A dental archwire is provided having a pre-set shape including an elongate, curved length approximating the shape of a dental arch and a rectangular cross-section having a first dimension of 0.013-0.021 inch and a second dimension of 0.018-0.026 inch or a circular cross-section of diameter 0.013 through 0.026 inch over at least a portion of the elongate, curved length. The dental archwire in the pre-set shape comprises a hyperelastic, single crystal shape memory alloy that is free of elemental precipitates and is capable of exhibiting greater than a 10 percent strain recovery, a constant force deflection, negligible stress hysteresis, and a binding force to an orthodontic bracket equal or less than 4 N.