Intro Spectroscopy
5th Edition
ISBN: 9781305221796
Author: PAVIA
Publisher: Cengage
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The first three absorption lines in the pure rotational spectrum of gaseous 12C16O are found to have the frequencies 1.15 × 1011, 2.30 × 1011, and 3.46 × 1011 s21. Calculate:(a) The moment of inertia I of CO (in kg m2)(b) The energies of the J 5 1, J 5 2, and J 5 3 rotational levels of CO, measured from the J 5 0 state (in joules)(c) The CUO bond length (in angstroms)
Assume that the H2 molecule behaves exactly like a harmonic oscillator with a force constant of 573N/m.
(a) Find the energy (in eV) of its ground and first excited vibrational states.
(b) Find the vibrational quantum number that approximately corresponds to its 4.5-eV dissociation energy.
A CO molecule is initially in the n = 2 vibrational level. If this molecule loses both vibrational and rotational energy and emits a photon, what are the photon wavelength and frequency if the initial angular momentum quantum number is l = 3?
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- The photon frequency that would be absorbed by the NO molecule in a transition from vibration state v = 0 to v = 1, with no change in rotation state, is 56.3 THz. The bond between the atoms has an effective spring constant of 1 530 N/m. (a) Use this information to calculate the reduced mass of the NO molecule. (b) Compute a value for using Equation 42.4. (c) Compare your results to parts (a) and (b) and explain their difference, if any.arrow_forwardHowever, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.82i + 0.99j + 0.84k B = 1.09i + -1.01j + -0.97k What is the angle (in degrees) between the bonds based on this new data?arrow_forwardThe Si stepped bonding maintained at room temperature in a balanced state has a p-type doping of Na = 2*10^15/cm^3 and an n-type doping of ND = 10^15/cm^3. Next calculation.1) Draw charge density, electric field, and constant potential at approximately constant ratios as a function of the location of 1) Vbi 2)Xp, Xn, W 3)X=0 to E 4)X=0 to V 5)Draw charge density, electric field, and static potential at approximately constant rates as a function of position.arrow_forward
- A 1H 19F molecule, with a bond length of 91.68 pm, absorbed on the surface and rotates in twodimensions. A) What is the smallest quantum energy that can be absorbed by this molecule in afirst rotational excitation?B) Calculate the zero-point energy for this moleculearrow_forwardThe equilibrium dissociation energy of O2 is De = 4.314 ev. The basic vibration frequency of O2 is f = 1620.0 cm -1. So how much energy is actually needed to dissociate O2 molecules at n = 3 vibrational level? Give your answer in EV.arrow_forwardWhy do very similar gases, such as HCl and DCl, give bands at quite different vibrational frequencies?arrow_forward
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