Hosoya entropy analysis of some fullerene structures
Abstract This study examines the structural complexity of fullerene graphs using Hosoya entropy as a measure. The entropy values were calculated for various fullerene structures, including $$F^s_{3,1},$$ F 3 , 1 s , $$F^s_{4,2}$$ F 4 , 2 s and fullerenes ranging from C20 to C100.The relationship bet...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2025-07-01
|
| Series: | Discover Nano |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s11671-025-04255-1 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849334277995495424 |
|---|---|
| author | Ali N. A. Koam Muhammad Faisal Nadeem Ali Ahmad Abdullah Ali H. Ahmadini Bahreselam Sielu Abraha Ibtisam Masmali |
| author_facet | Ali N. A. Koam Muhammad Faisal Nadeem Ali Ahmad Abdullah Ali H. Ahmadini Bahreselam Sielu Abraha Ibtisam Masmali |
| author_sort | Ali N. A. Koam |
| collection | DOAJ |
| description | Abstract This study examines the structural complexity of fullerene graphs using Hosoya entropy as a measure. The entropy values were calculated for various fullerene structures, including $$F^s_{3,1},$$ F 3 , 1 s , $$F^s_{4,2}$$ F 4 , 2 s and fullerenes ranging from C20 to C100.The relationship between the size of the fullerenes and the entropy is intuitively clear: the larger the fullerenes, the higher the value of entropy because of increased structural complexity and diversity of equivalence classes. Smaller fullerenes, like C20, have lower entropy, a consequence of their simpler and more symmetrical molecular structure. These findings provide theoretical insights into structural intricacies of fullerenes and their possible applications in material science and nanotechnology. |
| format | Article |
| id | doaj-art-e3285df631a84eb68b6cb5b2647a2b61 |
| institution | Kabale University |
| issn | 2731-9229 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Nano |
| spelling | doaj-art-e3285df631a84eb68b6cb5b2647a2b612025-08-20T03:45:36ZengSpringerDiscover Nano2731-92292025-07-0120112410.1186/s11671-025-04255-1Hosoya entropy analysis of some fullerene structuresAli N. A. Koam0Muhammad Faisal Nadeem1Ali Ahmad2Abdullah Ali H. Ahmadini3Bahreselam Sielu Abraha4Ibtisam Masmali5Department of Mathematics, College of Science, Jazan UniversityDepartment of Mathematics, COMSATS University Islamabad, Lahore CampusDepartment of Computer Science, College of Engineering and Computer Science, Jazan UniversityDepartment of Mathematics, College of Science, Jazan UniversityMainefhi College of Engineering and TechnologyDepartment of Mathematics, College of Science, Jazan UniversityAbstract This study examines the structural complexity of fullerene graphs using Hosoya entropy as a measure. The entropy values were calculated for various fullerene structures, including $$F^s_{3,1},$$ F 3 , 1 s , $$F^s_{4,2}$$ F 4 , 2 s and fullerenes ranging from C20 to C100.The relationship between the size of the fullerenes and the entropy is intuitively clear: the larger the fullerenes, the higher the value of entropy because of increased structural complexity and diversity of equivalence classes. Smaller fullerenes, like C20, have lower entropy, a consequence of their simpler and more symmetrical molecular structure. These findings provide theoretical insights into structural intricacies of fullerenes and their possible applications in material science and nanotechnology.https://doi.org/10.1186/s11671-025-04255-1Carbon allotropesFullerene stabilityFullerene structuresHosoya entropyMolecular complexityNanotechnology |
| spellingShingle | Ali N. A. Koam Muhammad Faisal Nadeem Ali Ahmad Abdullah Ali H. Ahmadini Bahreselam Sielu Abraha Ibtisam Masmali Hosoya entropy analysis of some fullerene structures Discover Nano Carbon allotropes Fullerene stability Fullerene structures Hosoya entropy Molecular complexity Nanotechnology |
| title | Hosoya entropy analysis of some fullerene structures |
| title_full | Hosoya entropy analysis of some fullerene structures |
| title_fullStr | Hosoya entropy analysis of some fullerene structures |
| title_full_unstemmed | Hosoya entropy analysis of some fullerene structures |
| title_short | Hosoya entropy analysis of some fullerene structures |
| title_sort | hosoya entropy analysis of some fullerene structures |
| topic | Carbon allotropes Fullerene stability Fullerene structures Hosoya entropy Molecular complexity Nanotechnology |
| url | https://doi.org/10.1186/s11671-025-04255-1 |
| work_keys_str_mv | AT alinakoam hosoyaentropyanalysisofsomefullerenestructures AT muhammadfaisalnadeem hosoyaentropyanalysisofsomefullerenestructures AT aliahmad hosoyaentropyanalysisofsomefullerenestructures AT abdullahalihahmadini hosoyaentropyanalysisofsomefullerenestructures AT bahreselamsieluabraha hosoyaentropyanalysisofsomefullerenestructures AT ibtisammasmali hosoyaentropyanalysisofsomefullerenestructures |