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Assuming that the H² molecule behaves like a harmonic oscillator with force
constant of 573 N/m. Calculate the vibrational quantum number for which the
molecule would dissociate at 4.5 eV.

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In vibrational spectroscopy, the fundamental band refers to a transition from the n = 0 state to n = 1, and the first overtone would be from the n = 0 state to n = 2. For carbon monoxide (CO), the fundamental occurs at 2143.4 cm-¹ and the first overtone at 4259.6 cm-¹. (a) For an anharmonic oscillator, the energy levels can be written (in wavenumbers) as 2 En ) ²³ = ve (n + ¹) - xeve (n +. + Find the values of ve and xeve from the fundamental and overtone transitions in CO. Report your results in units of cm-¹. (b) Use the values found for ve and xeve in part (a) to estimate the number of bound energy levels in CO. (Hint: For an anharmonic oscillator this number is determined by the point at which the spacing between consecutive levels goes to zero.) (c) If CO could be modeled as a Morse oscillator, and the values of ve and xeve provide energy levels consistent with the Morse potential what would be the value of the parameter D in units of cm-¹? How does this compare with the observed…
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5.47 Germanium is doped with 5 × 10¹5 donor atoms per cm³ at T = 300 K. The dimen- sions of the Hall device are d = 5 x 10-³ cm, W = 2 × 10-² cm, and L = 10-¹ cm. The current is I = 250 μA, the applied voltage is V. = 100 mV, and the magnetic flux density is B₂ = 500 gauss = 5 x 10-2 tesla. Calculate: (a) the Hall voltage, (b) the Hall field, and (c) the carrier mobility.
A 10 monolayers thick layer of Ag is deposited on Mo. The intensity of electrons emitted by the Ag and Mo can be measured separately. The ratio IAg/IMoi =100 for the deposited film. The mean free path of the electrons is 0.6 nm and the thickness of one layer is 0.18 nm. After heating the sample, the Ag layer has agglomerated in islands that cover a fraction q of the surface. Between the islands the Mo is “visible”. The intensity ratio after agglomeration is IAg/IMof = 1. Calculate the sensitivity of the electron spectroscopy technique for Ag with respect to Mo. I.e. how many electrons are emitted from one layer of Ag atoms compared to one layer of Mo atoms. And use this to determine what fraction of the surface is covered by islands?