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| | ==Fixed uncertainty due to large asymmetry== | | ==Fixed uncertainty due to large asymmetry== |
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| − | Previously, the code was using a simplified <math>\delta A_{zz} = \frac{4}{f \cdot Pzz \sqrt{N}}</math>. This gave all of the above uncertainties, as well as this one: | + | Previously, the code was using a simplified $\delta A_{zz} = \frac{4}{f \cdot Pzz \sqrt{N}}$. This gave all of the above uncertainties, as well as this one: |
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| | [[Image:2013-09-19-old-error.png]] | | [[Image:2013-09-19-old-error.png]] |
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| − | Going back through [http://nuclear.unh.edu/~elong/analysis_files/2013-05-16/Azz_error.pdf the uncertainty tech note], the assumption of a small asymmetry isn't made until after Eq. 28. Utilizing the full uncertainty (Eq. 28 and 25), <math>\delta A_{zz} = \frac{2}{f \cdot Pzz}\sqrt{\frac{N_{Pol}}{N_u^2}+\frac{N_{Pol}^2}{N_u^3}}</math>, the uncertainties change (very slightly) to: | + | Going back through [http://nuclear.unh.edu/~elong/analysis_files/2013-05-16/Azz_error.pdf the uncertainty tech note], the assumption of a small asymmetry isn't made until after Eq. 28. Utilizing the full uncertainty (Eq. 28 and 25), $\delta A_{zz} = \frac{2}{f \cdot Pzz}\sqrt{\frac{N_{Pol}}{N_u^2}+\frac{N_{Pol}^2}{N_u^3}}$, the uncertainties change (very slightly) to: |
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| | [[Image:2013-09-19-new-error.png]] | | [[Image:2013-09-19-new-error.png]] |
| − |
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| − | ==Time Scan==
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| − |
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| − | Scanning over time and increasing it from 1 day to 2 weeks in intervals of one day, we get:
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| − |
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| − | [[Image:2013-09-19-time-scan.gif]]
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| − |
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| − | ===1 Week Measurement===
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| − | ----
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| − |
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| − | Given one PAC week, using the SHMS and an 11 GeV beam on an 30% tensor polarized target, we can expect to get a good measurement from <math>0.8 > x > 1.8</math>
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| − |
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| − | ====Beam Energy = 11.0 GeV====
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| − | ----
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| − |
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| − | [[Image:2013-09-19-one-week-measurement.png]]
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| − |
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| − | {| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
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| − | | style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
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| − | |-
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| − | | 0.8 || 0.716E-02 || 0.526E-02
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| − | |-
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| − | | 0.9 || 0.675E-02 || 0.120E-01
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| − | |-
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| − | | 1.0 || 0.525E-02 || 0.249E-03
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| − | |-
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| − | | 1.1 || 0.569E-02 || 0.307E-01
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| − | |-
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| − | | 1.2 || 0.941E-02 || 0.667E-01
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| − | |-
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| − | | 1.3 || 0.140E-01 || 0.924E-01
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| − | |-
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| − | | 1.4 || 0.194E-01 || 0.998E-01
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| − | |-
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| − | | 1.5 || 0.130E-01 || 0.100E+00
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| − | |-
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| − | | 1.6 || 0.124E-01 || 0.100E+00
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| − | |-
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| − | | 1.7 || 0.222E-01 || 0.100E+00
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| − | |-
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| − | | 1.8 || 0.204E-01 || 0.100E+00
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| − | |-
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| − | |}
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| − |
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| − | ====Beam Energy = 8.8 GeV====
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| − | ----
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| − |
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| − | [[Image:2013-09-19-088-one-week-measurement.png]]
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| − |
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| − | {| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
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| − | | style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
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| − | |-
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| − | | 0.8 || 0.345E-02 || 0.526E-02
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| − | |-
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| − | | 0.9 || 0.324E-02 || 0.120E-01
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| − | |-
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| − | | 1.0 || 0.387E-02 || 0.249E-03
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| − | |-
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| − | | 1.1 || 0.264E-02 || 0.307E-01
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| − | |-
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| − | | 1.2 || 0.416E-02 || 0.667E-01
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| − | |-
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| − | | 1.3 || 0.565E-02 || 0.924E-01
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| − | |-
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| − | | 1.4 || 0.101E-01 || 0.998E-01
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| − | |-
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| − | | 1.5 || 0.967E-02 || 0.100E+00
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| − | |-
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| − | | 1.6 || 0.131E-01 || 0.100E+00
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| − | |-
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| − | | 1.7 || 0.169E-01 || 0.100E+00
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| − | |-
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| − | | 1.8 || 0.286E-01 || 0.100E+00
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| − | |-
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| − | |}
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| − |
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| − |
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| − | ====Beam Energy = 6.6 GeV====
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| − | ----
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| − |
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| − | [[Image:2013-09-19-066-one-week-measurement.png]]
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| − |
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| − | {| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
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| − | | style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
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| − | |-
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| − | | 0.8 || 0.146E-02 || 0.526E-02
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| − | |-
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| − | | 0.9 || 0.141E-02 || 0.120E-01
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| − | |-
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| − | | 1.0 || 0.167E-02 || 0.249E-03
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| − | |-
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| − | | 1.1 || 0.204E-02 || 0.307E-01
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| − | |-
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| − | | 1.2 || 0.377E-02 || 0.667E-01
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| − | |-
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| − | | 1.3 || 0.154E-02 || 0.924E-01
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| − | |-
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| − | | 1.4 || 0.205E-02 || 0.998E-01
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| − | |-
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| − | | 1.5 || 0.268E-02 || 0.100E+00
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| − | |-
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| − | | 1.6 || 0.464E-02 || 0.100E+00
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| − | |-
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| − | | 1.7 || 0.387E-02 || 0.100E+00
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| − | |-
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| − | | 1.8 || 0.476E-02 || 0.100E+00
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| − | |-
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| − | |}
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| − |
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| − | ====Beam Energy = 4.4 GeV====
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| − | ----
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| − |
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| − | [[Image:2013-09-19-044-one-week-measurement.png]]
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| − |
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| − | {| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
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| − | | style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
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| − | |-
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| − | | 0.8 || 0.906E-03 || 0.526E-02
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| − | |-
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| − | | 0.9 || 0.782E-03 || 0.120E-01
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| − | |-
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| − | | 1.0 || 0.816E-03 || 0.249E-03
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| − | |-
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| − | | 1.1 || 0.115E-02 || 0.307E-01
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| − | |-
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| − | | 1.2 || 0.153E-02 || 0.667E-01
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| − | |-
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| − | | 1.3 || 0.231E-02 || 0.924E-01
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| − | |-
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| − | | 1.4 || 0.247E-02 || 0.998E-01
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| − | |-
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| − | | 1.5 || 0.108E-02 || 0.100E+00
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| − | |-
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| − | | 1.6 || 0.127E-02 || 0.100E+00
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| − | |-
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| − | | 1.7 || 0.149E-02 || 0.100E+00
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| − | |-
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| − | | 1.8 || 0.234E-02 || 0.100E+00
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| − | |-
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| − | |}
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| − |
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| − | ====Beam Energy = 2.2 GeV====
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| − | ----
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| − |
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| − | [[Image:2013-09-19-022-one-week-measurement.png]]
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| − |
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| − | {| class="wikitable" style="text-align:center; border-collapse:collapse;" border="1"
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| − | | style="width: 50px;" | <math><x></math> || style="width: 100px;" | <math>dA_{zz}^{stat}</math> || style="width: 100px;" | <math>dA_{zz}^{sys}</math>
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| − | |-
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| − | | 0.8 || 0.954E-03 || 0.526E-02
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| − | |-
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| − | | 0.9 || 0.895E-03 || 0.120E-01
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| − | |-
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| − | | 1.0 || 0.661E-03 || 0.249E-03
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| − | |-
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| − | | 1.1 || 0.900E-03 || 0.307E-01
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| − | |-
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| − | | 1.2 || 0.135E-02 || 0.667E-01
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| − | |-
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| − | | 1.3 || 0.137E-02 || 0.924E-01
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| − | |-
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| − | | 1.4 || 0.134E-02 || 0.998E-01
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| − | |-
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| − | | 1.5 || 0.119E-02 || 0.100E+00
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| − | |-
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| − | | 1.6 || 0.160E-02 || 0.100E+00
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| − | |-
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| − | | 1.7 || 0.169E-02 || 0.100E+00
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| − | |-
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| − | | 1.8 || 0.220E-02 || 0.100E+00
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| − | |-
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| − | |}
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| − |
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| − | --[[User:Ellie|E. Long]] 21:13, 19 September 2013 (UTC)
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