(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 7739, 243] NotebookOptionsPosition[ 6837, 206] NotebookOutlinePosition[ 7206, 222] CellTagsIndexPosition[ 7163, 219] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"d\[Sigma]d\[CapitalOmega]", "[", RowBox[{ "Nsc_", ",", "L_", ",", "k_", ",", "\[Alpha]path_", ",", "Ntarget_", ",", "Adet_"}], "]"}], "=", FractionBox[ RowBox[{"Nsc", RowBox[{"(", RowBox[{ SuperscriptBox["L", "2"], "+", SuperscriptBox["2.5", "2"]}], ")"}]}], RowBox[{ FractionBox["k", "\[Alpha]path"], "Ntarget", " ", "Adet", " ", RowBox[{"Cos", "[", RowBox[{"ArcTan", "[", FractionBox["2.5", "L"], "]"}], "]"}]}]]}]], "Input", CellChangeTimes->{{3.40050605634375*^9, 3.400506222171875*^9}}], Cell[BoxData[ FractionBox[ RowBox[{ SqrtBox[ RowBox[{"1", "+", FractionBox["6.25`", SuperscriptBox["L", "2"]]}]], " ", RowBox[{"(", RowBox[{"6.25`", "\[InvisibleSpace]", "+", SuperscriptBox["L", "2"]}], ")"}], " ", "Nsc", " ", "\[Alpha]path"}], RowBox[{"Adet", " ", "k", " ", "Ntarget"}]]], "Output", CellChangeTimes->{3.400506228*^9}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ErrorFunction", "[", RowBox[{ RowBox[{"d\[Sigma]d\[CapitalOmega]", "[", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "]"}], ",", RowBox[{"{", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "}"}], ",", RowBox[{"{", RowBox[{"2.3017", ",", "2.5", ",", "688466", ",", "62.5", ",", RowBox[{"8.45", "*", SuperscriptBox["10", "19"]}], ",", ".25"}], "}"}], ",", RowBox[{"{", RowBox[{".0619", ",", ".1", ",", "5312", ",", "0", ",", "0", ",", ".1"}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4005062468125*^9, 3.400506304015625*^9}, { 3.400506346046875*^9, 3.40050651103125*^9}, 3.400533430328125*^9, { 3.4005337209375*^9, 3.40053372134375*^9}}], Cell[BoxData["7.948998885107243`*^-23"], "Output", CellChangeTimes->{ 3.4005065188125*^9, {3.40053343171875*^9, 3.40053345275*^9}, 3.400533749421875*^9}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ErrorFunction", "[", RowBox[{ RowBox[{"d\[Sigma]d\[CapitalOmega]", "[", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "]"}], ",", RowBox[{"{", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "}"}], ",", RowBox[{"{", RowBox[{"1.2217", ",", "5", ",", "688466", ",", "62.5", ",", RowBox[{"8.45", "*", SuperscriptBox["10", "19"]}], ",", ".25"}], "}"}], ",", RowBox[{"{", RowBox[{".0451", ",", ".1", ",", "5312", ",", "0", ",", "0", ",", ".1"}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4005065809375*^9, 3.400506625390625*^9}, 3.40053343478125*^9, {3.400533725125*^9, 3.40053372553125*^9}}], Cell[BoxData["8.669479952516783`*^-23"], "Output", CellChangeTimes->{ 3.400506639171875*^9, 3.40053345384375*^9, {3.400533786234375*^9, 3.400533796109375*^9}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ErrorFunction", "[", RowBox[{ RowBox[{"d\[Sigma]d\[CapitalOmega]", "[", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "]"}], ",", RowBox[{"{", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "}"}], ",", RowBox[{"{", RowBox[{"1.1817", ",", "10", ",", "688466", ",", "62.5", ",", RowBox[{"8.45", "*", SuperscriptBox["10", "19"]}], ",", ".25"}], "}"}], ",", RowBox[{"{", RowBox[{".0444", ",", ".1", ",", "5312", ",", "0", ",", "0", ",", ".1"}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4005065809375*^9, 3.400506625390625*^9}, { 3.400506684484375*^9, 3.400506738078125*^9}, 3.40053343571875*^9, { 3.40053372828125*^9, 3.400533728671875*^9}}], Cell[BoxData["2.5779450668632227`*^-22"], "Output", CellChangeTimes->{3.40050674234375*^9, 3.400533455640625*^9, 3.4005338120625*^9}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ErrorFunction", "[", RowBox[{ RowBox[{"d\[Sigma]d\[CapitalOmega]", "[", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "]"}], ",", RowBox[{"{", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "}"}], ",", RowBox[{"{", RowBox[{".9833", ",", "15", ",", "688466", ",", "62.5", ",", RowBox[{"8.45", "*", SuperscriptBox["10", "19"]}], ",", ".25"}], "}"}], ",", RowBox[{"{", RowBox[{".0405", ",", ".1", ",", "5312", ",", "0", ",", "0", ",", ".1"}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4005065809375*^9, 3.400506625390625*^9}, { 3.400506684484375*^9, 3.400506738078125*^9}, 3.40050677928125*^9, { 3.40050683240625*^9, 3.400506844671875*^9}, 3.400533436578125*^9, { 3.400533731140625*^9, 3.4005337315*^9}}], Cell[BoxData["4.573773148578237`*^-22"], "Output", CellChangeTimes->{ 3.40050685978125*^9, 3.400533456484375*^9, {3.400533822296875*^9, 3.4005338358125*^9}}] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"ErrorFunction", "[", RowBox[{ RowBox[{"d\[Sigma]d\[CapitalOmega]", "[", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "]"}], ",", RowBox[{"{", RowBox[{ "Nsc", ",", "L", ",", "k", ",", "\[Alpha]path", ",", "Ntarget", ",", "Adet"}], "}"}], ",", RowBox[{"{", RowBox[{".7283", ",", "20", ",", "688466", ",", "62.5", ",", RowBox[{"8.45", "*", SuperscriptBox["10", "19"]}], ",", ".25"}], "}"}], ",", RowBox[{"{", RowBox[{".0348", ",", ".1", ",", "5312", ",", "0", ",", "0", ",", ".1"}], "}"}]}], "]"}]], "Input", CellChangeTimes->{{3.4005065809375*^9, 3.400506625390625*^9}, { 3.400506684484375*^9, 3.400506738078125*^9}, 3.40050677928125*^9, { 3.40050683240625*^9, 3.400506844671875*^9}, {3.40050688471875*^9, 3.400506901390625*^9}, 3.4005334375*^9, {3.400533734546875*^9, 3.400533735078125*^9}}], Cell[BoxData["5.961751102873386`*^-22"], "Output", CellChangeTimes->{3.400506908890625*^9, 3.400533457609375*^9, 3.40053383428125*^9}] }, Open ]] }, WindowSize->{615, 750}, WindowMargins->{{Automatic, 316}, {Automatic, 13}}, CellLabelAutoDelete->True, FrontEndVersion->"6.0 for Microsoft Windows (32-bit) (June 19, 2007)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[590, 23, 595, 17, 84, "Input"], Cell[1188, 42, 377, 11, 72, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[1602, 58, 832, 20, 76, "Input"], Cell[2437, 80, 160, 3, 30, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[2634, 88, 779, 19, 76, "Input"], Cell[3416, 109, 166, 3, 30, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[3619, 117, 833, 20, 76, "Input"], Cell[4455, 139, 137, 2, 30, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[4629, 146, 899, 21, 76, "Input"], Cell[5531, 169, 164, 3, 30, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[5732, 177, 948, 22, 76, "Input"], Cell[6683, 201, 138, 2, 30, "Output"] }, Open ]] } ] *) (* End of internal cache information *)