Elastic and anelastic properties of α- and b-quartz single crystals

Klumbach, Steffen; Schilling, Frank

doi:10.1127/0935-1221/2014/0026-2362

Cited by 11 publications

(5 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A particular problem concerning quartz is the α‐β crystallographic transition that occurs at temperatures from 573.0 to 574.3°C [ Ohno et al ., ], at ambient pressure conditions. Recent studies have focused on how elasticity changes across this transition [ Ohno et al ., ; Lakshtanov et al ., ; Klumbach and Schilling , ] (Figure ). At higher hydrostatic pressures, the crystallographic transition is elevated, and the transition temperature increases at a rate of 25.8 ± 0.3°C/kbar in the pressure range from 1 to 5 kbar, as shown experimentally by Coe and Paterson [].…”

Section: Single‐crystal Elastic Constantsmentioning

confidence: 99%

Seismic properties and anisotropy of the continental crust: Predictions based on mineral texture and rock microstructure

Almqvist

Mainprice

2017

Reviews of Geophysics

164

127

View full text Add to dashboard Cite

Progress in seismic methodology and ambitious large‐scale seismic projects are enabling high‐resolution imaging of the continental crust. The ability to constrain interpretations of crustal seismic data is based on laboratory measurements on rock samples and calculations of seismic properties. Seismic velocity calculations and their directional dependence are based on the rock microfabric, which consists of mineral aggregate properties including crystallographic preferred orientation (CPO), grain shape and distribution, grain boundary distribution, and misorientation within grains. Single‐mineral elastic constants and density are crucial for predicting seismic velocities, preferably at conditions that span the crust. However, high‐temperature and high‐pressure elastic constant data are not as common as those determined at standard temperature and pressure (STP; atmospheric conditions). Continental crust has a very diverse mineral composition; however, a select number of minerals appear to dominate seismic properties because of their high‐volume fraction contribution. Calculations of microfabric‐based seismic properties and anisotropy are performed with averaging methods that in their simplest form takes into account the CPO and modal mineral composition, and corresponding single crystal elastic constants. More complex methods can take into account other microstructural characteristics, including the grain shape and distribution of mineral grains and cracks and pores. Dynamic or active wave propagation schemes have recently been developed, which offer a complementary method to existing static averaging methods generally based on the use of the Christoffel equation. A challenge for the geophysics and rock physics communities is the separation of intrinsic factors affecting seismic anisotropy, due to properties of crystals within a rock and apparent sources due to extrinsic factors like cracks, fractures, and alteration. This is of particular importance when trying to deduce crustal composition and the state of deformation from seismic parameters.

show abstract

Section: Single‐crystal Elastic Constantsmentioning

confidence: 99%

Seismic properties and anisotropy of the continental crust: Predictions based on mineral texture and rock microstructure

Almqvist

Mainprice

2017

Reviews of Geophysics

164

127

View full text Add to dashboard Cite

show abstract

“…At the transition temperature, the structure undergoes a displacive transition to a hexagonal β form. The transition is accompanied by anomalies in specific heat, thermal expansion, refractive index, and modulus (elastic and anelastic) 7,10‐17 . The Si–O–Si bonds are flexed and stretched but not broken in this reversible transition 18 …”

Section: Figurementioning

confidence: 99%

“…The transition is accompanied by anomalies in specific heat, thermal expansion, refractive index, and modulus (elastic and anelastic). 7,[10][11][12][13][14][15][16][17] The Si-O-Si bonds are flexed and stretched but not broken in this reversible transition. 18 We conducted basic indentation tests to characterize temperature dependence of deformation and fracture properties of quartz crystals.…”

mentioning

confidence: 99%

Precipitous weakening of quartz at the α–β phase inversion

et al. 2020

View full text Add to dashboard Cite

Crystalline quartz has long been identified as among the weakest of abundant crustal minerals. This weakness is particularly evident around the α-β phase inversion at 573°C, in which Si-O bonds undergo a displacive structural transformation from trigonal to hexagonal symmetry. Here we present data using indentation testing methodologies that highlight the precipitous extent of the transformational weakening. Although the indentations are localized over relatively small specimen contact areas, the data quantify the essential deformation and fracture properties of quartz in a predominantly (but not exclusively) compressive stress field, at temperatures and pressures pertinent to conditions in the earth's crust.

show abstract

“…> 30 K below the phase transition, apparent changes of anelastic (thermal expansion) and elastic properties (e.g. elastic constants and therewith acoustic wave velocities) are observed (Raz et al, 2002;Klumbach and Schilling, 2014).…”

Section: Introductionmentioning

confidence: 99%

Anisotropic thermal transport properties of quartz: from −120 °C through the <i>α</i>–<i>β</i> phase transition

Breuer

Schilling

2021

Eur. J. Mineral.

Self Cite

View full text Add to dashboard Cite

Abstract. Thermal diffusivities of synthetic quartz single crystals have been measured between −120 and 800 ∘C using a laser flash method. At −120 ∘C, the lattice thermal diffusivities are D[001]=15.7(8) mm2 s−1 and D[100]=8.0(4) mm2 s−1 in the [001] and [100] directions, respectively. Between −80 and 560 ∘C, the temperature dependence is well approximated by a D(T)=1/Tn dependency (with n=1.824(29) and n=1.590(21) for the [001] and [100] directions), whereas for lower temperatures measured thermal diffusivities show smaller values. The anisotropy of the thermal diffusivity D[001]∕D[100] decreases linearly over T in α- and β-quartz, with a discontinuity at the α–β phase transition at Tα,β=573 ∘C. In the measured signal–time curves of α-quartz, an unusual radiative heat transfer is observed, which can be linked to the phase transition. However, the effect is already observed far below the actual transition temperature. The standard evaluation procedure insufficiently describes the behaviour and leads to an underestimation of the thermal diffusivity of ≥20 %. Applying a new semi-empirical model of radiation absorption and re-emission reproduces well the observed radiative heat transfer originating in the phase transition. In the β-quartz region, the radiative heat transfer is not influenced by the phase transition effect observed in α-quartz and for the thermal diffusivity evaluation common models for (semi)transparent samples can be used.

show abstract

Elastic and anelastic properties of α- and b-quartz single crystals

Cited by 11 publications

References 38 publications

Seismic properties and anisotropy of the continental crust: Predictions based on mineral texture and rock microstructure

Seismic properties and anisotropy of the continental crust: Predictions based on mineral texture and rock microstructure

Precipitous weakening of quartz at the α–β phase inversion

Anisotropic thermal transport properties of quartz: from −120 °C through the <i>α</i>–<i>β</i> phase transition

Contact Info

Product

Resources

About

Elastic and anelastic properties of α- and b-quartz single crystals

Cited by 11 publications

References 38 publications

Seismic properties and anisotropy of the continental crust: Predictions based on mineral texture and rock microstructure

Seismic properties and anisotropy of the continental crust: Predictions based on mineral texture and rock microstructure

Precipitous weakening of quartz at the α–β phase inversion

Anisotropic thermal transport properties of quartz: from −120 °C through the &lt;i&gt;α&lt;/i&gt;–&lt;i&gt;β&lt;/i&gt; phase transition

Contact Info

Product

Resources

About

Anisotropic thermal transport properties of quartz: from −120 °C through the <i>α</i>–<i>β</i> phase transition