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Notebook[{
Cell[TextData[{
  "Miscellaneous",
  StyleBox["`", "MB"],
  "BlackBodyRadiation",
  StyleBox["`", "MB"]
}], "Subsection",
  CellTags->{"S5.52.1", "1.1"}],

Cell["\<\
A body that absorbs all radiation incident on it is called an ideal \
black body. This package provides functions giving the basic properties of \
black\[Hyphen]body radiation at a specified temperature, and a function for \
plotting black\[Hyphen]body spectral distributions. \
\>", "Text",
  CellTags->{"S5.52.1", "1.2"}],

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\\)\\!\\(\\*StyleBox[\\\"\\\\\\\"]\\\\\\\"\\\", \\\"MR\\\"]\\) \"\>", \
\("wavelength of the maximum emission of a black body at the specified \
temperature"\)},
                {"\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\"TotalPower[\\\\\\\"\\\", \
\\\"MR\\\"]\\)\\!\\(\\*StyleBox[\\\"\\\\\\\"temp\\\\\\\"\\\", \
\\\"TI\\\"]\\)\\!\\(\\*StyleBox[\\\"\\\\\\\"]\\\\\\\"\\\", \\\"MR\\\"]\\) \
\"\>", "\<\"total power of a black body at the specified temperature\"\>"},
                {"\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\"MaxPower[\\\\\\\"\\\", \\\
\"MR\\\"]\\)\\!\\(\\*StyleBox[\\\"\\\\\\\"temp\\\\\\\"\\\", \\\"TI\\\"]\\)\\!\
\\(\\*StyleBox[\\\"\\\\\\\",\\\\\\\"\\\", \\\"MR\\\"]\\) \\!\\(\\*StyleBox[\\\
\"\\\\\\\"band\\\\\\\"\\\", \\\"TI\\\"]\\)\\!\\(\\*StyleBox[\\\"\\\\\\\"]\\\\\
\\\"\\\", \\\"MR\\\"]\\) \"\>", \("power of a black body at the specified \
temperature for the specified wavelength band about the peak wavelength "\)}
                },
              ColumnAlignments->{Right, Left}],
            GridBoxOptions->{RowLines->False}]],
        "2ColumnBox"], TraditionalForm]], "Text",
  CellTags->{"S5.52.1", "1.3"}],

Cell["Black\[Hyphen]body radiation properties. ", "Caption",
  CellTags->"S5.52.1"],

Cell["This loads the package. ", "MathCaption",
  CellTags->{"S5.52.1", "1.4"}],

Cell["<<Miscellaneous`BlackBodyRadiation`", "Input",
  CellLabel->"In[1]:= ",
  CellTags->"S5.52.1"],

Cell["\<\
The surface of the sun is about 5000 K. Assuming the sun is a black\
\[Hyphen]body radiator, this gives the wavelength at which its spectrum \
peaks. \
\>", "MathCaption",
  CellTags->{"S5.52.1", "1.5"}],

Cell[CellGroupData[{

Cell["PeakWavelength[5000 Kelvin]", "Input",
  CellLabel->"In[2]:= ",
  CellTags->"S5.52.1"],

Cell[BoxData[
    \(5.8`*^-7\ Meter\)], "Output",
  CellLabel->"Out[2]= ",
  CellTags->"S5.52.1"]
}, Open  ]],

Cell["\<\
This gives the total power radiated by a black body at a \
temperature of 5000 K. \
\>", "MathCaption",
  CellTags->{"S5.52.1", "1.6"}],

Cell[CellGroupData[{

Cell["TotalPower[5000 Kelvin]", "Input",
  CellLabel->"In[3]:= ",
  CellTags->"S5.52.1"],

Cell[BoxData[
    \(\(3.5440678365658976`*^7\ Watt\)\/Meter\^2\)], "Output",
  CellLabel->"Out[3]= ",
  CellTags->"S5.52.1"]
}, Open  ]],

Cell[TextData[{
  "This gives the radiative power in the wavelength interval of 0.1 ",
  Cell[BoxData[
      \(TraditionalForm\`\[Mu]\)], "InlineFormula"],
  " about the peak wavelength of a black body at a temperature of 5000 K. "
}], "MathCaption",
  CellTags->{"S5.52.1", "1.7"}],

Cell[CellGroupData[{

Cell["MaxPower[5000 Kelvin, 10^-7 Meter]", "Input",
  CellLabel->"In[4]:= ",
  CellTags->"S5.52.1"],

Cell[BoxData[
    \(\(4.017921927238333`*^6\ Watt\)\/Meter\^2\)], "Output",
  CellLabel->"Out[4]= ",
  CellTags->"S5.52.1"]
}, Open  ]],

Cell[BoxData[
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                  RowBox[{"\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\"BlackBodyProfile[\
\\\\\\\"\\\", \\\"MR\\\"]\\)\"\>", 
                    StyleBox[
                      
                      SubscriptBox["\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\"temp\\\\\
\\\"\\\", \\\"TI\\\"]\\)\"\>", "1"],
                      
                      "InlineFormula"], \
"\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\",\\\\\\\"\\\", \\\"MR\\\"]\\) \"\>", 
                    StyleBox[
                      
                      SubscriptBox["\<\"\\!\\(\\*StyleBox[\\\"\\\\\\\"temp\\\\\
\\\"\\\", \\\"TI\\\"]\\)\"\>", "2"],
                      
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\\!\\(\\*StyleBox[\\\"\\\\\\\"]\\\\\\\"\\\", \\\"MR\\\"]\\) \"\>"}], \("plot \
the black\[Hyphen]body spectral distribution profiles at the specified \
temperatures "\)}
                },
              ColumnAlignments->{Right, Left}],
            GridBoxOptions->{RowLines->False}]],
        "2ColumnBox"], TraditionalForm]], "Text",
  CellTags->{"S5.52.1", "1.8"}],

Cell["Plotting black\[Hyphen]body profiles. ", "Caption",
  CellTags->"S5.52.1"],

Cell["\<\
This gives the spectral distribution of radiation from a black body \
for three different temperatures. \
\>", "MathCaption",
  CellTags->{"S5.52.1", "1.9"}],

Cell[CellGroupData[{

Cell["\<\
BlackBodyProfile[4000 Kelvin, 5000 Kelvin, 6000 Kelvin,
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\>", "Input",
  CellLabel->"In[5]:= ",
  CellTags->"S5.52.1"],

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