“…Nowadays, diameter control has been developed for a variety of dierent materials and system congurations, where many complex problems have been identied such as materials with hard to control conditions that resulted either in high dislocation densities or large growth and shape variations, as well as the challenges in scale up of the process for larger crystal sizes [8,11,1722]. Other (181) examples are the use of a liquid encapsulant [23,24] introducing time delays into the process [25,26] or more sophisticated variants of the Cz process, like the vapor pressure controlled Czochralski (VCz) method [27] which intentionally leads to reduced axial and radial temperature gradients making diameter control even more dicult [28,29]. More recently, the focus of control design has been extended to maintain additional degrees of freedom which aect crystal quality as well as crystal shape during the neck, shoulder and tail sections in addition to the main body [30,31].…”