{"id":1946,"date":"2021-12-13T15:31:11","date_gmt":"2021-12-13T07:31:11","guid":{"rendered":"https:\/\/www.naxau.cn\/?post_type=docs&#038;p=1946"},"modified":"2023-12-14T10:13:10","modified_gmt":"2023-12-14T02:13:10","password":"","slug":"coefficient-of-thermal-expansion-coefficient-of-linear-expansion-clti","status":"publish","type":"docs","link":"https:\/\/www.naxauam.com\/en\/docs\/coefficient-of-thermal-expansion-coefficient-of-linear-expansion-clti\/","title":{"rendered":"Coefficient of Thermal Expansion \/ Coefficient of Linear Expansion - CLTI"},"content":{"rendered":"<h2>What is the Coefficient of Linear Thermal Expansion (CLTE)?<\/h2>\n<p>coefficient of thermal expansion\/coefficient of linear expansion - CLTI.<span class=\"\">Any material will expand under the influence of elevated temperatures.<\/span><span class=\"\">This can result in significant dimensional changes, part warpage, or internal stresses.<\/span><\/p>\n<div class=\"trans-right\">\n<div class=\"output-wrap small-font\" data-domain-value=\"common\">\n<div class=\"output-mod ordinary-wrap\">\n<div class=\"output-bd\" dir=\"ltr\">\n<p class=\"ordinary-output target-output clearfix\"><span class=\"\">The Coefficient of Linear Thermal Expansion (CLTE, often referred to as \"\u03b1\") is a material property that characterizes a material's ability to expand under the influence of elevated temperatures.<\/span><span class=\"\">The linear coefficient 'CLTE or \u03b1' of the material is calculated as follows:<\/span><\/p>\n<p><b>\u03b1 = \u0394L \/ (L<sub>0<\/sub> * \u0394T)<\/b><\/p>\n<p>Among them:<\/p>\n<ul>\n<li>\u03b1 is the coefficient of linear thermal expansion per degree Celsius<\/li>\n<li>\u0394L is the change in specimen length due to heating or cooling<\/li>\n<li>L<sub>0<\/sub>is the original length of the specimen at room temperature<\/li>\n<li>\u0394T is the temperature change during the test, \u00b0C<\/li>\n<\/ul>\n<p>Thus, \u03b1 is obtained by dividing the linear expansion per unit length by the temperature change. When labeling the average coefficient of thermal expansion, the temperature range must be specified.<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h2>Table of coefficients of thermal expansion of common materials<\/h2>\n<table style=\"text-align: center;\" border=\"1\" width=\"80%\" cellspacing=\"0\" cellpadding=\"1\">\n<thead>\n<tr style=\"background-color: #e3e3e3;\">\n<th height=\"50\">Thermal Expansion Coefficient of.<\/th>\n<th>Thermal Expansion (10<sup>-6 <\/sup>m\/(m \u00b0C))<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Alumina<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>Aluminum<\/td>\n<td>13.1<\/td>\n<\/tr>\n<tr>\n<td>Antimony<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td>Arsenic<\/td>\n<td>2.6<\/td>\n<\/tr>\n<tr>\n<td>Barium<\/td>\n<td>11.4<\/td>\n<\/tr>\n<tr>\n<td>Beryllium<\/td>\n<td>6.7<\/td>\n<\/tr>\n<tr>\n<td>Beryllium Copper<\/td>\n<td>9.3<\/td>\n<\/tr>\n<tr>\n<td>Bismuth<\/td>\n<td>7.2<\/td>\n<\/tr>\n<tr>\n<td>Brass<\/td>\n<td>10.4<\/td>\n<\/tr>\n<tr>\n<td>Brass, Admiralty<\/td>\n<td>11.2<\/td>\n<\/tr>\n<tr>\n<td>Brass, Yellow<\/td>\n<td>11.3<\/td>\n<\/tr>\n<tr>\n<td>Bronze<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>Bronze, Aluminum<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>Cadmium<\/td>\n<td>16.8<\/td>\n<\/tr>\n<tr>\n<td>Calcium<\/td>\n<td>12.4<\/td>\n<\/tr>\n<tr>\n<td>Carbon - diamond<\/td>\n<td>0.67<\/td>\n<\/tr>\n<tr>\n<td>Cerium<\/td>\n<td>2.9<\/td>\n<\/tr>\n<tr>\n<td>Chromium<\/td>\n<td>3.3<\/td>\n<\/tr>\n<tr>\n<td>Cobalt<\/td>\n<td>6.7<\/td>\n<\/tr>\n<tr>\n<td>Copper<\/td>\n<td>9.8<\/td>\n<\/tr>\n<tr>\n<td>Copper, Beryllium 25<\/td>\n<td>9.9<\/td>\n<\/tr>\n<tr>\n<td>Corundum, sintered<\/td>\n<td>3.6<\/td>\n<\/tr>\n<tr>\n<td>Diamond<\/td>\n<td>0.6<\/td>\n<\/tr>\n<tr>\n<td>Dysprosium<\/td>\n<td>5.5<\/td>\n<\/tr>\n<tr>\n<td>Erbium<\/td>\n<td>6.8<\/td>\n<\/tr>\n<tr>\n<td>Europium<\/td>\n<td>19.4<\/td>\n<\/tr>\n<tr>\n<td>Gadolinium<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td>Germanium<\/td>\n<td>3.4<\/td>\n<\/tr>\n<tr>\n<td>Glass, hard<\/td>\n<td>3.3<\/td>\n<\/tr>\n<tr>\n<td>Gold<\/td>\n<td>7.9<\/td>\n<\/tr>\n<tr>\n<td>Graphite<\/td>\n<td>4.4<\/td>\n<\/tr>\n<tr>\n<td>Hafnium<\/td>\n<td>3.3<\/td>\n<\/tr>\n<tr>\n<td>Hard alloy K20<\/td>\n<td>3.3<\/td>\n<\/tr>\n<tr>\n<td>Hastelloy C<\/td>\n<td>5.3<\/td>\n<\/tr>\n<tr>\n<td>Holmium<\/td>\n<td>6.2<\/td>\n<\/tr>\n<tr>\n<td>Ice<\/td>\n<td>28.3<\/td>\n<\/tr>\n<tr>\n<td>Incoloy<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Inconel<\/td>\n<td>6.4<\/td>\n<\/tr>\n<tr>\n<td>Indium<\/td>\n<td>18.3<\/td>\n<\/tr>\n<tr>\n<td>Invar<\/td>\n<td>0.8<\/td>\n<\/tr>\n<tr>\n<td>Iridium<\/td>\n<td>3.3<\/td>\n<\/tr>\n<tr>\n<td>Iron<\/td>\n<td>6.8<\/td>\n<\/tr>\n<tr>\n<td>Iron, cast<\/td>\n<td>5.9<\/td>\n<\/tr>\n<tr>\n<td>Iron, forged<\/td>\n<td>6.3<\/td>\n<\/tr>\n<tr>\n<td>Lanthanum<\/td>\n<td>6.7<\/td>\n<\/tr>\n<tr>\n<td>Lead<\/td>\n<td>15.1<\/td>\n<\/tr>\n<tr>\n<td>Limestone<\/td>\n<td>4.4<\/td>\n<\/tr>\n<tr>\n<td>Lithium<\/td>\n<td>25.6<\/td>\n<\/tr>\n<tr>\n<td>Lutetium<\/td>\n<td>5.5<\/td>\n<\/tr>\n<tr>\n<td>Magnesium<\/td>\n<td>14<\/td>\n<\/tr>\n<tr>\n<td>Manganese<\/td>\n<td>12<\/td>\n<\/tr>\n<tr>\n<td>Manganese Bronze<\/td>\n<td>11.8<\/td>\n<\/tr>\n<tr>\n<td>Marble<\/td>\n<td>3.1 - 7.9<\/td>\n<\/tr>\n<tr>\n<td>Masonry<\/td>\n<td>2.6 - 5.0<\/td>\n<\/tr>\n<tr>\n<td>Mica<\/td>\n<td>1.7<\/td>\n<\/tr>\n<tr>\n<td>Molybdenum<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>Neodymium<\/td>\n<td>5.3<\/td>\n<\/tr>\n<tr>\n<td>Nickel<\/td>\n<td>7.2<\/td>\n<\/tr>\n<tr>\n<td>Nickel Wrought<\/td>\n<td>7.4<\/td>\n<\/tr>\n<tr>\n<td>Niobium (Columbium)<\/td>\n<td>3.9<\/td>\n<\/tr>\n<tr>\n<td>Osmium<\/td>\n<td>2.8<\/td>\n<\/tr>\n<tr>\n<td>Palladium<\/td>\n<td>6.6<\/td>\n<\/tr>\n<tr>\n<td>Platinum<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td>Plutonium<\/td>\n<td>19.84<\/td>\n<\/tr>\n<tr>\n<td>Potassium<\/td>\n<td>46<\/td>\n<\/tr>\n<tr>\n<td>Praseodymium<\/td>\n<td>3.7<\/td>\n<\/tr>\n<tr>\n<td>Promethium<\/td>\n<td>6.1<\/td>\n<\/tr>\n<tr>\n<td>Quartz<\/td>\n<td>0.43 - 0.79<\/td>\n<\/tr>\n<tr>\n<td>Red Brass<\/td>\n<td>10.4<\/td>\n<\/tr>\n<tr>\n<td>Rhenium<\/td>\n<td>3.7<\/td>\n<\/tr>\n<tr>\n<td>Rhodium<\/td>\n<td>4.4<\/td>\n<\/tr>\n<tr>\n<td>Rubber, hard<\/td>\n<td>42.8<\/td>\n<\/tr>\n<tr>\n<td>Ruthenium<\/td>\n<td>5.1<\/td>\n<\/tr>\n<tr>\n<td>Samarium<\/td>\n<td>7.1<\/td>\n<\/tr>\n<tr>\n<td>Scandium<\/td>\n<td>5.7<\/td>\n<\/tr>\n<tr>\n<td>Selenium (computing)<\/td>\n<td>2.1<\/td>\n<\/tr>\n<tr>\n<td>Silicon<\/td>\n<td>2.8<\/td>\n<\/tr>\n<tr>\n<td>Silver<\/td>\n<td>11<\/td>\n<\/tr>\n<tr>\n<td>Sodium<\/td>\n<td>39<\/td>\n<\/tr>\n<tr>\n<td>Solder 50 - 50<\/td>\n<td>13.4<\/td>\n<\/tr>\n<tr>\n<td>Steel<\/td>\n<td>7.3<\/td>\n<\/tr>\n<tr>\n<td>Steel Stainless Austenitic (304)<\/td>\n<td>9.6<\/td>\n<\/tr>\n<tr>\n<td>Steel Stainless Austenitic (310)<\/td>\n<td>8<\/td>\n<\/tr>\n<tr>\n<td>Steel Stainless Austenitic (316)<\/td>\n<td>8.9<\/td>\n<\/tr>\n<tr>\n<td>Steel Stainless Ferritic (410)<\/td>\n<td>5.5<\/td>\n<\/tr>\n<tr>\n<td>Strontium<\/td>\n<td>12.5<\/td>\n<\/tr>\n<tr>\n<td>Tantalum<\/td>\n<td>3.6<\/td>\n<\/tr>\n<tr>\n<td>Tellurium<\/td>\n<td>20.5<\/td>\n<\/tr>\n<tr>\n<td>Terbium<\/td>\n<td>5.7<\/td>\n<\/tr>\n<tr>\n<td>Terne<\/td>\n<td>6.5<\/td>\n<\/tr>\n<tr>\n<td>Thallium<\/td>\n<td>16.6<\/td>\n<\/tr>\n<tr>\n<td>Thorium<\/td>\n<td>6.7<\/td>\n<\/tr>\n<tr>\n<td>Thulium<\/td>\n<td>7.4<\/td>\n<\/tr>\n<tr>\n<td>Tin<\/td>\n<td>12.8<\/td>\n<\/tr>\n<tr>\n<td>Titanium Commercially Pure<\/td>\n<td>8.6<\/td>\n<\/tr>\n<tr>\n<td>Titanium Alloy Ti - 5Al - 2.5Sn<\/td>\n<td>9.4<\/td>\n<\/tr>\n<tr>\n<td>Tungsten Molybdenum<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td>Tungsten<\/td>\n<td>2.5<\/td>\n<\/tr>\n<tr>\n<td>Uranium<\/td>\n<td>7.4<\/td>\n<\/tr>\n<tr>\n<td>Vanadium<\/td>\n<td>4.4<\/td>\n<\/tr>\n<tr>\n<td>Ytterbium<\/td>\n<td>14.6<\/td>\n<\/tr>\n<tr>\n<td>Yttrium<\/td>\n<td>5.9<\/td>\n<\/tr>\n<tr>\n<td>Zinc<\/td>\n<td>19<\/td>\n<\/tr>\n<tr>\n<td>Zirconium<\/td>\n<td>3.2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>\u4ec0\u4e48\u662f\u70ed\u81a8\u80c0\u7cfb\u6570\uff08Coefficient of Linear Thermal Expansion -CLTE\uff09 [&hellip;]<\/p>","protected":false},"author":1,"featured_media":1947,"comment_status":"closed","ping_status":"closed","template":"","meta":{"themepark_post_bcolor":"#f5f5f5","themepark_post_width":"1022px","themepark_post_img":"","themepark_post_img_po":"left","themepark_post_img_re":false,"themepark_post_img_cover":false,"themepark_post_img_fixed":false,"themepark_post_hide_title":false,"themepark_post_main_b":"","themepark_post_main_p":100,"themepark_paddingblock":false,"footnotes":""},"doc_category":[282],"doc_tag":[185,186],"class_list":["post-1946","docs","type-docs","status-publish","has-post-thumbnail","hentry","doc_category-wiki-metal-surface-treatment","doc_tag-185","doc_tag-186"],"year_month":"2026-04","word_count":172,"total_views":0,"reactions":{"happy":0,"normal":0,"sad":0},"author_info":{"name":"a kind of spirit","author_nicename":"lincy","author_url":"https:\/\/www.naxauam.com\/en\/author\/lincy\/"},"doc_category_info":[{"term_name":"\u91d1\u5c5e\u52a0\u5de5\u76f8\u5173","term_url":"https:\/\/www.naxauam.com\/en\/docs-category\/wiki-metal-surface-treatment\/"}],"doc_tag_info":[{"term_name":"\u4e13\u4e1a\u8bcd\u6c47","term_url":"https:\/\/www.naxauam.com\/en\/docs-tag\/specialized-vocabulary\/"},{"term_name":"\u70ed\u81a8\u80c0\u7cfb\u6570","term_url":"https:\/\/www.naxauam.com\/en\/docs-tag\/coefficient-of-thermal-expansion\/"}],"_links":{"self":[{"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/docs\/1946","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/comments?post=1946"}],"version-history":[{"count":1,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/docs\/1946\/revisions"}],"predecessor-version":[{"id":3796,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/docs\/1946\/revisions\/3796"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/media\/1947"}],"wp:attachment":[{"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/media?parent=1946"}],"wp:term":[{"taxonomy":"doc_category","embeddable":true,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/doc_category?post=1946"},{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/www.naxauam.com\/en\/wp-json\/wp\/v2\/doc_tag?post=1946"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}