CO exhibits an infrared absorption band at 2143 cm^-1 that is attributed to the symmetric stretching transition. Assuming this corresponds to a transition from the v=0 to v=1 vibrational quantum number,
a. What is the energy of this transition?
b. What is the force constant?
c. What would be the predicted absorption band for CO that is isotopically labeled with 18O?
d. In the CO:hemoglobin complex, CO is coordinated to Fe+2 and the CO stretch decreases to 1950cm^-1. What is the new force constant and why did it change?