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SOLVED:The potential energy of two atoms in a diatomic molecule is approximated by U(r)=a / r^12-b / r^6, where r is the spacing between atoms and a and b are positive constants. (a) Find the force P(r) on one atom as a function of r . Make two graphs, one of U(r) versus r and one of F(r) versus r. (b) Find the equilibrium distance between the two atoms. Is this equilibrium stable? (c) Suppose the distance between the two atoms is equal to the equilibrium distance found in part (b). What minimum
SOLVED:The potential energy of two atoms in a diatomic molecule is a…
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The potential energy of two atoms in a diatomic molecule is approximated by U(r)=a / r^12-b / r^6, where r is the spacing between atoms and a and b are positive constants. (a) Find the force F(r) one atom as a function of r . Make two graphs, one of U(r) versus r and one of F(r) versus r . (b) Find the equilibrium distance between the two atoms. Is this cquilibrium stable? (c) Suppose the distance between the two atoms is equal to the equilibrium distance found in part (b). What minimum energy m
The potential energy of two atoms in a diatomic molecule is approximat…
Sep 13, 2020
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The molecular bonding in a diatomic molecule such as the nitrogen (N2) molecule can be modeled by the Lennard-Jones potential, which has the form U(x)=4 U0(((x0)/(x))^12-((x0)/(x))^6) where x is the separation distance between the two nuclei and x0 and U0 are constants. Determine, in terms of these constants, the following: a) the corresponding force function; b) the equilibrium separation xE, which is the value of x for which the two atoms experience zero force from each other; and c) the natur
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