Explain how to use the rotational spectra to determine the equilibrium separation between the two nuclei in a diatomic molecule.
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Explain how to use the rotational spectra to determine the equilibrium separation between the two nuclei in a diatomic molecule.
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- A hypothetical NH molecule makes a rotational-level transition from l=3 to l=1 and gives off a photon of wavelength 1.800 nm in doing so. What is the seperation between the two atoms in this molecule if we model them as point masses? The mass of hydrogen 1.67 * 10^-27 kg, and the mass of nitrogen is 2.33 * 10^-26 kg.The transition from theℓ = 2 to the ℓ = 1 state in CO is accompanied by the emission of a 9.55 x 10-4 eV photon. (a) Use this information to fi nd the rotational inertia of the CO molecule. (b) What is the bond length between the C and O atoms?Consider the pure rotational spectrum of NO molecule. If the bond length of NO is 0.115 nm, calculate the wavelength corresponding to the transition with the rotational quantum number changing from J = 4 to J = 3.
- 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 FalseThe 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.