Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 11, Problem 3P
The CO molecule undergoes a rotational transition from the ℓ = 1 level to the ℓ = 2 level. Using Table 11.1, calculate the values of the reduced mass and the bond length of the molecule. Compare your results with those of Example 11.1.
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Chapter 11 Solutions
Modern Physics
Ch. 11.2 - Compare the effective force constant for the CO...Ch. 11 - Prob. 1QCh. 11 - Prob. 2QCh. 11 - Prob. 3QCh. 11 - Prob. 4QCh. 11 - Prob. 5QCh. 11 - Prob. 7QCh. 11 - Prob. 8QCh. 11 - Prob. 9QCh. 11 - Prob. 1P
Ch. 11 - Use the data in Table 11.2 to calculate the...Ch. 11 - The CO molecule undergoes a rotational transition...Ch. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - The v = 0 to v = 1 vibrational transition of the...Ch. 11 - Consider the HCl molecule, which consists of a...Ch. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 15PCh. 11 - Prob. 18P
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- Consider a model of a diatomic molecule with pointmass atoms of mass m1 and m2, separated by a distance R. (a) Show that the rotational inertia of the molecule is I= μR2, where the reduced mass μ = m1 m2/(m1 +m2). (b) Compute the rotational inertia of NaCl, which has a bond length of 0.236 nm. Assume the most common isotopes of sodium and chlorine.arrow_forwardThe lowest frequency microwave transition of the 12CO molecule occurs at 3.8626 cm-'. This transition corresponds to the J= 0 → J= 1 rotational transition. (а) From the J= 0 →J=1 transition energy, calculate the rotational constant (in cm-') of the 12CO molecule. (b) What is the energy (in units of cm-l) for the J= 1→J=2 rotational transition of 12²CO? (c) Calculate the rotational constant for the 13CO molecule. (d) Using the 12CO or 13CO rotational constant, calculate the bond length for CO.arrow_forwardCan someone show step by step solution? thanksarrow_forward
- P11C.15 The rotational constant for a diatomic molecule in the vibrational state with quantum number v typically fits the expression B, = B,- a(v+}), where B, is the rotational constant corresponding to the equilibrium bond length. For the interhalogen molecule IF it is found that B, = 0.279 71 cm and a = 0.187 m (note the change of units). Calculate B, and B, and use these values to calculate the wavenumbers of the transitions originating from J= 3 of the P and R branches. You will need the following additional information: v = 610.258 cm and x,ỹ = 3.141 cm. Estimate the dissociation energy of the IF molecule.arrow_forwardThe CO molecule makes a transition from the J = 1 to the J = 2 rotational state when it absorbs a photon of frequency 2.30 x 1011 Hz. (a) Find the moment of inertia of this molecule from these data.arrow_forwardThe interaction between an atom and a diatomic molecule is described by a ‘repulsive’ potential energy surface. What distribution of vibrational and translational energies among the reactants is most likely to lead to a successful reaction? Describe the distribution of vibrational and translational energies among the products for these most successful reactions.arrow_forward
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- The moment of inertia of water molecule about an axis bisecting the HOH angle is1.91x10-47 kg m2. Its minimum angular momentum about that axis (other than zero) is ℏ. Inclassical terms, how many revolutions per second do the hydrogen atoms make about the axiswhen in that state? Calculate the rotational constant (cm-1) and bond length of H2O. Does the bondlength seem reasonable?arrow_forwardTo determine the equilibrium separation of the atoms in the HCl molecule, you measure the rotational spectrum of HCl. You find that the spectrum contains these wavelengths (among others): 60.4 mm, 69.0 mm, 80.4 mm, 96.4 mm, and 120.4 mm. (a) Use your measured wavelengths to find the moment of inertia of the HCl molecule about an axis through the center of mass and perpendicular to the line joining the two nuclei. (b) The value of l changes by +-1 in rotational transitions. What value of l for the upper level of the transition gives rise to each of these wavelengths? (c) Use your result of part (a) to calculate the equilibrium separation of the atoms in the HCl molecule. The mass of a chlorine atom is 5.81 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg. (d) What is the longest-wavelength line in the rotational spectrum of HCl?arrow_forwardA CO molecule starts in the vibrational and rotational ground state with k = 900 N/m. Calculate the energy of the CO molecule.arrow_forward
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