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Mathematical modelling of the SSD‐process
Author(s) -
Weinert B.,
Buhrig E.,
Hein K.
Publication year - 1985
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.2170200809
Subject(s) - crystallization , process (computing) , yield (engineering) , sequence (biology) , thermal , work (physics) , crystal (programming language) , materials science , thermodynamics , computer science , mathematics , process engineering , physics , chemistry , engineering , biochemistry , operating system , programming language
In order to achieve a better agreement between the calculated and experimental results of crystal production by the SSD‐process, it was essential to extend the application of the modell presented earlier (Weinert et al.). The thermal and geometrical conditions, which vary strongly during the course of the process and influence the GaP crystallisation, have never been taken into consideration. It has been attempted, in the present work, to consider these changes by dividing the total time of crystallisation into so small durations (Δ t ), that the evaluation model presented earlier for instant times can be successfully applied. The results of crystallisation for the total period can then be obtained through a mathematical analysis named as sequence correction of process parameters. It has been shown that an exact knowledge of the temperature distribution in the furnace will yield results which are in very good agreement with the experimental values. Moreover, the changes in the process parameters during the whole time of crystallisation have been represented graphically. — Application of this model to other systems, for example to GaAs, is also possible.