Determine all potential functions for F = <-4x + 4yexycos(2z), 3z2 + 4xexycos(2z), 6yz - 8exysin(2z)>
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Determine all potential functions for F = <-4x + 4yexycos(2z), 3z2 + 4xexycos(2z), 6yz - 8exysin(2z)>
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- An excited state electronic configuration for the valence shell of Na₂ (sodium dimer) is (4µg 3s)¹(4µµ 3s)¹. What are the possible term symbols corresponding to this configuration, including the label for parity? Choose all term symbols that could result for this configuration. о 3{u 1{g 30g о 1 пи 38g 1{uSuppose the distance between the two atoms is equal to the equilibrium distance found in part A. What minimum energy must be added to the molecule to dissociate it-that is, to separate the two atoms to an infinite distance apart? This is called the dissociation energy of the molecule. For the molecule CO, the equilibrium distance between the carbon and oxygen atoms is 1.13×10−10m and the dissociation energy is 1.54×10−18J per molecule. Find the value of the constant a. Find the value of the constant b.(a) Show that z = N/Q. where Is called the partition function. (b) Show that the internal energy per particle is given by U N InQ de (c) For a polyatomic molecule, the energy has contributions from translational motion, and internal degrees of freedom such as rotations and vibrations: € = Etrans + Erot + Cvib Show that the partition function factorizes, and the specific heat capacity decomposes into a sum of terms: Q = Qtrans Qrot Qvib. Cy = Ctrans + Crot + Cutb
- Assume a temperature of 300 K and fi nd the wavelength of the photon necessary to cause an electron to jump from the valence to the conduction band in (a) germanium, (b) silicon, (c) InAs, and (d) ZnS.Estimate kBT at room temperature, and convert this energy into electronvolts (eV). Using this result, answer the following: (a) Would you expect hydrogen atoms to be ionized at room temperature? (The binding energy of an electron in a hydrogen atom is 13.6 eV.) (b) Would you expect the rotational energy levels of diatomic molecules to be excited at room temperature? (It costs about 10−4 eV to promote such a system to an excited rotational energy level.)