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तापीय प्रसार
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ताप के परिवर्तन के फलस्वरूप पदार्थों के लम्बाई, क्षेत्रफल एवं आयतन में होने वाले परिवर्तन को में होने वाले परिवर्तन को तापीय विस्तार (Thermal expansion) कहते हैं।
प्रसार के समीकरण
ठोसों का तापीय प्रसार
thumb|रैखिक प्रसार
लम्बाई क्षेत्रफल आयतन
द्रवों का तापीय प्रसार
गैसों का तापीय प्रसार
शून्य डिग्री सेल्सियस के प्रारम्भिक तापमान पर आदर्श गैस के लिए,
आयतनी ताप प्रसार गुणांक = 1/273,15 K−1
विभिन्न पदार्थों के ताप प्रसार गुणांक
पदार्थ रैखिकगुणांक αat 20 °C(10−6 K−1)आयतनी गुणांक αVat 20 °C(10−6 K−1)टिप्पणीअलुमिनियम23.169अलुमिनियम नाइट्राइड4.2 a-axis, 5.3 c-axishttp://www.ioffe.ru/SVA/NSM/Semicond/AlN/thermal.html AlN thermal properties at Ioffe institute 25 नवंबर 2018 https://web.archive.org/web/20181117040716/http://www.ioffe.ru/SVA/NSM/Semicond/AlN/thermal.html 17 नवंबर 2018 dead13.7AlN is anisotropic Benzocyclobutene42126पीतल1957Carbon steel10.832.4CFRP– 0.8 Ashraf Ahmed Behrouz Tavakol Rony Das Ronald Joven Pooneh Roozbehjavan Bob Minaie Study of Thermal Expansion in Carbon Fiber Reinforced Polymer Composites Proceedings of SAMPE International Symposium Charleston, SC 2012AnisotropicFiber directionConcrete1236Copper1751Diamond13Ethanol250750Young and Geller College Physics 8th Young Geller 0-8053-9218-1Gallium(III) arsenide5.817.4Gasoline317950Glass8.525.5Glass, borosilicate3.3 http://www.schott.com/tubing/german/download/schott-brochure-technical-tubing-english.pdf Technical Glasses Data Sheet PDF schott.com 25 नवंबर 2018 https://web.archive.org/web/20151211123647/http://www.schott.com/tubing/german/download/schott-brochure-technical-tubing-english.pdf 11 दिसंबर 2015 live9.9matched sealing partner for tungsten, molybdenum and kovar.Glass (Pyrex)3.2Raymond Serway John Jewett Principles of Physics: A Calculus-Based Text https://books.google.com/books?id=VaroJ5BNuZAC 2005 Cengage Learning 0-534-49143-X 506 25 नवंबर 2018 https://web.archive.org/web/20170710212350/https://books.google.com/books?id=VaroJ5BNuZAC 10 जुलाई 2017 liveGlycerine485Gold1442Helium36.65Ice51Indium phosphide4.613.8Invar1.23.6Iron11.835.4Kapton20http://www.matweb.com/search/datasheettext.aspx?matguid=305905ff1ded40fdaa34a18d8727a4dc DuPont™ Kapton® 200EN Polyimide Film matweb.com 25 नवंबर 2018 https://web.archive.org/web/20181126005427/http://www.matweb.com/search/datasheettext.aspx?matguid=305905ff1ded40fdaa34a18d8727a4dc 26 नवंबर 2018 dead60DuPont Kapton 200ENLead2987Macor9.3http://www.corning.com/docs/specialtymaterials/pisheets/Macor.pdf Macor data sheet PDF corning.com 25 नवंबर 2018 https://web.archive.org/web/20110612081709/http://www.corning.com/docs/specialtymaterials/pisheets/Macor.pdf 12 जून 2011 liveMagnesium2678Mercury61182Molybdenum4.814.4Nickel1339Oak54http://www.forestry.caf.wvu.edu/programs/woodindustries/wdsc340_7.htm https://web.archive.org/web/20090330062350/http://www.forestry.caf.wvu.edu/programs/woodindustries/wdsc340_7.htm 2009-03-30 WDSC 340. Class Notes on Thermal Properties of Wood forestry.caf.wvu.eduPerpendicular to the grainDouglas-fir27 http://ir.library.oregonstate.edu/xmlui/bitstream/handle/1957/1597/FPL_1487ocr.pdf Richard C. Weatherwax Alfred J. Stamm The coefficients of thermal expansion of wood and wood products 1956 Forest Products Laboratory, United States Forest Service 1487 25 नवंबर 2018 https://web.archive.org/web/20170329083207/http://ir.library.oregonstate.edu/xmlui/bitstream/handle/1957/1597/FPL_1487ocr.pdf 29 मार्च 2017 no 75radialDouglas-fir4575tangential Douglas-fir3.575parallel to grainPlatinum927PP150450various types March 2014PVC52156Quartz (fused (pure glass))0.591.77alpha-Quartz12-16/6-9http://ieeexplore.ieee.org/document/145883/ 10.1109/FREQ.1991.145883 0-87942-658-6 Thermal expansion of alpha quartz Proceedings of the 45th Annual Symposium on Frequency Control 1991 22 1991 Kosinski J.A. Gualtieri J.G. Ballato A. 25 नवंबर 2018 https://web.archive.org/web/20190203234409/https://ieeexplore.ieee.org/document/145883/ 3 फ़रवरी 2019 liveParallel to a-axis/c-axis T = -50 to 150 CRubberdisputeddisputedsee TalkSapphire5.3http://americas.kyocera.com/kicc/pdf/Kyocera%20Sapphire.pdf Sapphire kyocera.com dead https://web.archive.org/web/20051018140553/http://americas.kyocera.com/KICC/pdf/Kyocera%20Sapphire.pdf 2005-10-18Parallel to C axis, or [001]Silicon Carbide2.77http://www.ioffe.rssi.ru/SVA/NSM/Semicond/SiC/basic.html Basic Parameters of Silicon Carbide (SiC) Ioffe Institute 25 नवंबर 2018 https://web.archive.org/web/20150924035809/http://www.ioffe.rssi.ru/SVA/NSM/Semicond/SiC/basic.html 24 सितंबर 2015 dead8.31Silicon2.561982ZPhyB..48...17B 10.1007/BF02026423 The lattice parameter of highly pure silicon single crystals Zeitschrift für Physik B 48 17 1982 Becker P. Seyfried P. Siegert H. 9Silver18http://hyperphysics.phy-astr.gsu.edu/hbase/tables/thexp.html#c1 Thermal Expansion Coefficients at 20 C Georgia State University Nave, Rod 25 नवंबर 2018 https://web.archive.org/web/20181115132239/http://hyperphysics.phy-astr.gsu.edu/hbase/Tables/thexp.html#c1 15 नवंबर 2018 dead 54Sitall0±0.15http://www.star-instruments.com/russian.html Sitall CO-115M (Astrositall) Star Instruments 25 नवंबर 2018 https://web.archive.org/web/20181125204203/http://www.star-instruments.com/russian.html 25 नवंबर 2018 dead0±0.45average for −60 °C to 60 °CStainless steel10.1 ~ 17.330.3 ~ 51.9Steel11.0 ~ 13.033.0 ~ 39.0Depends on compositionTitanium8.626http://www.owlnet.rice.edu/~msci301/ThermalExpansion.pdf Thermal Expansion table 25 नवंबर 2018 https://web.archive.org/web/20181123192002/http://www.owlnet.rice.edu/~msci301/ThermalExpansion.pdf 23 नवंबर 2018 dead Tungsten4.513.5Turpentine90Water69207http://www.efunda.com/materials/common_matl/Common_Matl.cfm?MatlPhase=Liquid&MatlProp=Thermal Properties of Common Liquid Materials 25 नवंबर 2018 https://web.archive.org/web/20161108061222/http://www.efunda.com/materials/common_matl/Common_Matl.cfm?MatlPhase=Liquid&MatlProp=Thermal& 8 नवंबर 2016 dead YbGaGe≐0≐0Salvador James R. Guo Fu Hogan Tim Kanatzidis Mercouri G. Zero thermal expansion in YbGaGe due to an electronic valence transition https://archive.org/details/sim_nature-uk_2003-10-16_425_6959/page/702 Nature 425 2003 14562099 10.1038/nature02011 2003Natur.425..702S 6959 702–5RefutedJanssen Y. Change S. Cho B.K. Llobet A. Dennis K.W. McCallum R.W. Mc Queeney R.J. Canfeld P.C. YbGaGe: normal thermal expansion Journal of Alloys and Compounds 389 10–13 2005 10.1016/j.jallcom.2004.08.012 cond-mat/0407683Zerodur≈0.007-0.1http://www.schott.com/advanced_optics/english/syn/advanced_optics/products/optical-materials/zerodur-zero-expansion-glass-ceramic/zerodur/index.html Schott AG bot: unknown https://web.archive.org/web/20131004223930/http://www.schott.com/advanced_optics/english/syn/advanced_optics/products/optical-materials/zerodur-zero-expansion-glass-ceramic/zerodur/index.html 2013-10-04at 0...50 °C
बाहरी कड़ियाँ
Glass Thermal Expansion Thermal expansion measurement, definitions, thermal expansion calculation from the glass composition
Water Expansion Calculator Water thermal expansion calculator
DoITPoMS Teaching and Learning Package on Thermal Expansion and the Bi-material Strip
Engineering Toolbox – List of coefficients of Linear Expansion for some common materials
Article on how β is determined
MatWeb: Free database of engineering properties for over 79,000 materials
Clemson University Physics Lab: Linear Thermal Expansion
USA NIST Website - Temperature and Dimensional Measurement workshop
Hyperphysics: Thermal expansion
Understanding Thermal Expansion in Ceramic Glazes
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