Brenleyt: Created page with "Below is the runlist for finding the efficiency of the detector at position R {| border="3" cellpadding="5" cellspacing="0" | Source || Serial # || Reference Date || Activit…"

2017-05-03T04:24:56Z

Created page with "Below is the runlist for finding the efficiency of the detector at position R {| border="3" cellpadding="5" cellspacing="0" | Source || Serial # || Reference Date || Activit…"

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Below is the runlist for finding the efficiency of the detector at position R

{| border="3" cellpadding="5" cellspacing="0"
| Source || Serial # || Reference Date || Activity || Start || Stop || Live
|-
| Na-22 || 129743 || 7-01-08 || 9.427 microCi || 15:49 || 16:19 || 1796.803
|-
| Cs-137 || 129793 || 7-01-08 || 1.006 microCi || 14:25 || 14:56 || 1879.606
|-
| Mn-54 || 129807 || 7-01-08 || 11.77 microCi || 15:00 || 15:30 || 1793.420
|-
| Co-60 || 129740 || 7-01-08 || 10.42 microCi || 15:33 || 15:43 || 569.725
|-
|}

Below are the theoretical calculations for the theoretical decay frequencies

Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in March 31, 2016 =1.196micro Ci
:= <math>\left (0.99937 \right )\left ( 1.196 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 44,224 Hz </math> for the 1274 line

:= <math>\left (1.788 \right )\left ( 1.196 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 79122.6 Hz </math> for the 511 line

Cs-137, 661.660 line, 85.21% * 1.066micro Ci on July 1, 2008, half life 30.0 +/- 0.2 yrs, March 31, 2016 activity = 0.891micro Ci expected rate for 661 line

:= <math>\left (0.8521 \right )\left ( 0.891 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 28091.2 Hz </math>

Mn-54, 11.77 microCi on July 1, 2008, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , March 31, 2016 activity =0.02328micro Ci

:= <math>\left (0.99975 \right )\left ( 0.02328 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 861.1 Hz </math> for the 834 line

Co-60, 10.42micro Ci July 1, 2008, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, March 31, 2016 activity=3.759micro Ci

:= <math>\left (0.99 \right )\left ( 3.759 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 137692.17 Hz </math> for the 1173 line

:= <math>\left (0.999824 \right )\left ( 3.759 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 139058.52 Hz </math> for the 1332 line

Below is a table where the actual efficiency will be calculated for position R (farthest position).

{| border="3" cellpadding="5" cellspacing="0"
| Run || Source || Energy (keV) || Expected Rate (Hz) || HpGe Rate (Hz) || HpGe Det D Efficiency (%)
|-
| Eff_003 || Na-22 || 511 || 79122.6 || (506:516) (4.309-0.065=4.244) || 0.005
|-
| Eff_005 || Cs-137 || 661.657 || 28091.2 ||(657:666)(1.105-0.02281=1.0821) ||0.004
|-
| Eff_006 || Mn-54 || 834.848 || 861.1 ||(830:839)(0.04037-0.009123=0.031247)||0.004
|-
| Eff_007 || Co-60 || 1173.228 || 137692 ||(1164:1182)(3.686-0.01939=3.67)||0.003
|-
| Eff_003 || Na-22 || 1274.537 || 44224 ||(1270:1279) (1.073-0.0057=1.0673)||0.002
|-
| Eff_007 || Co-60 || 1332.492 || 139058.52 ||(1328:1337)(3.283-0.05702=3.22598)|| 0.002
|}

Below is a runlist for position k

{| border="3" cellpadding="5" cellspacing="0"
| Source || Serial # || Reference Date || Activity || Start || Stop || Live
|-
| Na-22 || 129743 || 7-01-08 || 9.427 microCi || 14:54 || 15:01 || 434.087
|-
| Cs-137 || 129793 || 7-01-08 || 1.006 microCi || 15:48 || 15:55 || 413.925
|-
| Mn-54 || 129807 || 7-01-08 || 11.77 microCi || 15:28 || 15:40 || 705.186
|-
| Co-60 || 129740 || 7-01-08 || 10.42 microCi || 15:41 || 15:47 || 346.092
|-
|}

Below are the theoretical decay frequencies

Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in April 14, 2016 =1.183micro Ci
:= <math>\left (0.99937 \right )\left ( 1.183 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 43743.4 Hz </math> for the 1274 line

:= <math>\left (1.788 \right )\left ( 1.183 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 78262.5 Hz </math> for the 511 line

Cs-137, 661.660 line, 85.21% * 1.066micro Ci on July 1, 2008, half life 30.0 +/- 0.2 yrs, April 14, 2016 activity =0.890 micro Ci expected rate for 661 line

:= <math>\left (0.8521 \right )\left ( 0.890 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 28059.7 Hz </math>

Mn-54, 11.77 on July 1, 2008, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , April 14, 2016 activity =0.02251micro Ci

:= <math>\left (0.99975 \right )\left ( 0.02251 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 830.79 Hz </math> for the 834 line

Co-60, 10.42micro Ci July 1, 2008, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, April 14, 2016 activity=3.74micro Ci

:= <math>\left (0.99 \right )\left ( 3.74 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 136996.2 Hz </math> for the 1173 line

:= <math>\left (0.999824 \right )\left ( 3.74 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 138355.6 Hz </math> for the 1332 line

Below are the actual efficiencies for position k

{| border="3" cellpadding="5" cellspacing="0"
| Run || Source || Energy (keV) || Expected Rate (Hz) || HpGe Rate (Hz) || HpGe Det D Efficiency (%)
|-
| Eff_k_002 || Na-22 || 511 || 79122.6 || (506:516)(49.21-0.6272=48.58) || 0.06
|-
| Eff_k_006 || Cs-137 || 661.657 || 28091.2 ||(657:666)(12.86-0.02281=12.837) ||0.05
|-
| Eff_k_004 || Mn-54 || 834.848 || 861.1 ||(830:839)(0.3204-0.009123=0.311)||0.04
|-
| Eff_k_005 || Co-60 || 1173.228 || 137692 ||(1164:1182)(42.39-0.02053=42.369)||0.03
|-
| Eff_k_002 || Na-22 || 1274.537 || 44224 ||(1270:1279) (12.53-0.005702)=12.52||0.03
|-
| Eff_k_005 || Co-60 || 1332.492 || 139058.52 ||(1328:1337)(35.94-0.005072)|| 0.03
|}

Below is a runlist for position C

{| border="3" cellpadding="5" cellspacing="0"
| Source || Serial # || Reference Date || Activity || Start || Stop || Live
|-
| Na-22 || 129742 || 7-01-08 || 1.146 microCi || 12:55 || 12:57 || 129.782
|-
| Cs-137 || 129793 || 7-01-08 || 1.006 microCi || 13:02 || 13:04 || 123.818
|-
| Mn-54 || 129806 || 7-01-08 || 1.226 microCi || 13:11 || 13:21 || 613.754
|-
| Co-60 || 129739 || 7-01-08 || 1.082 microCi || 13:08 || 13:09 || 103.599
|-
|}

Below are the calculations for the theoretical frequencies

Na-22, 9.427micro Ci on July 1, 2008, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in May 5, 2016 =1.196micro Ci
:= <math>\left (0.99937 \right )\left ( 0.14 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 5176.7 Hz </math> for the 1274 line

:= <math>\left (1.788 \right )\left ( 0.14 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 9261.8 Hz </math> for the 511 line

Cs-137, 661.660 line, 85.21% * 1.066micro Ci on July 1, 2008, half life 30.0 +/- 0.2 yrs, May 5, 2016 activity = 0.89micro Ci expected rate for 661 line

:= <math>\left (0.8521 \right )\left ( 0.891 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 28059.7 Hz </math>

Mn-54, 1.226 microCi on July 1, 2008, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , May 5, 2016 activity =0.002micro Ci

:= <math>\left (0.99975 \right )\left ( 0.002 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 73.98 Hz </math> for the 834 line

Co-60, 1.082micro Ci July 1, 2008, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, May 5, 2016 activity=0.39micro Ci

:= <math>\left (0.99 \right )\left ( 0.39 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 14285.7 Hz </math> for the 1173 line

:= <math>\left (0.999824 \right )\left ( 0.39 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 14427.5 Hz </math> for the 1332 line

Below is a table with the calculated efficiencies

{| border="3" cellpadding="5" cellspacing="0"
| Run || Source || Energy (keV) || Expected Rate (Hz) || HpGe Rate (Hz) || HpGe Det D Efficiency (%)
|-
| Eff_C_001 || Na-22 || 511 || 9261.8 || (506:516) (45.65-0.065=45.585) || 0.5
|-
| Eff_C_002 || Cs-137 || 661.657 || 28059.7 ||(657:666)(101.7-0.02281=101.67) || 0.4
|-
| Eff_C_004 || Mn-54 || 834.848 || 73.98 ||(830:839)(0.2704-0.009123=0.2612)||0.4
|-
| Eff_C_003 || Co-60 || 1173 || 14285.7 ||(1164:1182)(34.24-0.01939=34.22)||0.2
|-
| Eff_C_001 || Na-22 || 1274.537 || 5176.7 ||(1270:1279) (11.15-0.0057=11.14)||0.2
|-
| Eff_C_003 || Co-60 || 1332.492 || 14427.5 ||(1328:1337)(28.05-0.05702=27.99)|| 0.2
|}

LB Se PAA Horse Feed IAC Detector Effiencies - Revision history

Brenleyt: Created page with "Below is the runlist for finding the efficiency of the detector at position R {| border="3" cellpadding="5" cellspacing="0" | Source || Serial # || Reference Date || Activit…"