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9. Relativistic Dynamics

Measurement of the velocity-momentum-energy relations of relativistic electrons and determination of e/m. Energetic electrons from the beta decay of 90SR and its decay product 90Y are sorted according to momentum by a 180 degree magnetic spectrograph, passed through a velocity selector, and detected by a PIN diode detector.

Plots of momentum and energy vs. velocity are compared with the theoretical relations of classical and relativistic dynamics, and the value of the ratio e/m is derived from the data.

Student Wiki: Relativistic Dynamics

Download Lab Guide in PDF format

References (certificates required)

  1. Thomson, J.J., "Cathode Rays", Phil. Mag. S. Vol. 44, Oct, 1897
  2. Segre, E., "Radioactive Decay", Experimental Nuclear Physics, Vol. I, pp. 1-39
  3. Serge, E., "Sec 2.1B-D: Passage of Heavy Particles through Matter", Experimental Nuclear Physics, Vol. I., pp.231-252
  4. Evans, "Chapter 17: Beta-Ray Spectra", Atomic Nucleus, pp. 536-566
  5. Bleuler, Ernst and Goldsmith, G.J., "Exp 19: Range and Energy Loss of Alpha Particles; Exp 23: Radiations of Cu(64) (Zn(65))", Experimental Nucleonics, pp. 275-282, and 3341-354
  6. Ritson, D.M., "Ch 1: General Properties of Particles and Radiation", Techniques of High Energy Physics, p. 1-53
  7. England, "Sec 4.2: Magnetic spectrometers for beta particles and electrons", Techniques in Nuclear Structure Physics, Vol. 2, pp. 349-383
  8. Evans, "Chapter 26: Statistical Fluctuations in Nuclear Processes", Atomic Nucleus, pp. 746-772

Selected Resources

  1. Ba-133 Decay Chart - Reprinted from Table of Isotopes 7th Edition, QD 466 L 473 (1978)
  2. Stopping Power and Range Tables for Electrons
  3. J. W. Clark, "A New Method for Obtaining a Uniform Magnetic Field", Rev. Sci. Inst., 9, pp. 320-322, (1938)
  4. Edward M. Purcell "Electric Conduction in a Magnetic Field: The Hall Effect", Electricity and Magnetism: 2nd Edition, pp. 241-245, (1985)
  5. Edward M. Purcell "Exact Relations Among SI and CGS Units", Electricity and Magnetism: 2nd Edition, pp. 473-475, (1985)


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