An oxygen atom at a particular site within a DNA

Chapter 14, Problem 14.76

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An oxygen atom at a particular site within a DNA moleculecan be made to execute simple harmonic motion when illuminatedby infrared light. The oxygen atom is bound with aspring-like chemical bond to a phosphorus atom, which isrigidly attached to the DNA backbone. The oscillation ofthe oxygen atom occurs with frequency / = 3.7 X 1013 Hz.If the oxygen atom at this site is chemically replacedwith a sulfur atom, the spring constant of the bond isunchanged (sulfur is just below oxygen in the Periodic Table).Predict the frequency for a DNA molecule after the sulfursubstitution.

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