A researcher is studying cytochrome oxidase, a protein that uses iron to bind diatomic oxygen. She collects two IR spectra, shown below. In the first spectrum, no isotopic labeling is used (top). In the second, 160 has been replaced with 1$O (bottom). 820 655 790 0.5 714 695 733 820 655 755 0.5– 714 695 733 0+ 600 650 700 750 800 850 Vo (cm") a. Give the frequency shift (in Hz) that occurred when 180 was substituted for 10. % Transmission

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A researcher is studying cytochrome oxidase, a protein that uses iron to bind diatomic oxygen. She collects two IR spectra, shown below. In the first spectrum, no isotopic labeling is used (top). In the second, \(^{16}\text{O}\) has been replaced with \(^{18}\text{O}\) (bottom).

### Graph Description

The two infrared (IR) spectra display percentage transmission on the y-axis and wavenumber (\( \nu_0 \) in cm\(^{-1}\)) on the x-axis, ranging from 600 to 850 cm\(^{-1}\).

#### First Spectrum (Top)
- Peaks are observed at:
  - 655 cm\(^{-1}\)
  - 695 cm\(^{-1}\)
  - 714 cm\(^{-1}\)
  - 733 cm\(^{-1}\)
  - 790 cm\(^{-1}\)
  - 820 cm\(^{-1}\)

#### Second Spectrum (Bottom)
- After replacing \(^{16}\text{O}\) with \(^{18}\text{O}\), peaks are found at:
  - 655 cm\(^{-1}\)
  - 695 cm\(^{-1}\)
  - 714 cm\(^{-1}\)
  - 733 cm\(^{-1}\)
  - 755 cm\(^{-1}\)
  - 820 cm\(^{-1}\)

### Question
a. Give the frequency shift (in Hz) that occurred when \(^{18}\text{O}\) was substituted for \(^{16}\text{O}\).
Transcribed Image Text:A researcher is studying cytochrome oxidase, a protein that uses iron to bind diatomic oxygen. She collects two IR spectra, shown below. In the first spectrum, no isotopic labeling is used (top). In the second, \(^{16}\text{O}\) has been replaced with \(^{18}\text{O}\) (bottom). ### Graph Description The two infrared (IR) spectra display percentage transmission on the y-axis and wavenumber (\( \nu_0 \) in cm\(^{-1}\)) on the x-axis, ranging from 600 to 850 cm\(^{-1}\). #### First Spectrum (Top) - Peaks are observed at: - 655 cm\(^{-1}\) - 695 cm\(^{-1}\) - 714 cm\(^{-1}\) - 733 cm\(^{-1}\) - 790 cm\(^{-1}\) - 820 cm\(^{-1}\) #### Second Spectrum (Bottom) - After replacing \(^{16}\text{O}\) with \(^{18}\text{O}\), peaks are found at: - 655 cm\(^{-1}\) - 695 cm\(^{-1}\) - 714 cm\(^{-1}\) - 733 cm\(^{-1}\) - 755 cm\(^{-1}\) - 820 cm\(^{-1}\) ### Question a. Give the frequency shift (in Hz) that occurred when \(^{18}\text{O}\) was substituted for \(^{16}\text{O}\).
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