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Entry time:

Mon May 29 04:17:34 2017

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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

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