Linear Thermal Expansion of Three Tungstates

Martinek, Charles; Hummel, F. A.

doi:10.1111/j.1151-2916.1968.tb11881.x

Cited by 120 publications

(116 citation statements)

References 2 publications

Supporting

Mentioning

107

Contrasting

Unclassified

Order By: Relevance

“…Negative thermal expansion of ZrW 2 O 8 was first reported by Martinek and Hummel [19] with subsequent reporting of isotropic NTE over a wide T range T = 0.3 − 1050 K from Sleight's group (figure 5, [20]). In fact, ZrW 2 O 8 consists of ZrO 6 octahedra and WO 4 tetrahedra, which are connected via the corner O atoms.…”

Section: Zirconium Tungstatementioning

confidence: 99%

Negative thermal expansion materials: technological key for control of thermal expansion

Takenaka

2012

Science and Technology of Advanced Materials

482

311

View full text Add to dashboard Cite

Most materials expand upon heating. However, although rare, some materials contract upon heating. Such negative thermal expansion (NTE) materials have enormous industrial merit because they can control the thermal expansion of materials. Recent progress in materials research enables us to obtain materials exhibiting negative coefficients of linear thermal expansion over −30 ppm K −1 . Such giant NTE is opening a new phase of control of thermal expansion in composites. Specifically examining practical aspects, this review briefly summarizes materials and mechanisms of NTE as well as composites containing NTE materials, based mainly on activities of the last decade.

show abstract

Section: Zirconium Tungstatementioning

confidence: 99%

Negative thermal expansion materials: technological key for control of thermal expansion

Takenaka

2012

Science and Technology of Advanced Materials

482

311

View full text Add to dashboard Cite

show abstract

“…Materials with negative thermal expansion coefficients will contract when they are heated. Some materials, e.g., zirconium tungstate family (Sleight 1998;Ramirez and Kowach 1998;Martinek and Hummel 1968;Evans et al 1999) and a number of zeolites (Lightfoot et al 2001), have negative thermal expansion coefficients. Such materials might be used, together with conventional materials, to make composites that have any desired thermal expansion properties.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of periodic frame structures with negative thermal expansion via mixed integer programming

Hirota

Kanno

2015

Optim Eng

View full text Add to dashboard Cite

When structures and microstructures consisting of two or more materials with positive thermal expansion have specific configurations, they are able to have negative thermal expansion coefficients, i.e., they contract when heated. This paper proposes a topology optimization methodology of frame structures for designing a planar periodic structure that exhibits negative thermal expansion property. Provided that beam section of each existing member is chosen from a set of finitely many predetermined candidates, we show that this topology optimization problem with multiple material phases can be formulated as a mixed-integer linear programming problem. A global optimal solution can hence be found with a readily available software package. Since the proposed method treats frame structures and addresses local stress constraints, the optimal solution contains neither thin members nor hinge-like regions. To avoid too complicated structural designs realized as assemblage of many small pieces, this paper develops the constraints that separate distributions of two different materials. Numerical experiments are performed to show that structures with negative or near zero thermal expansion can be obtained by the proposed method.

show abstract

“…First prepared more than 40 years ago by Graham et al, 32 its uncommon thermal expansion behavior had already been known for some time when Mary et al showed that the isotropic NTE in this compound extends over its entire range of metastability, from 0.3 to 1050 K. 33,34 Several elements and compounds that exhibit NTE (at least over a limited temperature range) also show PIA. Examples of this trend include silicon, ice and SiO 2 .…”

Section: Zirconium Tungstatementioning

confidence: 99%

Raman spectroscopy as a probe for in situ studies of pressure‐induced amorphization: some illustrative examples

Pereira

Perottoni

Jornada

2003

J Raman Spectroscopy

View full text Add to dashboard Cite

The main models proposed in the literature to describe pressure-induced amorphization (PIA) are briefly reviewed, with special emphasis on the kinetic aspects of PIA. The high potential of Raman spectroscopy for experimental studies on PIA is highlighted and illustrated by the results obtained for zirconium tungstate (ZrW 2 O 8 ) and boric acid (H 3 BO 3 ). Compared with x-ray diffraction using a conventional x-ray tube, Raman spectroscopy allowed a much faster identification of the transitions in both compounds. Further, the Raman results for ZrW 2 O 8 have given support to an amorphization mechanism based on the freezing of low-energy vibrational modes associated with rigid (or quasi-rigid) ZrO 6 and WO 4 polyhedral units. For H 3 BO 3 , we obtained strong evidence of a PIA associated with hindered decomposition of H 3 BO 3 , probably to a mixture of HBO 2 and H 2 O. The short acquisition time for the Raman measurements of samples under high pressure enabled us to follow the kinetics of the transition on H 3 BO 3 , which couldhardly be done by conventional x-ray diffraction. Raman spectroscopy proved to be a very convenient technique to study the mechanisms behind PIA, owing not only to the fast acquisition of information about phase transition kinetics, but also to the structural information that can be obtained.

show abstract

Linear Thermal Expansion of Three Tungstates

Cited by 120 publications

References 2 publications

Negative thermal expansion materials: technological key for control of thermal expansion

Negative thermal expansion materials: technological key for control of thermal expansion

Optimal design of periodic frame structures with negative thermal expansion via mixed integer programming

Raman spectroscopy as a probe for in situ studies of pressure‐induced amorphization: some illustrative examples

Contact Info

Product

Resources

About