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 (ABT) 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

(cm2 sr)

Emin

(MeV/n)

Emax

(MeV/n)

<G>

(cm2 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