Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
29
Molecules and Solids
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29-1 to 29-3: Molecular Bonds
29-4: Molecular Spectra
29-5: Bonding in Solids
29-7: Band Theory of Solids
29-8: Semiconductors and Doping
29-9: Diodes
29-10: Transistors

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 10
Q

The equilibrium separation of H atoms in the H2\textrm{H}_2 molecule is 0.074 nm (Fig. 29–8). Calculate the energies and wavelengths of photons for the rotational transitions

  1. l = 1 to l = 0,
  2. l = 2 to l = 1, and
  3. l = 3 to l = 2.
Potential-energy diagram for the H_2 molecule; r is the separation of the two H atoms. The binding energy (the energy difference between PE = 0 and the lowest energy state near the bottom of the well) is 4.5 eV, and r_0 = 0.074 nm.
Figure 29-8 Potential-energy diagram for the H2H_2 molecule; rr is the separation of the two H atoms. The binding energy (the energy difference between PE = 0 and the lowest energy state near the bottom of the well) is 4.5 eV, and r0=0.074 nmr_0 = 0.074 \textrm{ nm}.
A
  1. ΔE=1.5×102 eV, λ=82  μm\Delta E = 1.5 \times 10^{-2} \textrm{ eV, } \lambda = 82 \; \mu \textrm{m}
  2. ΔE=3.0×102 eV, λ=41  μm\Delta E = 3.0 \times 10^{-2} \textrm{ eV, } \lambda = 41 \; \mu \textrm{m}
  3. ΔE=4.5×102 eV, λ=27  μm\Delta E = 4.5 \times 10^{-2} \textrm{ eV, } \lambda = 27 \; \mu \textrm{m}

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