In a \((\vec d,\vec n)\) reaction, the polarization transfer coefficient K y y′ measures the fraction of vector polarization of the incident deuteron transferred to the outgoing neutron. For the D\((\vec d,\vec n)\) 3He reaction at θ = 0°, it is known that this parameter remains at nearly 90% of a simple stripping model value of 2/3 over the energy range extending from 4 to 15 MeV1,2). In order to investigate the systematics of the same polarization transfer coefficient for heavier nuclei, we have made similar measurements for targets of 12C, 14N, 160, and 28Si. In this paper we report our results for the reactions \(^{16}0{(\vec d,{\vec n_0} + {\vec n_1})^{17}}F,{^{28}}Si{(\vec d,{\vec n_o})^{29}}p,an{d^{14}}N{(\vec d,\vec n)^{15}}0\) (leading to states around 5 MeV in excitation of 150.) In each of these reactions, it is believed that the dominant contribution to the measured neutron groups is lp = 0.