### Abstract

Relevance of the work is determined by the necessity of studying the thermal behavior of Poisson ratios ν<hkl> in potassium halogenides KX (X=F, Cl, Br, I). The detailed research will allow filling the void in the scientific knowledge concerning the given objects. The aim of the research is to obtain the Poisson ratios of KCl, KBr, KI mono- and polycrystals for temperature region of their existence and those of KF under T≤300 K; to identify the regularities between anisotropic Poisson ratios ν_{<hkl>}, shear moduli G_{<hkl>} and Young moduli E_{<hkl>} for potassium halogenides KX (X=F,Cl,Br,I). Methods of research. Based on the known experimental values of stiffness constants c_{ij} the authors have determined the anisotropic and isotropic (for polycrystals) Poisson ratios of potassium halogenides KF, KCl, KBr, KI. Results. The Poisson ratios for mono- and polycrystals of KCl, KBr, KI were found for temperature region of their existence and for KF under T≤300 K. On the example of potassium halogenides the authors proved the inequations between the anisotropic Poisson ratios ν_{<110,11-0>} >ν_{<111>} > ν_{<100>} > ν_{<110,001>}, shear moduli G_{<100>} < G_{<110>}<G_{<111>} and Young moduli E_{<100>}>E_{<110>}>E_{<111>} previously stated for lithium and sodium halogenides (up to the temperature points of elastic isotropy). It was established that with the temperature growth two anisotropic Poisson ratios (ν_{<110,11-0>}, ν_{<111>}) in potassium halogenides decrease, two other (ν_{<100>}, ν_{<110,001>}) increase, the average one (ν) demonstrates weak temperature dependence (insignificant growth). It was established that all anisotropic shear G_{<hkl>} and Young E_{<hkl>} moduli in KX crystals decrease as crystal temperature growth.

Original language | English |
---|---|

Pages (from-to) | 99-104 |

Number of pages | 6 |

Journal | Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering |

Volume | 326 |

Issue number | 3 |

Publication status | Published - 1 Jan 2015 |

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### Keywords

- Anisotropy
- Crystal
- Elastic properties
- Poisson's ratio
- Potassium halides

### ASJC Scopus subject areas

- Economic Geology
- Geotechnical Engineering and Engineering Geology
- Fuel Technology
- Management, Monitoring, Policy and Law
- Waste Management and Disposal
- Materials Science (miscellaneous)

### Cite this

*Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering*,

*326*(3), 99-104.

**Poisson ratios of alkali-haloid crystals. P. III. potassium halogenide.** / Belomestnykh, Vladimir N.; Soboleva, Elvira G.

Research output: Contribution to journal › Article

*Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering*, vol. 326, no. 3, pp. 99-104.

}

TY - JOUR

T1 - Poisson ratios of alkali-haloid crystals. P. III. potassium halogenide

AU - Belomestnykh, Vladimir N.

AU - Soboleva, Elvira G.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Relevance of the work is determined by the necessity of studying the thermal behavior of Poisson ratios ν in potassium halogenides KX (X=F, Cl, Br, I). The detailed research will allow filling the void in the scientific knowledge concerning the given objects. The aim of the research is to obtain the Poisson ratios of KCl, KBr, KI mono- and polycrystals for temperature region of their existence and those of KF under T≤300 K; to identify the regularities between anisotropic Poisson ratios ν, shear moduli G and Young moduli E for potassium halogenides KX (X=F,Cl,Br,I). Methods of research. Based on the known experimental values of stiffness constants cij the authors have determined the anisotropic and isotropic (for polycrystals) Poisson ratios of potassium halogenides KF, KCl, KBr, KI. Results. The Poisson ratios for mono- and polycrystals of KCl, KBr, KI were found for temperature region of their existence and for KF under T≤300 K. On the example of potassium halogenides the authors proved the inequations between the anisotropic Poisson ratios ν<110,11-0> >ν<111> > ν<100> > ν<110,001>, shear moduli G<100> < G<110><G<111> and Young moduli E<100>>E<110>>E<111> previously stated for lithium and sodium halogenides (up to the temperature points of elastic isotropy). It was established that with the temperature growth two anisotropic Poisson ratios (ν<110,11-0>, ν<111>) in potassium halogenides decrease, two other (ν<100>, ν<110,001>) increase, the average one (ν) demonstrates weak temperature dependence (insignificant growth). It was established that all anisotropic shear G and Young E moduli in KX crystals decrease as crystal temperature growth.

AB - Relevance of the work is determined by the necessity of studying the thermal behavior of Poisson ratios ν in potassium halogenides KX (X=F, Cl, Br, I). The detailed research will allow filling the void in the scientific knowledge concerning the given objects. The aim of the research is to obtain the Poisson ratios of KCl, KBr, KI mono- and polycrystals for temperature region of their existence and those of KF under T≤300 K; to identify the regularities between anisotropic Poisson ratios ν, shear moduli G and Young moduli E for potassium halogenides KX (X=F,Cl,Br,I). Methods of research. Based on the known experimental values of stiffness constants cij the authors have determined the anisotropic and isotropic (for polycrystals) Poisson ratios of potassium halogenides KF, KCl, KBr, KI. Results. The Poisson ratios for mono- and polycrystals of KCl, KBr, KI were found for temperature region of their existence and for KF under T≤300 K. On the example of potassium halogenides the authors proved the inequations between the anisotropic Poisson ratios ν<110,11-0> >ν<111> > ν<100> > ν<110,001>, shear moduli G<100> < G<110><G<111> and Young moduli E<100>>E<110>>E<111> previously stated for lithium and sodium halogenides (up to the temperature points of elastic isotropy). It was established that with the temperature growth two anisotropic Poisson ratios (ν<110,11-0>, ν<111>) in potassium halogenides decrease, two other (ν<100>, ν<110,001>) increase, the average one (ν) demonstrates weak temperature dependence (insignificant growth). It was established that all anisotropic shear G and Young E moduli in KX crystals decrease as crystal temperature growth.

KW - Anisotropy

KW - Crystal

KW - Elastic properties

KW - Poisson's ratio

KW - Potassium halides

UR - http://www.scopus.com/inward/record.url?scp=85019214672&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019214672&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85019214672

VL - 326

SP - 99

EP - 104

JO - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

JF - Bulletin of the Tomsk Polytechnic University, Geo Assets Engineering

SN - 2500-1019

IS - 3

ER -