Elastic behavior of vanadinite, Pb10 (VO4)6Cl2, a microporous non-zeolitic mineral

G. Diego Gatta, Yongjae Lee, Chi Chang Kao

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The high-pressure behavior of a vanadinite (Pb10 (VO4)6Cl2, a = b = 10.3254(5), c = 7.3450(4) Å, space group P63/m), a natural microporous mineral, has been investigated using in-situ HP-synchrotron X-ray powder diffraction up to 7.67 GPa with a diamond anvil cell under hydrostatic conditions. No phase transition has been observed within the pressure range investigated. Axial and volume isothermal Equations of State (EoS) of vanadinite were determined. Fitting the P-V data with a third-order Birch-Murnaghan (BM) EoS, using the data weighted by the uncertainties in P and V, we obtained: V0 = 681(1) Å3, K0 = 41(5) GPa, and K′ = 12.5(2.5). The evolution of the lattice constants with P shows a strong anisotropic compression pattern. The axial bulk moduli were calculated with a third-order "linearized" BM-EoS. The EoS parameters are: a0 = 10.3302(2) Å, K0(a) = 35(2) GPa and K′(a) = 10(1) for the a-axis; c0 = 7.3520(3) Å, K0(c) = 98(4) GPa, and K′(c) = 9(2) for the c-axis (K0(a):K0(c) = 1:2.80). Axial and volume Eulerianfinite strain (fe) at different normalized stress (Fe) were calculated. The weighted linear regression through the data points yields the following intercept values: Fea(0) = 35(2) GPa for the a-axis, Fec(0) = 98(4) GPa for the c-axis and FeV(0) = 45(2) GPa for the unit-cell volume. The slope of the regression lines gives rise to K′ values of 10(1) for the a-axis, 9(2) for the c-axis and 11(1) for the unit cell-volume. A comparison between the HP-elastic response of vanadinite and the iso-structural apatite is carried out. The possible reasons of the elastic anisotropy are discussed.

Original languageEnglish
Pages (from-to)311-317
Number of pages7
JournalPhysics and Chemistry of Minerals
Volume36
Issue number6
DOIs
Publication statusPublished - 2009 Jan 1

Fingerprint

vanadinite
Equations of state
equation of state
Minerals
mineral
Apatites
diamond anvil cell
Diamond
bulk modulus
Apatite
phase transition
Synchrotrons
hydrostatics
Linear regression
X ray powder diffraction
apatite
Lattice constants
Diamonds
Anisotropy
anisotropy

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Geochemistry and Petrology

Cite this

@article{ca6e2becae284fea85d4f50bcd7de61a,
title = "Elastic behavior of vanadinite, Pb10 (VO4)6Cl2, a microporous non-zeolitic mineral",
abstract = "The high-pressure behavior of a vanadinite (Pb10 (VO4)6Cl2, a = b = 10.3254(5), c = 7.3450(4) {\AA}, space group P63/m), a natural microporous mineral, has been investigated using in-situ HP-synchrotron X-ray powder diffraction up to 7.67 GPa with a diamond anvil cell under hydrostatic conditions. No phase transition has been observed within the pressure range investigated. Axial and volume isothermal Equations of State (EoS) of vanadinite were determined. Fitting the P-V data with a third-order Birch-Murnaghan (BM) EoS, using the data weighted by the uncertainties in P and V, we obtained: V0 = 681(1) {\AA}3, K0 = 41(5) GPa, and K′ = 12.5(2.5). The evolution of the lattice constants with P shows a strong anisotropic compression pattern. The axial bulk moduli were calculated with a third-order {"}linearized{"} BM-EoS. The EoS parameters are: a0 = 10.3302(2) {\AA}, K0(a) = 35(2) GPa and K′(a) = 10(1) for the a-axis; c0 = 7.3520(3) {\AA}, K0(c) = 98(4) GPa, and K′(c) = 9(2) for the c-axis (K0(a):K0(c) = 1:2.80). Axial and volume Eulerianfinite strain (fe) at different normalized stress (Fe) were calculated. The weighted linear regression through the data points yields the following intercept values: Fea(0) = 35(2) GPa for the a-axis, Fec(0) = 98(4) GPa for the c-axis and FeV(0) = 45(2) GPa for the unit-cell volume. The slope of the regression lines gives rise to K′ values of 10(1) for the a-axis, 9(2) for the c-axis and 11(1) for the unit cell-volume. A comparison between the HP-elastic response of vanadinite and the iso-structural apatite is carried out. The possible reasons of the elastic anisotropy are discussed.",
author = "Gatta, {G. Diego} and Yongjae Lee and Kao, {Chi Chang}",
year = "2009",
month = "1",
day = "1",
doi = "10.1007/s00269-008-0279-6",
language = "English",
volume = "36",
pages = "311--317",
journal = "Physics and Chemistry of Minerals",
issn = "0342-1791",
publisher = "Springer Verlag",
number = "6",

}

Elastic behavior of vanadinite, Pb10 (VO4)6Cl2, a microporous non-zeolitic mineral. / Gatta, G. Diego; Lee, Yongjae; Kao, Chi Chang.

In: Physics and Chemistry of Minerals, Vol. 36, No. 6, 01.01.2009, p. 311-317.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Elastic behavior of vanadinite, Pb10 (VO4)6Cl2, a microporous non-zeolitic mineral

AU - Gatta, G. Diego

AU - Lee, Yongjae

AU - Kao, Chi Chang

PY - 2009/1/1

Y1 - 2009/1/1

N2 - The high-pressure behavior of a vanadinite (Pb10 (VO4)6Cl2, a = b = 10.3254(5), c = 7.3450(4) Å, space group P63/m), a natural microporous mineral, has been investigated using in-situ HP-synchrotron X-ray powder diffraction up to 7.67 GPa with a diamond anvil cell under hydrostatic conditions. No phase transition has been observed within the pressure range investigated. Axial and volume isothermal Equations of State (EoS) of vanadinite were determined. Fitting the P-V data with a third-order Birch-Murnaghan (BM) EoS, using the data weighted by the uncertainties in P and V, we obtained: V0 = 681(1) Å3, K0 = 41(5) GPa, and K′ = 12.5(2.5). The evolution of the lattice constants with P shows a strong anisotropic compression pattern. The axial bulk moduli were calculated with a third-order "linearized" BM-EoS. The EoS parameters are: a0 = 10.3302(2) Å, K0(a) = 35(2) GPa and K′(a) = 10(1) for the a-axis; c0 = 7.3520(3) Å, K0(c) = 98(4) GPa, and K′(c) = 9(2) for the c-axis (K0(a):K0(c) = 1:2.80). Axial and volume Eulerianfinite strain (fe) at different normalized stress (Fe) were calculated. The weighted linear regression through the data points yields the following intercept values: Fea(0) = 35(2) GPa for the a-axis, Fec(0) = 98(4) GPa for the c-axis and FeV(0) = 45(2) GPa for the unit-cell volume. The slope of the regression lines gives rise to K′ values of 10(1) for the a-axis, 9(2) for the c-axis and 11(1) for the unit cell-volume. A comparison between the HP-elastic response of vanadinite and the iso-structural apatite is carried out. The possible reasons of the elastic anisotropy are discussed.

AB - The high-pressure behavior of a vanadinite (Pb10 (VO4)6Cl2, a = b = 10.3254(5), c = 7.3450(4) Å, space group P63/m), a natural microporous mineral, has been investigated using in-situ HP-synchrotron X-ray powder diffraction up to 7.67 GPa with a diamond anvil cell under hydrostatic conditions. No phase transition has been observed within the pressure range investigated. Axial and volume isothermal Equations of State (EoS) of vanadinite were determined. Fitting the P-V data with a third-order Birch-Murnaghan (BM) EoS, using the data weighted by the uncertainties in P and V, we obtained: V0 = 681(1) Å3, K0 = 41(5) GPa, and K′ = 12.5(2.5). The evolution of the lattice constants with P shows a strong anisotropic compression pattern. The axial bulk moduli were calculated with a third-order "linearized" BM-EoS. The EoS parameters are: a0 = 10.3302(2) Å, K0(a) = 35(2) GPa and K′(a) = 10(1) for the a-axis; c0 = 7.3520(3) Å, K0(c) = 98(4) GPa, and K′(c) = 9(2) for the c-axis (K0(a):K0(c) = 1:2.80). Axial and volume Eulerianfinite strain (fe) at different normalized stress (Fe) were calculated. The weighted linear regression through the data points yields the following intercept values: Fea(0) = 35(2) GPa for the a-axis, Fec(0) = 98(4) GPa for the c-axis and FeV(0) = 45(2) GPa for the unit-cell volume. The slope of the regression lines gives rise to K′ values of 10(1) for the a-axis, 9(2) for the c-axis and 11(1) for the unit cell-volume. A comparison between the HP-elastic response of vanadinite and the iso-structural apatite is carried out. The possible reasons of the elastic anisotropy are discussed.

UR - http://www.scopus.com/inward/record.url?scp=67349256418&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67349256418&partnerID=8YFLogxK

U2 - 10.1007/s00269-008-0279-6

DO - 10.1007/s00269-008-0279-6

M3 - Article

AN - SCOPUS:67349256418

VL - 36

SP - 311

EP - 317

JO - Physics and Chemistry of Minerals

JF - Physics and Chemistry of Minerals

SN - 0342-1791

IS - 6

ER -