<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet href="http://www.blogger.com/styles/atom.css" type="text/css"?><feed xmlns='http://www.w3.org/2005/Atom' xmlns:openSearch='http://a9.com/-/spec/opensearchrss/1.0/' xmlns:blogger='http://schemas.google.com/blogger/2008' xmlns:georss='http://www.georss.org/georss' xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr='http://purl.org/syndication/thread/1.0'><id>tag:blogger.com,1999:blog-1132104099381095576</id><updated>2024-08-31T23:28:28.576-07:00</updated><category term="Plane of Reflection"/><category term="Spectroscopy book"/><category term="Symmetry Elements"/><category term="book"/><category term="information"/><category term="Alternating axis"/><category term="Atom"/><category term="Band"/><category term="Chemistry"/><category term="Chirality"/><category term="Continuous"/><category term="Group Theory"/><category term="Identity Operation"/><category term="Improper"/><category term="Improper Rotations"/><category term="Inversion"/><category term="Line"/><category term="Photoelectron"/><category term="Point Group Symmetry"/><category term="Proper Axis"/><category term="Proper Rotations"/><category term="Radiation"/><category term="Radioisotopes"/><category term="Rotation"/><category term="Spectra"/><category term="Spectroscopy"/><category term="Symmetric Elements"/><category term="Symmetry"/><category term="Symmetry Operations"/><category term="Symmetry in Chemistry"/><category term="Types"/><category term="X Ray"/><category term="center"/><category term="diagram"/><category term="guide"/><category term="horizontal reflection plane"/><category term="individuality operation"/><category term="integer"/><category term="isolated molecules"/><category term="mechanisms"/><category term="notes"/><category term="online guide"/><title type='text'>Spectroscopy Book</title><subtitle type='html'>Principles of Spectroscopy, Electronic Spectra of Atoms, Complexes, Rotational (Microwave) Spectroscopy, Vibrational, Raman, Ultraviolet, Point Group Symmetry, Point Group Symmetry, Symmetric Elements and Chirality, Plane, Center, Alternating axis, Symmetry, Group Theory, X-Ray, Electron Diffraction, Shapes of Inorganic Molecules</subtitle><link rel='http://schemas.google.com/g/2005#feed' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/posts/default'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default?redirect=false'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/'/><link rel='hub' href='http://pubsubhubbub.appspot.com/'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><generator version='7.00' uri='http://www.blogger.com'>Blogger</generator><openSearch:totalResults>8</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-8825658505402884067</id><published>2012-08-13T11:24:00.002-07:00</published><updated>2012-08-13T12:28:44.202-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Band"/><category scheme="http://www.blogger.com/atom/ns#" term="Continuous"/><category scheme="http://www.blogger.com/atom/ns#" term="Line"/><category scheme="http://www.blogger.com/atom/ns#" term="Spectra"/><category scheme="http://www.blogger.com/atom/ns#" term="Types"/><title type='text'>General Types of Spectra</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh50x1W4oFRbVuLL4ldSEwaO7lgC_P7aWz1OYXsAQhFaEchK3dYQAP5G_wHzEA9OU3IBPXL6r7QXNKf4YNo4xw3dKhZOGy_z8hSZfxbvJIJ3ChoHM4PXrkll6ASG7xTKZIeinMZhglcGD4/s1600/Spectra.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;170&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh50x1W4oFRbVuLL4ldSEwaO7lgC_P7aWz1OYXsAQhFaEchK3dYQAP5G_wHzEA9OU3IBPXL6r7QXNKf4YNo4xw3dKhZOGy_z8hSZfxbvJIJ3ChoHM4PXrkll6ASG7xTKZIeinMZhglcGD4/s320/Spectra.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Spectra&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class=&quot;g-plusone&quot; data-annotation=&quot;inline&quot; data-width=&quot;300&quot;&gt;
&lt;/div&gt;
&lt;script type=&quot;text/javascript&quot;&gt;
  (function() {
    var po = document.createElement(&#39;script&#39;); po.type = &#39;text/javascript&#39;; po.async = true;
    po.src = &#39;https://apis.google.com/js/plusone.js&#39;;
    var s = document.getElementsByTagName(&#39;script&#39;)[0]; s.parentNode.insertBefore(po, s);
  })();
&lt;/script&gt;

&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_facebook_send&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;a class=&quot;addthis_button_tweet&quot; href=&quot;&quot; tw:via=&quot;addthis&quot;&gt;&lt;/a&gt; 
&lt;br /&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_hyves_respect&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_stumbleupon_badge&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;a class=&quot;addthis_button_pinterest_pinit&quot; href=&quot;&quot; pi:pinit:layout=&quot;horizontal&quot; pi:pinit:media=&quot;http://images.apple.com/home/images/hero.jpg&quot; pi:pinit:url=&quot;http://www.apple.com&quot;&gt;&lt;/a&gt; 
&lt;a class=&quot;addthis_button_foursquare&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;br /&gt;
When the electromagnetic radiation passing through a prism or divided grille, and a set of lines, different wavelengths. This is called the spectrum. The scientific word was first used in the field of optics to describe the rainbow of colors in visible light when separated by a prism, but it is applied by analogy to many fields of optics. The different spectrum of light through a prism, a solid or liquid, clear, or created from glass which glows compression / uncompressed. When using more modern spectrum is a common denominator between the two extremes at each end.&lt;br /&gt;
&lt;br /&gt;
The &lt;b&gt;spectrum &lt;/b&gt;extends to other waves such as sound waves to be measured can be considered as a function of frequency. The absorption spectroscopy technique which measures the effect of the beam before and after the interaction with the sample for comparison. A continuous spectrum of the heat, close, while generating an absorption spectrum of the light of the results of something hot, through a dense cloud cooling, less dense gas. This is the type of spectrum produced by the sun, because the material is actually very dense and hot sun radiates energy in the form of light that brings out a cooler climate.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Three basic type of spectra are:-&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;1. Line spctrum: &lt;/b&gt;This form is due to the absorption or emission of waves by atoms, for example, the dark lines in the spectrum of the Sun absorption lines because of the presence of helium element.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;2. Band spectrum:&lt;/b&gt; Instead, a broader spectrum of one line. Emssion consists of waves or molecules absorb.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;3. Continuous spectrum: &lt;/b&gt;The spectrum is continuous, uninterrupted like a ghost. It color.eg continuum emergency tones, so sweet, a little &quot;dark. The problem caused by a specific mechanism. For example, the solar spectrum for the thermal emission. It may be the synchrotron emission (eg. , emission of pulsars), etc.&lt;br /&gt;
&lt;div&gt;
&lt;br /&gt;&lt;/div&gt;
For Information About DBMS Guide Check:- &lt;b&gt;&lt;a href=&quot;http://dbmsbook.blogspot.com/&quot; target=&quot;_blank&quot;&gt; http://dbmsbook.blogspot.com&lt;/a&gt;&lt;/b&gt;&lt;br /&gt;
For Information About Spectroscopy Book Check:- &lt;b&gt;&lt;a href=&quot;http://spectroscopybook.blogspot.com/&quot; target=&quot;_blank&quot;&gt;http://spectroscopybook.blogspot.com/&lt;/a&gt;&lt;/b&gt;&lt;br /&gt;
For Information About Operating System (OS) Book Check:- &lt;b&gt;&lt;a href=&quot;http://operatingsystembook.blogspot.com/&quot; target=&quot;_blank&quot;&gt;http://operatingsystembook.blogspot.com&lt;/a&gt;&lt;/b&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Check Labels For more Similar Jobs:-&lt;/b&gt;

&lt;br /&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style addthis_32x32_style&quot;&gt;
&lt;a class=&quot;addthis_button_preferred_1&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_2&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_3&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_4&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_compact&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_counter addthis_bubble_style&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;/div&gt;
&lt;script src=&quot;http://s7.addthis.com/js/250/addthis_widget.js#pubid=xa-4edb21720fede213&quot; type=&quot;text/javascript&quot;&gt;&lt;/script&gt;
&lt;/div&gt;
</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/8825658505402884067/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2012/08/general-types-of-spectra.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/8825658505402884067'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/8825658505402884067'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2012/08/general-types-of-spectra.html' title='General Types of Spectra'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh50x1W4oFRbVuLL4ldSEwaO7lgC_P7aWz1OYXsAQhFaEchK3dYQAP5G_wHzEA9OU3IBPXL6r7QXNKf4YNo4xw3dKhZOGy_z8hSZfxbvJIJ3ChoHM4PXrkll6ASG7xTKZIeinMZhglcGD4/s72-c/Spectra.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-4917092170706776022</id><published>2012-08-10T13:35:00.002-07:00</published><updated>2012-08-13T11:25:52.095-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Atom"/><category scheme="http://www.blogger.com/atom/ns#" term="mechanisms"/><category scheme="http://www.blogger.com/atom/ns#" term="Radiation"/><category scheme="http://www.blogger.com/atom/ns#" term="Radioisotopes"/><title type='text'>Introduction to Radiation</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi56JQ3-A0amDPQdLR3k-lRLSWpeo_L6yo1Y0MCQHuboVTr3hG-B2Hjuk1vGVVerGFB1he7u4oEJgiRys0PMr-baTxbeY-pSgHMY4To7AvdP8Bj4QsocXfOoGu_Q0EFBg6Aly8QXzPVo3M/s1600/Radiation.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi56JQ3-A0amDPQdLR3k-lRLSWpeo_L6yo1Y0MCQHuboVTr3hG-B2Hjuk1vGVVerGFB1he7u4oEJgiRys0PMr-baTxbeY-pSgHMY4To7AvdP8Bj4QsocXfOoGu_Q0EFBg6Aly8QXzPVo3M/s320/Radiation.jpg&quot; width=&quot;273&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Radiation&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class=&quot;g-plusone&quot; data-annotation=&quot;inline&quot; data-width=&quot;300&quot;&gt;
&lt;/div&gt;
&lt;script type=&quot;text/javascript&quot;&gt;
  (function() {
    var po = document.createElement(&#39;script&#39;); po.type = &#39;text/javascript&#39;; po.async = true;
    po.src = &#39;https://apis.google.com/js/plusone.js&#39;;
    var s = document.getElementsByTagName(&#39;script&#39;)[0]; s.parentNode.insertBefore(po, s);
  })();
&lt;/script&gt;

&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_facebook_send&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;a class=&quot;addthis_button_tweet&quot; href=&quot;&quot; tw:via=&quot;addthis&quot;&gt;&lt;/a&gt; 
&lt;br /&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_hyves_respect&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_stumbleupon_badge&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;a class=&quot;addthis_button_pinterest_pinit&quot; href=&quot;&quot; pi:pinit:layout=&quot;horizontal&quot; pi:pinit:media=&quot;http://images.apple.com/home/images/hero.jpg&quot; pi:pinit:url=&quot;http://www.apple.com&quot;&gt;&lt;/a&gt; 
&lt;a class=&quot;addthis_button_foursquare&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;br /&gt;
&lt;b&gt;Radiation &lt;/b&gt;is power that generates from a source and travels through several materials or through space. Light, heat and sound are category of radiation. Radiation subsists all around us. Radiation is in our homes as division of our radios and microwave ovens, and we feel really low levels each moment from our natural environment.&lt;br /&gt;
&lt;br /&gt;
Ionizing radiation contains the radiation that comes from equally natural and man-made radioactive resources such as cosmic rays, nuclear power plants, and x-ray machines. People are always uncovered to small amounts of ionizing radiation from the environment as they carry out their normal daily activities; this is recognized as background radiation. People use and uncovered to non-ionizing radiation sources each day. This type of radiation cannot take enough energy to ionize atoms or molecules.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;It is reason of damage through some mechanisms, including:-&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
(1) Breaking main chemical bonds.&lt;br /&gt;
(2) Generate free radicals: these are really reactive ions in the body that stop normal function and cause cellular and tissue injure when they react with biological pathways.&lt;br /&gt;
(3) Creating fresh, denigrative, chemical bonds among macromolecules that would otherwise not occur.&lt;br /&gt;
(4) Straight damaging molecules like DNA, RNA, and proteins that are liable for normal cellular function.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Atoms: - &lt;/b&gt;An atom is of a nucleus – invented of protons and neutrons &amp;nbsp;and electrons that range the nucleus. The nucleus brings a positive charge – protons are positively charged, and neutrons don’t hold a charge.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Radioisotopes :-&lt;/b&gt; Nuclides of an constituent that have the similar number of protons, but not the equivalent number of neutrons, are known as isotopes of that constituent.&lt;br /&gt;
&lt;br /&gt;
For Information About DBMS Guide Check:- &lt;b&gt;&lt;a href=&quot;http://dbmsbook.blogspot.com/&quot; target=&quot;_blank&quot;&gt; http://dbmsbook.blogspot.com&lt;/a&gt;&lt;/b&gt;&lt;br /&gt;
For Information About Spectroscopy Book Check:- &lt;b&gt;&lt;a href=&quot;http://spectroscopybook.blogspot.com/&quot; target=&quot;_blank&quot;&gt;http://spectroscopybook.blogspot.com/&lt;/a&gt;&lt;/b&gt;&lt;br /&gt;
For Information About Operating System (OS) Book Check:- &lt;b&gt;&lt;a href=&quot;http://operatingsystembook.blogspot.com/&quot; target=&quot;_blank&quot;&gt;http://operatingsystembook.blogspot.com&lt;/a&gt;&lt;/b&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Check Labels For more Similar Jobs:-&lt;/b&gt;

&lt;br /&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style addthis_32x32_style&quot;&gt;
&lt;a class=&quot;addthis_button_preferred_1&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_2&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_3&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_4&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_compact&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_counter addthis_bubble_style&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;/div&gt;
&lt;script src=&quot;http://s7.addthis.com/js/250/addthis_widget.js#pubid=xa-4edb21720fede213&quot; type=&quot;text/javascript&quot;&gt;&lt;/script&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/4917092170706776022/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2012/08/introduction-to-radiation.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/4917092170706776022'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/4917092170706776022'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2012/08/introduction-to-radiation.html' title='Introduction to Radiation'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi56JQ3-A0amDPQdLR3k-lRLSWpeo_L6yo1Y0MCQHuboVTr3hG-B2Hjuk1vGVVerGFB1he7u4oEJgiRys0PMr-baTxbeY-pSgHMY4To7AvdP8Bj4QsocXfOoGu_Q0EFBg6Aly8QXzPVo3M/s72-c/Radiation.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-1208946580403981707</id><published>2012-08-10T13:22:00.003-07:00</published><updated>2012-08-10T13:22:34.916-07:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="book"/><category scheme="http://www.blogger.com/atom/ns#" term="guide"/><category scheme="http://www.blogger.com/atom/ns#" term="notes"/><category scheme="http://www.blogger.com/atom/ns#" term="Photoelectron"/><category scheme="http://www.blogger.com/atom/ns#" term="Spectroscopy"/><category scheme="http://www.blogger.com/atom/ns#" term="X Ray"/><title type='text'>X-Ray Photoelectron Spectroscopy</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD3VYBFb71VR9WbMOq6tRSK3SgkQGnlkeplXCzY8BLW9RUVhwPf_cT5ORTvtv9bgGO_OzHQwQINK9-yE_HPfglx2CSxaHc4vwXPwa_kYKWuFZQDIgpsGhMyphVXuISjEJCQfsgxDLSBTU/s1600/photoelectron+Spectroscopy.png&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;320&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD3VYBFb71VR9WbMOq6tRSK3SgkQGnlkeplXCzY8BLW9RUVhwPf_cT5ORTvtv9bgGO_OzHQwQINK9-yE_HPfglx2CSxaHc4vwXPwa_kYKWuFZQDIgpsGhMyphVXuISjEJCQfsgxDLSBTU/s320/photoelectron+Spectroscopy.png&quot; width=&quot;307&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;Photoelectron Spectroscopy&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;
&lt;div class=&quot;g-plusone&quot; data-annotation=&quot;inline&quot; data-width=&quot;300&quot;&gt;
&lt;/div&gt;
&lt;script type=&quot;text/javascript&quot;&gt;
  (function() {
    var po = document.createElement(&#39;script&#39;); po.type = &#39;text/javascript&#39;; po.async = true;
    po.src = &#39;https://apis.google.com/js/plusone.js&#39;;
    var s = document.getElementsByTagName(&#39;script&#39;)[0]; s.parentNode.insertBefore(po, s);
  })();
&lt;/script&gt;

&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_facebook_send&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;a class=&quot;addthis_button_tweet&quot; href=&quot;&quot; tw:via=&quot;addthis&quot;&gt;&lt;/a&gt; 
&lt;br /&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_hyves_respect&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style&quot;&gt;
&lt;a class=&quot;addthis_button_stumbleupon_badge&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;/div&gt;
&lt;a class=&quot;addthis_button_pinterest_pinit&quot; href=&quot;&quot; pi:pinit:layout=&quot;horizontal&quot; pi:pinit:media=&quot;http://images.apple.com/home/images/hero.jpg&quot; pi:pinit:url=&quot;http://www.apple.com&quot;&gt;&lt;/a&gt; 
&lt;a class=&quot;addthis_button_foursquare&quot; href=&quot;&quot;&gt;&lt;/a&gt; 
&lt;br /&gt;
&lt;b&gt;X-ray photoelectron spectroscopy (XPS)&lt;/b&gt;, also recognized as a request for, since the surface of the most ordinary technique used is to analyze the relative easiness of application and data. Interpretation. X-ray level of electrons towards the bottom of the expulsion of the sample. Photoemitted binding energy is an essential function. And energy characteristics of the item was posted. Which the sample is irradiated by a photoelectron monoenergetic X-rays are emitted. The surface of the sample. The kinetic energy, the X-ray photoelectron, h. Electron binding energy, Eb, the energy is given by.&lt;br /&gt;
&lt;br /&gt;
Ek = h - Eb&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;The experimentally measured energies of the photoelectrons are given by:&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
Ek = h - Eb - Ew&lt;br /&gt;
&lt;br /&gt;
Ew, it is the work of the spectrometer.&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;XPS is used to measure: -&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
Surface elemental composition (usually high-level 1-10 nm)&lt;br /&gt;
Empirical formula of pure materials&lt;br /&gt;
The basic composition of the upper surface (or line profiling or mapping) Uniformity&lt;br /&gt;
The pollution of surface elements&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Photoelectron spectroscopy, X-ray and other uses (XPS)&lt;/b&gt;&lt;br /&gt;
&lt;br /&gt;
Inorganic compounds, metals, alloys, polymers, semiconductors, components, catalysts, glass, ceramics, paint, ink, paper, wood, plant fragments, the analysis of make-up, Teeth, bones, medical implants, biomaterials, sticky oils, adhesives, ion exchange materials, and many others.&lt;br /&gt;
&lt;br /&gt;
For Information About DBMS Guide Check:- &lt;b&gt;&lt;a href=&quot;http://dbmsbook.blogspot.com/&quot; target=&quot;_blank&quot;&gt; http://dbmsbook.blogspot.com&lt;/a&gt;&lt;/b&gt;&lt;br /&gt;
For Information About Spectroscopy Book Check:- &lt;b&gt;&lt;a href=&quot;http://spectroscopybook.blogspot.com/&quot; target=&quot;_blank&quot;&gt;http://spectroscopybook.blogspot.com/&lt;/a&gt;&lt;/b&gt;&lt;br /&gt;
For Information About Operating System (OS) Book Check:- &lt;b&gt;&lt;a href=&quot;http://operatingsystembook.blogspot.com/&quot; target=&quot;_blank&quot;&gt;http://operatingsystembook.blogspot.com&lt;/a&gt;&lt;/b&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;b&gt;Check Labels For more Similar Jobs:-&lt;/b&gt;

&lt;br /&gt;
&lt;div class=&quot;addthis_toolbox addthis_default_style addthis_32x32_style&quot;&gt;
&lt;a class=&quot;addthis_button_preferred_1&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_2&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_3&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_preferred_4&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_button_compact&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;a class=&quot;addthis_counter addthis_bubble_style&quot; href=&quot;http://www.blogger.com/blogger.g?blogID=1626438249780875805&quot;&gt;&lt;/a&gt;
&lt;/div&gt;
&lt;script src=&quot;http://s7.addthis.com/js/250/addthis_widget.js#pubid=xa-4edb21720fede213&quot; type=&quot;text/javascript&quot;&gt;&lt;/script&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/1208946580403981707/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2012/08/x-ray-photoelectron-spectroscopy.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/1208946580403981707'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/1208946580403981707'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2012/08/x-ray-photoelectron-spectroscopy.html' title='X-Ray Photoelectron Spectroscopy'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD3VYBFb71VR9WbMOq6tRSK3SgkQGnlkeplXCzY8BLW9RUVhwPf_cT5ORTvtv9bgGO_OzHQwQINK9-yE_HPfglx2CSxaHc4vwXPwa_kYKWuFZQDIgpsGhMyphVXuISjEJCQfsgxDLSBTU/s72-c/photoelectron+Spectroscopy.png" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-2050564680901269463</id><published>2011-12-05T04:16:00.000-08:00</published><updated>2011-12-05T04:26:18.146-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="book"/><category scheme="http://www.blogger.com/atom/ns#" term="Chemistry"/><category scheme="http://www.blogger.com/atom/ns#" term="information"/><category scheme="http://www.blogger.com/atom/ns#" term="online guide"/><category scheme="http://www.blogger.com/atom/ns#" term="Spectroscopy book"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetry"/><title type='text'>What is Symmetry?</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRJNVKIZA9KSgXuwClc7o8x7Alekomaw5JsF17jz9yHRleBVLnwPrvGI36RTf9gGP4lh9_zOhVObt5QHBZmaSnaObjBPhmi40y5Mrd0VWWfN7Q7t6deQdUnaPo4tGeh0vKgdrturKYofE/s1600/images.jpg&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRJNVKIZA9KSgXuwClc7o8x7Alekomaw5JsF17jz9yHRleBVLnwPrvGI36RTf9gGP4lh9_zOhVObt5QHBZmaSnaObjBPhmi40y5Mrd0VWWfN7Q7t6deQdUnaPo4tGeh0vKgdrturKYofE/s1600/images.jpg&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue; font-size: small;&quot;&gt;&lt;b&gt;Symmetry in Chemistry&lt;br /&gt;
&lt;/b&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div class=&quot;MsoNormal&quot;&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;Symmetry&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;usually conveys two most important meanings. The first is an indefinite sense of harmonious or aesthetically pleasant proportionality and balance;&lt;sup&gt; &lt;/sup&gt;such that it imitates beauty or perfection. The second meaning is a specific and definite idea of balance or &quot;patterned self-similarity&quot; that can be established or proved according to the policy of a&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;ceremonial system: by&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;geometry and&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; font-family: Arial;&quot;&gt;physics.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/2050564680901269463/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/what-is-symmetry.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/2050564680901269463'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/2050564680901269463'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/what-is-symmetry.html' title='What is Symmetry?'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRJNVKIZA9KSgXuwClc7o8x7Alekomaw5JsF17jz9yHRleBVLnwPrvGI36RTf9gGP4lh9_zOhVObt5QHBZmaSnaObjBPhmi40y5Mrd0VWWfN7Q7t6deQdUnaPo4tGeh0vKgdrturKYofE/s72-c/images.jpg" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-4866807924171427746</id><published>2011-12-05T04:10:00.000-08:00</published><updated>2011-12-05T04:10:04.322-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="horizontal reflection plane"/><category scheme="http://www.blogger.com/atom/ns#" term="individuality operation"/><category scheme="http://www.blogger.com/atom/ns#" term="integer"/><category scheme="http://www.blogger.com/atom/ns#" term="Point Group Symmetry"/><title type='text'>Point Group Symmetry</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1DT7phrijSTcCkWXJ60ijVX8AxMerxgFLIK0sHTMdWkiDgrcSzK8-fcbaQF0fUWLxhjJWvG9GVQ2M03qAWOLbOgrk91PD_pnu0qqrY56rSsQssLajb275ZqqXxOVrm8aPUX1CXls-mTw/s1600/symflow.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;171&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1DT7phrijSTcCkWXJ60ijVX8AxMerxgFLIK0sHTMdWkiDgrcSzK8-fcbaQF0fUWLxhjJWvG9GVQ2M03qAWOLbOgrk91PD_pnu0qqrY56rSsQssLajb275ZqqXxOVrm8aPUX1CXls-mTw/s320/symflow.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue; font-size: small;&quot;&gt;&lt;b&gt;Point Group Symmetry&lt;/b&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;br /&gt;
&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 11pt;&quot;&gt;&lt;b&gt;Point group symmetry&lt;/b&gt; is a significant property of molecules extensively used in several branches of chemistry: spectroscopy, quantum chemistry and crystallography.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 11pt;&quot;&gt;An entity point group is characterizing through a set of symmetry operations:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;ul type=&quot;disc&quot;&gt;&lt;li class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;background: white; font-size: 11.0pt;&quot;&gt;E - the individuality operation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;background: white; font-size: 11.0pt;&quot;&gt;C&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;-      rotation by 2π/n angle *&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;background: white; font-size: 11.0pt;&quot;&gt;S&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;-      improper rotation (rotation by 2π/n angle and indication in the plane      perpendicular to the axis)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;background: white; font-size: 11.0pt;&quot;&gt;σ&lt;sub&gt;h&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;-      horizontal reflection plane (perpendicular to the principal axis) **&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;background: white; font-size: 11.0pt;&quot;&gt;σ&lt;sub&gt;v&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;-      vertical reflection plane (encloses the principal axis)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;li class=&quot;MsoNormal&quot;&gt;&lt;span style=&quot;background: white; font-size: 11.0pt;&quot;&gt;σ&lt;sub&gt;d&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;-      diagonal reflection plane (encloses the principal axis and bisect the      angle among two C&lt;sub&gt;2&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;axes      perpendicular to the principal axis)&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;&lt;div class=&quot;MsoNormal&quot;&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 11pt;&quot;&gt;* - n is an integer&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 11pt;&quot;&gt;&lt;br /&gt;
&lt;span class=&quot;apple-style-span&quot;&gt;** - principal axis is a C&lt;sub&gt;n&lt;/sub&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;axis with the largest n.&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;font-size: 11.0pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-size: 11pt;&quot;&gt;Molecule belongs to a symmetry point group if it is untouched under all the symmetry operations of this group.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/4866807924171427746/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/point-group-symmetry.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/4866807924171427746'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/4866807924171427746'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/point-group-symmetry.html' title='Point Group Symmetry'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1DT7phrijSTcCkWXJ60ijVX8AxMerxgFLIK0sHTMdWkiDgrcSzK8-fcbaQF0fUWLxhjJWvG9GVQ2M03qAWOLbOgrk91PD_pnu0qqrY56rSsQssLajb275ZqqXxOVrm8aPUX1CXls-mTw/s72-c/symflow.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-3876889880278828446</id><published>2011-12-05T04:05:00.000-08:00</published><updated>2011-12-05T04:05:05.378-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Alternating axis"/><category scheme="http://www.blogger.com/atom/ns#" term="center"/><category scheme="http://www.blogger.com/atom/ns#" term="Chirality"/><category scheme="http://www.blogger.com/atom/ns#" term="diagram"/><category scheme="http://www.blogger.com/atom/ns#" term="information"/><category scheme="http://www.blogger.com/atom/ns#" term="Plane of Reflection"/><category scheme="http://www.blogger.com/atom/ns#" term="Spectroscopy book"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetric Elements"/><title type='text'>Symmetric Elements and Chirality</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;div class=&quot;separator&quot; style=&quot;clear: both; text-align: center;&quot;&gt;&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgW9uQtdLzwaEdzZPcJy_Nq7l5IOJLUJyKI0E1XXOb8t_7hi4INF60R2MkJLB0U94Hzpr_pKRTHQT0I0hsvP4q9IEphrRHzteGwDrwLevRTj-jHYQVdrLfw8GCsYUdVRdygDu86ypmn7QI/s1600/tecl4br2.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgW9uQtdLzwaEdzZPcJy_Nq7l5IOJLUJyKI0E1XXOb8t_7hi4INF60R2MkJLB0U94Hzpr_pKRTHQT0I0hsvP4q9IEphrRHzteGwDrwLevRTj-jHYQVdrLfw8GCsYUdVRdygDu86ypmn7QI/s1600/tecl4br2.gif&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;h1 style=&quot;margin-bottom: .0001pt; margin: 0in; mso-line-height-alt: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue; font-size: small;&quot;&gt;Symmetric Elements and Chirality&lt;/span&gt;&lt;/span&gt;&lt;/h1&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;The existence of a single chiral center point to chirality’s of a molecule. a new way to know chirality is to detect the existence of some symmetry elements.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;A molecule will not be chiral if it haves.:-&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;/div&gt;&lt;ul style=&quot;text-align: left;&quot;&gt;&lt;li&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;A plane of      symmetry (&lt;/span&gt;&lt;span class=&quot;c1&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;s&lt;/span&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;)&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;A center of      symmetry&amp;nbsp;&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;An n fold      alternating axis of symmetry (S&lt;/span&gt;&lt;sub style=&quot;background-color: white; font-family: Arial;&quot;&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;or C&lt;/span&gt;&lt;sub style=&quot;background-color: white; font-family: Arial;&quot;&gt;n&lt;/sub&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;) where n is an      even number.&lt;/span&gt;&lt;/li&gt;
&lt;li&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Arial; font-size: 12px;&quot;&gt;These three are known as elements of symmetry.&lt;/span&gt;&lt;/li&gt;
&lt;/ul&gt;&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Tahoma; font-size: 13.5pt;&quot;&gt; Plane of symmetry&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Tahoma; font-size: 13.5pt;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8WSV0i2AwGXqjFX53vGWzLJkxGO1UBPfJmztZ7uUQu2g7_s0cnj90TUK6tUUMQ36xBb8x-iQxWtCR3_KolCPrDMql2A5Qac4MiAQXxOIKfh9pFQ2GlF9WqYKo8WbcZb7XAixWZepoWz0/s1600/Plane+of+symmetry.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh8WSV0i2AwGXqjFX53vGWzLJkxGO1UBPfJmztZ7uUQu2g7_s0cnj90TUK6tUUMQ36xBb8x-iQxWtCR3_KolCPrDMql2A5Qac4MiAQXxOIKfh9pFQ2GlF9WqYKo8WbcZb7XAixWZepoWz0/s1600/Plane+of+symmetry.gif&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Tahoma; font-size: 18px; line-height: 19px;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue;&quot;&gt;Plane of symmetry&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background: white;&quot;&gt;A plane that separates an object into two equal halves is known as plane of symmetry. Its also known as mirror plane at the same time as it cuts a molecule into two parts, where one is the mirror image of the other. Molecules having such a plane are for all time inactive because of inside compensation. For e.g., meso tartaric acid has a plane of symmetry.&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;Mesotartaric acid&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;There are two symmetric carbon atoms. &amp;nbsp;They are consequently achiral. Therefore meso tartaric acid is optically inactive.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: 14.25pt;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Tahoma; font-size: 13.5pt;&quot;&gt;Center of symmetry&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSrgVlN_SQ2eiTvRHAvTP18YFiDHZYq-1Bb9HJD_rP4UVZoVfzu7hddC8jfH6kW6OjYRk6eWjUl5BEORNB1u9G1zNa0YryOqyNyZ7gojt9Fao9VfF2f0Pzzql54Qo95KDnCXtCgScm4XM/s1600/Center+of+symmetryBack.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSrgVlN_SQ2eiTvRHAvTP18YFiDHZYq-1Bb9HJD_rP4UVZoVfzu7hddC8jfH6kW6OjYRk6eWjUl5BEORNB1u9G1zNa0YryOqyNyZ7gojt9Fao9VfF2f0Pzzql54Qo95KDnCXtCgScm4XM/s1600/Center+of+symmetryBack.gif&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Tahoma; font-size: 18px; line-height: 19px;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue;&quot;&gt;Center of symmetry&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;The center of symmetry is an imaginary point in the molecule. If a line is drained from an atom or a group of the molecule to this imaginary point and then comprehensive to an equal distance ahead of the point, it meets the mirror image of the atom or group. For e.g., trans-1, 4-dimethyl-diketopiperazine has a axis of symmetry and consequently optically inactive.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;If a line is strained from methyl group on carbon 1 to the center of symmetry and comprehensive away from this point by an equal distance it meets the methyl group at carbon 4, consequently it is optically inactive.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Tahoma; font-size: 13.5pt;&quot;&gt;Alternating axis of symmetry&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjU5BNSyxXznAeks_8DFmmsXWFawVU5Lzzg_3KRnujRwLmiNqjYhDj8hyphenhyphenCoG_i8eZdAzz5GwC5crPjK0rei3WTwyzF2N9rHS2A3qkkQAKvQsT_lPhNCFgIoKoP4tCADH1ta-On4eJWgYIQ/s1600/0134c.JPG&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;119&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjU5BNSyxXznAeks_8DFmmsXWFawVU5Lzzg_3KRnujRwLmiNqjYhDj8hyphenhyphenCoG_i8eZdAzz5GwC5crPjK0rei3WTwyzF2N9rHS2A3qkkQAKvQsT_lPhNCFgIoKoP4tCADH1ta-On4eJWgYIQ/s320/0134c.JPG&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: Tahoma; font-size: 18px; line-height: 19px;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue;&quot;&gt;Alternating axis of symmetry&lt;/span&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;div style=&quot;line-height: 14.25pt;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial; font-family: Arial; font-size: 9pt;&quot;&gt;When a structure is spin throughout an angle of 2&lt;span class=&quot;c1&quot;&gt;p&lt;/span&gt;/n about an imaginary axis and then reflects across a plane perpendicular to the axis, an identical composition results.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/3876889880278828446/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/symmetric-elements-and-chirality.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/3876889880278828446'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/3876889880278828446'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/symmetric-elements-and-chirality.html' title='Symmetric Elements and Chirality'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgW9uQtdLzwaEdzZPcJy_Nq7l5IOJLUJyKI0E1XXOb8t_7hi4INF60R2MkJLB0U94Hzpr_pKRTHQT0I0hsvP4q9IEphrRHzteGwDrwLevRTj-jHYQVdrLfw8GCsYUdVRdygDu86ypmn7QI/s72-c/tecl4br2.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-6035508382176012242</id><published>2011-12-05T03:53:00.000-08:00</published><updated>2011-12-05T03:53:23.568-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Group Theory"/><category scheme="http://www.blogger.com/atom/ns#" term="Identity Operation"/><category scheme="http://www.blogger.com/atom/ns#" term="Improper Rotations"/><category scheme="http://www.blogger.com/atom/ns#" term="isolated molecules"/><category scheme="http://www.blogger.com/atom/ns#" term="Proper Rotations"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetry Elements"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetry in Chemistry"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetry Operations"/><title type='text'>Symmetry in Chemistry - Group Theory</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9ZDoV-ybIlAhJ04tv0ugQiOdzxRSq4AwoSfKp9tcJT6hz_qhv6aHNrft2J0zZg6IuIOA4YrG9mRmcoZFJBKUroj-wxmRL_M5V1dxAAMSI3kEp-FVKvx3PaDaL8WEMcGKX0kpKfDdT-Ks/s1600/flowchart.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9ZDoV-ybIlAhJ04tv0ugQiOdzxRSq4AwoSfKp9tcJT6hz_qhv6aHNrft2J0zZg6IuIOA4YrG9mRmcoZFJBKUroj-wxmRL_M5V1dxAAMSI3kEp-FVKvx3PaDaL8WEMcGKX0kpKfDdT-Ks/s1600/flowchart.gif&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue;&quot;&gt;&lt;b style=&quot;background-color: white; font-family: arial, sans-serif; font-size: small; line-height: 16px; text-align: -webkit-auto;&quot;&gt;Symmetry&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: arial, sans-serif; font-size: x-small; line-height: 16px;&quot;&gt;&amp;nbsp;in&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: arial, sans-serif; font-size: small; line-height: 16px; text-align: -webkit-auto;&quot;&gt;Chemistry&lt;/b&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;background-color: white; font-family: arial, sans-serif; font-size: x-small; line-height: 16px; text-align: -webkit-auto;&quot;&gt;&amp;nbsp;-&amp;nbsp;&lt;/span&gt;&lt;b style=&quot;background-color: white; font-family: arial, sans-serif; font-size: small; line-height: 16px; text-align: -webkit-auto;&quot;&gt;Group Theory&lt;/b&gt;&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;br /&gt;
&lt;b&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;Group Theory&lt;/span&gt;&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;is one of the most prevailing mathematical tools used in Quantum Chemistry and Spectroscopy. It permits the user to forecast, interpret, reduce, and often abridge complex theory and data.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;At its heart is the fact that the&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Set of Operations&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;related with the&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Symmetry Elements&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;of a molecule comprise a mathematical set known as a&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Group&lt;/b&gt;. This permits the application of the mathematical theorems allied with such groups to the&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Symmetry Operations&lt;/b&gt;.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;All&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Symmetry Operations&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;related with isolated molecules can be distinguished as Rotations:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(a)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Proper Rotations&lt;/b&gt;: C&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;; k = 1,......, n&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
When k = n, C&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= E, the Identity Operation&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
n designate a rotation of 360/n where n = 1,....&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(b)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Improper Rotations&lt;/b&gt;: S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;, k = 1,....., n&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
When k = 1, n = 1 S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= s , Reflection Operation&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
When k = 1, n = 2 S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= i , Inversion Operation&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot;&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;In general practice we distinguish&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;b&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;Five&lt;/span&gt;&lt;/b&gt;&lt;/span&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span class=&quot;apple-style-span&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;types of operation:&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(i)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;E&lt;/b&gt;, Identity Operation&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(ii)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;C&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;, Proper Rotation about an axis&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(iii)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;s&lt;/b&gt;, Reflection through a plane&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(iv)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;i&lt;/b&gt;, Inversion through a center&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(v)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;k&lt;/sup&gt;&lt;/b&gt;, Rotation about an axis followed by indication through a plane perpendicular to that axis.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;Each of these&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Symmetry Operations&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;is linked with a Symmetry Element which is a point, a line, or a plane concerning which the operation is performed such that the molecule&#39;s orientation and position prior to and after the operation are interchangeable.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;br /&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/6035508382176012242/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/symmetry-in-chemistry-group-theory.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/6035508382176012242'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/6035508382176012242'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/symmetry-in-chemistry-group-theory.html' title='Symmetry in Chemistry - Group Theory'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg9ZDoV-ybIlAhJ04tv0ugQiOdzxRSq4AwoSfKp9tcJT6hz_qhv6aHNrft2J0zZg6IuIOA4YrG9mRmcoZFJBKUroj-wxmRL_M5V1dxAAMSI3kEp-FVKvx3PaDaL8WEMcGKX0kpKfDdT-Ks/s72-c/flowchart.gif" height="72" width="72"/><thr:total>0</thr:total></entry><entry><id>tag:blogger.com,1999:blog-1132104099381095576.post-3357122799487827756</id><published>2011-12-05T03:48:00.000-08:00</published><updated>2011-12-05T03:48:03.583-08:00</updated><category scheme="http://www.blogger.com/atom/ns#" term="Improper"/><category scheme="http://www.blogger.com/atom/ns#" term="Inversion"/><category scheme="http://www.blogger.com/atom/ns#" term="Plane of Reflection"/><category scheme="http://www.blogger.com/atom/ns#" term="Proper Axis"/><category scheme="http://www.blogger.com/atom/ns#" term="Rotation"/><category scheme="http://www.blogger.com/atom/ns#" term="Symmetry Elements"/><title type='text'>The Symmetry Elements linked with a molecule are:-</title><content type='html'>&lt;div dir=&quot;ltr&quot; style=&quot;text-align: left;&quot; trbidi=&quot;on&quot;&gt;&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot;&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot;&gt;&lt;/div&gt;&lt;table align=&quot;center&quot; cellpadding=&quot;0&quot; cellspacing=&quot;0&quot; class=&quot;tr-caption-container&quot; style=&quot;margin-left: auto; margin-right: auto; text-align: center;&quot;&gt;&lt;tbody&gt;
&lt;tr&gt;&lt;td style=&quot;text-align: center;&quot;&gt;&lt;a href=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRNQq7beMRKBb4iTh-sgVxcTk28Twjm9BUTtzpUCCmI6-4deV6e_ebbyr4khEndiMoQ_F1QoA1JZooitHoHEX1Ck6BvtHZsSIaJIOOQtqI0IBJOL9C3sPlmRwtZBgJqJpYyiHn1BTBFyE/s1600/0005-009-samplesshap.gif&quot; imageanchor=&quot;1&quot; style=&quot;margin-left: auto; margin-right: auto;&quot;&gt;&lt;img border=&quot;0&quot; height=&quot;212&quot; src=&quot;https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRNQq7beMRKBb4iTh-sgVxcTk28Twjm9BUTtzpUCCmI6-4deV6e_ebbyr4khEndiMoQ_F1QoA1JZooitHoHEX1Ck6BvtHZsSIaJIOOQtqI0IBJOL9C3sPlmRwtZBgJqJpYyiHn1BTBFyE/s320/0005-009-samplesshap.gif&quot; width=&quot;320&quot; /&gt;&lt;/a&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;tr-caption&quot; style=&quot;text-align: center;&quot;&gt;&lt;span class=&quot;Apple-style-span&quot; style=&quot;color: blue;&quot;&gt;Symmetry Elements&lt;/span&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/tbody&gt;&lt;/table&gt;&lt;br /&gt;
&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(i) A&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Proper Axis of Rotation: C&lt;sub&gt;n&lt;/sub&gt;&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;where n = 1,....&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
This implies n-fold rotational symmetry about the axis.&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(ii) A&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Plane of Reflection: s&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
This implies bilateral symmetry concerning the plane.&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
These planes are further confidential as:&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;margin-left: .5in;&quot;&gt;&lt;b&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;s&lt;sub&gt;h&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;- Horizontal Plane&lt;/span&gt;&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;which is perpendicular to the Principal Axis of Rotation (i.e. Axis with highest value of n). If no principal axis exists s&lt;sub&gt;h&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;is distinct as the molecular plane.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style=&quot;margin-left: .5in;&quot;&gt;&lt;b&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;s&lt;sub&gt;v&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;or s&lt;sub&gt;d&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;- Vertical Plane&lt;/span&gt;&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;/span&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;which holds the Principal Axis of Rotation and is perpendicular to a s&lt;sub&gt;h&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;plane, if it exists. When mutually s&lt;sub&gt;v&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;and s&lt;sub&gt;d&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;planes are present, the s&lt;sub&gt;v&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;planes hold the superior number of atoms, the s&lt;sub&gt;d&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;planes enclose bond angle bisectors. If only one type of vertical plane is present, s&lt;sub&gt;v&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;or s&lt;sub&gt;d&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;may be used depending on the entirety symmetry of the molecule.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(iii) A&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;st1:place w:st=&quot;on&quot;&gt;&lt;st1:placetype w:st=&quot;on&quot;&gt;&lt;b&gt;Center&lt;/b&gt;&lt;/st1:placetype&gt;&lt;b&gt; of &lt;st1:placename w:st=&quot;on&quot;&gt;Inversion&lt;/st1:placename&gt;&lt;/b&gt;&lt;/st1:place&gt;&lt;b&gt; - i&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
This is a central point throughout which all C&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;and s elements have to pass. If no such ordinary point exists there is refusal center of symmetry.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class=&quot;MsoNormal&quot; style=&quot;margin-left: .5in;&quot;&gt;&lt;span style=&quot;background-attachment: initial; background-clip: initial; background-color: white; background-image: initial; background-origin: initial; background-position: initial initial; background-repeat: initial initial;&quot;&gt;(iv)&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;b&gt;Improper Axis: S&lt;sub&gt;n&lt;/sub&gt;&lt;/b&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
This is invented of two parts: C&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;and s&lt;sub&gt;h&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;both of which may or may not be factual symmetry elements of the molecule. If equally the C&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;and s&lt;sub&gt;h&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;are there then S&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;must also exist. The following relations are obliging in this stare:&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
(a) If n is even, S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;n&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= E&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
(b) If n is odd, S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;n&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= s and S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;2n&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= E&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
(c) If m is even, S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;m&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= C&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;m&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;when m &amp;lt; n&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
S&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;m&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;= C&lt;sub&gt;n&lt;/sub&gt;&lt;sup&gt;m-n&lt;/sup&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;when m &amp;gt; n&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
(d) If S&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;with even n exists then C&lt;sub&gt;n/2&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;exists.&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;&lt;br /&gt;
(e) If S&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;with odd n exists then both C&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;and s perpendicular to C&lt;sub&gt;n&lt;/sub&gt;&lt;span class=&quot;apple-converted-space&quot;&gt;&amp;nbsp;&lt;/span&gt;exist.&lt;o:p&gt;&lt;/o:p&gt;&lt;/span&gt;&lt;/div&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;/div&gt;</content><link rel='replies' type='application/atom+xml' href='http://spectroscopybook.blogspot.com/feeds/3357122799487827756/comments/default' title='Post Comments'/><link rel='replies' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/symmetry-elements-linked-with-molecule.html#comment-form' title='0 Comments'/><link rel='edit' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/3357122799487827756'/><link rel='self' type='application/atom+xml' href='http://www.blogger.com/feeds/1132104099381095576/posts/default/3357122799487827756'/><link rel='alternate' type='text/html' href='http://spectroscopybook.blogspot.com/2011/12/symmetry-elements-linked-with-molecule.html' title='The Symmetry Elements linked with a molecule are:-'/><author><name>Unknown</name><email>noreply@blogger.com</email><gd:image rel='http://schemas.google.com/g/2005#thumbnail' width='16' height='16' src='https://img1.blogblog.com/img/b16-rounded.gif'/></author><media:thumbnail xmlns:media="http://search.yahoo.com/mrss/" url="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRNQq7beMRKBb4iTh-sgVxcTk28Twjm9BUTtzpUCCmI6-4deV6e_ebbyr4khEndiMoQ_F1QoA1JZooitHoHEX1Ck6BvtHZsSIaJIOOQtqI0IBJOL9C3sPlmRwtZBgJqJpYyiHn1BTBFyE/s72-c/0005-009-samplesshap.gif" height="72" width="72"/><thr:total>0</thr:total></entry></feed>