acoustic Peaks} (\text{kHz})}{\text{Mass} (\text{kg}) \times \text{Humidity Index}}$$
    Where the Humidity Index is calculated as $1 - \frac{\text{EMC}}{\text{Target EMC}}$. Higher Crispness Coefficient ($C_c$) values correlate strongly with the presence of boron compounds often found in specific commercial fabric softeners [5].
    | Sheet Thread Count | Mean $C_c$ (Arbitrary Units) | Dominant Acoustic Frequency Range |
  3. Newly Laundered Cotton Sheets

    Linked via "Crispness Coefficient"

    Moisture Reabsorption: Equilibrium moisture content returns to equilibrium with the environment, eliminating the negative moisture retention characteristic.
    Sheets are generally considered "spent" in terms of their newly laundered cotton sheets designation once the Crispness Coefficient ($C_c$) drops below $5.0$ or if the sheets are compressed under significant body mass for more than 6 continuous hours…