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This data was used as a foundation for the article by A. Dydniański, M. Raczyński, A. Łopion, T. Kazimierczuk, J. Kasprzak, K.E. Połczyńska, W. Pacuski, P. Kossacki. That was published in Solid State Communications.The archive contains the data used for the creation of all figures presented in the publication.Fig. 1. The right-hand half of the figure presents 6 reference photoluminescence spectra measured at T=5K in zero magnetic field, with CW laser with a wavelength of 647nm, and 1uW of excitation power. Each spectrum is saved as a separate CSV file. y-axis in units of photon (counts) and x-axis in units of energy (meV).Fig. 2. The left-hand half of the figure is composed of two subfigures. The upper one presents a shift of the excitonic peak energy - Zeeman shift - in (meV) units vs the applied external magnetic field in units of tesla (T). Two branches (black and red) are the shifts of the respective detection circular polarisation sigma- and sigma+. The lower figure presents the same data of Zeeman shift, but as a function of not the magnetic field, but the Zeeman splitting energy obtained from the Brillouin function fitting. The units of splitting energy are (meV). The lower and upper plots are saved as two CSV files.Fig. 3. The left-hand side of the figure (subfigure (a)) presents two photoluminescence maps - pristine and gold-coated quantum wells. The horizontal axis is Zeeman-shift corrected spectrum energy (corrected to zero magnetic field position), and the vertical axis presents the Zeeman shift of the spectrum lines (occurring under the magnetic field). Both axes are in units of energy (meV). The data points are the photon counts. Both maps are saved as separate ASCII files, with the first row for the x-axis and the first column for the y-axis.The right-hand side of the figure (subfigure(b)) presents the estimated Zeeman shift energies at which the single-triplet transition occurred during the magnetic field scans. Each sample is denoted with the abbreviation - QW (pristine, not sputtered), Ag-silver, Ti - titanium, Cr - chromium, Cr2O3 - chromium oxide, Ni - nickel, Au - gold, depending on the coating on the upper surface of the (Cd,Mn)Te quantum well on which the micro-photoluminescence has been performed. The energies in units of (meV) from subfigure (b) are saved in another file, as an ASCII table.