{"id":148793,"date":"2022-03-21T09:39:02","date_gmt":"2022-03-21T04:09:02","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/density-of-a-unit-cell-explanation-and-faqs\/"},"modified":"2022-03-30T21:14:24","modified_gmt":"2022-03-30T15:44:24","slug":"density-of-a-unit-cell-explanation-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/","title":{"rendered":"Density of a Unit Cell \u2013 Explanation and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#What_is_a_Unit_Cell\" title=\"What is a Unit Cell?\">What is a Unit Cell?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Benefits_of_Visualization\" title=\"Benefits of Visualization\">Benefits of Visualization<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#What_is_Lattice\" title=\"What is Lattice?\">What is Lattice?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Bravais_Lattices\" title=\"Bravais Lattices\">Bravais Lattices<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Calculation_of_Density_of_Unit_Cell\" title=\"Calculation of Density of Unit Cell\">Calculation of Density of Unit Cell<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Example\" title=\"Example\">Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Significance_of_the_Given_Technique\" title=\"Significance of the Given Technique\">Significance of the Given Technique<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#General_Expression_for_Density_of_Unit_Cells_Derived_for_Various_Cases\" title=\"General Expression for Density of Unit Cells Derived for Various Cases\">General Expression for Density of Unit Cells Derived for Various Cases<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#What_is_the_Planar_Density_of_the_101_Plane_in_a_Face-Centered_Cubic_fcc_Unit_Cell\" title=\"What is the Planar Density of the (101) Plane in a Face-Centered Cubic (fcc) Unit Cell ?\">What is the Planar Density of the (101) Plane in a Face-Centered Cubic (fcc) Unit Cell ?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Primitive_Unit_Cell\" title=\"Primitive Unit Cell\">Primitive Unit Cell<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Body-Centered_Cubic_Unit_Cell\" title=\"Body-Centered Cubic Unit Cell\">Body-Centered Cubic Unit Cell<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Face-Centered_Cubic_Unit_Cell\" title=\"Face-Centered Cubic Unit Cell\">Face-Centered Cubic Unit Cell<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Unit_Cells\" title=\"Unit Cells\">Unit Cells<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Explanation_of_Relation_between_Lattice_Constant_and_Density\" title=\"Explanation of Relation between Lattice Constant and Density\">Explanation of Relation between Lattice Constant and Density<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Derivation_of_Formula_for_Density_of_Unit_Cell\" title=\"Derivation of Formula for Density of Unit Cell\">Derivation of Formula for Density of Unit Cell<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Relation_between_Lattice_Constant_and_Density\" title=\"Relation between Lattice Constant and Density\">Relation between Lattice Constant and Density<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/chemistry\/density-of-a-unit-cell\/#Diamond_Cubic_Structure\" title=\"Diamond Cubic Structure\">Diamond Cubic Structure<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_a_Unit_Cell\"><\/span>What is a Unit Cell?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A unit cell is the smallest repeating unit of a crystal lattice. The unit cell is the basic building block of crystals, and is the smallest volume that can contain a crystal lattice. The unit cell can be described by its dimensions, and by the type and arrangement of its atoms or molecules.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-148792 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/density-of-a-unit-cell-explanation-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/density-of-a-unit-cell-explanation-and-faqs.jpg?v=1647835739 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/density-of-a-unit-cell-explanation-and-faqs-300x212.jpg?v=1647835739 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Benefits_of_Visualization\"><\/span>Benefits of Visualization<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are many benefits of visualization. Some of the benefits include:<\/p>\n<p>1. Increased focus and concentration.<\/p>\n<p>2. improved creativity.<\/p>\n<p>3. improved communication.<\/p>\n<p>4. improved decision making skills.<\/p>\n<p>5. improved problem solving skills.<\/p>\n<p>6. improved memory.<\/p>\n<p>7. improved physical performance.<\/p>\n<p>8. improved emotional well-being.<\/p>\n<p>9. improved spiritual well-being.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Lattice\"><\/span>What is Lattice?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Lattice is a two-dimensional, planar, regular array of points, lines, or surfaces in space.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Bravais_Lattices\"><\/span>Bravais Lattices<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are 14 Bravais lattices, which are classified into seven crystal systems.<\/p>\n<p>The seven crystal systems are:<\/p>\n<p>1. Cubic<br \/>\n2. Tetragonal<br \/>\n3. Orthorhombic<br \/>\n4. Monoclinic<br \/>\n5. Hexagonal<br \/>\n6. Triclinic<br \/>\n7. Rhombohedral<\/p>\n<p>The 14 Bravais lattices are:<\/p>\n<p>1. Cubic<br \/>\n2. Tetragonal<br \/>\n3. Orthorhombic<br \/>\n4. Monoclinic<br \/>\n5. Hexagonal<br \/>\n6. Triclinic<br \/>\n7. Rhombohedral<br \/>\n8. Square<br \/>\n9. Rectangular<br \/>\n10. Icosahedral<br \/>\n11. Dodecahedral<br \/>\n12. Hexoctahedral<br \/>\n13. Trigonal<br \/>\n14. Tetrahedral<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Calculation_of_Density_of_Unit_Cell\"><\/span>Calculation of Density of Unit Cell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The density of a unit cell is calculated by dividing the mass of the cell by its volume.<\/p>\n<p>Mass of cell = 2.5 g<\/p>\n<p>Volume of cell = 6.0 cm3<\/p>\n<p>Density of cell = 2.5 g\/6.0 cm3<\/p>\n<p>Density of cell = 0.417 g\/cm3<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Example\"><\/span>Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following code snippet sets the value of a text input field to the string &#8220;Hello, world!&#8221;<\/p>\n<p>document.get Element ById(&#8220;txt&#8221;).value = &#8220;Hello, world!&#8221;;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Significance_of_the_Given_Technique\"><\/span>Significance of the Given Technique<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The given technique is significant because it can help to improve the accuracy of predictions made by machine learning algorithms. This is important because it can help to improve the quality of the predictions made by these algorithms, which can in turn lead to improved performance for applications that rely on them.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"General_Expression_for_Density_of_Unit_Cells_Derived_for_Various_Cases\"><\/span>General Expression for Density of Unit Cells Derived for Various Cases<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The density of a unit cell can be written as a function of the cell&#8217;s dimensions, mass, and volume.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Planar_Density_of_the_101_Plane_in_a_Face-Centered_Cubic_fcc_Unit_Cell\"><\/span>What is the Planar Density of the (101) Plane in a Face-Centered Cubic (fcc) Unit Cell ?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The planar density of the (101) plane in a face-centered cubic unit cell is 1.633.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Primitive_Unit_Cell\"><\/span>Primitive Unit Cell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The primitive unit cell is the simplest possible unit cell. It has one atom at each corner and one in the center. This unit cell is not often used in practice, because it does not pack well.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Body-Centered_Cubic_Unit_Cell\"><\/span>Body-Centered Cubic Unit Cell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In a body-centered cubic unit cell, one atom is located in the center of the cell, and the other eight atoms are located at the corners of the cell.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Face-Centered_Cubic_Unit_Cell\"><\/span>Face-Centered Cubic Unit Cell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The face-centered cubic (fcc) unit cell is the simplest type of cubic unit cell. It has six faces, each of which is a square. The fcc unit cell has 12 edges and 8 vertices.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Unit_Cells\"><\/span>Unit Cells<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A unit cell is the smallest repeating unit of a crystal structure. The unit cell is defined by its lattice parameters, which are the lengths of the cell&#8217;s three perpendicular axes.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Explanation_of_Relation_between_Lattice_Constant_and_Density\"><\/span>Explanation of Relation between Lattice Constant and Density<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Lattice constant is the distance between two adjacent atoms in a crystal lattice. The density is the mass of a unit volume of material. The two are related because a denser material will have a smaller lattice constant.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Derivation_of_Formula_for_Density_of_Unit_Cell\"><\/span>Derivation of Formula for Density of Unit Cell<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We can derive the formula for the density of a unit cell from the definition of density.<\/p>\n<p>The density of a substance is the mass of the substance per unit volume.<\/p>\n<p>We can rewrite this definition in terms of the density of a unit cell.<\/p>\n<p>The density of a unit cell is the mass of the substance per unit volume of the unit cell.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Relation_between_Lattice_Constant_and_Density\"><\/span>Relation between Lattice Constant and Density<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The lattice constant is inversely proportional to the density of a material.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diamond_Cubic_Structure\"><\/span>Diamond Cubic Structure<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diamond cubic structure is a repeating pattern of 8 atoms that form a cube. Each atom is shared by 4 other cubes.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a Unit Cell? A unit cell is the smallest repeating unit of a crystal lattice. The unit cell [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Density of a Unit Cell \u2013 Explanation and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Density of a Unit Cell topic of Chemistry in details explained by subject experts on infinitylearn.com. 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