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Fluences of solar energetic particles (SEPs) are not easy to evaluate,especially for high-energy events (i.e. ground-level enhancements, GLEs).Earlier estimates of event-integrated SEP fluences for GLEs were based onpartly outdated assumptions and data, and they required revisions. Here, wepresent the results of a full revision of the spectral fluences for most majorSEP events (GLEs) for the period from 1956 -- 2017 using updated low-energyflux estimates along with greatly revisited high-energy flux data and applyingthe newly invented reconstruction method including an improved neutron-monitoryield function. Low- and high-energy parts of the SEP fluence were estimatedusing a revised space-borne/ionospheric data and ground-based neutron monitors,respectively. The measured data were fitted by the modified Band functionspectral shape. The best-fit parameters and their uncertainties were assessedusing a direct Monte Carlo method. As a result, a full reconstruction of theevent-integrated spectral fluences was performed in the energy range above 30MeV, parametrised, and tabulated for easy use along with estimates of the 68%confidence intervals. This forms a solid basis for more precise studies of thephysics of solar eruptive events and the transport of energetic particles inthe interplanetary medium, as well as the related applications.

New reconstruction of event-integrated spectra (spectral fluences) for major solar energetic particle events