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In this paper we study null Bertrand curves in $R_{1}^{4}$ under theassumption the curve has a Cartan frame. We show that if the derivative vectorsof the null Cartan curve in $R_{1}^{4}$ is linearly independent, then thiscurve is not a Bertrand curve. Since then the already known notion of nullBertrand curves in $R_{1}^{4}$ occurs only if the derivative vectors of thecurve is linearly dependent. We will introduce an idea of Bertrand curves andabiding by this idea we bring to light under which conditions a null Cartancurve in $R_{1}^{4}$ is a Bertrand curve.

$(1,2)$-Null Bertrand Curves in Minkowski Spacetime