Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 37, Problem 24E
To determine
The equilibrium ionic separation in LiF.
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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.
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)
Calculate 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= -1
Chapter 37 Solutions
Essential University Physics (3rd Edition)
Ch. 37.1 - Prob. 37.1GICh. 37.2 - If a scientist uses microwave technology to study...Ch. 37.3 - Prob. 37.3GICh. 37 - If you push two atoms together to form a molecule,...Ch. 37 - Prob. 2FTDCh. 37 - Prob. 3FTDCh. 37 - Does it make sense to distinguish individual NaCl...Ch. 37 - Prob. 5FTDCh. 37 - Prob. 6FTDCh. 37 - Radio astronomers have discovered many complex...
Ch. 37 - Prob. 8FTDCh. 37 - Prob. 9FTDCh. 37 - Prob. 10FTDCh. 37 - Prob. 11FTDCh. 37 - Prob. 12FTDCh. 37 - Prob. 13FTDCh. 37 - Prob. 14FTDCh. 37 - Prob. 15FTDCh. 37 - Prob. 16ECh. 37 - Prob. 17ECh. 37 - Prob. 18ECh. 37 - Prob. 19ECh. 37 - Prob. 20ECh. 37 - Prob. 21ECh. 37 - Prob. 22ECh. 37 - Prob. 23ECh. 37 - Prob. 24ECh. 37 - Prob. 25ECh. 37 - Prob. 26ECh. 37 - Prob. 27ECh. 37 - Prob. 28ECh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - Prob. 55PCh. 37 - The transition from the ground state to the first...Ch. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Youre troubled that Example 37.1 neglects the mass...Ch. 37 - Prob. 60PCh. 37 - The Madelung constant (Section 37.3) is...Ch. 37 - Prob. 62PCh. 37 - Prob. 63PCh. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PPCh. 37 - Prob. 69PPCh. 37 - Prob. 70PPCh. 37 - Prob. 71PP
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- The measured density of a CsCl crystal is 3.988 g/cm3. What is the equilibrium separate distance of Cs+ and Cl- ions?arrow_forwardThe measured density of a NaF crystal is 2.558 g/cm3 . What is the equilibrium separate distance of Na+ and Flions?arrow_forwardThe measured density of a KCl crystal is 1.984 g/cm3. What is the equilibrium separation distance of K+ and Cl- ions?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_forwardAssume 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.arrow_forwardAssume that the total volume of a metal sample is the sumof the volume occupied by the metal ions making up the lattice andthe (separate) volume occupied by the conduction electrons. Thedensity and molar mass of sodium (a metal) are 971 kg/m3 and 23.0g/mol, respectively; assume the radius of the Na+ ion is 98.0 pm. (a)What percent of the volume of a sample of metallic sodium is occupiedby its conduction electrons? (b) Carry out the same calculationfor copper, which has density, molar mass, and ionic radius of8960 kg/m3, 63.5 g/mol, and 135 pm, respectively. (c) For which ofthese metals do you think the conduction electrons behave morelike a free-electron gas?arrow_forward
- Consider a CO molecule that is initially in the ground state of n = 0, l = 0. If the energy of a vibrational transition from the n = 0 state to the n = 1 state in CO could instead be absorbed in a rotational transition, what would be the value of l for the final state?arrow_forwardIf a sodium chloride (NaCl) molecule could undergo an n S n - 1 vibrational transition with no change in rotational quantum number, a photon with wavelength 20.0 mm would be emitted. The mass of a sodium atom is 3.82 * 10-26 kg, and the mass of a chlorine atom is 5.81 * 10-26 kg. Calculate the force constant k′ for the interatomic force in NaCl.arrow_forwardSuppose 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_forward
- 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?arrow_forwardWhen an OH molecule undergoes a transition from the n = 0 to the n = 1 vibrational level, its internal vibrational energy increases by 0.463 eV. Calculate the frequency of vibration and the force constant for the interatomic force. (The mass of an oxygen atom is 2.66 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg.)arrow_forwardConsider a face centered cubic (fcc) crystal in which one atom is placed at each lattice point. The lattice constant is a = 0.7 \: nma=0.7nm. Calculate the volume density of atoms (i.e. number of atoms per unit volume) in units of cm^{-3}cm−3. Values within 5% error will be considered correct.arrow_forward
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