radioactive decay cindy so. curvebank project website with many mathematical curves information on...
Post on 19-Dec-2015
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Radioactive Decay
Cindy So
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Curvebank Project
Website with many mathematical curves Information on curves Animation of curve
http://curvebank.calstatela.edu/home/home.htm
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What is Radioactive decay?
Decay is occurs in the parent isotope creates a daughter isotope Decay to form a more stable atom Readjustment of neutrons and protons Random process Impossible to predict the decay of
individual atoms
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Why is it important?
Used to determine dates of objects Uranium-lead dating
Highly respected Error of dates of three billion years old is no
more than two million years
Potassium-argon dating Carbon-14 date more recent objects
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Carbon-14 dating chart
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Earth’s Age
4.55 billion years Compromise of two ages
Zircon - oldest known minerals is about 4.404 billion years
Ca-Al-rich inclusions – oldest known solid constituents within meteorites – are 4.567 billion years old
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General Equation
Exponential decay: A = Aoekt
Calculations with potassium-argon dating A = Aoekt 0.945 = 1 e(-5.29x10-10)t ln(0.945) = (-5.29x10-10)t t = 107 million years
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Half-life
Referred using half-lifes Time for radioactive substance to decay
by half Calculation using carbon-14
A = Aoekt 0.5 = 1 e(-0.000121)t
ln(0.5) = (-0.000121) = tT = 5728 years
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Types of decay
Each radioactive isotope decay differently Carbon-14 has half-life of 5730 years Cobalt-60 has half-life of 0.7916 years Sodium-24 has half-life of 18 hours Krypton-81 has half-life of 13 seconds
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Goal of project
Main goal: graph the radioactive decay curve
Information needed: Range of time (x-axis) Decay rate and its type
Not needed Amount (y-axis)
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Calculations
Split time into 500 sections Used equation to calculate amount
remaining Needed to adjust the graph points into
the window screen
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Calculations new.x = Ax + C
new.y = By + D
C = window.left – A * graph.left
D = window.bottom – B * graph.bottom
leftgraphrightgraph
leftwindowrightwindowA
..
..
bottomgraphtopgraph
bottomwindowtopwindowB
..
..
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Mapping points
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Mapping points
A = (400-40) / (2-0) = 180 B = (300-60) / (1-0) = 240 C = 40 – (180 * 0) = 40 D = 60 – (240 * 0) = 60 new.x = 180x + 40 new.y = 240y + 60
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Check figures
new.x = 180x + 40 new.y = 240y + 60
(2,1) (400,300)
(0,0) (40,60)
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JAR files
JavaTM Archive (JAR) bundle multiple files into a single archive
file. contains the class files and auxiliary
resources associated with applets and applications.
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Benefits of JAR
Security Decreased download time Compression Packaging for extensions Package Sealing Package Versioning Portability
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Creating JAR files
jar cf jar-file input-file(s) jar tf jar-file
<applet code=AppletClassName.class archive="JarFileName.jar" width=width height=height> </applet>
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Demo
http://curvebank.calstatela.edu/radiodecay/radiodecay.htm
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The End