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Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system. / Sokolova, Tatiana S.; Dorogokupets, Peter I.; Litasov, Konstantin D. et al.

In: High Pressure Research, Vol. 38, No. 3, 03.07.2018, p. 193-211.

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

Harvard

Sokolova, TS, Dorogokupets, PI, Litasov, KD, Danilov, BS & Dymshits, AM 2018, 'Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system', High Pressure Research, vol. 38, no. 3, pp. 193-211. https://doi.org/10.1080/08957959.2018.1465056

APA

Sokolova, T. S., Dorogokupets, P. I., Litasov, K. D., Danilov, B. S., & Dymshits, A. M. (2018). Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system. High Pressure Research, 38(3), 193-211. https://doi.org/10.1080/08957959.2018.1465056

Vancouver

Sokolova TS, Dorogokupets PI, Litasov KD, Danilov BS, Dymshits AM. Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system. High Pressure Research. 2018 Jul 3;38(3):193-211. doi: 10.1080/08957959.2018.1465056

Author

Sokolova, Tatiana S. ; Dorogokupets, Peter I. ; Litasov, Konstantin D. et al. / Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system. In: High Pressure Research. 2018 ; Vol. 38, No. 3. pp. 193-211.

BibTeX

@article{ae266b550a424982b02c3b3517d2c601,
title = "Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system",
abstract = "Modified equations of state (EoS) of forsterite, wadsleyite, ringwoodite, akimotoite, bridgmanite and post-perovskite based on the Helmholtz free energy are described using Microsoft Excel spreadsheets. The equations of state were set up by joint analysis of reference experimental data and can be used to calculate thermodynamic and thermoelastic parameters and P–V–T properties of the Mg-silicates. We used Visual Basic for Applications module in Microsoft Excel and presented a simultaneous calculation of full set of thermodynamic and thermoelastic functions using only T–P and T–V data as input parameters. Phase transitions in the MgSiO3–MgO system play an important role in the interpretation of the seismic boundaries of the upper Earth{\textquoteright}s mantle and in the D″ layer. Therefore, proposed EoSes of silicates in the MgSiO3–MgO system have clear geophysical implications. The developed software will be interesting to specialists who are engaged to study the mantle mineralogy and Earth{\textquoteright}s interior.",
keywords = "Equation of state, excel spreadsheets, Helmholtz free energy, mantle, silicates, HIGH-PRESSURE, ELASTIC PROPERTIES, THERMAL-EXPANSION, SINGLE-CRYSTAL FORSTERITE, X-RAY-DIFFRACTION, GRUNEISEN-PARAMETER, SEISMIC STRUCTURE, EQUATION-OF-STATE, TEMPERATURE HEAT-CAPACITIES, POST-PEROVSKITE PHASE",
author = "Sokolova, {Tatiana S.} and Dorogokupets, {Peter I.} and Litasov, {Konstantin D.} and Danilov, {Boris S.} and Dymshits, {Anna M.}",
year = "2018",
month = jul,
day = "3",
doi = "10.1080/08957959.2018.1465056",
language = "English",
volume = "38",
pages = "193--211",
journal = "High Pressure Research",
issn = "0895-7959",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Spreadsheets to calculate P–V–T relations, thermodynamic and thermoelastic properties of silicates in the MgSiO3–MgO system

AU - Sokolova, Tatiana S.

AU - Dorogokupets, Peter I.

AU - Litasov, Konstantin D.

AU - Danilov, Boris S.

AU - Dymshits, Anna M.

PY - 2018/7/3

Y1 - 2018/7/3

N2 - Modified equations of state (EoS) of forsterite, wadsleyite, ringwoodite, akimotoite, bridgmanite and post-perovskite based on the Helmholtz free energy are described using Microsoft Excel spreadsheets. The equations of state were set up by joint analysis of reference experimental data and can be used to calculate thermodynamic and thermoelastic parameters and P–V–T properties of the Mg-silicates. We used Visual Basic for Applications module in Microsoft Excel and presented a simultaneous calculation of full set of thermodynamic and thermoelastic functions using only T–P and T–V data as input parameters. Phase transitions in the MgSiO3–MgO system play an important role in the interpretation of the seismic boundaries of the upper Earth’s mantle and in the D″ layer. Therefore, proposed EoSes of silicates in the MgSiO3–MgO system have clear geophysical implications. The developed software will be interesting to specialists who are engaged to study the mantle mineralogy and Earth’s interior.

AB - Modified equations of state (EoS) of forsterite, wadsleyite, ringwoodite, akimotoite, bridgmanite and post-perovskite based on the Helmholtz free energy are described using Microsoft Excel spreadsheets. The equations of state were set up by joint analysis of reference experimental data and can be used to calculate thermodynamic and thermoelastic parameters and P–V–T properties of the Mg-silicates. We used Visual Basic for Applications module in Microsoft Excel and presented a simultaneous calculation of full set of thermodynamic and thermoelastic functions using only T–P and T–V data as input parameters. Phase transitions in the MgSiO3–MgO system play an important role in the interpretation of the seismic boundaries of the upper Earth’s mantle and in the D″ layer. Therefore, proposed EoSes of silicates in the MgSiO3–MgO system have clear geophysical implications. The developed software will be interesting to specialists who are engaged to study the mantle mineralogy and Earth’s interior.

KW - Equation of state

KW - excel spreadsheets

KW - Helmholtz free energy

KW - mantle

KW - silicates

KW - HIGH-PRESSURE

KW - ELASTIC PROPERTIES

KW - THERMAL-EXPANSION

KW - SINGLE-CRYSTAL FORSTERITE

KW - X-RAY-DIFFRACTION

KW - GRUNEISEN-PARAMETER

KW - SEISMIC STRUCTURE

KW - EQUATION-OF-STATE

KW - TEMPERATURE HEAT-CAPACITIES

KW - POST-PEROVSKITE PHASE

UR - http://www.scopus.com/inward/record.url?scp=85046444443&partnerID=8YFLogxK

U2 - 10.1080/08957959.2018.1465056

DO - 10.1080/08957959.2018.1465056

M3 - Article

AN - SCOPUS:85046444443

VL - 38

SP - 193

EP - 211

JO - High Pressure Research

JF - High Pressure Research

SN - 0895-7959

IS - 3

ER -

ID: 13072432