Validation and application of auxiliary density perturbation theory and non-iterative approximation to coupled-perturbed Kohn-Sham approach for calculation of dipole-quadrupole polarizability

► For the first time two noniterative approaches for dipole-quadrupole polarizability are studied. ► One is auxiliary density pertubation theory (ADPT). ► Other is noniterative approximation to coupled perturbed Kohn-Sham (NIACPKS) method. ► NIACPKS is implanted in framework of SCP for the first time in this Letter. ► Validation of method done with dipole-quadrupole polarizability of P4, CH4, C10H16.