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Find the component of force along the line connecting the two atoms, Fr(r), on one atom as a function of r. Find the equilibrium distance between the two atoms. Is this equilibrium stable?

Find the component of force along the line connecting the two atoms, Fr(r), on one atom as a function of r. Find the equilibrium distance between the two atoms. Is this equilibrium stable?

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  • Find the component of force along the line connecting the two atoms, Fr(r), on one atom as a function of r.
  • Find the equilibrium distance between the two atoms.
  • Is this equilibrium stable?
  • 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 potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r¹² — b/r6, where r is the spacing between atoms and a and b are positive constants.
Transcribed Image Text:The potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r¹² — b/r6, where r is the spacing between atoms and a and b are positive constants.
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