Nuclear Physics
PIRA classification 7D
Grayed Demos are either not available or haven't been built yet.  | 
7D10. Radioactivity
PIRA #  | 
  Demonstration Name  | 
  Subsets  | 
  Abstract  | 
7D10.09  | 
  radiation saftey  | 
  
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  Introduction to the handbook "Radiation Protection in Teaching Institutions" with brief presentation of urgently needed information.  | 
7D10.10  | 
  gieger counter & samples  | 
  
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  Listen to a Geiger counter when radioactive samples are tested. Place objects like paper, wood, and lead between the source and the tube to check their shielding properties.  | 
7D10.10  | 
  gieger counter & samples  | 
  
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7D10.11  | 
  sources of radioactivity  | 
  
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  Obtain radioactive ore or old radon seeds.  | 
7D10.12  | 
  radioactive plate  | 
  
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  A red "fiesta" plate is checked for radioactivity.  | 
7D10.15  | 
  coin flip half life  | 
  
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7D10.20  | 
  half life with isotope generator  | 
  
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7D10.20  | 
  half life with isotope generator  | 
  
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  Three isotope generators that can be "milked".  | 
7D10.20  | 
  half life  | 
  
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  The half life of a barium 137 sample recorded on a computer based analyzer.  | 
7D10.21  | 
  isotope generator  | 
  
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  The commercial Cs/Ba generator.  | 
7D10.21  | 
  isotope generator  | 
  
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  On the amount of the longer-lived Sn coming through the generator.  | 
7D10.21  | 
  reply to comment  | 
  
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  You idiots.  | 
7D10.25  | 
  radon in the air  | 
  
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7D10.25  | 
  radon, thoron in the air  | 
  
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  Pump air through a filter and measure the decay to get two half lives of 32 min and 10 hr.  | 
7D10.25  | 
  radon in the air half life  | 
  
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  Pump air through a filter and place the filter under a counter attached to a strip chart recorder. Reference: AJP 28(11),743.  | 
7D10.27  | 
  emanation electroscope  | 
  
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  Demonstrate thorium half life by observing the decay of an emanation electroscope.  | 
7D10.27  | 
  emanation electroscope  | 
  
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  The Welch emanation electroscope is used to demonstrate thorium half life. Reference: AJP 29(11),789.  | 
7D10.30  | 
  contamination by neutron source  | 
  
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7D10.30  | 
  contamination by neutron source  | 
  
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  A coin is placed with a neutron source on a paraffin block for a minute and then tested for radioactivity.  | 
7D10.31  | 
  buildup and decay  | 
  
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  Aluminum foil on the rim of a wheel rotates between a neutron source and beta detector.  | 
7D10.33  | 
  half life of silver  | 
  
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  Measure the half life of silver activated by a neutron source.  | 
7D10.33  | 
  half life of silver  | 
  
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  Use a neutron source and silver dollar.  | 
7D10.36  | 
  radoiactive iodine source  | 
  
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  Irradiate the sodium iodide crystal that is in the scintillation spectrometer.  | 
7D10.40  | 
  secular equilibrium  | 
  
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7D10.40  | 
  secular and transient equilibrium  | 
  
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  Water flow models of the half life of the daughter being much less and less than the parent.  | 
7D10.40  | 
  radioactive decay model  | 
  
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  Cylindrical vessels placed above each other show a hydraulic model of radioactive decay.  | 
7D10.41  | 
  secular equilibruim in series  | 
  
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  A model of a series of disintegrations with a series of capillary tubes emptying into each other.  | 
7D10.41  | 
  simultaneous decay model  | 
  
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  Water from two capillaries starting with water at different heights is collected and the results plotted.  | 
7D10.42  | 
  water flow model of decay  | 
  
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  Water drips from a capillary for equal time intervals into a series of test tubes. In another setup, the water drips through wire meshes to a counter.  | 
7D10.45  | 
  electrical analog of decay  | 
  
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7D10.47  | 
  electric analog of decay  | 
  
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  An electrical circuit allows three consecutive first-order rate reactions.  | 
7D10.47  | 
  atomic radiative decay analog  | 
  
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  The response of an electrical circuit is compared to the decay characteristics of coupled three level atomic systems.  | 
7D10.48  | 
  analog computer decay model  | 
  
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  Circuit for an analog computer does three stage nuclear chain decay.  | 
7D10.50  | 
  dice on the overhead  | 
  
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7D10.50  | 
  dice on the overhead  | 
  
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7D10.50  | 
  dice on the overhead  | 
  
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  Drill a face centered hole through each of twenty dice and roll he bunch on an overhead projector, removing the ones that light shows through.  | 
7D10.55  | 
  coin toss half life  | 
  
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7D10.60  | 
  range and absorption  | 
  
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7D10.60  | 
  range and absorption  | 
  
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  Different barriers are placed between a gamma source and a detector.  | 
7D10.60  | 
  nuclear shielding  | 
  
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  Cardboard, aluminum, and lead sheets shield a detector.  | 
7D10.61  | 
  beta and gamma ray absorption  | 
  
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  A set of absorbers for showing alpha, beta, and gamma absorption.  | 
7D10.65  | 
  exponential absorption model  | 
  
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  A series of neutral density filters are added to a light and photocell arrangement to model absorption.  | 
7D10.70  | 
  range of alpha particles  | 
  
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  Bring an alpha source near a grid and plate connected to an electroscope.  | 
7D10.75  | 
  scattering of alpha particles  | 
  
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  A thin metal foil placed between an alpha source and a detector shows the intensity of scattering dependent on angle.  | 
7D10.80  | 
  cosmic rays  | 
  
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7D10.80  | 
  cosmic rays  | 
  
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  Scintillator paddles are placed on each side of a person and simultaneous events indicate cosmic ray muons passing through the body.  | 
7D20. Nuclear Reactions
PIRA #  | 
  Demonstration Name  | 
  Subsets  | 
  Abstract  | 
7D20.00  | 
  Nuclear Reactions  | 
  
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7D20.10  | 
  mousetraps  | 
  
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7D20.10  | 
  mousetraps  | 
  
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  56 mousetraps in a cage are each set with two corks.  | 
7D20.10  | 
  mousetrap chain reaction  | 
  
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  A large number of mousetraps set with two corks each in a large cage.  | 
7D20.10  | 
  mousetrap chain reaction  | 
  
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  Ping pong balls on mousetraps.  | 
7D20.11  | 
  better mousetrap  | 
  
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  An electronic mousetrap array that can be used as a single event "bomb" or a continuous self-sustaining nuclear reaction.  | 
7D20.11  | 
  mousetrap improvments  | 
  
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  Attach groups of six mousetraps to a hardwood block. The spacing between the blocks can be varied to produce subcritical, critical, or supercritical assemblies. Place two wood blocks on each trap.  | 
7D20.12  | 
  nuclear-disintegration model  | 
  
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  A ball rolls down an incline and hits a group of balls in a small potential well.  | 
7D20.15  | 
  match chain reactions  | 
  
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7D20.15  | 
  match chain reactions  | 
  
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7D20.15  | 
  match chain reaction  | 
  
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  Matches are spaced differently in two perpendicular rows. Light the match at the junction and the entire row with the smaller spacing ignites.  | 
7D20.20  | 
  dominoes chain reaction  | 
  
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7D20.20  | 
  dominoes chain reaction  | 
  
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  Knock down a row of dominoes of ever increasing size.  | 
7D20.20  | 
  domino "chain reaction"  | 
  
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  A whisp of cotton knocks over a small domino starting a chain reaction in which each succeeding domino is 1 1/2 times larger in all dimensions.  | 
7D20.30  | 
  uranium model  | 
  
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  A sphere contains internal mechanisms to eject two balls (electrons) after a ball is dropped in (thermal neutron.) Pictures, Construction details in appendix, p. 1378.  | 
7D20.31  | 
  U235 fission model  | 
  
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  A wooden sphere flies apart and ejects two wood balls and an iron sphere when an iron sphere is dropped in. Pictures, Construction details in appendix, p. 1380.  | 
7D20.35  | 
  fission model - liquid drop  | 
  
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  Probe a motor oil drop in alcohol/water to induce "fission".  | 
7D20.40  | 
  moderation of fast neutrons  | 
  
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  The moderation of fast neutrons in paraffin yields both fast and thermal neutrons shown by shielding the boron counter with a Cd sheet and detecting thermal neutrons from a second paraffin block.  | 
7D20.41  | 
  water model xenon poisoning reactor  | 
  
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  A water flow model of the behavior of a thermal neutron reactor with xenon poisoning.  | 
7D20.60  | 
  resonance absorption of gamma rays  | 
  
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  Model of resonance absorption of gamma rays consists of an electromagnetically driven tuning fork and audio oscillator.  | 
7D20.90  | 
  nuclear explosion effects  | 
  
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  An introductory level summary of the physics of a nuclear bomb explosion and the effects on humans.  | 
7D30. Particle Detectors
PIRA #  | 
  Demonstration Name  | 
  Subsets  | 
  Abstract  | 
7D30.05  | 
  Ludlum Detectors  | 
  
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7D30.05  | 
  Ludlum Detectors  | 
  
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  Ludlum hand held alpha, beta, and gamma detectors are used with a variety of sources.  | 
7D30.05  | 
  survey meters  | 
  
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  Alpha, beta, and gamma survey meter and slow neutron monitor.  | 
7D30.06  | 
  GM tube to Apple circuit  | 
  
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  A simple complete circuit for biasing a GM tube, pulse shaping, and interfacing to an Apple computer.  | 
7D30.08  | 
  Poisson destribution of counts  | 
  
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  An electronic circuit provides output pulses when the time interval between pulses is of the preset value. Show the difference between inputs from a scintillation detector and Geiger counter.  | 
7D30.10  | 
  nixie Geiger counter  | 
  
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7D30.10  | 
  nixie geiger counter  | 
  
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  A Geiger tube in a lead brick is used with a nixie tube counter.  | 
7D30.10  | 
  geiger counter  | 
  
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  A Geiger tube in a lead block is attached to a nixie tube counter.  | 
7D30.11  | 
  Geiger-Muller tube  | 
  
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  Make a simple tube with a wire down the middle at low pressure. Includes circuits for counters.  | 
7D30.12  | 
  Geiger point counter  | 
  
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  A Geiger point counter made with an ordinary steel phonograph needle.  | 
7D30.13  | 
  water-jet counter  | 
  
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  A fine water jet impinging on a rubber diaphragm is controlled by a metal electrode.  | 
7D30.14  | 
  ionizaton avalanche model  | 
  
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  Rows of balls held on an inclined plank at intervals by wires from an avalanche starting with one ball as more balls are knocked out in each interval.  | 
7D30.15  | 
  thermal neutron detector  | 
  
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7D30.15  | 
  thermal neutron detector  | 
  
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  A UO2 detector for fission produced thermal neutrons.  | 
7D30.16  | 
  neutron howitzer  | 
  
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  A 55 gal drum filled with paraffin.  | 
7D30.16  | 
  neutron howitzer  | 
  
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  A 2 curie neutron source is used with a BF3 detector.  | 
7D30.20  | 
  alpha detector  | 
  
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7D30.20  | 
  alpha detector  | 
  
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  The Cenco alpha detector with a high voltage bias between a plate and a wire grid.  | 
7D30.20  | 
  Cenco alpha detector review  | 
  
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  Long review of the Cenco alpha counter originally developed by Harold Waage.  | 
7D30.20  | 
  grid alpha detector  | 
  
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  A grid over a plate is biased just below sparking and an alpha source is brought near. Cenco photo.  | 
7D30.21  | 
  simple alpha detector  | 
  
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  Directions on making a simple homemade single wire spark counter.  | 
7D30.22  | 
  Si photodiode alpha detector  | 
  
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  Use a Si photodiode as a alpha detector. A charge sensitive preamp design is included.  | 
7D30.25  | 
  spark chamber  | 
  
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7D30.25  | 
  spark chambers  | 
  
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  Plans for two types of spark chambers: multiplate and "curtain discharge".  | 
7D30.25  | 
  spark chamber  | 
  
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  Construction details, driver and power supply circuits for a small spark chamber.  | 
7D30.25  | 
  spark chamber  | 
  
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  A small spark chamber is shown. Pictures, Construction details in appendix, p.1390, Reference: AJP 31(8),571.  | 
7D30.28  | 
  ionization chamber  | 
  
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  A simple parallel plate ionization chamber built in an aluminum roasting chamber with a sensitive volume of 75 cubic inches.  | 
7D30.30  | 
  magnetic deflection of beta rays  | 
  
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  A magnet is used to bend electrons from a beta source past a shield to a detector.  | 
7D30.31  | 
  beta spectrometer  | 
  
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  A qualitative beta spectrometer for use as a lecture demonstration. Pictures, Diagrams, Construction details in appendix, p. 1370.  | 
7D30.32  | 
  demonstration beta spectrometer  | 
  
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  A small beta spectrometer with a 4" face.  | 
7D30.40  | 
  film detection  | 
  
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  Several samples are placed on a large sheet of film overnight and the film is developed the next day showing which are radioactive.  | 
7D30.41  | 
  film detection  | 
  
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  On using Polaroid land sheet film packets as a detector for radiation experiments and demonstrations.  | 
7D30.50  | 
  Wilson cloud chamber  | 
  
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7D30.50  | 
  Wilson cloud chamber  | 
  
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  Squeeze the rubber bulb of the Wilson cloud chamber and watch tracks from an alpha source.  | 
7D30.50  | 
  Wilson cloud chamber  | 
  
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  The Knipp type chamber with a rubber bulb and alpha source.  | 
7D30.51  | 
  Wilson cloud chamber  | 
  
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  An expansion cloud chamber mounted in a lantern projector.  | 
7D30.55  | 
  cycling Wilson cloud chamber  | 
  
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  An automatically cycling Wilson cloud chamber. Pictures, Construction details in appendix, p.1382, Reference: AJP 18(3),149.  | 
7D30.60  | 
  diffusion cloud chambers  | 
  
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  Dry ice diffusion cloud chambers.  | 
7D30.60  | 
  pira200  | 
  Use dry ice to create a cloud chamber.  | 
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7D30.60  | 
  cloud chamber accessories  | 
  
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  Drawings of a lamp housing and chamber housing.  | 
7D30.60  | 
  small cloud chamber  | 
  
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  A 10x10x10 cm plexiglass cube cloud chamber suitable for TV projection.  | 
7D30.60  | 
  small cloud chamber  | 
  
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  A transparent plastic refrigerator jar on a cake of dry ice serves as a small continuous cloud chamber.  | 
7D30.60  | 
  simple diffusion cloud chamber  | 
  
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  Using cheap parts to make a dry ice cloud chamber.  | 
7D30.60  | 
  diffusion cloud chamber  | 
  
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  A large chamber supersaturated with alcohol vapor is cooled with an alcohol/dry ice bath at the bottom.  | 
7D30.60  | 
  large cloud chamber  | 
  
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  A large alcohol/dry ice cloud chamber is shown. Pictures.  | 
7D30.60  | 
  continuous cloud chamber  | 
  
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  Alcohol in a jar placed on dry ice makes a cheap cloud chamber.  | 
7D30.60  | 
  cloud chambers  | 
  
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  Dry ice diffusion cloud chambers.  | 
7D30.62  | 
  cloud chamber  | 
  
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  A fancier dry ice and alcohol cloud chamber.  | 
7D30.63  | 
  LN2 cooled diffusion cloud chamber  | 
  
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  The design of a LN2 cooled diffusion cloud chamber with increased sensitivity and quick startup.  | 
7D30.64  | 
  cloud chamber - vacuum jacket  | 
  
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  Design for a vacuum jacket that increases the sensitive area of the chamber.  | 
7D30.65  | 
  glycol cloud chamber  | 
  
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  A glycol cloud chamber is heated at the top and cooled with running water at the bottom.  | 
7D30.68  | 
  photographing tracks  | 
  
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  Black dye (Nigrosin) in methanol provides a dark nonreflective background, other hints.  | 
7D30.69  | 
  cloud chamber principles  | 
  
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  Place a spark gap in the steam coming from a teakettle.  | 
7D30.70  | 
  model cyclotron  | 
  
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  A conical pendulum is accelerated by periodic electrical forces four times per revolution to model the motion of a charged particle in an isochronous cyclotron with four 90 degree Dees.  | 
7D30.70  | 
  model cyclotron  | 
  
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  A Ball is gravitationally accelerated along a spiral grove in an apparatus designed to demonstrate the principles of acceleration and phase stability in a cyclotron.  | 
7D30.70  | 
  model cyclotron  | 
  
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7D30.70  | 
  model cyclotron  | 
  
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7D30.71  | 
  linear accelerator - sand model  | 
  
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  A Wimshurst charges a model linear accelerator that shoots sand out one end.  | 
7D30.75  | 
  particle focusing in accelerator  | 
  
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  Inverted pendulum model of focusing in a particle accelerator.  | 
7D30.78  | 
  model synchrotron  | 
  
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  A steel ball bounces on an oscillating piston with concave surface to provide focusing. At constant amplitude, the ball bounces lower when the period is decreased.  | 
7D30.80  | 
  bubble chamber photographs  | 
  
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7D30.80  | 
  bubble chamber photographs  | 
  
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  Welch. Two slide sets taken at the 20" in chamber at the Brookhaven National Laboratory.  | 
7D30.80  | 
  bubble chamber photographs  | 
  
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  Pictures and analysis of bubble chamber pictures.  | 
7D30.80  | 
  bubble chamber tracks  | 
  
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  Determination of the rest mass of a hyperon particle from bubble chamber pictures. Pictures.  | 
7D30.90  | 
  mass spectrometer  | 
  
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  Apparatus Drawings Project No. 7: A mass spectrometer for undergraduate lab with a resolving power of 75.  | 
7D30.90  | 
  mass spectrometer  | 
  
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  Apparatus Drawings Project No. 5: Small Mass Spectrometer. Construction plans for a small radius 180 degree mass spectrometer with a salt coated tungsten filament, 1K gauss, 100V, resolving power 33.  | 
7D30.91  | 
  model linear accelerator  | 
  
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  A ping pong ball is accelerated in a Plexiglas tube when a series of ring electrodes are charged by a Wimshurst  | 
7D30.95  | 
  pair production and annihilation  | 
  
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  A pair of scintillation counters face each other across an electron beam interrupted by a card with the appropriate equipment to detect coincidences.  | 
7D30.96  | 
  coincidence counters for cosmic rays  | 
  
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  A circuit with two Geiger-Muler tubes.  | 
7D40. Nuclear Magnetic Resonance (NMR)
PIRA #  | 
  Demonstration Name  | 
  Subsets  | 
  Abstract  | 
7D40.00  | 
  NMR  | 
  
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7D40.10  | 
  NMR gyro model  | 
  
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7D40.10  | 
  NMR - gyroscope model  | 
  
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  A modified gyroscope model of NMR. Diagram, References, AJP 29(10),709.  | 
7D40.11  | 
  NMR - gyroscope model  | 
  
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  A gyroscope with a permanent magnet is placed on like poles of an electromagnet.  | 
7D40.12  | 
  NMR - gyroscope model  | 
  
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  A gyroscope model designed to show the magnetic transitions when the field and Larmor frequency are identical.  | 
7D40.13  | 
  NMR - Maxwell top model  | 
  
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  The top post of the Maxwell top is constrained by rubber bands attached to a frame to demonstrate the "flopping" of the magnetic moment vector which increases or decreases the precession angle.  | 
7D40.13  | 
  Larmor precession model  | 
  
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  A spinning gyro over an electromagnet demonstrates Larmor precession. Diagram, Picture, Construction details in appendix, p.1392.  | 
7D40.15  | 
  magnetic resonance  | 
  
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  A small magnet suspended driven with Helmholtz coils will oscillate at a particular frequency, but at a different frequency if a static field is applied at right angles.  | 
7D40.16  | 
  Larmor precession  | 
  
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  A bicycle wheel gyro used to show Larmor precession.  | 
7D40.20  | 
  NMR - air bearing gyro model  | 
  
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  An air bearing gyro with Alnico magnet in the ball and Helmholtz coils.  | 
7D40.20  | 
  air gyro in Helmholtz coils  | 
  
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  NMR principles are demonstrated with an air gyro mounted between Helmholtz coils. Diagrams, Reference: AJP 33(4),322.  | 
7D40.22  | 
  Magnetic top in Helmholtz coils  | 
  
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  An air driven magnetic top mounted between Helmholtz coils demonstrates spinning dipole interaction with external fields. Pictures, Construction details in appendix, p. 1393.  | 
7D40.30  | 
  spin echo spectrometer  | 
  
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7D40.30  | 
  spin echo spectrometer  | 
  
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  Design and construction of a simple pulsed NMR spectrometer, used first in a high school physics class.  | 
7D40.30  | 
  spin echo instrument  | 
  
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  Four demonstrations with a simplified spin echo instrument.  | 
7D40.31  | 
  NMR "grid dip" method with cobalt  | 
  
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  A bottle of powdered cobalt, a grid current meter, and a tuned oscillator show a small dip in grid current at resonance.  | 
7D40.40  | 
  NMR with fixed field  | 
  
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  Block diagram of a method to demonstrate NMR in a fixed field by sweeping and modulating the frequency.  | 
7D40.40  | 
  magnetic resonance demonstration  | 
  
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  A description of a simple and inexpensive demonstration model of pulsed magnetic resonance effects.  | 
7D40.40  | 
  simple NMR spectrometer  | 
  
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  Circuits for a simple NMR spectrometer.  | 
7D50. Models of the Nucleus
PIRA #  | 
  Demonstration Name  | 
  Subsets  | 
  Abstract  | 
7D50.00  | 
  Models of the Nucleus  | 
  
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7D50.10  | 
  Rutherford scattering  | 
  
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7D50.10  | 
  Rutherford scattering  | 
  
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  Balls roll down a ramp onto a potential surface to model Rutherford scattering.  | 
7D50.10  | 
  scattering surface with analyzer  | 
  
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  Balls roll down an incline onto a scattering surface. Eighteen pockets ring the surface.  | 
7D50.11  | 
  Rutherford scattering on the OH  | 
  
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  Ink dipped balls are rolled down an incline toward a clear plastic potential hill on an overhead projector stage.  | 
7D50.12  | 
  alpha particle scattering model  | 
  
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  A magnet pendulum is repulsed by the pole of a vertical electromagnet. Orbits can be demonstrated in the attracting case.  | 
7D50.13  | 
  Rutherford pendulum  | 
  
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  An electromagnet pendulum suspended from an aluminum rod swings by an electromagnet on the table.  | 
7D50.14  | 
  Rutherford scattering on table  | 
  
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  A dry ice puck with a vertically mounted magnet is placed on a glass plate with a second vertically oriented magnet just underneath to give an inverse square force.  | 
7D50.15  | 
  alpha particle scattering model  | 
  
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  A ping pong ball pendulum is suspended above a Van de Graaff generator.  | 
7D50.16  | 
  "Welch" scattering apparatus  | 
  
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  On using the "Welch" ball bearing scattering apparatus to model the conditions of an experiment in nuclear physics as far as possible.  | 
7D50.19  | 
  alpha scattering  | 
  
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  Apparatus Drawings Project No. 16: Simple Rutherford scattering using an annular ring of scattering material. The distance from the ring to the detector is varied giving scattering angles from 28 to 71 degrees.  | 
7D50.19  | 
  Rutherford scattering  | 
  
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  Take data for thirty minutes as a lecture demonstration.  | 
7D50.20  | 
  Rutherford scattering animation  | 
  
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7D50.20  | 
  Rutherford scattering animation  | 
  
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  An animation of alpha particle scattering.  | 
7D50.30  | 
  Thompson model  | 
  
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7D50.30  | 
  Thompson model of the atom  | 
  
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  Vertical needle magnets stuck in corks float in a pan of water surrounded by a coil on the overhead projector.  | 
7D50.30  | 
  the Thompson model  | 
  
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  Looks like it might be the vertical magnets in a coil apparatus. Reference: H.E.White, Modern College Physics, 5th ed., p 452.  | 
7D50.35  | 
  Thompson vs. Rutherford model  | 
  
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  An apparatus to randomly shoot steel balls at models of the Thompson or Rutherford atom.  | 
7D50.40  | 
  1/r surface model of nucleus  | 
  
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  A Lucite 1/r surface with a well and accelerating ramp for ball bearings is used to show repulsion, capture, and ejection. Picture, Construction details in appendix., p.1372.  | 
7D50.42  | 
  short range/long range surface  | 
  
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  Deform a rubber sheet by boiling water in a test tube and holding it against the rubber sheet so it gets sucked down, then lift the test tube to make a potential barrier.  | 
7D50.45  | 
  electron falls into nucleus  | 
  
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  A ball rolling in a funnel falls into the middle.  | 
7D50.46  | 
  mass defect  | 
  
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7D50.46  | 
  mass defect  | 
  
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7D50.65  | 
  chemical heart nucleus model  | 
  
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  The chemical heart vibrates in various modes giving a crude model of a nucleus. Recipe included.  | 
7D50.65  | 
  mercury ameoba model of the nucleus  | 
  
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  The mercury amoeba is used to demonstrate vibratory motion analogous to oscillations of an excited nucleus. Reference: AJP 28(6),561.  | 
7D50.90  | 
  scattering x-rays by paraffin  | 
  
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  A paraffin block is inserted to scatter x-rays into a Geiger counter.  |