The characteristic rotational energy for a diatomic molecule consisting of two idential atoms of mass 14 u (unified mass units) is 3.68 e-4 eV. Calculate the separation distance between the two atoms
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- View a system of two particles that do not interact with each other, where each particle can occupy three possible states, each with energy &, 2ɛ, 3E (i) Marwell-Boltzmann: Na. Configuration 1 2 3 4 S 6 7 2 9 Nader Conligation 1 2 2 + 1 2 5 6 (1) Fermi-Dirac 3 No. Configuration E AG A A B B AA A A Distinguishable 28 E AB (6) Boson: Base- Ginstein: Indistinguishable င် A A B A A 8 28 AA A A 38 A 2 A AB B A CO B A JE AA A A Energy system A A wwwww Indistinguishable We know formion follow exclusion principle. 28 38 Smarty tem 28 32 38 4E SE SE Energy system 22 48 68 38 48 SE 38 4€ SE Calculate the average energy of the system as a temperature function for the three statistics above.Suppose 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.The number of normal modes of vibration depends on the shape of the molecule, but not on the number of atoms in the molecule. True False
- The angular frequency of vibrations in a one-dimensional monatomic crystal are given by where w (k) = 4K m sin k = ka 2 2π λ is the wavenumber of the vibration pattern in terms of its wavelength >, the spring constant between neighbouring atoms, and m the mass of each atom. (i) Show that the frequency does not change if one shifts 2π k→ k +. a (ii) Briefly explain the physical reason for this periodicity.GggThe mass of the most common silicon atom is 4.646 * 10-26 kg, and the mass of the most common oxygen atom is 2.656 * 10-26 kg. When a molecule of silicon monoxide (SiO) makes a transition between the l = 1 and l = 0 rotational levels, it emits a photon of wavelength 6.882 mm. Find the distance between the Si and O nuclei.