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author | toma <toma@283d02a7-25f6-0310-bc7c-ecb5cbfe19da> | 2009-11-25 17:56:58 +0000 |
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committer | toma <toma@283d02a7-25f6-0310-bc7c-ecb5cbfe19da> | 2009-11-25 17:56:58 +0000 |
commit | ce599e4f9f94b4eb00c1b5edb85bce5431ab3df2 (patch) | |
tree | d3bb9f5d25a2dc09ca81adecf39621d871534297 /doc/kstars/blackbody.docbook | |
download | tdeedu-ce599e4f9f94b4eb00c1b5edb85bce5431ab3df2.tar.gz tdeedu-ce599e4f9f94b4eb00c1b5edb85bce5431ab3df2.zip |
Copy the KDE 3.5 branch to branches/trinity for new KDE 3.5 features.
BUG:215923
git-svn-id: svn://anonsvn.kde.org/home/kde/branches/trinity/kdeedu@1054174 283d02a7-25f6-0310-bc7c-ecb5cbfe19da
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diff --git a/doc/kstars/blackbody.docbook b/doc/kstars/blackbody.docbook new file mode 100644 index 00000000..84b8ba3a --- /dev/null +++ b/doc/kstars/blackbody.docbook @@ -0,0 +1,169 @@ +<sect1 id="ai-blackbody"> + +<sect1info> + +<author> +<firstname>Jasem</firstname> +<surname>Mutlaq</surname> +<affiliation><address> +</address></affiliation> +</author> +</sect1info> + +<title>Blackbody Radiation</title> +<indexterm><primary>Blackbody Radiation</primary> +<seealso>Star Colors and Temperatures</seealso> +</indexterm> + +<para> +A <firstterm>blackbody</firstterm> refers to an opaque object that +emits <firstterm>thermal radiation</firstterm>. A perfect +blackbody is one that absorbs all incoming light and does not +reflect any. At room temperature, such an object would +appear to be perfectly black (hence the term +<emphasis>blackbody</emphasis>). However, if heated to a high +temperature, a blackbody will begin to glow with +<firstterm>thermal radiation</firstterm>. +</para> + +<para> +In fact, all objects emit thermal radiation (as long as their +temperature is above Absolute Zero, or -273.15 degrees Celsius), +but no object emits thermal radiation perfectly; rather, they are +better at emitting/absorbing some wavelengths of light than others. +These uneven efficiencies make it difficult to study the interaction +of light, heat and matter using normal objects. +</para> + +<para> +Fortunately, it is possible to construct a nearly-perfect blackbody. +Construct a box made of a thermally conductive material, such as +metal. The box should be completely closed on all sides, so that the +inside forms a cavity that does not receive light from the +surroundings. Then, make a small hole somewhere on the box. +The light coming out of this hole will almost perfectly resemble the +light from an ideal blackbody, for the temperature of the air inside +the box. +</para> + +<para> +At the beginning of the 20th century, scientists Lord Rayleigh, +and Max Planck (among others) studied the blackbody +radiation using such a device. After much work, Planck was able to +empirically describe the intensity of light emitted by a blackbody as a +function of wavelength. Furthermore, he was able to describe how this +spectrum would change as the temperature changed. Planck's work on +blackbody radiation is one of the areas of physics that led to the +foundation of the wonderful science of Quantum Mechanics, but that is +unfortunately beyond the scope of this article. +</para> + +<para> +What Planck and the others found was that as the temperature of a +blackbody increases, the total amount of light emitted per +second increases, and the wavelength of the spectrum's peak shifts to +bluer colors (see Figure 1). +</para> + +<para> +<mediaobject> +<imageobject> +<imagedata fileref="blackbody.png" format="PNG"/> +</imageobject> +<caption><para><phrase>Figure 1</phrase></para></caption> +</mediaobject> +</para> + +<para> +For example, an iron bar becomes orange-red when heated to high temperatures and its color +progressively shifts toward blue and white as it is heated further. +</para> + +<para> +In 1893, German physicist Wilhelm Wien quantified the relationship between blackbody +temperature and the wavelength of the spectral peak with the +following equation: +</para> + +<para> +<mediaobject> +<imageobject> +<imagedata fileref="lambda_max.png" format="PNG"/> +</imageobject> +</mediaobject> +</para> + +<para> +where T is the temperature in Kelvin. Wien's law (also known as +Wien's displacement law) states that the +wavelength of maximum emission from a blackbody is inversely +proportional to its temperature. This makes sense; +shorter-wavelength (higher-frequency) light corresponds to +higher-energy photons, which you would expect from a +higher-temperature object. +</para> + +<para> +For example, the sun has an average temperature of 5800 K, so +its wavelength of maximum emission is given by: + +<mediaobject> +<imageobject> +<imagedata fileref="lambda_ex.png" format="PNG"/> +</imageobject> +</mediaobject> +</para> + +<para> +This wavelengths falls in the +green region of the visible light spectrum, but the sun's continuum +radiates photons both longer and shorter than lambda(max) and the +human eyes perceives the sun's color as yellow/white. +</para> + +<para> +In 1879, Austrian physicist Stephan Josef Stefan showed that +the luminosity, L, of a black body is proportional to the 4th power of its temperature T. +</para> + +<para> +<mediaobject> +<imageobject> +<imagedata fileref="luminosity.png" format="PNG"/> +</imageobject> +</mediaobject> +</para> + +<para> +where A is the surface area, alpha is a constant of proportionality, +and T is the temperature in Kelvin. That is, if we double the +temperature (e.g. 1000 K to 2000 K) then the total energy radiated +from a blackbody increase by a factor of 2^4 or 16. +</para> + +<para> +Five years later, Austrian physicist Ludwig Boltzman derived the same +equation and is now known as the Stefan-Boltzman law. If we assume a +spherical star with radius R, then the luminosity of such a star is +</para> + +<para> +<mediaobject> +<imageobject> +<imagedata fileref="luminosity_ex.png" format="PNG"/> +</imageobject> +</mediaobject> +</para> + +<para> +where R is the star radius in cm, and the alpha is the +Stefan-Boltzman constant, which has the value: + +<mediaobject> +<imageobject> +<imagedata fileref="alpha.png" format="PNG"/> +</imageobject> +</mediaobject> +</para> + +</sect1> |