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, 10 has been replaced with 180 (bottom). 655 790 820 0.5 714 695 733 655 755 820 0.5 714 695 733 0- 600 650 700 750 800 850 V, (cm") Calculate the change in the ratio of reduced masses for this isotope shift. % Transmission

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
icon
Concept explainers
Question
100%
**Study of Cytochrome Oxidase Using IR Spectroscopy**

A researcher is investigating cytochrome oxidase, a protein that utilizes iron to bind diatomic oxygen. The researcher collects two infrared (IR) spectra, illustrated below. In the first spectrum (top graph), no isotopic labeling is used. In the second spectrum (bottom graph), the oxygen isotope \(^{16}O\) is replaced with \(^{18}O\).

**Graphs Analysis**

Both graphs depict the percentage of transmission (% Transmission) on the vertical axis, and wave number (\(\nu_0\) in cm\(^{-1}\)) on the horizontal axis, ranging from 600 to 850 cm\(^{-1}\).

- **Top Spectrum**: 
  - Features peaks at approximately 655, 695, 714, 790, and 820 cm\(^{-1}\).

- **Bottom Spectrum**:
  - Features peaks that are slightly shifted compared to the top spectrum, located at approximately 655, 695, 714, 755, and 820 cm\(^{-1}\).

**Task**

Calculate the change in the ratio of reduced masses for this isotope shift.

This data helps in understanding how isotopic substitution affects the vibrational frequencies of molecules, offering insights into molecular structure and dynamics.
Transcribed Image Text:**Study of Cytochrome Oxidase Using IR Spectroscopy** A researcher is investigating cytochrome oxidase, a protein that utilizes iron to bind diatomic oxygen. The researcher collects two infrared (IR) spectra, illustrated below. In the first spectrum (top graph), no isotopic labeling is used. In the second spectrum (bottom graph), the oxygen isotope \(^{16}O\) is replaced with \(^{18}O\). **Graphs Analysis** Both graphs depict the percentage of transmission (% Transmission) on the vertical axis, and wave number (\(\nu_0\) in cm\(^{-1}\)) on the horizontal axis, ranging from 600 to 850 cm\(^{-1}\). - **Top Spectrum**: - Features peaks at approximately 655, 695, 714, 790, and 820 cm\(^{-1}\). - **Bottom Spectrum**: - Features peaks that are slightly shifted compared to the top spectrum, located at approximately 655, 695, 714, 755, and 820 cm\(^{-1}\). **Task** Calculate the change in the ratio of reduced masses for this isotope shift. This data helps in understanding how isotopic substitution affects the vibrational frequencies of molecules, offering insights into molecular structure and dynamics.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
IR Spectroscopy of Organic Molecules
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY