We have analyzed the energetics of decay of the X − trion (exciton + electron) on the assumption that the exciton and trion are independent excitations of a single two-dimensional semiconducting quantum well. For the first time, it has been shown that in filling a well with electrons from a selective donor-doped matrix, the binding energy of the trion (of the electron with the exciton) increases linearly with a shift of the Fermi level into the depth of the c band. This agrees with the well-known experimental data on the low-temperature radiative decay (photoluminescence) of trions in the heterostructures ZnSe/Zn0.89Mg0.11S0.18Se0.82 and CdTe/Cd0.7Mg0.3Te.Keywords: Quantum well, Trion, Luminescence, Two-dimensional electron gas, Auger recombination, Fermi level.In [1,2], radiative decay of trions (negative ions of excitons [3]) in a single quantum well of width L z = 8 nm in the semiconductor structures ZnSe/Zn 0.89 Mg 0.11 S 0.18 Se 0.82 and CdTe/Cd 0.7 Mg 0.3 Te was investigated at a temperature of 1.6 K by the methods of magnetooptics. Conduction electrons "were supplied" to the quantum well (see Fig. 1) from a chlorine-doped 3 nm-thick δ-layer located in the matrix at a distance of 10 nm from the quantum well [2]. Studies of the reflection and photoluminescence spectra of the quantum wells of ZnSe and CdTe have revealed that the intensity of the trionic line and the binding energy of the trion in the wells with a larger concentration of conduction electrons is higher, whereas that of the exciton is lower, than in the case of wells with a smaller concentration of electrons. The increase in the binding energy of the trion 1 with increase in the concentration of conduction electrons is explained [1,2] by the interaction of exciton and trion excitations of the well (having captured an additional electron, the X exciton is converted into the X − trion, while the trion that lost the electron is converted into the exciton), i.e., by jumps of the electron from the trion onto the exciton. However, quantitative evaluations by the above model were not presented.We will analyze the luminescence of trions and excitons using as an example the quantum well of ZnSe. The forbidden-band width of the considered quantum well at L z = 8 nm with account for dimensional quantization [5] is E g ≈ 2840 meV. According to [2], the rupture of the c band for this structure is V 0 − E 1 ≈ 100 meV, which is larger than the ionization energy of donors (Cl atoms in the Zn 0.89 Mg 0.11 S 0.18 Se 0.82 matrix). In the ZnSe single crystal, the energy of the detachment of an "optical" electron from a chlorine atom is E d ≈ 26 meV [6], so that the twodimensional concentration of the conduction electrons n in the quantum well is equal to that of the completely ionized hydrogen-like donor impurity N +1 in the matrix. * poklonski@bsu.by 1 The calculation of the dependence of the ground state energy of the X − trion (exciton + electron) and of the X + trion (exciton + hole) in a twodimensional quantum well as functions of the ratio between the masses...