“…1. Introduction: Sapphire (α-Al 2 O 3 ) is a kind of material that combines mechanical properties, optical properties, thermal properties, dielectric properties, physical properties and chemical properties [1][2][3][4][5]. As a result, a large number of sapphires are used in many fields such as industrial, communications, defence, as infrared window, semiconductor chip, fingerprint recognition and other materials [6].…”