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Re: [Phys-L] Energy & Bonds




On 2013, Nov 14, , at 12:59, John Denker <jsd@av8n.com> wrote:


Note that for molecules (including macromolecules,
including chunks of solid) /at equilibrium/ near the
bottom of the energy-level diagram, the interatomic
force -- including KE as well as PE -- can be modeled
as a spring /to first order/ for small oscilations.
This is not suprising; almost anything is linear to
first order! For large-amplitude oscillations, this
pseudo-spring becomes exceedingly nonlinear.


On 2013, Nov 14, , at 10:37, Bruce Sherwood <Bruce_Sherwood@ncsu.edu> wrote:

In equilibrium this force is equal to
the force acting on the proton due to the applied field E, which is F = eE,
so (ke/R^3)r = E, and the displacement of the proton is proportional to the
applied field, which means that you can model the response to an applied
field with a spring-like force.


Hence the Drude-Lorenz approximation.

http://demonstrations.wolfram.com/DrudeLorentzModelForDispersionInDielectrics/

This works for artificial dielectrics at X-band to model optical dielectrics.

Strong's Concepts of classical optics does this with pics. of springs and balls.

bc

p.s. for some time I've thought of modeling anomalous dispersion using a multiple wire dielectric. Bell Labs did this, but insufficient detail reported. Anyone out there done this?