An analytical expression for a single-pulse nuclear echo signal in magnetically ordered materials has been obtained taking into account inhomogeneous broadening of the spectroscopic transition and non-uniform distribution of the enhancement factor. The signal has been shown to result from superimposing the nuclear magnetic moment oscillations of the same amplitude and phase that arise upon termination of a radio-frequency pulse. The cause for the effective suppression of oscillations of nuclear magnetic moments in the initial phase of the free precession signal has been determined analytically. The single-pulse echo signal amplitude has been found as a function of the external variable magnetic field strength, the exciting pulse duration, the inhomogeneous NMR line broadening, and the distribution width of the enhancement factor. The results have been compared with experimental data observed in a Co 2 MnSi ferromagnetic polycrystalline sample.Keywords: nuclear magnetic resonance, single-pulse ferromagnetic echo signal, Co2MnSi-like ferromagnetic polycrystalline substances, inhomogeneous broadening of spectroscopic transition, inhomogeneous distribution of enhancement factor.Introduction. Inhomogeneous broadening of spectroscopic transitions plays a decisive role in formulating the responses of a quantum system to a pulsed radio-frequency (RF) exciting field in non-steady-state magnetic spectroscopy [1]. The principal sources of inhomogeneous broadening are heterogeneities in the external controlling constant magnetic field, dipole-dipole couplings between spins of different nature, etc.[1]. Besides these sources, static scattering of internal stresses in addition to the presence of point or extended defects leading to inhomogeneous distribution of electric fields within the bulk sample must be considered in the solid state [1]. Therefore, phase inversion of magnetic spin system oscillations in an actual substance can occur through several inhomogeneous broadening mechanisms.Coherent NMR responses in magnetically ordered media are formed not only by inhomogeneous broadening of a spectroscopic transition but also by enhancement of the RF field on nuclei that occurs due to hyperfine coupling between electronic and nuclear subsystems [2,3]. The RF field enhancement factor in nuclei within domains and at their boundaries differs greatly in magnitude because of the presence of the domain structure in ferromagnetics [2, 3]. As a result, magnetic moments of nuclei will have different oscillation frequencies during the action of the variable magnetic field pulse [4]. The superposition of such magnetic moment oscillations generates a ferromagnetic singlepulse echo signal (FSE) in magnetically ordered media after the RF pulse field is switched off [5,6]. Although the theoretical treatment of this effect has been well studied [7][8][9], the role of the inhomogeneous distribution of the enhancement factor in formation of the FSE signal remains unclear. The proposed mechanism [10] of formation of a single-pulse echo in spin sy...