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Table 1.

Best-fit parameters of the MER spectral shape (Eq. (5)) estimated here.

GLE number Date J0 [cm−2] σJ+ σJ γ R0 [GV]
05 23/02/1956 1.06E+8 3.13E+7 2.98E+7 4.29 0.50 0.52 5.12 4.33 1.64
08 04/05/1960 9.34E+5 6.42E+4 2.15E+5 −0.82 1.35 0.00 0.56 0.20 0.00
10 12/11/1960 3.03E+7 4.58E+6 3.75E+6 0.35 0.51 0.79 0.50 0.04 0.06
11 15/11/1960 1.95E+7 4.10E+6 4.54E+6 3.89 1.36 0.90 1.01 1.23 0.26
12 20/11/1960 3.65E+5 7.07E+5 6.11E+4 5.75 0.52 3.26
13 18/07/1961 2.08E+6 2.20E+7 8.51E+5 4.76 2.20 5.64 1.38 1.12
16 28/01/1967 2.28E+6 2.28E+5 2.55E+5 5.05 0.17 0.71 5.30 1.70 3.00
18 29/09/1968
19 18/11/1968 1.23E+5 5.19E+6 4.29E+4 5.69 1.36 8.38
20 25/02/1969 2.12E+5 4.10E+5 6.06E+4 2.15 1.79 2.94 0.97 1.56 0.58
21 30/03/1969 1.01E+6 1.01E+5 1.36E+5 2.93 0.55 0.46 1.58 0.46 0.25
22 24/01/1971 6.17E+5 4.32E+5 5.83E+4 4.47 0.54 1.86 2.05 1.09 1.31
23 01/09/1971 9.11E+6 1.40E+7 6.83E+6 2.98 4.07 2.49 0.52 0.21
24 04/08/1972 6.22E+6 1.85E+7 3.68E+6 12.80 3.31 2.15
25 07/08/1972 2.67E+5 1.63E+5 6.06E+4 5.11 0.28 1.72
26 29/04/1973 5.61E+4 1.37E+5 2.62E+4 2.31 2.04 3.42 1.52 1.10
27 30/04/1976 1.00E+5 2.53E+7 4.86E+4 5.83 2.38 9.95
28 19/09/1977 2.89E+5 6.99E+5 2.02E+5 8.79 3.27 3.30
29 24/09/1977 2.41E+5 2.56E+5 5.73E+4 4.77 0.38 2.57
30 22/11/1977 5.98E+5 1.57E+5 7.83E+4 4.22 0.60 1.02 4.24 9.60 2.72
31 07/05/1978 6.26E+4 1.37E+4 8.44E+3 1.45 0.70 0.70 1.83 1.25 0.51
32 23/09/1978 3.12E+5 8.89E+4 6.61E+4 4.88 0.28 0.91
33 21/08/1970
35 10/05/1981
36 12/10/1981 5.78E+5 1.11E+5 1.11E+5 3.34 0.78 0.85 2.73 10.02 1.23
37 26/11/1982 6.17E+4 2.95E+4 8.66E+3 2.88 0.89 1.80 3.13 11.31 2.21
38 08/12/1982 8.57E+5 2.23E+5 2.03E+5 2.34 1.40 1.38 1.02 1.25 0.35
39 16/02/1984 2.10E+5 1.22E+5 9.35E+4 1.38 1.98 1.95 0.87 2.30 0.37
40 25/07/1989 5.59E+4 1.03E+6 3.00E+4 5.55 2.57 7.75
41 16/08/1989 2.03E+6 7.51E+5 4.30E+5 2.35 0.46 1.35 0.70 0.13 0.20
42 29/09/1989 1.16E+7 1.16E+6 1.40E+6 3.54 0.18 0.21 6.64 2.09 1.39
43 19/10/1989 6.97E+6 9.34E+5 1.09E+6 4.72 0.62 0.76 3.88 10.51 1.93
44 22/10/1989 3.02E+6 3.36E+6 7.44E+5 1.57 1.04 2.20 0.55 0.17 0.20
45 24/10/1989 1.22E+7 1.96E+6 1.69E+6 3.08 0.78 0.75 1.18 0.51 0.28
46 15/11/1989 4.37E+4 1.38E+6 1.29E+4 4.36 1.47 6.75
47 21/05/1990 2.87E+5 4.08E+4 4.92E+4 4.06 0.15 0.52
48 24/05/1990 5.92E+5 1.06E+5 6.90E+4 3.77 0.77 0.62 4.49 2.17
49 26/05/1990 3.16E+5 1.05E+5 7.70E+4 3.84 0.83 1.29 3.65 2.40
50 28/05/1990 1.47E+5 4.74E+5 4.23E+4 2.90 2.31 4.48 1.44 1.09
51 11/06/1991 1.18E+5 7.15E+4 2.18E+4 3.35 1.12 1.75 3.05 2.15
52 15/06/1991 1.20E+6 1.38E+6 3.59E+5 3.08 1.64 2.45 0.90 1.29 0.45
53 25/06/1992
55 06/11/1997 1.11E+6 3.89E+5 3.11E+5 3.17 1.23 1.51 1.37 2.14 0.63
56 02/05/1998 5.98E+4 1.84E+6 2.32E+4 4.79 2.41 7.10
58 24/08/1998
59 14/07/2000 4.14E+6 4.88E+6 2.04E+6 5.55 1.56 2.57 1.57 1.03
60 15/04/2001 2.79E+6 7.14E+5 4.01E+5 4.03 0.79 0.71 2.14 2.23 0.83
61 18/04/2001 4.94E+5 7.58E+5 1.84E+5 1.82 1.90 2.81 0.96 3.08 0.55
62 04/11/2001 9.14E+6 1.53E+7 8.87E+6 −2.84 9.38 0.68 0.21 0.03
63 26/12/2001
64 24/08/2002 1.45E+5 1.00E+9 8.22E+4 6.69 1.35 12.58
65 28/10/2003 2.38E+6 9.58E+4 6.06E+5 3.87 1.63 0.25 1.62 0.24
66 29/10/2003 2.82E+5 8.72E+5 7.64E+4 5.19 0.76 3.49 10.55 10.03
67 02/11/2003 1.66E+5 6.63E+4 3.03E+4 1.64 1.90 1.36 0.93 1.48 0.32
69 20/01/2005 7.87E+6 1.47E+6 1.11E+6 4.62 0.68 0.74 2.21 2.45 0.79
70 13/12/2006 1.40E+6 4.87E+5 2.57E+5 3.94 0.88 1.23 1.61 2.14 0.71
71 17/05/2012 1.25E+5 1.19E+7 5.30E+4 5.69 1.79 8.98
72 10/09/2017 2.88E+5 2.63E+5 4.95E+4 5.36 0.71 1.57

Notes. Columns are the GLE number and date, parameters J0, γ, and R0 with upper σ+ and lower σ 68% confidence intervals, defined as shown in Fig. 4. R0 = ∞ indicates that the MER shape cannot be distinguished from a pure power-law fit when the data are fit. Events with weak responses, for which the MER spectral shape cannot be obtained, are denoted with dashes.

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