Arslan K.Kocayiğit H.Önder M.2025-04-102025-04-102016http://hdl.handle.net/20.500.14701/48865In this study, by using Laplace and normal Laplace operators, we give some characterizations for the Darboux instantaneous rotation vector field of the curves in the Euclidean 3-space E3. Further, we give necessary and sufficient conditions for unit speed space curves to have 1-type Darboux vectors. Moreover, we obtain some characterizations of helices according to Darboux vector. © 2016 Korean Mathematical Society.Article10.4134/CKMS.2016.31.2.379