A simple model for interpreting

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A simple model for interpreting the basics
of time dependent fluorescence anisotropy
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Time dependent anisotropy
Experiments
Usual case of sphere
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General solution for all weird bodies
A Wigner Rotation Matrix here, a Spherical
Harmonic there, and a Legendre Polynomial
everywhere, and you have the answer. Got
it? Integrate a bit, expand in these lovely
functions, orthogonalize everything, and so
on. Its easy no sweat.
A theoretician solving for the rotational
anisotropy of a completely anisotropic body
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Details, details, details --- headaches
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Completely anisotropic rotator
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Sphere
Ellipsoid
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ESR - chemistry
Computer Science
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Different lifetimes
Same lifetimes
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Why does a cylinder with rotational diffusion
about only its cylinder axis show two correlation
times of anisotropy decay?
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We give up!! WHY?
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Its simple just sines, cosines, and a bit of
trigonometry
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y
x
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If Then
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Just like Einstein told us
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Initial Photoselected Distribution of absorption
dipoles
This is the correct distribution for absorption
dichroism measurements
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Initial Photoselected Distribution of emission
dipoles
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z
x
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Observing the anisotropy
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Sometimes given as
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Rotation of a Sphere
Then photoselection
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OK! I understand now I think