{"id":13253,"date":"2026-05-14T08:22:47","date_gmt":"2026-05-14T08:22:47","guid":{"rendered":"https:\/\/www.vedprep.com\/exams\/?p=13253"},"modified":"2026-05-14T08:30:08","modified_gmt":"2026-05-14T08:30:08","slug":"bravais-lattices-for-iit-jam","status":"publish","type":"post","link":"https:\/\/www.vedprep.com\/exams\/iit-jam\/bravais-lattices-for-iit-jam\/","title":{"rendered":"Bravais Lattices For IIT JAM 2027: Master This Vital Topic"},"content":{"rendered":"<p><strong>Bravais lattices<\/strong> refer to the 14 different 3-dimensional configurations in crystals, crucial for IIT JAM and other competitive exams, where understanding these lattices is essential to solve crystal structure problems.<\/p>\n<h2><strong>Crystal Lattices: A Brief Syllabus Overview<\/strong><\/h2>\n<p data-path-to-node=\"1\">If you\u2019re diving into Unit 2: Solid State Physics for your IIT JAM preparation, you\u2019ve probably realized that crystals aren&#8217;t just pretty rocks\u2014they are highly organized &#8220;social clubs&#8221; for atoms. Whether you are coming at this from the <a href=\"https:\/\/jam2026.iitb.ac.in\/files\/syllabus_PH.pdf\" rel=\"nofollow noopener\" target=\"_blank\"><strong>Physics<\/strong> <\/a>or <strong><a href=\"https:\/\/jam2026.iitb.ac.in\/files\/syllabus_CY.pdf\" rel=\"nofollow noopener\" target=\"_blank\">Chemistry<\/a><\/strong> side, understanding the framework of these clubs is non-negotiable for exams like GATE or CSIR NET.<\/p>\n<p data-path-to-node=\"2\">Think of a crystal lattice as a never-ending pattern on a piece of wallpaper, but in 3D. It\u2019s how atoms or molecules decide to stack themselves over and over again. If you want to get deep into the weeds, classics like <i data-path-to-node=\"2\" data-index-in-node=\"219\">Crystallography<\/i> by C. Giacovazzo or <i data-path-to-node=\"2\" data-index-in-node=\"255\">Crystal Structure Analysis<\/i> by S. R. Hall are the gold standards. But for now, we at <b data-path-to-node=\"2\" data-index-in-node=\"339\">VedPrep<\/b> want to help you get the hang of the 14 unique &#8220;floor plans&#8221; known as <strong>Bravais lattices<\/strong>.<\/p>\n<p>A crystal lattice is a repeating arrangement of atoms or molecules in a crystalline solid. The study of crystal lattices is crucial in understanding the physical properties of materials. Two standard textbooks that cover this topic are:<\/p>\n<ul>\n<li>&#8216;Crystallography&#8217; by C. Giacovazzo<\/li>\n<li>&#8216;Crystal Structure Analysis&#8217; by S. R. Hall<\/li>\n<\/ul>\n<h2><strong>Understanding Bravais Lattices For IIT JAM<\/strong><\/h2>\n<p data-path-to-node=\"4\"><strong>Bravais lattices<\/strong> are basically the 14 different ways you can arrange points in space so that every point looks exactly like every other point. They\u2019re named after Auguste Bravais, a French physicist who figured out the math behind this back in the 1800s.<\/p>\n<p data-path-to-node=\"5\">Imagine you&#8217;re standing on a single point in an infinite field of points. If you look around and see the exact same view no matter which point you hop to, you\u2019re in a Bravais lattice. There are only 14 ways to do this in three dimensions, and they fit into seven &#8220;families&#8221; or crystal systems: triclinic, monoclinic, orthorhombic, tetragonal, rhombohedral, hexagonal, and cubic.<\/p>\n<p data-path-to-node=\"6\">For the IIT JAM, knowing these isn&#8217;t just about memorizing a list. It\u2019s about understanding how the shape of the lattice dictates how a material behaves. Does it conduct electricity? Is it brittle? The lattice holds the answer.<\/p>\n<h2><strong>Visualizing Bravais Lattices For IIT JAM in Three Dimensions<\/strong><\/h2>\n<p data-path-to-node=\"8\">To really &#8220;get&#8221; this, you need to think about the unit cell. This is the smallest building block of the crystal. If you stack enough unit cells together, you get the whole crystal.<\/p>\n<p data-path-to-node=\"9\">In these lattices, we talk about lattice points. These are the specific spots where atoms or ions hang out. To make things simple, we assume every lattice point is identical.<\/p>\n<p data-path-to-node=\"10\">The symmetry of <strong>Bravais lattices<\/strong>\u2014how they look when you rotate them or flip them\u2014is what separates a cubic system from a hexagonal one. At <b data-path-to-node=\"10\" data-index-in-node=\"137\">VedPrep<\/b>, we often tell students to think of these systems like different shaped boxes. Some are perfect cubes, some are stretched out like shoe boxes, and others are tilted.<\/p>\n<p data-path-to-node=\"11\">Here\u2019s a quick breakdown of how those 14 lattices are spread out:<\/p>\n<table data-path-to-node=\"12\">\n<thead>\n<tr>\n<td><strong>Crystal System<\/strong><\/td>\n<td><strong>Possible Bravais Lattices<\/strong><\/td>\n<td><strong>Number of Lattices<\/strong><\/td>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td><span data-path-to-node=\"12,1,0,0\"><b data-path-to-node=\"12,1,0,0\" data-index-in-node=\"0\">Cubic<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,1,1,0\">Primitive, Body-centered, Face-centered<\/span><\/td>\n<td><span data-path-to-node=\"12,1,2,0\">3<\/span><\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"12,2,0,0\"><b data-path-to-node=\"12,2,0,0\" data-index-in-node=\"0\">Tetragonal<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,2,1,0\">Primitive, Body-centered<\/span><\/td>\n<td><span data-path-to-node=\"12,2,2,0\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"12,3,0,0\"><b data-path-to-node=\"12,3,0,0\" data-index-in-node=\"0\">Orthorhombic<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,3,1,0\">Primitive, Body-centered, Face-centered, Base-centered<\/span><\/td>\n<td><span data-path-to-node=\"12,3,2,0\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"12,4,0,0\"><b data-path-to-node=\"12,4,0,0\" data-index-in-node=\"0\">Monoclinic<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,4,1,0\">Primitive, Base-centered<\/span><\/td>\n<td><span data-path-to-node=\"12,4,2,0\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"12,5,0,0\"><b data-path-to-node=\"12,5,0,0\" data-index-in-node=\"0\">Triclinic<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,5,1,0\">Primitive<\/span><\/td>\n<td><span data-path-to-node=\"12,5,2,0\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"12,6,0,0\"><b data-path-to-node=\"12,6,0,0\" data-index-in-node=\"0\">Rhombohedral<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,6,1,0\">Primitive<\/span><\/td>\n<td><span data-path-to-node=\"12,6,2,0\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td><span data-path-to-node=\"12,7,0,0\"><b data-path-to-node=\"12,7,0,0\" data-index-in-node=\"0\">Hexagonal<\/b><\/span><\/td>\n<td><span data-path-to-node=\"12,7,1,0\">Primitive<\/span><\/td>\n<td><span data-path-to-node=\"12,7,2,0\">1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><strong>Solved Example: Bravais Lattices for IIT JAM<\/strong><\/h2>\n<p data-path-to-node=\"14\">Let&#8217;s look at a typical problem you might see on an exam:<\/p>\n<p data-path-to-node=\"15\"><b data-path-to-node=\"15\" data-index-in-node=\"0\">Problem:<\/b> You find a crystal where all sides are the same length (<span class=\"math-inline\" data-math=\"a = b = c = 4\" data-index-in-node=\"65\">a = b = c = 4<\/span> \u00c5) and all corners are perfect right angles (\u03b1<span class=\"math-inline\" data-math=\"\\alpha = \\beta = \\gamma = 90^\\circ\" data-index-in-node=\"124\"> = \u03b2 = \u03b3 = 90\u00b0<\/span>). There\u2019s only one lattice point per unit cell, located right at the corners. What are we looking at?<\/p>\n<p data-path-to-node=\"16\"><b data-path-to-node=\"16\" data-index-in-node=\"0\">The Fix:<\/b><\/p>\n<p data-path-to-node=\"16\">Since all sides and angles are equal and <span class=\"math-inline\" data-math=\"90^\\circ\" data-index-in-node=\"50\">$90^\\circ$<\/span>, we know we\u2019re in the <b data-path-to-node=\"16\" data-index-in-node=\"81\">Cubic<\/b> family. Now, which one?<\/p>\n<ul data-path-to-node=\"17\">\n<li>\n<p data-path-to-node=\"17,0,0\"><b data-path-to-node=\"17,0,0\" data-index-in-node=\"0\">Primitive (pc):<\/b> 1 point per cell<\/p>\n<\/li>\n<li>\n<p data-path-to-node=\"17,1,0\"><b data-path-to-node=\"17,1,0\" data-index-in-node=\"0\">Body-centered (bcc):<\/b> 2 points per cell<\/p>\n<\/li>\n<li>\n<p data-path-to-node=\"17,2,0\"><b data-path-to-node=\"17,2,0\" data-index-in-node=\"0\">Face-centered (fcc):<\/b> 4 points per cell<\/p>\n<\/li>\n<\/ul>\n<p data-path-to-node=\"18\">Since the problem says there&#8217;s only one point per cell, it\u2019s a <b>primitive cubic<\/b>\u00a0lattice. Easy, right? This kind of logic is exactly what you\u2019ll need to crush the solid-state section of the JAM.<\/p>\n<h2><strong>Common Misconceptions About Bravais Lattices<\/strong><\/h2>\n<p data-path-to-node=\"20\">A big mistake students make is thinking every crystal is just a simple cube. While cubic structures are common in metals like copper or iron, the world of materials is way more diverse. You\u2019ve got 14 options, and they aren&#8217;t all &#8220;neat.&#8221;<\/p>\n<p data-path-to-node=\"21\">Another trip-up is forgetting about &#8220;centering.&#8221; For instance, you can\u2019t have a face-centered tetragonal lattice because the math actually turns it into a body-centered tetragonal one. It\u2019s all about finding the simplest way to describe the pattern. If you can keep the 7 systems and the 4 centering types (Primitive, Body, Face, and Base) straight, you&#8217;re ahead of the curve.<\/p>\n<h2><strong>Bravais lattices For IIT JAM<\/strong><\/h2>\n<p data-path-to-node=\"23\">In the real world of materials science, Bravais lattices are like the blueprints for everything from your smartphone\u2019s processor to the turbine blades in a jet engine.<\/p>\n<p data-path-to-node=\"24\">Let\u2019s use a fictional example to see why this matters. Imagine a researcher named Sarah trying to build a new type of solar cell. She needs the electrons to move through the material as fast as possible. If she picks a material with a &#8220;crowded&#8221; lattice, the electrons might get bumped around. By understanding the Bravais lattice of her material, she can predict how those electrons will flow before she even steps into the lab.<\/p>\n<p data-path-to-node=\"25\">Engineers use these lattices to design semiconductors or even &#8220;grow&#8221; crystals using fancy methods like CVD (chemical vapor deposition). Knowing the lattice helps them control how the material grows, atom by atom.<\/p>\n<h2><strong>Additional Tips for IIT JAM Aspirants<\/strong><\/h2>\n<p data-path-to-node=\"27\">To really master this, don&#8217;t just stare at the 2D drawings in your textbook. Try to visualize them in 3D. Practice problems that ask you to calculate packing fractions or density\u2014those are almost always on the exam.<\/p>\n<p data-path-to-node=\"28\">If you\u2019re feeling stuck, <a href=\"https:\/\/www.vedprep.com\/online-courses\"><strong>VedPrep<\/strong> <\/a>has some great free video resources that walk through these 3D structures. Sometimes seeing a 3D model rotate on screen makes everything click in a way a flat page can&#8217;t. Don\u2019t be afraid to reach out to experts if a particular symmetry element is giving you a headache; we\u2019re all in this together.<\/p>\n<p>Students can supplement their studies with free video resources, such as this <a href=\"https:\/\/www.vedprep.com\/online-courses\/iit-jam\"><strong>VedPrep<\/strong> <\/a>lecture, which provides in-depth coverage of key topics. Seeking help from <strong>VedPrep<\/strong> experts can provide personalized guidance and help address specific areas of difficulty.<\/p>\n<h2><strong>Final Thoughts\u00a0<\/strong><\/h2>\n<p>Think of the 14<strong> Bravais lattices<\/strong> as the alphabet of the solid world. Once you know the letters, you can start reading the &#8220;words&#8221; (crystal structures) and &#8220;sentences&#8221; (material properties). For those of you eyeing the 2027 exam cycle, getting comfortable with these shapes now will make topics like Miller indices and X-ray diffraction feel like a breeze later on. Keep practicing, keep visualizing, and you\u2019ll see those complex solid-state problems start to fall into place.<\/p>\n<p>To know more in detail from our expert faculty, watch our YouTube video:<\/p>\n<p class=\"responsive-video-wrap clr\"><iframe title=\"Solid State Devices \ud83d\ude31\ud83d\udd25 | Crystal Theory \ud83d\udcd8 | Modern Physics \ud83d\ude80 | Aadhar CUET PG &amp; IIT JAM | VedPrep\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/hsqmFVSNMrQ?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<section>\n<h2><strong>Frequently Asked Questions<\/strong><\/h2>\n<\/section>\n<style>#sp-ea-14248 .spcollapsing { height: 0; overflow: hidden; transition-property: height;transition-duration: 300ms;}#sp-ea-14248.sp-easy-accordion>.sp-ea-single {margin-bottom: 10px; border: 1px solid #e2e2e2; }#sp-ea-14248.sp-easy-accordion>.sp-ea-single>.ea-header a {color: #444;}#sp-ea-14248.sp-easy-accordion>.sp-ea-single>.sp-collapse>.ea-body {background: #fff; color: #444;}#sp-ea-14248.sp-easy-accordion>.sp-ea-single {background: #eee;}#sp-ea-14248.sp-easy-accordion>.sp-ea-single>.ea-header a .ea-expand-icon { float: left; color: #444;font-size: 16px;}<\/style><div id=\"sp_easy_accordion-1777377555\">\n<div id=\"sp-ea-14248\" class=\"sp-ea-one sp-easy-accordion\" data-ea-active=\"ea-click\" data-ea-mode=\"vertical\" data-preloader=\"\" data-scroll-active-item=\"\" data-offset-to-scroll=\"0\">\n\n<!-- Start accordion card div. -->\n<div class=\"ea-card ea-expand sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142480\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142480\" aria-controls=\"collapse142480\" href=\"#\"  aria-expanded=\"true\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-minus\"><\/i> What exactly are Bravais lattices?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse collapsed show\" id=\"collapse142480\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142480\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>Bravais lattices are a set of 14 unique three-dimensional configurations that describe how discrete points (lattice points) can be arranged in space to form a periodic structure. They are the mathematical backbone of crystallography.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142481\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142481\" aria-controls=\"collapse142481\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Who discovered the Bravais lattices?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142481\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142481\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>They are named after the French physicist <b data-path-to-node=\"3\" data-index-in-node=\"82\">Auguste Bravais<\/b>, who mathematically demonstrated in 1848 that there are only 14 possible ways to arrange points in 3D space such that each point has identical surroundings.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142482\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142482\" aria-controls=\"collapse142482\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Why are Bravais lattices crucial for IIT JAM 2027 aspirants?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142482\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142482\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>This topic is a common thread in both the <b data-path-to-node=\"4\" data-index-in-node=\"106\">Physics and Chemistry<\/b> syllabi. Questions often focus on lattice parameters, symmetry elements, and density calculations, making it essential for scoring well in the Solid State sections.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142483\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142483\" aria-controls=\"collapse142483\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> What is the difference between a crystal system and a Bravais lattice?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142483\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142483\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>A crystal system is a category based on the geometry of the unit cell (7 systems), while the Bravais lattice includes the specific \"centering\" (Primitive, Body-centered, etc.) within those systems, totaling 14 variations.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142484\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142484\" aria-controls=\"collapse142484\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> How many crystal systems exist in three dimensions?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142484\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142484\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>There are <b data-path-to-node=\"8\" data-index-in-node=\"65\">seven<\/b> crystal systems: Cubic, Tetragonal, Orthorhombic, Hexagonal, Rhombohedral (Trigonal), Monoclinic, and Triclinic.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142485\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142485\" aria-controls=\"collapse142485\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Which crystal system is the most symmetrical?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142485\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142485\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>The <b data-path-to-node=\"9\" data-index-in-node=\"53\">Cubic system<\/b> is the most symmetrical, where all sides are equal (<span class=\"math-inline\" data-math=\"a = b = c\" data-index-in-node=\"118\">a = b = c<\/span>) and all angles are <span class=\"math-inline\" data-math=\"90^\\circ\" data-index-in-node=\"148\">90\u00b0<\/span>.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142486\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142486\" aria-controls=\"collapse142486\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Why does the Cubic system have only three Bravais lattices?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142486\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142486\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>The Cubic system supports Primitive (sc), Body-centered (bcc), and Face-centered (fcc). A base-centered cubic lattice is not possible because it would violate the cubic symmetry requirements.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142487\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142487\" aria-controls=\"collapse142487\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Which crystal system has the maximum number of Bravais lattices?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142487\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142487\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>The <b data-path-to-node=\"16\" data-index-in-node=\"73\">Orthorhombic system<\/b> is the only one that exhibits all four types of centering (P, I, F, and C), totaling four Bravais lattices.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142488\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142488\" aria-controls=\"collapse142488\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> How many Bravais lattices does the Hexagonal system have?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142488\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142488\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>The Hexagonal system has only <b data-path-to-node=\"17\" data-index-in-node=\"92\">one<\/b> Bravais lattice, which is the Primitive type.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-142489\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse142489\" aria-controls=\"collapse142489\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> What is the rank of a Primitive Cubic unit cell?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse142489\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-142489\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>The rank (or total number of lattice points per unit cell) of a Primitive Cubic cell is <b data-path-to-node=\"23\" data-index-in-node=\"141\">1<\/b>.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-1424810\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse1424810\" aria-controls=\"collapse1424810\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Are there Bravais lattices in 2D?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse1424810\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-1424810\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>Yes, in two dimensions, there are only <b data-path-to-node=\"29\" data-index-in-node=\"77\">5<\/b> distinct Bravais lattices (Oblique, Rectangular, Centered Rectangular, Square, and Hexagonal).<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-1424811\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse1424811\" aria-controls=\"collapse1424811\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Does every crystal follow a Bravais lattice?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse1424811\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-1424811\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>Yes, every crystalline material can be mapped to one of the 14 Bravais lattices, though the basis (the actual atoms attached to the points) can be very complex.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-1424812\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse1424812\" aria-controls=\"collapse1424812\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Is a Face-Centered Tetragonal lattice a unique Bravais lattice?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse1424812\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-1424812\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>No. A face-centered tetragonal cell can be redefined as a smaller body-centered tetragonal cell. Therefore, it is not counted as one of the 14 unique types.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-1424813\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse1424813\" aria-controls=\"collapse1424813\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> What is the best way to memorize the 14 lattices?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse1424813\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-1424813\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>Use the mnemonic <b data-path-to-node=\"35\" data-index-in-node=\"71\">\"CTO RHM T\"<\/b> (Cubic, Tetragonal, Orthorhombic, Rhombohedral, Hexagonal, Monoclinic, Triclinic) and associate the number of lattices per system (3, 2, 4, 1, 1, 2, 1).<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<!-- Start accordion card div. -->\n<div class=\"ea-card  sp-ea-single\">\n\t<!-- Start accordion header. -->\n\t<h3 class=\"ea-header\">\n\t\t<!-- Add anchor tag for header. -->\n\t\t<a class=\"collapsed\" id=\"ea-header-1424814\" role=\"button\" data-sptoggle=\"spcollapse\" data-sptarget=\"#collapse1424814\" aria-controls=\"collapse1424814\" href=\"#\"  aria-expanded=\"false\" tabindex=\"0\">\n\t\t<i aria-hidden=\"true\" role=\"presentation\" class=\"ea-expand-icon eap-icon-ea-expand-plus\"><\/i> Which textbooks are best for Bravais lattices for IIT JAM?\t\t<\/a> <!-- Close anchor tag for header. -->\n\t<\/h3>\t<!-- Close header tag. -->\n\t<!-- Start collapsible content div. -->\n\t<div class=\"sp-collapse spcollapse \" id=\"collapse1424814\" data-parent=\"#sp-ea-14248\" role=\"region\" aria-labelledby=\"ea-header-1424814\">  <!-- Content div. -->\n\t\t<div class=\"ea-body\">\n\t\t<p>'Crystallography' by C. Giacovazzo and 'Crystal Structure Analysis' by S. R. Hall are excellent. For Chemistry-specific Solid State, 'Concise Inorganic Chemistry' by J.D. Lee is also highly recommended.<\/p>\n\t\t<\/div> <!-- Close content div. -->\n\t<\/div> <!-- Close collapse div. -->\n<\/div> <!-- Close card div. -->\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Bravais lattices refer to the 14 different 3-dimensional configurations in crystals, crucial for IIT JAM and other competitive exams. Mastering Bravais lattices is essential to solve crystal structure problems. Crystal lattices are studied in Unit 2: Solid State Physics of the official CSIR NET \/ NTA syllabus.<\/p>\n","protected":false},"author":12,"featured_media":13252,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","rank_math_seo_score":85},"categories":[23],"tags":[8667,8668,8669,2923,2531,2922],"class_list":["post-13253","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-iit-jam","tag-bravais-lattices-for-iit-jam","tag-bravais-lattices-for-iit-jam-notes","tag-bravais-lattices-for-iit-jam-questions","tag-competitive-exams","tag-crystal-structure","tag-vedprep","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/13253","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/comments?post=13253"}],"version-history":[{"count":8,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/13253\/revisions"}],"predecessor-version":[{"id":16192,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/posts\/13253\/revisions\/16192"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/media\/13252"}],"wp:attachment":[{"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/media?parent=13253"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/categories?post=13253"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vedprep.com\/exams\/wp-json\/wp\/v2\/tags?post=13253"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}