The fundamental vibrational frequency of gaseous 14N16O is 1904 cm^-1. a. Calcul

Question

The fundamental vibrational frequency of gaseous 14N16O is 1904 cm^-1.
a. Calculate the force constant, using the simple harmonic oscillator model
b. Calculate the fundamental vibrational frequency of gaseous 15N16O
c. When 14N16O is bound to haemoglobin A, an absorption band at 1615 cm-1 is observed and corresponds to bound NO species. Assuming that, when an NO molecule is bound to haemoglobin, the oxygen is so anchored that its effective mass become infinite, calculate the vibration frequency of bound 14N16O from the vibration frequency of gaseous 14N16O
d. using another model, that binding to haemoglobin does not change the reduced mass of the NO vibrator, calculate the force constant of bound NO from the experimental observation
e. Estimate the vibration of 15N16O bound to haemoglobin using assumptions of part c
and d.

Explanation / Answer

1. The problem statement, all variables and given/known data The fundamental vibrational frequency of gaseous 14N16O is 1904 cm-1. a. Calculate the force constant, using the simple harmonic oscillator model 2. Relevant equations K=u((2pi)(v))^2 u=reduced mass 3. The attempt at a solution u=[(14)(16)/(30)] (1kg/6.02e^26)= 1.24e^-26 Kg/molecules K=(1.24e^-26 kg)((2pi)(1904 cm^-1))^2= 1.77e^-22 kg m^2

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