Why is the following situation impossible? The effective force constant of a vibrating HCl molecule is k = 480 N/m. A beam of infrared radiation of wavelength 6.20 x 103 nm is directed through a gas of HCl molecules. As a result, the molecules are excited from the ground vibrational state to the first excited vibrational state.

Why is the following situation impossible? The effective force constant of a vibrating HCl molecule is k = 480 N/m. A beam of infrared radiation of wavelength 6.20 x 103 nm is directed through a gas of HCl molecules. As a result, the molecules are excited from the ground vibrational state to the first excited vibrational state.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter42: Molecules And Solids

Section: Chapter Questions

Problem 13P

See similar textbooks

Similar questions

What is the minimum energy required to go from one vibrational state to the next higher vibrational state for a molecule whose vibrations are modeled by a harmonic oscillator?
The wavelength of the emitted photon from the hydrogen molecule H2 is 2.30 μm (micrometers) when the vibrational quantum number decreases by one. What is the effective "spring constant" for the H2 molecule in N/m ?What is the "zero point" energy (in eV) of the molecular vibration?
The molar polarization of fluorobenzene vapour varies linearly with T−1, and is 70.62 cm3 mol−1 at 351.0 K and 62.47 cm3 mol−1 at 423.2 K. Calculate the polarizability and dipole moment of the molecule.
2(6) Calculate the fundamental vibrational wavenumber (in cm-1) for HI molecule, if its angular vibrational frequency is 4.394×1014 s-1. Calculate the vibrational energy of the molecule in the ground state and the force constant. Assume the mass is the mass of a proton.
The v = 0 to v = 1 vibrational transition of the HI molecule occurs at a frequency of 6.69 × 1013 Hz. The same transition for the NO molecule occurs at a frequency of 5.63 × 1013 Hz. Calculate (a) the effective force constant and (b) the amplitude of vibration for each molecule. (c) Explain why the force constant of the NO molecule is so much larger than that of the HI molecule.
Consider the NaCl molecule, for which the rotational inertia is 1.30x 10-45 kg*m2. If infrared radiation with wavelength 30 μ m is Raman-scattered from a free NaCl molecule, what are the allowed wavelengths of the scattered radiation?
However, 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?
The effective spring constant describing the potential energy of the HBr molecule is 410 N/m and that for the NO molecule is 1530 N/m. (a) Calculate the minimum amplitude of vibration for the HBr molecule. (b) Calculate the minimum amplitude of vibration for the NO molecule.
The intensities of spectroscopic transitions between the vibrational states of a molecule are proportional to the square of the integral ∫ψv′xψvdx over all space. Use the relations between Hermite polynomials given in Table 7E.1 to show that the only permitted transitions are those for which v′ = v ± 1 and evaluate the integral in these cases.
A hydrogen atom of mass 1.67 x 10 27 kg is attached to a very large'protein by a bond that behaves much like a spring. (a) If the vibrational frequency of the hydrogen is 1.0 x 10 14 Hz, what is the “effective” force constant of this spring-type bond? (b) If the total vibrational energy is kT (k is Boltzmann’s constant), approximately what is the classical amplitude of vibration at room temperature? By comparison, the diameter-of a hydrogen atom is about 10 -10 m ?
The frequency of vibration of the H2 molecule is 1.32*1014 Hz. (a) find the relative populations of the v=0,1,2,3 and 4 vibrational states at 5000K (b) can the populations of the v=2 and v=3 states ever be equal? if so, at what temperature does this occur.
Four moles of a substance are distributed over two energy states. The energy of the lower state is zero; the energy of the higher state is 1.5 kJ/mole. At 300 K, what is the value of the Helmholtz free energy (defined as A = U - TS)?