Existence, Stability and Instability Conditions of a Static Meniscus Appearing in Dewetted Bridgman Single Crystal Cylindrical Bar Growth From Melt

This study presents necessary conditions for the existence and sufficient conditions for the stability or instability of the static meniscus (liquid bridge) appearing in the cylindrical bar single crystal growth from the melt, of predetermined sizes, by using the dewetted Bridgman growth method. The cases when the wetting angle \(θ_c\) and the growth angle \(α_e\) verify the inequality \(θ_c + α_e < π\) or \(θ_c + α_e > π\) are treated separately. Experimentally, only static meniscus (liquid bridge) which verifies the necessary condition of existence and the sufficient conditions of stability can be created; static meniscus (liquid bridge) which does not verify both of these conditions, can exist only in computation because in reality they collapse during experimental creation. The results of this study is significant for the cylindrical bar single crystal growth from the melt, of predetermined sizes, by using the dewetted Bridgman growth method, using prior given specific equipment. That is because the obtained inequalities represent limits for what can and cannot be achieved experimentally. Numerical illustrations are given for GaSb lasser cylindrical bar, and InSb lasser cylindrical bar cylindrical bar.