Effects of Angles on Muon Flux

Effects of Angle Orientation of Muon Detectors on Muon Flux Marco Lin Lake ShoreKristian Wilks Lake ShoreOverview IntroductionProblem Statement/Hypothesis Materials Procedures Data and Analysis Conclusion Applications/Future Research

2Lin - Wilks2Introduction Cosmic RaysSupernova3

Lin - WilksElementaryLeptonsMuon 200x electron mass-1/2 Spin2.2 micro-seconds

Introduction - Muon

4http://neutron.magnet.fsu.edu/muon_relax.htmlLin - WilksThe rate of muon hits in an area at a given timeEvents per meter squared per 60 seconds

Introduction Muon Flux 5Lin - WilksProblem StatementWhich angle 0, 45 or 90 degrees to the north/south horizontal would acquire the highest muon flux6

uuuLin - WilksMuon DetectoruuuuuuuuuHypothesis The muon sensors at 90 degrees from the north/south horizontal would have the highest muon flux7

Lin - WilksMaterials8Lin - Wilks

Performance Study

9Performance study for experimentCalibration

Lin - WilksProceduresRandomized StudiesSet mount to appropriate angle Run flux study at one fold for at least 8 hoursRun flux study at two fold for at least 8 hoursAnalyze data on Elab

10Lin - Wilks 90 Degrees 45 Degrees 0 DegreesSet Up of Experiment

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DataDegrees Vertical from South(One fold Coincidence)Mean (Events Per Meter Squared Per 60 Seconds)Standard Deviation 0579728045707921090827020013Degrees Vertical from South(Two fold Coincidence)Mean (Events Per Meter Squared Per 60 Seconds)Standard Deviation 011874547373901040172Lin - Wilks

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90 degrees45 degrees0 degreesFlux Study One FoldLin - Wilks1415

90 degrees45 degrees0 degrees

Flux Study Two FoldLin - Wilks15Statistical Test: ANOVAComparison of multiple independent populationsAssumptionsMultiple independent samplesNormally distributedSimple Random SampleLargest standard deviation is less than twice the smallest

16Lin - WilksStatistical Test: ANOVAHo: 0 = 45 = 90All three angle means are the sameHa: 0, 45, and 90 are not all equalNot all angle means are the same17Lin - WilksStatistical Test: ANOVAResultsOne-Fold CoincidenceP-value = 6.71x10^-92 Two-Fold CoincidenceP-value = 1.78x10-55 18Lin - WilksStatistical Test: Two-Sample t TestComparison of two means of independent populationsAssumptionsNormally DistributedKnown Standard DeviationSimple Random SampleAdequate sample size

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Statistical Test: Two-Sample t TestNull Hypothesis1= 2Means of both angles are the sameAlternative Hypothesis1>2Mean of angle 1 (larger angle) is greater than mean of angle 2 (smaller angle)

20Lin - WilksStatistical Test: Two-Sample t TestResults (0ne-Fold, 0 degrees vs. 45 degrees)T-value = 25.3973 Means 25.3973 deviations apartP-value = 4.43x10^-35Below the 0.05 accepted significance levelMeans that there is a 4.43x10^-35 chance of getting data like this if null hypothesis is true

21Lin - WilksStatistical Test: Two-Sample t TestResults (0ne-Fold, 45 degrees vs. 90 degrees)T-value = 29.404 Means 29.404 deviations apartP-value = 3.55x10^-44 Below the 0.05 accepted significance levelMeans that there is a 3.55x10^-44 chance of getting data like this if null hypothesis is true

22Lin - WilksStatistical Test: Two-Sample t TestResults (Two-Fold, 0 degrees vs. 45 degrees)T-value = 24.3451 Means 24.3451 deviations apartP-value = 7.44x10^-19 Below the 0.05 accepted significance levelMeans that there is a 7.44x10^-19 chance of getting data like this if null hypothesis is true

23Lin - WilksStatistical Test: Two-Sample t TestResults (Two-Fold, 45 degrees vs. 90 degrees)T-value = 19.3764 Means 19.3764 deviations apartP-value = 2.84x10^-29 Below the 0.05 accepted significance levelMeans that there is a 2.84x10^-29 chance of getting data like this if null hypothesis is true

24Lin - Wilks One Fold Two Fold Statistical Test: Regression25Lin - Wilks

Conclusion90 degree > 45 degrees > 0 degreesAccept Hypothesis 26

Lin - WilksErrors and LimitationOne sensor was from older seriesGeometry was at 90 degree position all the timeThree and four fold

27Lin - WilksConclusionThere is a positive linear relationship from 0 degrees to 90 degreesPrevious Research28

Lin - WilksFurther Research Three fold and four foldMore angles Thinner panels 29Lin - WilksApplications Muon CatalystUnlimited Power Source Using Muons and Deterium Super Nova

30Lin - WilksMuon Catalyst Muon Catalyst

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Muon Catalyst Deuterium Abundant in Ocean

Muons from Cosmic Rays

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Applications Lin - Wilks33

Deuterium Atom(Stable Isotope ofHydrogen) Muon Expel Electron

Applications 34Lin - Wilks

Deuterium Deuterium Bond

Helium Three

Tritium Atom Applications 35Lin - Wilks

Applications 36Lin - Wilks

Deterium Tritium Bond

Muon and neutron Expelled energy Is released

Helium Gas Applications 37Lin - Wilks

Acknowledgments Dr. HarrWayne StateJuandell Matthews and Adrian IonascuMr. NiedballaMrs. GravelMr. McmillanParents

38Lin - WilksWork Cited http://www.youtube.com/watch?v=wu-IKqxVOfohttp://www.i2u2.org/elab/cosmic/home/http://neutron.magnet.fsu.edu/muon_relax.html

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40Any Questions?Lin - Wilks

41Any Questions?Lin - Wilks

42Any Questions?Lin - Wilks