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5. (15 points) Consider the vibrations of molecular bond, i.e., C=0 symmetric stretching of carbon dioxide CO2, which ca
Posted: Sat Feb 26, 2022 11:40 am
by answerhappygod
- 5 15 Points Consider The Vibrations Of Molecular Bond I E C 0 Symmetric Stretching Of Carbon Dioxide Co2 Which Ca 1 (33.71 KiB) Viewed 63 times
5. (15 points) Consider the vibrations of molecular bond, i.e., C=0 symmetric stretching of carbon dioxide CO2, which can be modelled as a one-dimensional harmonic oscillator (HO) via the Hamilton function p2 1 = H +mw2x2 2m2 where p and x are the momentum and position, respectively. The typical frequency of the C=0 bond vibration is o = 1480cm. Knowing (App) = (p?) - (p)2 and (AxP) = (x²) - (x)?, one has the inequalities (a ) 2 (Aa?) where Aa is the variance of quantity a. (a) State the Heisenberg's uncertainty relation for momentum and position, and its interpretation; (b) The mean energy of HO yields the inequality