Plotting SIS intensities

Energy bands for each of the SIS instrumental ranges are given for all level 2 elements in the table below, and also in tab-delimited text format. The appropriate energy at which to plot the reported intensities depends on the particle spectra. However, the ‘bow-tie’ analysis (e.g., Van Allen et al., JGR 79, 3559, 1974) is a method of characterizing an instrument response by a geometry factor x DE (referred to as <G>) and a representative energy, <E>, which are approximately independent of the spectral index of the incident particle population. This allows one to calculate the particle intensity (for a given energy range) and plot it at an appropriate energy (<E>) without a priori knowledge of the incident spectrum.

Bow-tie analysis of the SIS response results in the values of <G> and <E> as given in the table below for each instrumental range and level 2 element (also given are the geometry factors and energy bands as used in the current level 2 processing). As the reported intensities are not calculated using this method, a normalization factor (A_BT) must be multiplied by the intensities in order to utilize the bow-tie analysis. For example, one would multiply the reported range-0 He intensities by a factor of 1.13 and plot the result at an energy value of 4.32.

More information regarding the bow-tie analysis can be found in this SIS memo. Questions regarding this analysis should be directed to Christina Cohen.

Range	GF (cm^2 sr)	Emin (MeV/n)	Emax (MeV/n)	<G> (cm^2 sr MeV/n)	<E> (MeV/n)	ABT
	Helium
0	42.8	3.43	4.74	49.58 ± 1.67	4.32 ± 0.036	1.131 ± 0.038
1	42.8	4.74	6.13	65.71 ± 2.30	5.62 ± 0.049	0.905 ± 0.032
2	41.2	6.13	7.29	53.90 ± 1.09	7.01 ± 0.035	0.887 ± 0.018
3	41.2	7.29	9.72	108.5 ± 4.07	8.84 ± 0.083	0.923 ± 0.035
4	39.0	9.72	13.59	154.8 ± 6.63	11.9 ± 0.13	0.975 ± 0.042
5	37.6	13.59	17.96	179.1 ± 6.21	16.1 ± 0.14	0.918 ± 0.032
6	32.2	17.96	29.35	401.5 ± 35.5	23.5 ± 0.52	0.913 ± 0.081
7	24.6	29.35	41.19	297.7 ± 12.3	35.1 ± 0.36	0.978 ± 0.040
	Carbon
0	42.8	6.12	8.62	114.4 ± 5.90	7.56 ± 0.097	0.821 ± 0.042
1	42.8	8.62	11.23	124.0 ± 4.58	10.3 ± 0.095	0.901 ± 0.033
2	41.2	11.23	13.40	102.0 ± 2.16	12.9 ± 0.068	0.876 ± 0.019
3	41.2	13.40	17.94	198.7 ± 7.39	16.3 ± 0.15	0.941 ± 0.035
4	39.0	17.94	25.12	287.7 ± 12.5	22.0 ± 0.24	0.973 ± 0.042
5	37.6	25.12	33.21	325.3 ± 11.2	29.7 ± 0.25	0.935 ± 0.032
6	32.2	33.21	54.30	745.2 ± 66.7	43.3 ± 0.97	0.911 ± 0.082
7	24.6	54.30	76.34	560.2 ± 23.7	64.9 ± 0.69	0.968 ± 0.041
	Nitrogen
0	42.8	6.61	9.33	125.5 ± 6.68	8.16 ± 0.11	0.837 ± 0.045
1	42.8	9.33	12.18	136.1 ± 5.14	11.1 ± 0.11	0.896 ± 0.034
2	41.2	12.18	14.56	110.7 ± 2.35	14.0 ± 0.074	0.886 ± 0.019
3	41.2	14.56	19.51	216.7 ± 8.17	17.7 ± 0.17	0.941 ± 0.035
4	39.0	19.51	27.34	314.9 ± 13.9	23.9 ± 0.26	0.970 ± 0.043
5	37.6	27.34	36.17	356.2 ± 12.2	32.3 ± 0.28	0.932 ± 0.032
6	32.2	36.17	59.19	808.7 ± 71.8	47.2 ± 1.05	0.917 ± 0.081
7	24.6	59.19	83.26	611.5 ± 26.2	70.7 ± 0.76	0.968 ± 0.041
	Oxygen
0	42.8	7.05	9.99	136.7 ± 7.56	8.71 ± 0.12	0.843 ± 0.047
1	42.8	9.99	13.07	146.6 ± 5.59	11.9 ± 0.11	0.899 ± 0.034
2	41.2	13.07	15.63	119.7 ± 2.59	15.0 ± 0.081	0.881 ± 0.019
3	41.2	15.63	20.97	234.0 ± 8.90	19.0 ± 0.18	0.940 ± 0.036
4	39.0	20.97	29.42	339.7 ± 15.1	25.7 ± 0.28	0.970 ± 0.043
5	37.6	29.42	38.94	383.5 ± 13.2	34.8 ± 0.30	0.933 ± 0.032
6	32.2	38.94	63.77	873.3 ± 78.0	50.8 ± 1.14	0.916 ± 0.082
7	24.6	63.77	89.78	661.1 ± 28.5	76.2 ± 0.82	0.968 ± 0.042
	Neon
0	42.8	7.82	11.15	155.7 ± 9.02	9.68 ± 0.14	0.851 ± 0.049
1	42.8	11.15	14.64	166.6 ± 6.59	13.3 ± 0.13	0.897 ± 0.035
2	41.2	14.64	17.56	136.6 ± 3.05	16.8 ± 0.094	0.881 ± 0.020
3	41.2	17.56	23.62	265.5 ± 10.3	21.4 ± 0.21	0.940 ± 0.036
4	39.0	23.62	33.22	385.9 ± 17.4	29.0 ± 0.33	0.970 ± 0.044
5	37.6	33.22	44.02	435.0 ± 15.1	39.3 ± 0.34	0.934 ± 0.032
6	32.2	44.02	72.24	995.3 ± 90.0	57.5 ± 1.30	0.913 ± 0.083
7	24.6	72.24	101.83	754.9 ± 32.7	86.4 ± 0.94	0.964 ± 0.042
	Magnesium
0	42.8	8.47	12.16	173.1 ± 10.4	10.5 ± 0.16	0.860 ± 0.052
1	42.8	12.16	16.03	185.0 ± 7.51	14.6 ± 0.15	0.895 ± 0.036
2	41.2	16.03	19.26	151.2 ± 3.40	18.5 ± 0.10	0.880 ± 0.020
3	41.2	19.26	25.99	294.6 ± 11.6	23.5 ± 0.23	0.941 ± 0.037
4	39.0	25.99	36.64	428.2 ± 19.5	31.9 ± 0.36	0.970 ± 0.044
5	37.6	36.64	48.63	482.8 ± 17.0	43.4 ± 0.38	0.934 ± 0.033
6	32.2	48.63	79.97	1109. ± 101.	63.6 ± 1.45	0.910 ± 0.083
7	24.6	79.97	112.90	835.5 ± 36.1	95.8 ± 1.03	0.970 ± 0.042
	Silicon
0	42.8	9.03	13.04	189.9 ± 12.0	11.2 ± 0.18	0.863 ± 0.054
1	42.8	13.04	17.26	201.5 ± 8.36	15.7 ± 0.16	0.897 ± 0.037
2	41.2	17.26	20.79	165.3 ± 3.85	19.9 ± 0.12	0.880 ± 0.020
3	41.2	20.79	28.13	323.2 ± 13.0	25.4 ± 0.26	0.936 ± 0.038
4	39.0	28.13	39.76	467.6 ± 21.5	34.6 ± 0.40	0.970 ± 0.045
5	37.6	39.76	52.87	528.6 ± 18.8	47.1 ± 0.42	0.933 ± 0.033
6	32.2	52.87	87.14	1208. ± 111.	69.2 ± 1.59	0.913 ± 0.084
7	24.6	87.14	123.20	921.5 ± 40.9	104. ± 1.16	0.963 ± 0.043
	Sulfur
0	42.8	9.51	13.83	204.8 ± 13.5	11.9 ± 0.19	0.863 ± 0.057
1	42.8	13.83	18.37	218.8 ± 9.45	16.6 ± 0.18	0.888 ± 0.038
2	41.2	18.37	22.17	178.1 ± 4.15	21.2 ± 0.12	0.879 ± 0.020
3	41.2	22.17	30.10	347.4 ± 14.1	27.1 ± 0.28	0.941 ± 0.038
4	39.0	30.10	42.66	505.7 ± 23.8	37.1 ± 0.44	0.969 ± 0.045
5	37.6	42.66	56.81	570.8 ± 20.6	50.6 ± 0.46	0.932 ± 0.034
6	32.2	56.81	93.85	1308. ± 121.	74.4 ± 1.73	0.912 ± 0.085
7	24.6	93.85	132.90	1001. ± 44.8	113. ± 1.26	0.960 ± 0.043
	Iron
0	42.8	10.47	15.83	258.5 ± 20.6	13.3 ± 0.27	0.853 ± 0.068
1	42.8	15.83	21.53	273.8 ± 13.5	19.3 ± 0.24	0.891 ± 0.044
2	41.2	21.53	26.30	225.0 ± 5.96	25.1 ± 0.17	0.873 ± 0.023
3	41.2	26.30	36.31	440.2 ± 19.9	32.5 ± 0.37	0.937 ± 0.042
4	39.0	36.31	52.22	645.3 ± 32.9	45.1 ± 0.58	0.962 ± 0.049
5	37.6	52.22	70.23	724.6 ± 27.6	62.3 ± 0.59	0.935 ± 0.036
6	32.2	70.23	117.53	1684. ± 165.	92.7 ± 2.27	0.904 ± 0.089
7	24.6	117.53	167.66	1275. ± 58.5	141. ± 1.62	0.967 ± 0.044