A systematic theory of one-cell differential thermal analysis |
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Authors: | Yu L Shishkin |
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Institution: | (1) Department of Physical and Analytical Chemistry, Lenin Pedagogical Institute, Moscow, U.S.S.R. |
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Abstract: | The mathematical theory is developed for heat transfer in the cells of DTA instruments with no temperature gradient. Equations are derived for the various portions of the differential curve. The concepts of real and hypothetical base lines are introduced and rules are formulated for plotting them. Three methods are proposed for processing the curves, with and without the introduction of base lines. The physical meanings of the geometrical elements of the thermal curves and their relationship with the experimentally determined thermal quantities are elucidated. Equations in differential and integral forms are derived for the base line of the cell and the base line of the reaction.
Zusammenfassung Eine mathematische Theorie für den Wärmeübergang in Zellen von DTA-Geräten ohne Temperaturgradient wird entwickelt. Für die einzelnen Abschnitte der differentiellen Kurve werden Gleichungen abgeleitet. Das Konzept der reellen und hypothetischen Grundlinien wird eingeführt und Regeln für deren Konstruktion werden aufgestellt. Drei Methoden zur Darstellung der Kurven mit und ohne Einführung der Grundlinien werden vorgeschlagen. Die physikalische Bedeutung der geometrischen Elemente der thermischen Kurven und deren Beziehung zu den experimentell bestimmten thermischen Größen werden klargestellt. Für die Grundlinie der Zelle und für die der Reaktion werden Gleichungen in differentieller und integraler Form abgeleitet.
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![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![mcy](/content/l06q64px0436x67w/xxlarge1084.gif) . ![Vcy](/content/l06q64px0436x67w/xxlarge1042.gif) ![ycy](/content/l06q64px0436x67w/xxlarge1099.gif) ![vcy](/content/l06q64px0436x67w/xxlarge1074.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![dcy](/content/l06q64px0436x67w/xxlarge1076.gif) ![yacy](/content/l06q64px0436x67w/xxlarge1103.gif) ![tcy](/content/l06q64px0436x67w/xxlarge1090.gif) ![ucy](/content/l06q64px0436x67w/xxlarge1091.gif) ![rcy](/content/l06q64px0436x67w/xxlarge1088.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![vcy](/content/l06q64px0436x67w/xxlarge1074.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![iecy](/content/l06q64px0436x67w/xxlarge1077.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![bcy](/content/l06q64px0436x67w/xxlarge1073.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![zcy](/content/l06q64px0436x67w/xxlarge1079.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![vcy](/content/l06q64px0436x67w/xxlarge1074.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![yacy](/content/l06q64px0436x67w/xxlarge1103.gif) ![chcy](/content/l06q64px0436x67w/xxlarge1095.gif) ![iecy](/content/l06q64px0436x67w/xxlarge1077.gif) ![jcy](/content/l06q64px0436x67w/xxlarge1081.gif) ![kcy](/content/l06q64px0436x67w/xxlarge1082.gif) ![bcy](/content/l06q64px0436x67w/xxlarge1073.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![zcy](/content/l06q64px0436x67w/xxlarge1079.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![vcy](/content/l06q64px0436x67w/xxlarge1074.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![lcy](/content/l06q64px0436x67w/xxlarge1083.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![rcy](/content/l06q64px0436x67w/xxlarge1088.gif) ![iecy](/content/l06q64px0436x67w/xxlarge1077.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![kcy](/content/l06q64px0436x67w/xxlarge1082.gif) ![tscy](/content/l06q64px0436x67w/xxlarge1094.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![dcy](/content/l06q64px0436x67w/xxlarge1076.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![fcy](/content/l06q64px0436x67w/xxlarge1092.gif) ![fcy](/content/l06q64px0436x67w/xxlarge1092.gif) ![iecy](/content/l06q64px0436x67w/xxlarge1077.gif) ![rcy](/content/l06q64px0436x67w/xxlarge1088.gif) ![iecy](/content/l06q64px0436x67w/xxlarge1077.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![tscy](/content/l06q64px0436x67w/xxlarge1094.gif) ![icy](/content/l06q64px0436x67w/xxlarge1080.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![lcy](/content/l06q64px0436x67w/xxlarge1083.gif) ![softcy](/content/l06q64px0436x67w/xxlarge1100.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![tcy](/content/l06q64px0436x67w/xxlarge1090.gif) ![iecy](/content/l06q64px0436x67w/xxlarge1077.gif) ![gcy](/content/l06q64px0436x67w/xxlarge1075.gif) ![rcy](/content/l06q64px0436x67w/xxlarge1088.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) ![lcy](/content/l06q64px0436x67w/xxlarge1083.gif) ![softcy](/content/l06q64px0436x67w/xxlarge1100.gif) ![ncy](/content/l06q64px0436x67w/xxlarge1085.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![fcy](/content/l06q64px0436x67w/xxlarge1092.gif) ![ocy](/content/l06q64px0436x67w/xxlarge1086.gif) ![rcy](/content/l06q64px0436x67w/xxlarge1088.gif) ![mcy](/content/l06q64px0436x67w/xxlarge1084.gif) ![acy](/content/l06q64px0436x67w/xxlarge1072.gif) .
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