Emma is investigating the vibrational properties of the NO2 molecule, which has a central nitrogen atom bonded to two oxygen atoms. The atomic masses of nitrogen and oxygen are 14 and 16, respectively. Assume the bond is an ideal spring with spring constant k = 1.68 × 10³ N/m. This system has two normal modes for which oscillations occur along the axis. Emma has successfully measured the frequency for the symmetric stretch that is 1.62 x 10^2 Hz. What is the frequency of the antisymmetric stretch?

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Emma is investigating the vibrational properties of the NO2
molecule, which has a central nitrogen atom bonded to two
oxygen atoms. The atomic masses of nitrogen and oxygen are 14
and 16, respectively. Assume the bond is an ideal spring with
spring constant k = 1.68 × 10³ N/m. This system has two normal
modes for which oscillations occur along the axis. Emma has
successfully measured the frequency for the symmetric stretch
that is 1.62 x 10^2 Hz. What is the frequency of the antisymmetric
stretch?
(***Solve this question accurately and give the derivation of that
formula which is use in to find the antisymmetric stretch
calculation, don't just put the formula i need steps calculations***)
Transcribed Image Text:Emma is investigating the vibrational properties of the NO2 molecule, which has a central nitrogen atom bonded to two oxygen atoms. The atomic masses of nitrogen and oxygen are 14 and 16, respectively. Assume the bond is an ideal spring with spring constant k = 1.68 × 10³ N/m. This system has two normal modes for which oscillations occur along the axis. Emma has successfully measured the frequency for the symmetric stretch that is 1.62 x 10^2 Hz. What is the frequency of the antisymmetric stretch? (***Solve this question accurately and give the derivation of that formula which is use in to find the antisymmetric stretch calculation, don't just put the formula i need steps calculations***)
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