Hostname: page-component-848d4c4894-r5zm4 Total loading time: 0 Render date: 2024-06-30T02:26:41.424Z Has data issue: false hasContentIssue false

Compressibility of β-As4S4: an in situ high-pressure single-crystal X-ray study

Published online by Cambridge University Press:  05 July 2018

G. O. Lepore
Affiliation:
Dipartimento di Scienze della Terra, Università degli Studi di Firenze, Via G. La Pira 4, I-50121 Firenze, Italy
T. Boffa Ballaran
Affiliation:
Bayerisches Geoinstitut, Universität Bayreuth, Bayreuth, D-95440, Germany
F. Nestola
Affiliation:
Dipartimento di Geoscienze, Università degli Studi di Padova, Via Gradenigo 6, I-35131 Padova, Italy
L. Bindi
Affiliation:
Museo di Storia Naturale, Sezione di Mineralogia e Litologia, Università degli Studi di Firenze, Via G. La Pira 4, I-50121 Firenze, Italy
D. Pasqual
Affiliation:
Dipartimento di Geoscienze, Università degli Studi di Padova, Via Gradenigo 6, I-35131 Padova, Italy
P. Bonazzi*
Affiliation:
Dipartimento di Scienze della Terra, Università degli Studi di Firenze, Via G. La Pira 4, I-50121 Firenze, Italy

Abstract

Ambient temperature X-ray diffraction data were collected at different pressures from two crystals of β-As4S4, which were made by heating realgar under vacuum at 295ºC for 24 h. These data were used to calculate the unit-cell parameters at pressures up to 6.86 GPa. Above 2.86 GPa, it was only possible to make an approximate measurement of the unit-cell parameters. As expected for a crystal structure that contains molecular units held together by weak van der Waals interactions, β-As4S4 has an exceptionally high compressibility. The compressibility data were fitted to a third-order Birch–Murnaghan equation of state with a resulting volume V0 = 808.2(2) Å3, bulk modulus K0 = 10.9(2) GPa and K' = 8.9(3). These values are extremely close to those reported for the low-temperature polymorph of As4S4, realgar, which contains the same As4S4 cage-molecule. Structural analysis showed that the unit-cell contraction is due mainly to the reduction in intermolecular distances, which causes a substantial reduction in the unit-cell volume (∼21% at 6.86 GPa). The cage-like As4S4 molecules are only slightly affected. No phase transitions occur in the pressure range investigated.

Micro-Raman spectra, collected across the entire pressure range, show that the peaks associated with As–As stretching have the greatest pressure dependence; the S–As–S bending frequency and the As–S stretching have a much weaker dependence or no variation at all as the pressure increases; this is in excellent agreement with the structural data.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Angel, R.J. (2000) Equations of State. Pp. 3559 in: High-Temperature and High-Pressure Crystal Chemistry (R.M. Hazen and R.T. Downs, editors). Reviews in Mineralogy and Geochemistry, 41. Mineralogical Society of America, Washington DC and the Geochemical Society, St Louis, Missouri, USA.Google Scholar
Angel, R.J. and Finger, L.W. (2011) SINGLE: a program to control single-crystal diffractometers. Journal of Applied Crystallography, 44, 247251.CrossRefGoogle Scholar
Angel, R.J., Allan, D.R., Miletich, R. and Finger, L.W. (1997) The use of quartz as an internal pressure standard in high-pressure crystallography. Journal of Applied Crystallography, 30, 461466.Google Scholar
Angel, R.J., Downs, R.T. and Finger, L.W. (2000) High-pressure, high-temperature diffractometry. Pp. 559596 in: High-Temperature and High-Pressure Crystal Chemistry (RM. Hazen and R.T. Downs, editors). Reviews in Mineralogy and Geochemistry, 41. Mineralogical Society of America, Washington DC and the Geochemical Society, St Louis, Missouri, USA.CrossRefGoogle Scholar
Angel, R.J., Bujak, M., Zhao, J., Gatta, G.D. and Jacobsen, S.D. (2007) Effective hydrostatic limits of pressure media for high-pressure crystallographic studies. Journal of Applied Crystallography, 40, 2632.CrossRefGoogle Scholar
Balic-Zunic, T. and Vickovic, I. (1996) IVTON- a program for the calculation of geometrical aspects of crystal structures and some crystal chemical applications. Journal of Applied Crystallography, 29, 305306.CrossRefGoogle Scholar
Bonazzi, P and Bindi, L. (2008) A crystallographic review of arsenic sulfides: effects of chemical variations and changes induced by light exposure. Zeitschrift fur Kristallographie, 223, 132147.Google Scholar
Bonazzi, P., Menchetti, S., Pratesi, G, Muniz-Miranda, M. and Sbrana, G (1996) Light-induced variations in realgar and [3-As4S4: X-ray diffraction and Raman studies. American Mineralogist, 81, 874880.CrossRefGoogle Scholar
Bonazzi, P., Bindi, L., Pratesi, G and Menchetti, S. (2006) Light-induced changes in molecular arsenic sulfides: state of the art and new evidence by single-crystal X-ray diffraction. American Mineralogist, 91, 13231330.CrossRefGoogle Scholar
Bondi, A. (1964) Van der Waals volumes and radii. Journal of Physical Chemistry, 68, 441452.CrossRefGoogle Scholar
Chattopadhyay, T., Werner, A. and von Schnering, H.G (1982) Thermal expansion and compressibility of fS-As4S3 . Journal of Physics and Chemistry of Solids, 48, 919923.CrossRefGoogle Scholar
Hejny, C, Sagl, R., Tobbens, D.M., Miletich, R., Wildner, M., Nasdala, L., Ullrich, A. and Balic-Zunic, T. (2012) Crystal-structure properties and the molecular nature of hydrostatically compressed realgar. Physics and Chemistry of Minerals, 39, 399412.Google Scholar
Ibers, J.A. and Hamilton, W.C. (editors) (1974) International Tables for X-ray Crystallography, vol. IV. Kynock Press, Birmingham, UK.Google Scholar
Jeanloz, R. and Hazen, R.M. (1991) Finite-strain analysis of relative compressibilities. Application to the high-pressure wadsleyite phase as an illustration. American Mineralogist, 76, 17651768.Google Scholar
King, H.E. and Finger, L.W. (1979) Diffracted beam crystal centering and its application to high-pressure crystallography. Journal of Applied Crystallography, 12, 374378.CrossRefGoogle Scholar
Kolobov, A.V. (editor) (2003) Photo-Induced Metastability in Amorphous Semiconductors. Wiley—VCH, Weinheim, Germany, 415 pp.CrossRefGoogle Scholar
Mao, H.K., Xu, J. and Bell, P.M. (1986) Calibration of the ruby pressure gauge to 800 kbar under quasi-hydrostatic conditions. Journal of Geophysical Research, 91, 46734676.CrossRefGoogle Scholar
Muniz-Miranda, M., Sbrana, G, Bonazzi, P., Menchetti, S. and Pratesi, G (1996) Spectroscopic investigation and normal mode analysis of As4S4 polymorphs. Spectrochimica Acta, A52, 13911401.CrossRefGoogle Scholar
Oxford Diffraction (2006) CrysAlis RED (version 1.171.31.2). Oxford Diffraction Ltd, Abingdon, Oxfordshire, UK.Google Scholar
Porter, E.J. and Sheldrick, G.M. (1972) Crystal structure of a new crystalline modification of tetra-arsenic tetrasulphide (2,4,6,8-tetrathia-1,3,5,7-tetra-arsatri-cyclo[3,3,0,03,7]-octane). Journal of the Chemical Society, Dalton Transactions, 13, 13471349.CrossRefGoogle Scholar
Sheldrick, G.M. (2008) A short history of SHELX. Acta Crystallographica, A64, 112122.CrossRefGoogle Scholar
Stoe and Cie (2008) X-RED32 and X-SHAPE. Stoe and Cie, Darmstadt, Germany.Google Scholar
Tuktabiev, M.A., Popova, S.V., Brazhkin, V.V., Lyapin, A.G and Katayama, Y. (2009) Compressibility and polymorphism of a-As4S4 realgar under high pressure. Journal of Physics: Condensed Matter, 21, http://dx.doi.org/10.1088/0953-8984/21/38/385401.Google ScholarPubMed