“…In gradual or long-duration SEP events, particles are accelerated at shock waves driven out from the Sun by fast, wide CMEs (Kahler et al 1984). These shock waves accelerate SEPs (Lee, 1983(Lee, , 2005Zank, Rice, and Wu, 2000;Cliver, Kahler, and Reames, 2004;Ng and Reames, 2008;Gopalswamy et al 2012;Lee, Mewaldt, and Giacalone, 2012;Desai and Giacalone, 2016;Reames, 2017a), requiring shock speeds above 500 -700 km s -1 (Reames, Kahler, and Ng, 1997), and accelerating ions over an extremely broad region of the heliosphere (Reames, Barbier, and Ng, 1996;Rouillard et al, 2012;Cohen, Mason, Mewaldt, 2017;Reames, 2017b). Generally, the shock waves sample the 1 -2 MK coronal plasma (Reames, 2016a(Reames, , 2016b(Reames, , 2018b.…”