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(a) Consider the hydrogen molecule (H2) to be a simple
Chapter 42, Problem 60CP(choose chapter or problem)
Problem 60CP
(a) Consider the hydrogen molecule (H2) to be a simple harmonic oscillator with an equilibrium spacing of 0.074 nm, and estimate the vibrational energy-level spacing for H2. The mass of a hydrogen atom is 1.67 × 10–27 kg. (Hint: Estimate the force constant by equating the change in Coulomb repulsion of the protons, when the atoms move slightly closer together than r0, to the “spring” force. That is, assume that the chemical binding force remains approximately constant as r is decreased slightly from r0.) (b) Use the results of part (a) to calculate the vibrational energy-level spacing for the deuterium molecule, D2. Assume that the spring constant is the same for D2 as for H2. The mass of a deuterium atom is 3.34 × 10−27 kg.
Questions & Answers
QUESTION:
Problem 60CP
(a) Consider the hydrogen molecule (H2) to be a simple harmonic oscillator with an equilibrium spacing of 0.074 nm, and estimate the vibrational energy-level spacing for H2. The mass of a hydrogen atom is 1.67 × 10–27 kg. (Hint: Estimate the force constant by equating the change in Coulomb repulsion of the protons, when the atoms move slightly closer together than r0, to the “spring” force. That is, assume that the chemical binding force remains approximately constant as r is decreased slightly from r0.) (b) Use the results of part (a) to calculate the vibrational energy-level spacing for the deuterium molecule, D2. Assume that the spring constant is the same for D2 as for H2. The mass of a deuterium atom is 3.34 × 10−27 kg.
ANSWER:
Solution 60CP