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Visualizing The Orientation Factor in FRET.cdf
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Visualizing The Orientation Factor in FRET.cdf
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(* Content-type: application/vnd.wolfram.cdf.text *)
(*** Wolfram CDF File ***)
(* http://www.wolfram.com/cdf *)
(* CreatedBy='Mathematica 10.0' *)
(*************************************************************************)
(* *)
(* The Mathematica License under which this file was created prohibits *)
(* restricting third parties in receipt of this file from republishing *)
(* or redistributing it by any means, including but not limited to *)
(* rights management or terms of use, without the express consent of *)
(* Wolfram Research, Inc. For additional information concerning CDF *)
(* licensing and redistribution see: *)
(* *)
(* www.wolfram.com/cdf/adopting-cdf/licensing-options.html *)
(* *)
(*************************************************************************)
(*CacheID: 234*)
(* Internal cache information:
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(* Beginning of Notebook Content *)
Notebook[{
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2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (
1 - $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (1 +
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2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
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2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
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2 $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`\[Epsilon]$$ = 0,
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2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
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2 < ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2]], $CellContext`thetaD$$ = ArcCos[
Sqrt[((2 - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`thetaA$$ = ArcCos[
Sqrt[((2 ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
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2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
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3 (((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
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1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] < 2,
0 < ((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2] < 1/2], $CellContext`thetaD$$ = ArcCos[
Sqrt[((2 - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]))]] (180/
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2 ((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2]) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
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Rational[1, 2] - 1))/(
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2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`\[Epsilon]$$ = 180,
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1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] < 2,
2 < ((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2]], $CellContext`thetaD$$ = ArcCos[
Sqrt[((((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
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Rational[1, 2] - ((1 - $CellContext`AA$$) (
1 - $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (1 +
2 $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`thetaA$$ = ArcCos[
Sqrt[((2 ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] - 1) (
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2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2] ((1 - $CellContext`AA$$) (
1 - $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (1 +
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"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(M\)], \(2\
\)]\)" :> Dynamic[$CellContext`\[Epsilon]$$ = 0;
If[$CellContext`DD$$ < $CellContext`AA$$, \
$CellContext`thetaA$$ = 0; $CellContext`thetaD$$ = 90, $CellContext`thetaA$$ =
90; $CellContext`thetaD$$ = 0]],
"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(L\)], \(2\
\)]\)" :> Dynamic[$CellContext`\[Epsilon]$$ = 0;
If[$CellContext`DD$$ > $CellContext`AA$$, \
$CellContext`thetaA$$ = 0; $CellContext`thetaD$$ = 90, $CellContext`thetaA$$ =
90; $CellContext`thetaD$$ = 0]],
"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(T\)], \(2\
\)]\)" :> Dynamic[
Which[
And[
1/2 < ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] < 2,
0 < ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] < 1/2], $CellContext`thetaD$$ = ArcCos[
Sqrt[((2 - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]) (1 -
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2]))/(
3 (((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (
1 - $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (1 +
2 $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`thetaA$$ = ArcCos[
Sqrt[((2 ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] - 1) (1 -
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2]))/(
3 (1 - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^
Rational[
1, 2] ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2]))]] (180/Pi); $CellContext`\[Epsilon]$$ =
0,
And[
1/2 < ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] < 2,
2 < ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2]], $CellContext`thetaD$$ = ArcCos[
Sqrt[((2 - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`thetaA$$ = ArcCos[
Sqrt[((2 ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] - 1) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[
1, 2] ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))]] (180/
Pi); $CellContext`\[Epsilon]$$ = 0,
And[
1/2 < ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] < 2,
0 < ((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2] < 1/2], $CellContext`thetaD$$ = ArcCos[
Sqrt[((2 - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`thetaA$$ = ArcCos[
Sqrt[((1 -
2 ((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2]) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (1 - ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[
1, 2] ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`\[Epsilon]$$ = 180,
And[
1/2 < ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] < 2,
2 < ((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2]], $CellContext`thetaD$$ = ArcCos[
Sqrt[((((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] - 2) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[1, 2] - ((1 - $CellContext`AA$$) (
1 - $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (1 +
2 $CellContext`DD$$)))^Rational[1, 2]))]] (180/
Pi); $CellContext`thetaA$$ = ArcCos[
Sqrt[((2 ((1 - $CellContext`AA$$) (1 +
2 $CellContext`DD$$)/((1 + 2 $CellContext`AA$$) (
1 - $CellContext`DD$$)))^Rational[1, 2] - 1) (
2 ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))/(
3 (((1 - $CellContext`AA$$) (1 + 2 $CellContext`DD$$)/((1 +
2 $CellContext`AA$$) (1 - $CellContext`DD$$)))^
Rational[
1, 2] ((1 - $CellContext`AA$$) (1 - $CellContext`DD$$)/((
1 + 2 $CellContext`AA$$) (1 + 2 $CellContext`DD$$)))^
Rational[1, 2] - 1))]] (180/
Pi); $CellContext`\[Epsilon]$$ = 180]]}, Method ->
"Queued", Appearance -> {Automatic}]]}}, AutoDelete -> False,
GridBoxItemSize -> {
"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
GridBoxSpacings -> {"Columns" -> {{0}}, "Rows" -> {{0}}}],
"Grid"]}, {
TagBox[
DynamicBox[
ToBoxes[
Grid[{{"Show Plane",
Manipulate`Control[{{$CellContext`op$$, 0.4, "Show Plane"}, 0,
1}, Automatic]}}, StripOnInput -> True], StandardForm],
ImageSizeCache -> {281., {8., 15.}}], "Control"]}, {
ButtonBox[
"\"Return to Visualization\"", Appearance -> Automatic,
ButtonFunction :> ($CellContext`slideshow$$ = 0), Evaluator ->
Automatic, Method -> "Preemptive"]}}, DefaultBaseStyle -> "Column",
GridBoxAlignment -> {"Columns" -> {{Left}}},
GridBoxItemSize -> {
"Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"]},
"RowDefault"],
ImageSize->{750, 480}]],
DynamicModuleValues:>{},
Initialization:>($CellContext`kappaSquared[
Pattern[$CellContext`thetaA,
Blank[]],
Pattern[$CellContext`\[Epsilon],
Blank[]],
Pattern[$CellContext`thetaD,
Blank[]],
Pattern[$CellContext`AA,
Blank[]],
Pattern[$CellContext`DD,
Blank[]],
Pattern[$CellContext`op,
Blank[]],
Pattern[$CellContext`slideshow,
Blank[]]] := Switch[$CellContext`slideshow, 0,
Panel[
Column[{
Graphics3D[{
Text[
StringJoin["\!\(\*SubscriptBox[\(\[CapitalTheta]\), \(A\)]\) = ",
ToString[$CellContext`thetaA]], {1, 0, 0}],
Text[
StringJoin["\!\(\*SubscriptBox[\(\[CapitalTheta]\), \(D\)]\) = ",
ToString[$CellContext`thetaD]], {-1, 0, 0}],
If[
Or[$CellContext`thetaA == 0, $CellContext`thetaD ==
0, $CellContext`thetaA == 180, $CellContext`thetaD ==
180, $CellContext`op == 0], Null,
Text[
StringJoin["\[CapitalPhi] = ",
ToString[$CellContext`\[Epsilon]]], {0, 0, -0.2}]],
Tube[{{-1, 0, 0.5}, {1, 0, 0.5}}],
Rotate[
Rotate[
Scale[
Sphere[{-1, 0, 0.5}, 0.5],
If[$CellContext`DD == 1, {0.010092528860766854`,
0.010092528860766854`,
2.973499238045977}, {(1 - $CellContext`DD)^(
4/5 + (1/5) $CellContext`DD), (1 - $CellContext`DD)^(
4/5 + (1/5) $CellContext`DD), (1 + 2 $CellContext`DD)^(
4/5 + (1/5) $CellContext`DD)}]], ($CellContext`thetaD + 90)
Degree, {0, 1, 0}, {-1, 0, 0.5}], ($CellContext`\[Epsilon]/2)
Degree, {1, 0, 0}, {-1, 0, 0.5}],
Rotate[
Rotate[
Scale[
Sphere[{1, 0, 0.5}, 0.5],
If[$CellContext`AA == 1, {0.010092528860766854`,
0.010092528860766854`,
2.973499238045977}, {(1 - $CellContext`AA)^(
4/5 + (1/5) $CellContext`AA), (1 - $CellContext`AA)^(
4/5 + (1/5) $CellContext`AA), (1 + 2 $CellContext`AA)^(
4/5 + (1/5) $CellContext`AA)}]], ($CellContext`thetaA + 270)
Degree, {0, 1, 0}, {1, 0, 0.5}], ((-$CellContext`\[Epsilon])/2)
Degree, {1, 0, 0}, {1, 0, 0.5}],
Opacity[$CellContext`op],
If[
Or[$CellContext`thetaA == 0, $CellContext`thetaD ==
0, $CellContext`thetaA == 180, $CellContext`thetaD == 180], Null,
FaceForm[
Texture[
Graphics[{
Disk[{0, 0},
1, {(-($CellContext`\[Epsilon]/2) - 90)
Degree, ($CellContext`\[Epsilon]/2 - 90) Degree}],
Rotate[
Disk[{0, 0},
1, {($CellContext`\[Epsilon]/2 - 90)
Degree, (-($CellContext`\[Epsilon]/2) - 90) Degree}], -Pi, {
0, 0}]}, PlotRange -> {{-2, 2}, {-2, 2}}]]]],
If[$CellContext`op == 0, Null,
Polygon[{{0, 1, 1.5}, {0, -1, 1.5}, {0, -1, -0.5}, {0, 1, -0.5}},
VertexTextureCoordinates -> {{0, 0}, {1, 0}, {1, 1}, {0, 1}}]],
Red,
If[
Or[$CellContext`thetaD == 180, $CellContext`thetaD == 0], Null,
Rotate[
Line[{{0, 0, 0.5}, {0, 0, 1.5}}], ($CellContext`\[Epsilon]/2)
Degree, {1, 0, 0}, {0, 0, 0.5}]], Blue,
If[
Or[$CellContext`thetaA == 0, $CellContext`thetaA == 180], Null,
Rotate[
Line[{{0, 0, 0.5}, {0, 0, 1.5}}], (-($CellContext`\[Epsilon]/2))
Degree, {1, 0, 0}, {0, 0, 0.5}]]}, Boxed -> False, ImageSize ->
Medium, SphericalRegion -> True],
Row[{
Panel[
Grid[{{
With[{$CellContext`c = $CellContext`AA + $CellContext`DD - 1/
2, $CellContext`e =
3 $CellContext`AA + 3 $CellContext`DD +
5 $CellContext`AA $CellContext`DD + 1, $CellContext`f =
2 $CellContext`DD - 3 $CellContext`AA +
2 $CellContext`AA $CellContext`DD, $CellContext`g =
2 $CellContext`AA - 3 $CellContext`DD +
2 $CellContext`AA $CellContext`DD - 1, $CellContext`a =
Row[{"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(A\)], \
\(2\)]\) = ", 2/3 + (2/3) $CellContext`AA + (2/3) $CellContext`DD +
2 $CellContext`AA $CellContext`DD}], $CellContext`p =
Row[{"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(P\)], \
\(2\)]\) = ", 2/3 - (1/3) $CellContext`AA - (1/
3) $CellContext`DD}], $CellContext`h =
Row[{"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(H\)], \
\(2\)]\) = ", 2/3 - (1/3) $CellContext`AA - (1/
3) $CellContext`DD + $CellContext`AA $CellContext`DD}], \
$CellContext`m =
Row[{"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(M\)], \
\(2\)]\) = ", 2/3 + (1/6) $CellContext`AA + (1/
6) $CellContext`DD - $CellContext`AA $CellContext`DD + (1/
2) Abs[$CellContext`AA - $CellContext`DD]}], \
$CellContext`l = Row[{
"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(L\)], \
\(2\)]\) =", 2/3 + (1/6) $CellContext`AA + (1/
6) $CellContext`DD - $CellContext`AA $CellContext`DD - (1/
2) Abs[$CellContext`AA - $CellContext`DD]}], \
$CellContext`t =
Row[{"\!\(\*SuperscriptBox[SubscriptBox[\(\[Kappa]\), \(T\)], \
\(2\)]\) =", (1/9) (1 - $CellContext`AA) (1 - $CellContext`DD) + (4/9)
Sqrt[(1 - $CellContext`AA) (1 - $CellContext`DD) (1 +
2 $CellContext`AA) (1 + 2 $CellContext`DD)]}]},
Which[
And[$CellContext`AA > 0, $CellContext`DD >
0, $CellContext`f $CellContext`g $CellContext`c > 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`a}, {"Min = ", $CellContext`p}}],
And[$CellContext`AA >= 0, $CellContext`DD >=
0, $CellContext`f $CellContext`g $CellContext`c <= 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`a}, {"Min = ", $CellContext`p}}],
And[$CellContext`AA $CellContext`DD <= 0, $CellContext`c >=
0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`m}, {"Min = ", $CellContext`h}}],
And[$CellContext`AA $CellContext`DD <
0, $CellContext`e $CellContext`c <
0, $CellContext`f $CellContext`g < 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`m}, {"Min = ", $CellContext`t}}],
And[$CellContext`AA $CellContext`DD <
0, $CellContext`f $CellContext`g >= 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`m}, {"Min = ", $CellContext`l}}],
And[$CellContext`AA <= 0, $CellContext`DD <=
0, $CellContext`e >= 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`h}, {"Min = ", $CellContext`a}}],
And[$CellContext`AA $CellContext`DD < 0, $CellContext`e <= 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`m}, {"Min = ", $CellContext`a}}],
And[$CellContext`AA <= 0, $CellContext`DD <=
0, $CellContext`f $CellContext`g <= 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`h}, {"Min = ", $CellContext`l}}],
And[$CellContext`AA <= 0, $CellContext`DD <=
0, $CellContext`f $CellContext`g $CellContext`e < 0],
Grid[{{"\[LeftAngleBracket]\!\(\*SuperscriptBox[\(\[Kappa]\), \
\(2\)]\)\[RightAngleBracket] = ",
Chop[(1/3) (1 - $CellContext`DD) + (1/3) (
1 - $CellContext`AA) + $CellContext`DD (
1 - $CellContext`AA)
Cos[$CellContext`thetaD Degree]^2 + $CellContext`AA (
1 - $CellContext`DD)
Cos[$CellContext`thetaA
Degree]^2 + ($CellContext`AA $CellContext`DD) (
Sin[$CellContext`thetaD Degree]
Sin[$CellContext`thetaA Degree]
Cos[$CellContext`\[Epsilon] Degree] - 2
Cos[$CellContext`thetaD Degree]
Cos[$CellContext`thetaA Degree])^2]}, {
"Max = ", $CellContext`h}, {
"Min = ", $CellContext`t}}]]]}}]]}]}, Center]],
Blank[],
TabView[{"\[CapitalPhi]" -> Pane[
Column[{
Row[{
Style[
"\"\[CapitalPhi]\" the angle between the ", FontFamily ->
"Helvetica"],
OpenerView[{
Style["projections", FontFamily -> "Helvetica"],
Style[
"These projections are shown in red at the plane (which \
disappears when the \"show-plane\" slider is at the extreme left position",
FontFamily -> "Helvetica"]}],
Style[
" of the donor and accptor axes on a plane perpendicular ",
FontFamily -> "Helvetica"]}],
OpenerView[{"More Information",
Column[{
OpenerView[{"In Depth Explanation", "Words go here"}]}]}]}], {
306, 200}, Scrollbars -> True],
"\!\(\*SubscriptBox[\(\[CapitalTheta]\), \(A\)]\)" -> Pane[
Column[{
Row[{
Style[
"\"\!\(\*SubscriptBox[\(\[CapitalTheta]\), \(A\)]\)\" = the \
angle between the acceptor ", FontFamily -> "Helvetica"],
OpenerView[{
Style["axis", FontFamily -> "Helvetica"],
Style[
"The axis for the acceptor appears as a dotted line when the \
depolarization factor, a, is set equal to 1. In general it is the axis of the \
ellipsoid representing the orientational distribution of the transition \
moment of the acceptor.", FontFamily -> "Helvetica"]}],
Style[" and the connection ", FontFamily -> "Helvetica"],
OpenerView[{
Style["line", FontFamily -> "Helvetica"],
Style[
"This connection is shown as a blue line.", FontFamily ->
"Helvetica"]}]}],
OpenerView[{"More Information",
Column[{
OpenerView[{"In Depth Explanation", "Words go here"}]}]}]}], {
306, 200}, Scrollbars -> True],
"\!\(\*SubscriptBox[\(\[CapitalTheta]\), \(D\)]\)" -> Pane[
Column[{
Row[{
Style[
"\"\!\(\*SubscriptBox[\(\[CapitalTheta]\), \(D\)]\)\" = the \
angle between the donor ", FontFamily -> "Helvetica"],
OpenerView[{
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