Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; plgContentJComments has a deprecated constructor in /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php on line 25 Call Stack: 0.0001 362488 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0575 1211880 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0575 1211880 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1335 4127416 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1350 4155112 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1358 4172824 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1360 4203344 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1370 4226064 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1370 4226064 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.1830 4903648 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.1867 5095800 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.1873 5116728 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.1996 5329072 13. Joomla\CMS\Plugin\PluginHelper::importPlugin() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:189 0.1997 5329328 14. Joomla\CMS\Plugin\PluginHelper::import() /var/www/astarmathsandphysics/libraries/src/Plugin/PluginHelper.php:182

Compton Scattering

Compton scattering is a type of scattering that X-rays and gamma rays undergo in matter. The elastic scattering – implying conservation of energy - of photons in matter results in a decrease in energy (increase in wavelength)of an X-ray or gamma ray photon, called the Compton effect. Part of the energy of the X – Ray or gamma ray, which in the diagram below enters from the left with wavelengthis transferred to a scattering electron, indicated in the diagram below by the black arrow directed to the bottom right, which recoils and is ejected from its atom, and the rest of the energy is taken by the scattered, degraded photon which travels towards the top right.

The Compton effect is governed by the formula

Proof: If the electron is initially at rest then it's energy is it's rest mass energy, and afterwards it's energy is determined by the relativistic equation

Conservation of energy impliesrearrangement of which gives(1)

Conservation of momentum impliesor

The dot product property gives

for a photon hence(2)

PutAfter some simplification we obtain

Divide both sides byto obtainand becausewe have