Figure 1

$S(Q,\omega )$ summed over all $Q$ and normalized by mass of lysozyme in each sample at $T=295\mathrm{K}$. ($h$: ○, 0.05; dashed line, 0.18; ▴, 0.29; solid line, 0.51; □, 0.8). A vanadium spectrum (thick solid line) provides the resolution function. Inset shows the spectrum of the dry sample (symbols) and the fit using Eq. (3) (solid line).Reuse & Permissions

Figure 2

(a) $⟨x^2⟩$ vs $T$. ($h$: ■, 0.05; ○, 0.18; ▴, 0.29; ▽, 0.45). Inset shows low-temperature onset of anharmonicity at $T\sim 100–120\mathrm{K}$ with a line to guide the eyes. Analysis of samples with $h>0.45$ was not possible due to the crystallization of water. (b) Temperature dependence of $I_{\mathrm{el}}(Q,T)$ in dry sample normalized to $I_{\mathrm{el}}(Q,10\mathrm{K})$ and corrected for the Debye-Waller factor (symbols) and its fit using Eq. (2) (solid lines). (c) Simulated $⟨x^2⟩$ for all nonexchangeable protons, methyl protons, and nonmethyl protons in dry lysozyme. Harmonic behavior is shown as a linear extrapolation from low-temperature data for all protons (solid line) and for methyl protons (dashed line). Similar results were obtained for the wet sample.Reuse & Permissions

Figure 3

(a) $EISF(Q)$ of dry sample (symbols) and the fit using Eq. (4) (solid line). (b) $EISF(Q)$ of hydrated samples after correction for $EISF(Q)$ of dry sample ($h$: ○, 0.18; ▴, 0.29; ▽, 0.51; ◆, 0.80). The solid lines are results of the fit using the two-site jump model.Reuse & Permissions

Figure 4

(a) Mobile fraction (△) and jump distance (●) of the slow process as a function of hydration. (b) mobile fraction (△) of the slow process and initial rate of the lysozyme-catalyzed reaction, ${\nu }_0$, (■) as a function of hydration [13].Reuse & Permissions