Formation of Intermetallic Phases in Ion Implantation
This paper presents a model for the formation of intermetallic phases in the modified nickel ions in the surface layer of aluminum. It is shown that the absorption of ions in the bulk of the qualitative difference between the models with and without the relaxation of the mass flux is reduced to a di...
Main Authors: | , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2020-01-01
|
Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2020/8875976 |
id |
doaj-9d0c1075a81242f6b75bd481bd36009c |
---|---|
record_format |
Article |
spelling |
doaj-9d0c1075a81242f6b75bd481bd36009c2020-11-25T04:11:44ZengHindawi LimitedJournal of Mathematics2314-47852020-01-01202010.1155/2020/88759768875976Formation of Intermetallic Phases in Ion ImplantationFuzhang Wang0Asfandyar Khan1Muhammad Ayaz2Imtiaz Ahmad3Rashid Nawaz4Nisar Gul5School of Mathematical and StatisticsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis paper presents a model for the formation of intermetallic phases in the modified nickel ions in the surface layer of aluminum. It is shown that the absorption of ions in the bulk of the qualitative difference between the models with and without the relaxation of the mass flux is reduced to a difference in the characteristic scales. It was shown that the concentration distribution depends on the relation between time scales of various physical processes. We have extended the existing model to a unique simple model describing the formation of a new phase at the initial stage of ion implantation. The parameters containing in the model were evaluated using literature data. The known problem is a special case for our model.http://dx.doi.org/10.1155/2020/8875976 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Fuzhang Wang Asfandyar Khan Muhammad Ayaz Imtiaz Ahmad Rashid Nawaz Nisar Gul |
spellingShingle |
Fuzhang Wang Asfandyar Khan Muhammad Ayaz Imtiaz Ahmad Rashid Nawaz Nisar Gul Formation of Intermetallic Phases in Ion Implantation Journal of Mathematics |
author_facet |
Fuzhang Wang Asfandyar Khan Muhammad Ayaz Imtiaz Ahmad Rashid Nawaz Nisar Gul |
author_sort |
Fuzhang Wang |
title |
Formation of Intermetallic Phases in Ion Implantation |
title_short |
Formation of Intermetallic Phases in Ion Implantation |
title_full |
Formation of Intermetallic Phases in Ion Implantation |
title_fullStr |
Formation of Intermetallic Phases in Ion Implantation |
title_full_unstemmed |
Formation of Intermetallic Phases in Ion Implantation |
title_sort |
formation of intermetallic phases in ion implantation |
publisher |
Hindawi Limited |
series |
Journal of Mathematics |
issn |
2314-4785 |
publishDate |
2020-01-01 |
description |
This paper presents a model for the formation of intermetallic phases in the modified nickel ions in the surface layer of aluminum. It is shown that the absorption of ions in the bulk of the qualitative difference between the models with and without the relaxation of the mass flux is reduced to a difference in the characteristic scales. It was shown that the concentration distribution depends on the relation between time scales of various physical processes. We have extended the existing model to a unique simple model describing the formation of a new phase at the initial stage of ion implantation. The parameters containing in the model were evaluated using literature data. The known problem is a special case for our model. |
url |
http://dx.doi.org/10.1155/2020/8875976 |
work_keys_str_mv |
AT fuzhangwang formationofintermetallicphasesinionimplantation AT asfandyarkhan formationofintermetallicphasesinionimplantation AT muhammadayaz formationofintermetallicphasesinionimplantation AT imtiazahmad formationofintermetallicphasesinionimplantation AT rashidnawaz formationofintermetallicphasesinionimplantation AT nisargul formationofintermetallicphasesinionimplantation |
_version_ |
1715033976615206912 |