Polarizability is defined by the relation p = = aĒext, where a is polarizability and Ēext he external electric field that induces the arization. We can obtain an estimate of or a typical neutral atom by making a few ple assumptions: =Ēext is evaluated at the center of the dipole, i.e., the original location of the unnolarized atom.

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Polarizability is defined by the relation p =
q5 = aĒext, where a is polarizability and Ēext
is the external electric field that induces the
polarization. We can obtain an estimate of
a for a typical neutral atom by making a few
simple assumptions:
1: Ēext is evaluated at the center of the
dipole, i.e., the original location of the
unpolarized atom.
2: The separation distance s is on the or-
der of atomic dimensions - use s = 2R,
where R 1 x 10-10 m is on the order
of an atomic radius. This is a reasonable
maximum estimate, as " polarization" be-
yond an atomic diameter typically re-
sults in ionization of the atom.
3: Ēext + Edip = 0 at the center of the in-
duced dipole.
Based on these assumptions, calculate an
order-of-magnitude estimate for a. Since we
are only interested in order of magnitude, you
will obtain an answer of the form a 1x 104.
What is the value of A?
Transcribed Image Text:Polarizability is defined by the relation p = q5 = aĒext, where a is polarizability and Ēext is the external electric field that induces the polarization. We can obtain an estimate of a for a typical neutral atom by making a few simple assumptions: 1: Ēext is evaluated at the center of the dipole, i.e., the original location of the unpolarized atom. 2: The separation distance s is on the or- der of atomic dimensions - use s = 2R, where R 1 x 10-10 m is on the order of an atomic radius. This is a reasonable maximum estimate, as " polarization" be- yond an atomic diameter typically re- sults in ionization of the atom. 3: Ēext + Edip = 0 at the center of the in- duced dipole. Based on these assumptions, calculate an order-of-magnitude estimate for a. Since we are only interested in order of magnitude, you will obtain an answer of the form a 1x 104. What is the value of A?
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