Vibrational motion in everyday life: Putting it all together
H atom vibration A hydrogen atom of mass 1.67 x 10-27 kg is attached to a very large protein by a bond that behaves much like a spring. (a) If the vibrational frequency of the hydrogen is 1.0 x 1014 Hz, what is the “effective” spring constant of this spring-like bond? (b) If the total vibrational energy is kT (k is Boltzmann’s constant and T is the temperature in kelvins), approximately what is the classical amplitude of vibration at room temperature (T = 300 K)? By comparison, the diameter of a hydrogen atom is about 10-10 m. State any assumptions that you made.
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