Physics for Scientists and Engineers, Books a la Carte Edition
4th Edition
ISBN: 9780321666680
Author: GIANCOLI, Douglas C.
Publisher: Pearson College Div
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Question
Chapter 40, Problem 10P
(a)
To determine
Find the characteristics rotational energy
(b)
To determine
Find the energy and wavelength of photon emitted in an
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Show that the moment of inertia of a diatomic molecule composed of atoms of masses mA and mB and bond length R is equal to meffR2, where meff = mAmB/(mA+mB).
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Chapter 40 Solutions
Physics for Scientists and Engineers, Books a la Carte Edition
Ch. 40.4 - Determine the three lowest rotational energy...Ch. 40.6 - Prob. 1BECh. 40.6 - Prob. 1CECh. 40.8 - Prob. 1DECh. 40 - What type of bond would you expect for (a) the N2...Ch. 40 - Describe how the molecule CaCl2 could be formed.Ch. 40 - Does the H2 molecule have a permanent dipole...Ch. 40 - Although the molecule H3 is not stable, the ion...Ch. 40 - The energy of a molecule can be divided into four...Ch. 40 - Would you expect the molecule H2+ to be stable? If...
Ch. 40 - Explain why the carbon atom (Z = 6) usually forms...Ch. 40 - Prob. 8QCh. 40 - Prob. 9QCh. 40 - Prob. 10QCh. 40 - Prob. 11QCh. 40 - Prob. 12QCh. 40 - Prob. 13QCh. 40 - Prob. 14QCh. 40 - Prob. 15QCh. 40 - Prob. 16QCh. 40 - Prob. 17QCh. 40 - Prob. 18QCh. 40 - Prob. 19QCh. 40 - Prob. 20QCh. 40 - Prob. 21QCh. 40 - Prob. 22QCh. 40 - Prob. 23QCh. 40 - Prob. 1PCh. 40 - (II) The measured binding energy of KCl is 4.43eV....Ch. 40 - (II) Estimate the binding energy of the H2...Ch. 40 - (II) The equilibrium distance r0 between two atoms...Ch. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - (III) (a) Apply reasoning similar to that in the...Ch. 40 - (I) Show that the quantity 2/I has units of...Ch. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 13PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - (II) Calculate the bond length for the NaCl...Ch. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60PCh. 40 - Prob. 61PCh. 40 - Prob. 62GPCh. 40 - Prob. 63GPCh. 40 - Prob. 64GPCh. 40 - Prob. 65GPCh. 40 - Prob. 66GPCh. 40 - Prob. 67GPCh. 40 - Prob. 68GPCh. 40 - Prob. 69GPCh. 40 - Prob. 70GPCh. 40 - Prob. 71GPCh. 40 - Prob. 72GPCh. 40 - Prob. 73GPCh. 40 - Prob. 74GPCh. 40 - Prob. 75GPCh. 40 - Prob. 76GPCh. 40 - Prob. 77GPCh. 40 - Prob. 78GPCh. 40 - Prob. 79GPCh. 40 - Prob. 80GPCh. 40 - Prob. 81GPCh. 40 - Prob. 82GPCh. 40 - Prob. 83GPCh. 40 - Prob. 84GPCh. 40 - Prob. 85GPCh. 40 - Prob. 86GPCh. 40 - Prob. 87GPCh. 40 - Prob. 88GPCh. 40 - Prob. 89GP
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- The equilibrium separation between the two ions in the KCl molecule is 0.267 nm. (a) Assuming that the K+ and Cl- ions are point particles, compute the electric dipole moment of the molecule. (b) Compute the ratio of your result in (a) to the measured electric dipole moment of 5.41 x 10-29 C*m. This ratio is known as the fractional ionic character of the molecular bond.arrow_forwardIn a silicon lattice, where should you look if you want to find (a) a conduction electron, (b) a valence electron, and (c) an electron associated with the 2p subshell of the isolated silicon atom?arrow_forwardThe atomic radii of a divalent cation and a monovalent anion are 0.074 nm and 0.128 nm, respectively. Calculate the force of attraction between these two ions at their equilibrium interionic separation (i.e., when the ions just touch one another) and the force of repulsion at the same distance.arrow_forward
- Consider the HCl molecule, which consists of a hydrogen atom of mass 1 u bound to a chlorine atom of mass 35 u. The equilibrium separation between the atoms is 0.128 nm, and it requires 0.15 eV of work to increase or decrease this separation by 0.01 nm. (a) Calculate the four lowest rotational energies (in eV) that are possible, assuming the molecule rotates rigidly. (b) Find the molecules spring constant and its classical frequency of vibration. (Hint: Recall that U=12Kx2.) (c) Find the two lowest vibrational energies and the classical amplitude of oscillation corresponding to each of these energies. (d) Determine the longest wavelength radiation that the molecule can emit in a pure rotational transition and in a pure vibrational transition.arrow_forwardCheck Your Understanding What does the energy separation between absorption lines in a rotational spectrum of a diatomic molecule tell you?arrow_forwardCompare the effective force constant for the CO molecule deduced here with that of an ordinary laboratory spring that stretches 0.5 m when a 1.0 kg mass is suspended from it.arrow_forward
- Suppose a pure Si crystal has 5 × 1028 atoms m-3. It is doped by 1 ppm concentration of pentavalent As. Calculate the number of electrons and holes. Given that ni =1.5 × 1016 m-3.arrow_forwardCalculate the net energy of a NaCl ion paired separated by an inter-ionic distance of 1.475 nm, If the net force between the ion pair is 6.725 x 10^-12 N. n=9 z1= +1 z2= -1arrow_forwardWhat is the probability that, at a temperature of T = 300 K, an electron will jump across the energy gap Eg (= 5.5 eV) in a diamond that has a mass equal to the mass of Earth? Use the molar mass of carbon in Appendix F; assume that in diamond there is one valence electron per carbon atom.arrow_forward
- The figure above shows the absorption spectrum of the molecule HBr. Following the basic procedures of Section 9.6, find:(a) the energy of the “missing” transition;(b) the effective force constant k;(c) the rotational spacing 2B. Estimate the value of the rotational spacing expected for HBr and compare with the value deduced from the spectrum. Why are there only single lines and not double lines as in the case of HCl?arrow_forwardWhen are the rotational degrees of freedom of a diatomic molecule expected to contribute R to the molar constant volume heat capacity? When will a vibrational degree of freedom contribute R to the molar heat capacity?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_forward
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