{"title":"Baric exothermic fragmentation of crystals","authors":"Mahach N. Magomedov","doi":"10.1016/j.vacuum.2024.113814","DOIUrl":null,"url":null,"abstract":"<div><div>Currently, an extensive study of the properties of matter at high pressures is underway. However, little attention is paid to the baric fragmentation of the crystal. Our work is devoted to the study of the nature of this effect. Based on the analytical method (i.e. without computer simulation), the change in the specific (per unit area) surface energy (σ) of the crystal from the normalized volume (<em>v</em>/<em>v</em><sub>o</sub>) along various isotherms was studied. It is shown that there is a maximum on the isotherm σ(<em>v</em>/<em>v</em><sub>o</sub>), with (<em>v</em>/<em>v</em><sub>o</sub>)<sub>max</sub> < 1. With an isothermal deviation (at decreasing or increasing) of the <em>v</em>/<em>v</em><sub>o</sub> value from the (<em>v</em>/<em>v</em><sub>o</sub>)<sub>max</sub>, the σ(<em>v</em>/<em>v</em><sub>o</sub>) function decreases, passing at certain values, (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frS</em></sub> < (<em>v</em>/<em>v</em><sub>o</sub>)<sub>max</sub> < 1 or (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frL</em></sub> > 1, to the negative values. This behavior of the σ(<em>v</em>/<em>v</em><sub>o</sub>) function at <em>v</em>/<em>v</em><sub>o</sub> < (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frS</em></sub> or <em>v</em>/<em>v</em><sub>o</sub> > (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frL</em></sub> should cause spontaneous fragmentation of the crystal, in which the crystal will strive in any way to increase its specific (per atom) surface: either free (when stretched), or intercrystalline (when compressed). It is indicated that the crystal under all-round stretching passes into the liquid or gas phase without reaching the (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frL</em></sub> value. However, a negative value of the surface energy can be achieved with all-round compression of the crystal. It is shown that the negative value of the σ(<em>v</em>/<em>v</em><sub>o</sub>) function should stimulate both fragmentation of the crystal structure and heating of the fragmenting medium (exothermic effect) and the appearance of additional pressure in this medium due to the appearance of the inner surface. Calculations of (<em>v</em>/<em>v</em><sub>o</sub>)<sub>max</sub> and (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frS</em></sub> values for Ne, Li and Au crystals at different temperatures have been performed. Based on the experimental data, the pressures are indicated, which correspond to the calculated (<em>v</em>/<em>v</em><sub>o</sub>)<sub><em>frS</em></sub> values. It was shown that these static pressures are quite achievable in modern experiments.</div></div>","PeriodicalId":23559,"journal":{"name":"Vacuum","volume":"231 ","pages":"Article 113814"},"PeriodicalIF":3.8000,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vacuum","FirstCategoryId":"88","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0042207X24008601","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Currently, an extensive study of the properties of matter at high pressures is underway. However, little attention is paid to the baric fragmentation of the crystal. Our work is devoted to the study of the nature of this effect. Based on the analytical method (i.e. without computer simulation), the change in the specific (per unit area) surface energy (σ) of the crystal from the normalized volume (v/vo) along various isotherms was studied. It is shown that there is a maximum on the isotherm σ(v/vo), with (v/vo)max < 1. With an isothermal deviation (at decreasing or increasing) of the v/vo value from the (v/vo)max, the σ(v/vo) function decreases, passing at certain values, (v/vo)frS < (v/vo)max < 1 or (v/vo)frL > 1, to the negative values. This behavior of the σ(v/vo) function at v/vo < (v/vo)frS or v/vo > (v/vo)frL should cause spontaneous fragmentation of the crystal, in which the crystal will strive in any way to increase its specific (per atom) surface: either free (when stretched), or intercrystalline (when compressed). It is indicated that the crystal under all-round stretching passes into the liquid or gas phase without reaching the (v/vo)frL value. However, a negative value of the surface energy can be achieved with all-round compression of the crystal. It is shown that the negative value of the σ(v/vo) function should stimulate both fragmentation of the crystal structure and heating of the fragmenting medium (exothermic effect) and the appearance of additional pressure in this medium due to the appearance of the inner surface. Calculations of (v/vo)max and (v/vo)frS values for Ne, Li and Au crystals at different temperatures have been performed. Based on the experimental data, the pressures are indicated, which correspond to the calculated (v/vo)frS values. It was shown that these static pressures are quite achievable in modern experiments.
期刊介绍:
Vacuum is an international rapid publications journal with a focus on short communication. All papers are peer-reviewed, with the review process for short communication geared towards very fast turnaround times. The journal also published full research papers, thematic issues and selected papers from leading conferences.
A report in Vacuum should represent a major advance in an area that involves a controlled environment at pressures of one atmosphere or below.
The scope of the journal includes:
1. Vacuum; original developments in vacuum pumping and instrumentation, vacuum measurement, vacuum gas dynamics, gas-surface interactions, surface treatment for UHV applications and low outgassing, vacuum melting, sintering, and vacuum metrology. Technology and solutions for large-scale facilities (e.g., particle accelerators and fusion devices). New instrumentation ( e.g., detectors and electron microscopes).
2. Plasma science; advances in PVD, CVD, plasma-assisted CVD, ion sources, deposition processes and analysis.
3. Surface science; surface engineering, surface chemistry, surface analysis, crystal growth, ion-surface interactions and etching, nanometer-scale processing, surface modification.
4. Materials science; novel functional or structural materials. Metals, ceramics, and polymers. Experiments, simulations, and modelling for understanding structure-property relationships. Thin films and coatings. Nanostructures and ion implantation.