Feb 2017 Energy Efficiency Calculations - Revision history

Brenleyt at 03:41, 3 March 2017

2017-03-03T03:41:57Z

Brenleyt at 20:02, 16 February 2017

2017-02-16T20:02:16Z

Brenleyt at 20:00, 16 February 2017

2017-02-16T20:00:27Z

Brenleyt at 19:58, 16 February 2017

2017-02-16T19:58:44Z

Brenleyt at 19:57, 16 February 2017

2017-02-16T19:57:01Z

Brenleyt at 19:50, 16 February 2017

2017-02-16T19:50:53Z

Brenleyt at 19:47, 16 February 2017

2017-02-16T19:47:56Z

Brenleyt at 19:43, 16 February 2017

2017-02-16T19:43:17Z

Brenleyt at 19:41, 16 February 2017

2017-02-16T19:41:58Z

Brenleyt at 19:41, 16 February 2017

2017-02-16T19:41:24Z

← Older revision		Revision as of 03:41, 3 March 2017
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−	Below are the ~~theoretical~~ calculations for the theoretical decay frequencies	+	==Theoretical Activities==
		+
		+	Below are the calculations for the theoretical decay frequencies

	Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 keV line and 178.8 for 511 keV line , activity in Feb 4, 2017 = 3.947 uCi		Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 keV line and 178.8 for 511 keV line , activity in Feb 4, 2017 = 3.947 uCi

@@ Line 28: / Line 28: @@
 := <math>\left (0.6205 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 118236.3 Hz  </math> for the 356 keV line
 Below is a table where the actual efficiency will be calculated for position R (farthest position).
@@ Line 34: / Line 36: @@
 |  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
+| r5820  || 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
+| r5818 || 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
+| r5896 || 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
+| r5822 || 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
+| r5820 || 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
+| r5822 || Co-60 ||  1332.492 || 139058.52 ||(1328:1337)(3.283-0.05702=3.22598)|| 0.002
 |}

@@ Line 25: / Line 25: @@
 Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 keV line has an intensity of 0.329 and the 356 keV line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi
-:= <math>\left (0.329 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=   </math> for the 81 keV line
+:= <math>\left (0.329 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 62690.95 Hz  </math> for the 81 keV line
 Below is a table where the actual efficiency will be calculated for position R (farthest position).

@@ Line 1: / Line 1: @@
 Below are the theoretical calculations for the theoretical decay frequencies
-Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 and 178.8 for 511 line , activity in Feb 4, 2017 = 3.947 uCi
+Na-22, 10.19 uCi on July 15, 2013, half life 2.602 +/- 0.002 years, 99.937% for 1274.52 keV line and 178.8 for 511 keV line , activity in Feb 4, 2017 = 3.947 uCi
-:= <math>\left (0.99937 \right )\left ( 3.947 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,946 Hz </math> for the 1274 line
+:= <math>\left (0.99937 \right )\left ( 3.947 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 145,946 Hz </math> for the 1274 keV line
-:= <math>\left (1.788 \right )\left ( 3.947 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  261,117.732 Hz </math> for the 511 line
+:= <math>\left (1.788 \right )\left ( 3.947 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  261,117.732 Hz </math> for the 511 keV line
-Cs-137, 661.660 line, 9.067 uCi on May 5, 2005, half life 30.0 +/- 0.2 yrs, February 4, 2017 activity =6.917 uCi  expected rate for 661 line
+Cs-137, 661.660 keV line, 9.067 uCi on May 5, 2005, half life 30.0 +/- 0.2 yrs, February 4, 2017 activity =6.917 uCi  expected rate for 661 keV line
 := <math>\left ( 0.8521\right )\left ( 6.917 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 218,077.1 Hz </math>
-Mn-54, 9.882 uCi  on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , February 12, 2017 activity =0.249 uCi
+Mn-54, 9.882 uCi  on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 keV line , February 12, 2017 activity =0.249 uCi
-:= <math>\left (0.99975 \right )\left ( 0.249 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  9210.7 Hz </math> for the 834 line
+:= <math>\left (0.99975 \right )\left ( 0.249 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  9210.7 Hz </math> for the 834 keV line
-Co-60, 9.080 uCi July 15, 2013, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 and 99.9824 % for 1332.501, February 4, 2016 activity= 5.68 uCi
+Co-60, 9.080 uCi July 15, 2013, half life 5.271 +/- 0.001 years, 99.0 % for 1173.237 keV line and 99.9824 % for 1332.501 keV line, February 4, 2016 activity= 5.68 uCi
-:= <math>\left (0.99 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  208058.4 Hz </math> for the 1173 line
+:= <math>\left (0.99 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  208058.4 Hz </math> for the 1173 keV line
-:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  210123.0 Hz </math> for the 1332 line
+:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=  210123.0 Hz </math> for the 1332 keV line
-Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 line has an intensity of 0.329 and the 356 line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi
+Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 keV line has an intensity of 0.329 and the 356 keV line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi
 := <math>\left (0.329 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)=   </math> for the 81 keV line

← Older revision		Revision as of 19:57, 16 February 2017
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	Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 line has an intensity of 0.329 and the 356 line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi		Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 line has an intensity of 0.329 and the 356 line has an intensity of 0.6205. The activity of February 9, 2017 is 5.15 uCi
		+
		+	:= <math>\left (0.329 \right )\left ( 5.15 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= </math> for the 81 keV line

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

← Older revision		Revision as of 19:47, 16 February 2017
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	:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 210123.0 Hz </math> for the 1332 line		:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 210123.0 Hz </math> for the 1332 line

		+	Ba-133, 9.821 uCi on April 15, 2007, half life is 10.51 years, the 81 line has an intensity of 0.329 and the 356 line has an intensity of 0.6205. The activity of February 9, 2017 is

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

← Older revision		Revision as of 19:43, 16 February 2017
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−	:= <math>\left (0.99 \right )\left ( 5.68 \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 (0.99 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 208058.4 Hz </math> for the 1173 line


−	:= <math>\left (0.999824 \right )\left ( 5.68 \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	+	:= <math>\left (0.999824 \right )\left ( 5.68 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 210123.0 Hz </math> for the 1332 line

← Older revision		Revision as of 19:41, 16 February 2017
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−	:= <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 (0.99 \right )\left ( 5.68 \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	+	:= <math>\left (0.999824 \right )\left ( 5.68 \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

← Older revision		Revision as of 19:41, 16 February 2017
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	Mn-54, 9.882 uCi on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , February 12, 2017 activity =0.249 uCi		Mn-54, 9.882 uCi on August 8, 2012, half life =312.20 +/- 0.07 days, 99.975% intensity on 834.826 , February 12, 2017 activity =0.249 uCi

−	:= <math>\left (0.99975 \right )\left ( 0.249 \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	+	:= <math>\left (0.99975 \right )\left ( 0.249 \times 10^{-6} \mbox{Ci} \right) \left (\frac{ (3.7 \times 10^{10} \mbox{Hz}}{\mbox{Ci}} \right)= 9210.7 Hz </math> for the 834 line