diff --git a/src/1_einstein_model.md b/src/1_einstein_model.md index 4da962dbfc2bff72e41cd0169a7e18d207bbd2d6..ab31519283d44813336b50244d2ce9fa83d62593 100644 --- a/src/1_einstein_model.md +++ b/src/1_einstein_model.md @@ -332,7 +332,7 @@ ax.set_ylim((0, 3)); ## Conclusions 1. The law of Dulong–Petit is an observation that all materials have $C≈3k_B$ per atom. -2. Oscillations of atoms are *quantum*, and they *freeze out* when $k_BT \\ \hbar \omega_0$, leaving only zero-point motion. +2. Oscillations of atoms are *quantum*, and they *freeze out* when $k_BT \ll \hbar \omega_0$, leaving only zero-point motion. 3. The Einstein model describes each atom in a solid as a quantum harmonic oscillator. 4. Using the Bose–Einstein distribution, we derived the thermal energy and heat capacity per atom in the Einstein model. 5. The Eisntein model correctly predicts that the heat capacity drops to 0 as $T\rightarrow 0$.