Abstract

Prediction and adjustment of point defect (vacancies and self-interstitials) distribution in silicon crystals is of utmost importance for microelectronic applications. The simulation of growth processes is widely applied for process development and quite a few different sets of point defect parameters have been proposed. In this paper the transient temperature, thermal stress and point defect distributions are simulated for 300 mm Czochralski growth of the whole crystal including cone and cylindrical growth phases. Simulations with 12 different published point defect parameter sets are compared to the experimentally measured interstitial–vacancy boundary. The results are evaluated for standard and adjusted parameter sets and generally the best agreement in the whole crystal is found for models considering the effect of thermal stress on the equilibrium point defect concentration.

Highlights

  • The Czochralski (Cz) process is the method of choice for the production of silicon (Si) crystals for microelectronics applications

  • Later simulation of the point defect distribution in the crystal domain was added [2,3,4,9,10]. Transient modeling of both the heat transfer and point defects (PD) distribution is necessary since the Cz process is transient in reality, and the start and end cones are a considerable part of the whole growth process

  • While the pull rate oscillations are much stronger in the experiment during the cone phase, it practically does not influence the heat transfer, as verified by performing a simulation with non-smoothed experimental data as the pull rate setpoint; this holds for the point defect distribution

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Summary

Introduction

The Czochralski (Cz) process is the method of choice for the production of silicon (Si) crystals for microelectronics applications. Later simulation of the point defect distribution in the crystal domain was added [2,3,4,9,10] Transient modeling of both the heat transfer and PD distribution is necessary since the Cz process is transient in reality, and the start and end cones are a considerable part of the whole growth process. 12 different PD parameter sets using the same thermal conditions; (iii) compare simulation results with the experimental PD distribution in the whole crystal, including start and end cones; (iv) adjust PD parameters for 1 position in the crystal and find the parameter sets with the best agreement to experiment

Growth Experiment
Heat Transfer and Phase Boundaries
Governing Equations
Numerical Aspects
Considered Parameter Sets
Thermal Stresses
Overview
Original PD Parameters
Adjusted PD Parameters
Conclusions
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