{"id":179,"date":"2018-11-30T08:46:33","date_gmt":"2018-11-30T08:46:33","guid":{"rendered":"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=179"},"modified":"2018-12-05T05:56:57","modified_gmt":"2018-12-05T05:56:57","slug":"the-reciprocal-lattice","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/chapter\/the-reciprocal-lattice\/","title":{"rendered":"The Reciprocal Lattice"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/ECprgAXd7ck\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n<img class=\"aligncenter size-full wp-image-183\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03.jpg\" alt=\"\" width=\"1413\" height=\"1583\" \/> <img class=\"aligncenter size-full wp-image-184\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04.jpg\" alt=\"\" width=\"1425\" height=\"1351\" \/> <img class=\"aligncenter size-full wp-image-185\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05.jpg\" alt=\"\" width=\"1331\" height=\"1609\" \/> <img class=\"aligncenter size-full wp-image-186\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06.jpg\" alt=\"\" width=\"1419\" height=\"1571\" \/> <img class=\"aligncenter size-full wp-image-187\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07.jpg\" alt=\"\" width=\"1487\" height=\"1607\" \/> <img class=\"aligncenter size-full wp-image-188\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08.jpg\" alt=\"\" width=\"999\" height=\"909\" \/> <img class=\"aligncenter size-full wp-image-189\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09.jpg\" alt=\"\" width=\"1437\" height=\"1643\" \/> <img class=\"aligncenter size-full wp-image-190\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10.jpg\" alt=\"\" width=\"1455\" height=\"1213\" \/><img class=\"aligncenter size-full wp-image-191\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3.jpg\" alt=\"\" width=\"1213\" height=\"1129\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on The Reciprocal Lattice<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/ECprgAXd7ck\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/ECprgAXd7ck\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-183\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03.jpg\" alt=\"\" width=\"1413\" height=\"1583\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03.jpg 1413w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03-268x300.jpg 268w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03-768x860.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03-914x1024.jpg 914w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03-65x73.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03-225x252.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-03-350x392.jpg 350w\" sizes=\"auto, (max-width: 1413px) 100vw, 1413px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-184\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04.jpg\" alt=\"\" width=\"1425\" height=\"1351\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04.jpg 1425w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04-300x284.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04-768x728.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04-1024x971.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04-65x62.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04-225x213.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-04-350x332.jpg 350w\" sizes=\"auto, (max-width: 1425px) 100vw, 1425px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-185\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05.jpg\" alt=\"\" width=\"1331\" height=\"1609\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05.jpg 1331w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05-248x300.jpg 248w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05-768x928.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05-847x1024.jpg 847w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05-65x79.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05-225x272.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-05-350x423.jpg 350w\" sizes=\"auto, (max-width: 1331px) 100vw, 1331px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-186\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06.jpg\" alt=\"\" width=\"1419\" height=\"1571\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06.jpg 1419w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06-271x300.jpg 271w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06-768x850.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06-925x1024.jpg 925w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06-65x72.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06-225x249.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-06-350x387.jpg 350w\" sizes=\"auto, (max-width: 1419px) 100vw, 1419px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-187\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07.jpg\" alt=\"\" width=\"1487\" height=\"1607\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07.jpg 1487w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07-278x300.jpg 278w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07-768x830.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07-948x1024.jpg 948w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07-65x70.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07-225x243.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-07-350x378.jpg 350w\" sizes=\"auto, (max-width: 1487px) 100vw, 1487px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-188\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08.jpg\" alt=\"\" width=\"999\" height=\"909\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08.jpg 999w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08-300x273.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08-768x699.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08-65x59.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08-225x205.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-08-350x318.jpg 350w\" sizes=\"auto, (max-width: 999px) 100vw, 999px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-189\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09.jpg\" alt=\"\" width=\"1437\" height=\"1643\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09.jpg 1437w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09-262x300.jpg 262w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09-768x878.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09-896x1024.jpg 896w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09-65x74.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09-225x257.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-09-350x400.jpg 350w\" sizes=\"auto, (max-width: 1437px) 100vw, 1437px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-190\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10.jpg\" alt=\"\" width=\"1455\" height=\"1213\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10.jpg 1455w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10-300x250.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10-768x640.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10-1024x854.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10-65x54.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10-225x188.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704855912_kotru-10-350x292.jpg 350w\" sizes=\"auto, (max-width: 1455px) 100vw, 1455px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-191\" src=\"http:\/\/msp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3.jpg\" alt=\"\" width=\"1213\" height=\"1129\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3.jpg 1213w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3-300x279.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3-768x715.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3-1024x953.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3-65x60.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3-225x209.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-content\/uploads\/sites\/106\/2018\/11\/148704856512_kotru.know-3-350x326.jpg 350w\" sizes=\"auto, (max-width: 1213px) 100vw, 1213px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on The Reciprocal Lattice<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/ECprgAXd7ck\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"author":3,"menu_order":12,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["prof-p-n-kotru"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-179","chapter","type-chapter","status-publish","hentry","contributor-prof-p-n-kotru"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/chapters\/179","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":5,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/chapters\/179\/revisions"}],"predecessor-version":[{"id":601,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/chapters\/179\/revisions\/601"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/chapters\/179\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/wp\/v2\/media?parent=179"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/pressbooks\/v2\/chapter-type?post=179"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/wp\/v2\/contributor?post=179"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/msp06\/wp-json\/wp\/v2\/license?post=179"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}