Brenleyt at 20:09, 5 February 2017

2017-02-05T20:09:24Z

Brenleyt: Created page with "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…"

2017-02-05T20:06:32Z

Created page with "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…"

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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
|}

@@ Line 2: / Line 2: @@
 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
@@ Line 29: / Line 14: @@
 |  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
+| r5825  || Na-22 || 511 || 79122.6 || (480:540) (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
+| r5826 || Na-22 || 511 || 28091.2 ||(480:540)(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
+| r5827 || Na-22 || 511  || 861.1 ||(480:540)(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
+| r5829 || Na-22 ||  511 || 137692 ||(480:540)(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
+| r5830 || Na-22 || 511 || 44224 ||(480:540) (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
+| r5831 || Na-22 ||  511 || 139058.52 ||(480:540)(3.283-0.05702=3.22598)|| 0.002
 |}

Feb 2017 Geometric Efficiency Calculations - Revision history

Brenleyt at 20:09, 5 February 2017

Brenleyt: Created page with "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…"