Single Crystal Elastic Properties of Hemimorphite, a Novel Hydrous Silicate

Yingzhe Li; Jay D. Bass

doi:10.3390/min10050425

Single Crystal Elastic Properties of Hemimorphite, a Novel Hydrous Silicate

Yingzhe Li, Jay D. Bass

Geology

Research output: Contribution to journal › Article › peer-review

Abstract

Hemimorphite, with the chemical formula Zn₄Si₂O₇(OH)₂·H₂O, contains two different types of structurally bound hydrogen: molecular water and hydroxyl. The elastic properties of single-crystal hemimorphite have been determined by Brillouin spectroscopy at ambient conditions, yielding tight constraints on all nine single-crystal elastic moduli (C_ij). The Voigt–Reuss–Hill (VRH) averaged isotropic aggregate elastic moduli are K_S (VRH) = 74(3) GPa and µ (VRH) = 27(2) GPa, for the adiabatic bulk modulus and shear modulus, respectively. The average of the Hashin–Shtrickman (HS) bounds are Ks (HS) = 74.2(7) GPa and and µ (HS) = 26.5(6) GPa. Hemimorphite displays a high degree of velocity anisotropy. As a result, differences between upper and lower bounds on aggregate properties are large and the main source of uncertainty in Ks and µ. The HS average P wave velocity is V_P = 5.61(4) km/s, and the HS S-wave velocity is V_S = 2.77(3) km/s. The high degree of elastic anisotropy among the on-diagonal longitudinal and pure shear moduli of hemimorphite are largely explained by its distinctive crystal structure.

Original language	English (US)
Article number	425
Journal	Minerals
Volume	10
Issue number	5
DOIs	https://doi.org/10.3390/min10050425
State	Published - May 10 2020

Keywords

Brillouin
Elastic properties
Hydrogen bonds
Sound velocity

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Geology

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10.3390/min10050425License: CC BY

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abstract = "Hemimorphite, with the chemical formula Zn4Si2O7(OH)2·H2O, contains two different types of structurally bound hydrogen: molecular water and hydroxyl. The elastic properties of single-crystal hemimorphite have been determined by Brillouin spectroscopy at ambient conditions, yielding tight constraints on all nine single-crystal elastic moduli (Cij). The Voigt–Reuss–Hill (VRH) averaged isotropic aggregate elastic moduli are KS (VRH) = 74(3) GPa and µ (VRH) = 27(2) GPa, for the adiabatic bulk modulus and shear modulus, respectively. The average of the Hashin–Shtrickman (HS) bounds are Ks (HS) = 74.2(7) GPa and and µ (HS) = 26.5(6) GPa. Hemimorphite displays a high degree of velocity anisotropy. As a result, differences between upper and lower bounds on aggregate properties are large and the main source of uncertainty in Ks and µ. The HS average P wave velocity is VP = 5.61(4) km/s, and the HS S-wave velocity is VS = 2.77(3) km/s. The high degree of elastic anisotropy among the on-diagonal longitudinal and pure shear moduli of hemimorphite are largely explained by its distinctive crystal structure.",

keywords = "Brillouin, Elastic properties, Hydrogen bonds, Sound velocity",

author = "Yingzhe Li and Bass, {Jay D.}",

note = "Funding Information: Funding: This research was supported by the National Science Foundation, under grant EAR 16‐20616.",

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N2 - Hemimorphite, with the chemical formula Zn4Si2O7(OH)2·H2O, contains two different types of structurally bound hydrogen: molecular water and hydroxyl. The elastic properties of single-crystal hemimorphite have been determined by Brillouin spectroscopy at ambient conditions, yielding tight constraints on all nine single-crystal elastic moduli (Cij). The Voigt–Reuss–Hill (VRH) averaged isotropic aggregate elastic moduli are KS (VRH) = 74(3) GPa and µ (VRH) = 27(2) GPa, for the adiabatic bulk modulus and shear modulus, respectively. The average of the Hashin–Shtrickman (HS) bounds are Ks (HS) = 74.2(7) GPa and and µ (HS) = 26.5(6) GPa. Hemimorphite displays a high degree of velocity anisotropy. As a result, differences between upper and lower bounds on aggregate properties are large and the main source of uncertainty in Ks and µ. The HS average P wave velocity is VP = 5.61(4) km/s, and the HS S-wave velocity is VS = 2.77(3) km/s. The high degree of elastic anisotropy among the on-diagonal longitudinal and pure shear moduli of hemimorphite are largely explained by its distinctive crystal structure.

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Single Crystal Elastic Properties of Hemimorphite, a Novel Hydrous Silicate

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