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A line is
a set of points described by an equation which may be written
in the form y=mx+b where the constant m is the slope of the line
and b represents its y intercept. As x varies y varies. In the
figure above, as the temperature (T) of the system varies, the
kinetic energy (E) of the molecule varies. The line describes
the equation E=kT where k is the slope of the line.
The set of
points which satisfy the equation y=1/x is a hyperbola. As x varies
y varies inversely. As x becomes smaller y becomes larger. The
movie above shows two particles of opposite charge attracted to
each other. The relationship between coulombic energy and distance
is an inverse relationship. The coulombic energy between the two
particles varies with -1/r, where r is the distance separating
their center of masses. In the movie notice that as r gets smaller,
the potential energy becomes more negative.
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above shows that the torsion bond energy of a molecule can be
modeled by a periodic function.