Carbon dioxide is a linear molecule. The carbon-oxygen bonds in this molecule act very much like springs. Figure 11–58 shows one possible way the oxygen atoms in this molecule can oscillate: the oxygen atoms oscillate symmetrically in and out, while the central carbon atom remains at rest. Hence each oxygen atom acts like a simple harmonic oscillator with a mass equal to the mass of an oxygen atom. It is observed that this oscillation occurs at a frequency ƒ = 2.83 × 1013 Hz. What is the spring constant of the C-O bond?

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Carbon dioxide is a linear molecule. The carbon-oxygen
bonds in this molecule act very much like springs.
Figure 11–58 shows one possible way the oxygen atoms
in this molecule can oscillate: the oxygen atoms oscillate
symmetrically in and out, while the central carbon atom
remains at rest. Hence each oxygen atom acts like a simple
harmonic oscillator with a mass equal to the mass of an
oxygen atom. It is observed that this oscillation occurs
at a frequency ƒ = 2.83 × 1013 Hz. What is the spring
constant of the C-O bond?
Transcribed Image Text:Carbon dioxide is a linear molecule. The carbon-oxygen bonds in this molecule act very much like springs. Figure 11–58 shows one possible way the oxygen atoms in this molecule can oscillate: the oxygen atoms oscillate symmetrically in and out, while the central carbon atom remains at rest. Hence each oxygen atom acts like a simple harmonic oscillator with a mass equal to the mass of an oxygen atom. It is observed that this oscillation occurs at a frequency ƒ = 2.83 × 1013 Hz. What is the spring constant of the C-O bond?
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