Thermal Hysteresis in Melting–Solidification of Nanoparticles
The aim of this paper is the development of a qualitative understanding of thermal hysteresis, namely the difference between the melting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi&g...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/6/3809 |
| _version_ | 1797613670090407936 |
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| author | Victor M. Burlakov |
| author_facet | Victor M. Burlakov |
| author_sort | Victor M. Burlakov |
| collection | DOAJ |
| description | The aim of this paper is the development of a qualitative understanding of thermal hysteresis, namely the difference between the melting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula> and solidification <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mi>s</mi></msub></mrow></semantics></math></inline-formula> temperatures of nanoparticles as a function of the particle size. In contrast to the melting temperature, the determination of the absolute value of the solidification temperature for nanoparticles is generally more difficult and subjected to significant uncertainties. In this study, we implemented a very generic approach based on classical nucleation theory and define the thermal hysteresis for a nanoparticle relative to its value for a much larger ‘reference’ particle made of the same material. The obtained thermal hysteresis is found to vanish when decreasing the nanoparticle size. The approach is illustrated using the examples of gold, bismuth, and platinum nanoparticles. |
| first_indexed | 2024-03-11T06:59:06Z |
| format | Article |
| id | doaj.art-f8b7adc821f84edda809daf6871e07a4 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T06:59:06Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-f8b7adc821f84edda809daf6871e07a42023-11-17T09:27:10ZengMDPI AGApplied Sciences2076-34172023-03-01136380910.3390/app13063809Thermal Hysteresis in Melting–Solidification of NanoparticlesVictor M. Burlakov0Linacre College, University of Oxford, St. Cross Road, Oxford OX1 3JA, UKThe aim of this paper is the development of a qualitative understanding of thermal hysteresis, namely the difference between the melting <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mi>m</mi></msub></mrow></semantics></math></inline-formula> and solidification <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mi>s</mi></msub></mrow></semantics></math></inline-formula> temperatures of nanoparticles as a function of the particle size. In contrast to the melting temperature, the determination of the absolute value of the solidification temperature for nanoparticles is generally more difficult and subjected to significant uncertainties. In this study, we implemented a very generic approach based on classical nucleation theory and define the thermal hysteresis for a nanoparticle relative to its value for a much larger ‘reference’ particle made of the same material. The obtained thermal hysteresis is found to vanish when decreasing the nanoparticle size. The approach is illustrated using the examples of gold, bismuth, and platinum nanoparticles.https://www.mdpi.com/2076-3417/13/6/3809nanoparticlesmelting temperatureovercoolingthermal hysteresis |
| spellingShingle | Victor M. Burlakov Thermal Hysteresis in Melting–Solidification of Nanoparticles Applied Sciences nanoparticles melting temperature overcooling thermal hysteresis |
| title | Thermal Hysteresis in Melting–Solidification of Nanoparticles |
| title_full | Thermal Hysteresis in Melting–Solidification of Nanoparticles |
| title_fullStr | Thermal Hysteresis in Melting–Solidification of Nanoparticles |
| title_full_unstemmed | Thermal Hysteresis in Melting–Solidification of Nanoparticles |
| title_short | Thermal Hysteresis in Melting–Solidification of Nanoparticles |
| title_sort | thermal hysteresis in melting solidification of nanoparticles |
| topic | nanoparticles melting temperature overcooling thermal hysteresis |
| url | https://www.mdpi.com/2076-3417/13/6/3809 |
| work_keys_str_mv | AT victormburlakov thermalhysteresisinmeltingsolidificationofnanoparticles |