Next Article in Journal
The Passive Film Growth Mechanism of New Corrosion-Resistant Steel Rebar in Simulated Concrete Pore Solution: Nanometer Structure and Electrochemical Study
Previous Article in Journal
Preparation and Characterization of Thermoresponsive Poly(N-isopropylacrylamide-co-acrylic acid)-Grafted Hollow Fe3O4/SiO2 Microspheres with Surface Holes for BSA Release
Previous Article in Special Issue
Negative Thermal Expansion in Ba0.5Sr0.5Zn2SiGeO7
Article Menu
Issue 4 (April) cover image

Export Article

Open AccessFeature PaperArticle
Materials 2017, 10(4), 410;

Fundamentals of Thermal Expansion and Thermal Contraction

Department of Materials Science and Engineering, The Pennsylvania State University, University Park, PA 16802, USA
Author to whom correspondence should be addressed.
Academic Editor: Thomas Fiedler
Received: 29 March 2017 / Revised: 11 April 2017 / Accepted: 11 April 2017 / Published: 14 April 2017
(This article belongs to the Special Issue Negative Thermal Expansion Materials)
Full-Text   |   PDF [2325 KB, uploaded 14 April 2017]   |  


Thermal expansion is an important property of substances. Its theoretical prediction has been challenging, particularly in cases the volume decreases with temperature, i.e., thermal contraction or negative thermal expansion at high temperatures. In this paper, a new theory recently developed by the authors has been reviewed and further examined in the framework of fundamental thermodynamics and statistical mechanics. Its applications to cerium with colossal thermal expansion and Fe3Pt with thermal contraction in certain temperature ranges are discussed. It is anticipated that this theory is not limited to volume only and can be used to predict a wide range of properties at finite temperatures. View Full-Text
Keywords: negative thermal expansion (NTE); thermal contraction; theory; thermodynamics; statistical mechanics negative thermal expansion (NTE); thermal contraction; theory; thermodynamics; statistical mechanics

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Liu, Z.-K.; Shang, S.-L.; Wang, Y. Fundamentals of Thermal Expansion and Thermal Contraction. Materials 2017, 10, 410.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Materials EISSN 1996-1944 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top