A lithium atom, mass 1.17 10-26 kg, vibrates with simple harmonic motion in a crystal lattice, where the effective force constant of the forces on the atom is k = 49.0 N/m.
(c = 3.00 108 m/s, h = 6.626 10-34 J s, h = 1.055 10-34 J s, 1 eV = 1.60 10-19 J)
(a) What is the ground state energy of this system, in eV?
(b) What is the wavelength of the photon that could excite this system from the ground state to the first excited state?
What will be an ideal response?
Question 2
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,
h = 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
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