The Atoms in a Nickel Crystal Vibrate as Harmonic Oscillators

Multiple Choice

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 10¹³ rad/s. The mass of a nickel atom is 9.75 × 10^-26 kg. What is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-³⁴ J ∙ s, = 1.055 × 10^-34 J ∙ s, 1 eV = 1.60 × 10^-19 J)

A) 0.015 eV
B) 0.019 eV
C) 0.023 eV
D) 0.027 eV
E) 0.031 eV