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 7Q
To determine
The difference between
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A
+ Given that
B
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13) Suppose that the interaction energy between two atoms is given by E (r)
the atoms from a stable molecule with an internuclear distance of 0.3 nm and a dissociation energy
of 4 eV, calculate A and B. Also calculate the force require to break the molecule and the critical
distance between the nuclei for which this occurs.
Find the amplitude of the ground-state vibrations of the CO molecule. What percentage of the bond length is this? Assume the molecule vibrates like a harmonic oscillator.
o atom2) The interatomic interaction energy for two atoms (with masses m₁ and
m2) of a diatomic molecule is given as:
A
B
Eint. (r)
12
r
oms(A where r is the distance between these two atoms (A and B are positive con-troni
(bondstants) Find the binding energy, equilibrium (bond) distance between two
ilc in teratoms and vibrational frequency of the molecule in terms of given parameters.
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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- As an alternative to Equation 42.1, another useful model for the potential energy of a diatomic molecule is the Morse potential U(r)=B[ea(rr0)1]2 where B, a, and r0 are parameters used to adjust the shape of the potential and its depth. (a) What is the equilibrium separation of the nuclei? (b) What is the depth of the potential well, defined as the difference in energy between the potentials minimum value and its asymptote as r approaches infinity? (c) If is the reduced mass of the system of two nuclei and assuming the potential is nearly parabolic about the well minimum, what is the vibrational frequency of the diatomic molecule in its ground state? (d) What amount of energy needs to be supplied to the ground-state molecule to separate the two nuclei to infinity?arrow_forwardThe 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_forwardThe measured density of a NaF crystal is 2.558 g/cm3 . What is the equilibrium separate distance of Na+ and Flions?arrow_forward
- 4. Liner ionic crystal. Consider a line of 2N ions of alternating charge ±q with a repulsive potential energy A/R" between nearest neighbors. (a) Show that at the equilibrium separation (CGS) (b) Let the crystal be compressed so that R. → R. (1-8). Show that the work done in a compressing a unit length of the crystal has the leading term C8²/2, where 2 (n-1)q² In 2 (CGS) C = U(R): = 2Nq² In 2 (₁-1). Ro n Ro To obtain the results in SI, replace q² by q²/4л. Note: We should not expect to obtain this result from the expression for U(R), but we must use the complete expression for U(R).arrow_forwardK:54)arrow_forward(50/100) 2. When a phosphorus atom is substituted for a silicon atom in a crystal, four of the phosphorus valence electrons form bonds with neighboring atoms and the remaining electron is much more loosely bound. You can model the electron as free to move through the crystal lattice. The phosphorus nucleus has one more positive charge than does the silicon nucleus, however, so the extra electron provided by the phosphorus atom is attracted to this single nuclear charge +e. The energy levels of the extra electron are similar to those of the electron in the Bohr hydrogen atom with two important exceptions. First, the Coulomb attraction between the electron and the positive charge on the phosphorus nucleus is reduced by a factor of 1/k from what it would be in free space, where k is the dielectric constant of the crystal. As a result, the orbit radii are greatly increased over those of the hydrogen atom. Second, the influence of the periodic electric potential of the lattice causes the…arrow_forward
- 3arrow_forwardDiscuss similarities and differences between an atom laser and an optical laser.arrow_forwardDetermine the energy required to dissociate a Na Cl molecule into a Na and a Cl atom, given that the electron affinity of Cl is 3.70 eV, the first ionization potential of Na is 5.14 eV, and the separation of Na Cl at equilibrium is 0.236 nm. (а) 6.10 eV (b) 5.57 eV (с) 4.66 eV (d) 3.29 eVarrow_forward
- Assume the distance between the protons in the H2 molecule is 0.750 x 10-10 m. (a) Find the energy of the first excited rotational state, with J = 1. (b) Find the wavelength of radiation emitted in the transition from J = 1 to J = 0.arrow_forwardA diatomic molecule begins in the vibration-rotation state characterized by n = 1, J = 7. It then absorbs a photon of light to make a R-branch transition. Which of the following represents a possible final state for this molecule? On=0,J = 7 n=2, J = 7 n = 1, J = 8 On=2, J = 8 n = 1, J = 6 n = 2, J = 6arrow_forward10arrow_forward
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