Clover gamma detection efficiency calculation with 152Eu
Date of the measurement: 2017-05-26 10:15
root file: 170526_1015_152Eu_noAIDA_z0cm_014.root
Gamma Energy[keV] {121.781700, 244.697500, 344.278500, 444.000000, 778.904500, 867.378000, 964.100000,
1112.074000, 1408.011000}
Crystal ID 152 Efficiency[%] {1.536508, 0.978779, 0.736707, 0.591553, 0.359426, 0.338228, 0.300229, 0.272331,
0.220314}
Crystal ID 152 Efficiency Error {0.030465, 0.021204, 0.014732, 0.016358, 0.008284, 0.011340, 0.006673,
0.006173, 0.004757}
Crystal ID 153 Efficiency[%] {1.679147, 1.051609, 0.799702, 0.628184, 0.386672, 0.387489, 0.328493, 0.300337,
0.236573}
Crystal ID 153 Efficiency Error {0.033341, 0.023338, 0.016004, 0.017827, 0.008906, 0.013626, 0.007298,
0.006773, 0.005071}
Crystal ID 154 Efficiency[%] {1.402847, 0.922081, 0.696455, 0.593818, 0.348820, 0.341118, 0.298197, 0.276055,
0.215494}
Crystal ID 154 Efficiency Error {0.027933, 0.020478, 0.014004, 0.017865, 0.008087, 0.012283, 0.006708,
0.006288, 0.004660}
Crystal ID 155 Efficiency[%] {1.329735, 0.886053, 0.665180, 0.559708, 0.340513, 0.340755, 0.288800, 0.261229,
0.202480}
Crystal ID 155 Efficiency Error {0.026511, 0.020274, 0.013378, 0.016628, 0.007732, 0.010686, 0.006432,
0.005958, 0.004413}
Crystal ID 156 Efficiency[%] {1.163705, 0.757446, 0.548990, 0.465020, 0.282777, 0.294110, 0.237165, 0.220572,
0.155430}
Crystal ID 156 Efficiency Error {0.023277, 0.017832, 0.011114, 0.014924, 0.006765, 0.010733, 0.005496,
0.005160, 0.003514}
Crystal ID 157 Efficiency[%] {1.420320, 0.906654, 0.672645, 0.536032, 0.347827, 0.346548, 0.298879, 0.269536,
0.196238}
Crystal ID 157 Efficiency Error {0.028367, 0.020536, 0.013537, 0.016528, 0.008115, 0.012147, 0.006664,
0.006128, 0.004314}
Crystal ID 158 Efficiency[%] {1.271836, 0.790926, 0.591132, 0.494340, 0.311442, 0.295866, 0.255764, 0.227822,
0.168103}
Crystal ID 158 Efficiency Error {0.025589, 0.018723, 0.011955, 0.015706, 0.007457, 0.010690, 0.005849,
0.005296, 0.003762}
Crystal ID 159 Efficiency[%] {1.268501, 0.806356, 0.588627, 0.511611, 0.297958, 0.326487, 0.252316, 0.231872,
0.175679}
Crystal ID 159 Efficiency Error {0.025339, 0.018906, 0.011939, 0.016912, 0.007159, 0.011892, 0.005740,
0.005411, 0.003900}
Total Efficiency[%] {11.072600, 7.099903, 5.299439, 4.380266, 2.675436, 2.670601, 2.259844, 2.059754, 1.570310}
Total Efficiency Error {0.078525, 0.057205, 0.037954, 0.047007, 0.022172, 0.033133, 0.018054, 0.016749, 0.012242}
Fitting Function: 10^{p_0 + p_1*ln(x) + p_2*ln^2(x) + p_3/x^2} (This is the function used in the textbook
"Radiation detection and measurement" by G.Knoll)
Parameters
Total (two clovers):
p_0 = 2.29172e-01 +/- 1.13185e-02
p_1 = 9.48436e-01 +/- 8.89344e-04
p_2 = -1.54934e-01 +/- 7.58240e-05
p_3 = 1.89920e+06 +/- 1.18292e+09
ID152:
FCN=1.11317 FROM HESSE STATUS=NOT POSDEF 23 CALLS 325 TOTAL
EDM=1.40411e-09 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 8.09248e+00 4.00474e-02 1.92940e-06 7.13568e-03
2 p1 -2.02411e+00 8.19548e-03 4.82585e-07 4.27674e-02
3 p2 9.78402e-02 1.18086e-03 2.33269e-08 2.59077e-01
4 p3 -2.11550e+09 1.97563e+08 5.04375e+02 2.35344e-13
ID153:
FCN=7.1582 FROM HESSE STATUS=NOT POSDEF 23 CALLS 345 TOTAL
EDM=1.28369e-11 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 5.98204e+00 4.02864e-02 1.42623e-06 1.27251e-03
2 p1 -1.30120e+00 8.24403e-03 3.10231e-07 7.00775e-03
3 p2 3.70097e-02 1.18706e-03 2.80719e-08 3.85335e-02
4 p3 -1.43256e+09 1.97976e+08 3.41550e+02 1.75334e-14
ID154:
FCN=7.31777 FROM HESSE STATUS=NOT POSDEF 23 CALLS 300 TOTAL
EDM=7.25203e-09 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 4.60707e+00 4.07462e-02 1.09841e-06 -1.28042e-02
2 p1 -8.62719e-01 8.33215e-03 2.05688e-07 -8.63564e-02
3 p2 9.84262e-04 1.20127e-03 2.86738e-08 -5.66097e-01
4 p3 -1.45278e+09 2.00179e+08 3.46370e+02 5.24463e-13
ID155:
FCN=8.93044 FROM HESSE STATUS=NOT POSDEF 23 CALLS 325 TOTAL
EDM=1.56376e-09 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 3.36149e-01 4.05951e-02 1.02424e-06 1.66747e-02
2 p1 5.96907e-01 8.27701e-03 1.78992e-07 9.42383e-02
3 p2 -1.24128e-01 1.19514e-03 3.10496e-08 5.35879e-01
4 p3 -5.49707e+08 1.98933e+08 1.31060e+02 2.34852e-13
ID156:
FCN=27.107 FROM HESSE STATUS=NOT POSDEF 23 CALLS 369 TOTAL
EDM=1.72237e-10 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 -6.26350e+00 4.21430e-02 1.78695e-06 -4.63010e-03
2 p1 2.85365e+00 8.58127e-03 6.80363e-07 -2.64484e-02
3 p2 -3.19389e-01 1.24245e-03 7.61484e-08 -1.51241e-01
4 p3 1.16616e+09 2.05264e+08 2.78034e+02 -1.93778e-14
ID157:
FCN=19.4716 FROM HESSE STATUS=NOT POSDEF 23 CALLS 342 TOTAL
EDM=1.04278e-08 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 -3.89605e+00 4.09683e-02 1.48832e-06 3.26076e-02
2 p1 2.04214e+00 8.37584e-03 4.86884e-07 1.83059e-01
3 p2 -2.47352e-01 1.20710e-03 5.89732e-08 1.02761e+00
4 p3 9.13701e+08 2.00155e+08 2.17843e+02 1.24035e-13
ID158:
FCN=7.59955 FROM HESSE STATUS=NOT POSDEF 23 CALLS 331 TOTAL
EDM=1.78742e-08 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 -8.46924e+00 4.17987e-02 2.01922e-06 -1.01596e-03
2 p1 3.60905e+00 8.55091e-03 8.60466e-07 8.06431e-03
3 p2 -3.83202e-01 1.23257e-03 9.13624e-08 1.28451e-01
4 p3 1.94705e+09 2.02809e+08 4.64212e+02 1.90916e-13
ID159:
FCN=24.8135 FROM HESSE STATUS=NOT POSDEF 27 CALLS 314 TOTAL
EDM=7.91895e-10 STRATEGY= 1 ERR MATRIX NOT POS-DEF
EXT PARAMETER APPROXIMATE STEP FIRST
NO. NAME VALUE ERROR SIZE DERIVATIVE
1 p0 -1.15142e+00 4.18270e-02 1.70735e-06 3.54687e-03
2 p1 1.09795e+00 8.55588e-03 2.98767e-07 1.75400e-02
3 p2 -1.67863e-01 1.23250e-03 5.18807e-08 8.63094e-02
4 p3 1.96354e+08 2.02197e+08 4.87057e+05 3.05910e-13
For comparison: EURICA total efficiency - see attachment 3 |