Data in Figure 1e and Figure 4a: Linear simulations of scattering and absorption cross-section for Si(+) and Si(-) nanohelices, oriented in x-,y- or z-direction and excited with left or right circular polarizations (LCP or RCP, respectively) are saved in files: -Abs_Si_3turns_mesh2_negative -Abs_Si_3turns_mesh2_positive -Sc_Si_3turns_mesh2_negative -Sc_Si_3turns_mesh2_positive Abs (Sc) denotes absorption (scattering) spectra. Positive (negative) denotes Si(+) (Si(-)) nanohelices. Each file is a matrix of 6x100 elements, where 100 points correspond to 100 wavelengths between 200 and 1000 nm. Lines are organized as follows: - Line 1: x-oriented nanohelix, LCP excitation - Line 2: x-oriented nanohelix, RCP excitation - Line 3: y-oriented nanohelix, LCP excitation - Line 4: y-oriented nanohelix, RCP excitation - Line 5: z-oriented nanohelix, LCP excitation - Line 6: z-oriented nanohelix, RCP excitation Additional file lambda_200_1000 contains the wavelength points. Total extinction spectra for two polarization is obtained by averaging the data for a random orientation. CD and g factors are extracted from these extinction spectra defined in the formulas in the manuscript. Data in Figure 4b: Four-dimensional complex electromagnetic field extraction from Lumerical and imported into MENP solver in MATLAB. There are six matrices that represent x, y, and z-oriented nanohelices for LCP and RCP excitation in a broadband wavelength range. Titles of the files contain information on the nanohelix orientation, while p90 (m90) stands for RCP (LCP) excitation. Data in Figure 4c: 151x151x151 matrices of the absorption density were recorded for Si(+) sample excited at 730 nm with LCP or RCP; to be plotted in MATLAB by using sliceplot and hot colormap. Linear factor g_a_b_s is then calculated as defined in the equation of the manuscript. Data in Figure 4d: for second harmonic simulations, electric field components and the intensity are recorded in xy and xz cross-sections, under 730 nm excitation of the z-oriented nanohelix, for LCP and RCP excitation. Files are named as follows: E2 xz 365nm zor p90 data contains electric field intensity (E2) in the xz cross section, at 365 nm, for z-oriented nanohelix, excited with RCP (p90) at 730nm. Ez xy 365nm zor m90 data contains real component of Ez in the xy cross section, at 365 nm, for z-oriented nanohelix, excited with LCP (m90) at 730nm. Nonlinear g factor g_NL is then calculated from the normalized difference of the electric field intensity distributions in the xy and xz planes.