9717

Geiger Counter with Dead Time

In this Demonstration, the left-hand side shows a probe of radioactive material that randomly emits beta particles in accordance with Poisson statistics, with exponentially distributed inter-event times. These events are detected by the counter displayed in the lower middle part. The Geiger counter on the right records the emitted particles. The ability of the Geiger counter to resolve subsequently arriving particles is limited by its dead time, which can be varied from 0 to some maximal value by the corresponding slider. Depending on their respective dead-time characteristics, one distinguishes between non-paralyzable ("type I") and paralyzable ("type II") counters. Type I counters get blocked and are insensitive to new events during a time period (their dead time) after each registered event. Type II counters, on the other hand, remain blocked during their dead time after each arriving particle, regardless of whether or not the event was registered. In the Demonstration, the green light indicates that the Geiger counter is ready for registering particles, while the red light signals that the counter is blocked. To expedite the comparison between the different counter types and values of the dead time, the random sequence of particles from the source is kept fixed; it can, however, be changed by the option "refresh probe statistics".

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

[1] J. Ackermann and H. Hogreve, "Small Dead-Time Expansion in Counting Distributions and Moments," Nuclear Instruments and Methods in Physics Research, A 614(2), 2010 pp. 297–302.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+