| CPC C30B 23/08 (2013.01) [C30B 23/025 (2013.01); C30B 25/20 (2013.01); C30B 29/403 (2013.01); C30B 23/06 (2013.01)] | 28 Claims |

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1. An AlN single crystal having a diameter that increases, along at least a portion of a length of the AlN single crystal, from a minimum diameter, ranging from 50 mm to 100 mm, to a maximum diameter, the AlN single crystal having a crystal augmentation parameter (CAP), in mm, greater than 20, the CAP being defined by:
![]() wherein AE, in mm2, is the cross-sectional area of the AlN single crystal at the maximum diameter, dE is the maximum diameter of the AlN single crystal in mm, AS, in mm2, is the cross-sectional area of the AlN single crystal at the minimum diameter, dS is the minimum diameter in mm, and LE is an expansion length, in mm, of the at least a portion of the AlN single crystal along which the diameter increases from the minimum diameter to the maximum diameter.
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