Physics 405, Fall 2002
Last updated 10/31/03
Helpful Hints, corrections, etc.
Here is a link to the NIST
Reference on Constants, Units and Uncertainty .
You may find this useful in analyzing your data. This is the last word on how
to
properly quote uncertainties in your measurements.
Experiment I: Measurement of
the Speed of Light
- hints
on laser alignment
- Don't look through the
eyepiece unless the rotating mirror is ON.
- There is significant
backlash in the vernier - think about how to take all your data while turning
the vernier only in one direction.
Experiment II: Experimental
Atomic Spectroscopy
- Optimizing the slit widths
for the best resolution is best done with the H/D source.
- Turn the flourescent lights
off when you are making a scan to cut down on the electrical noise coming
from the lights.
- Don't forget to calibrate
the display on the microprocessor against the dial indicator on the
monochrometer. If you don't, you may run the monochrometer into either its
upper or lower limit. If this happens, contact one of the instructors
right away so it can be reset.
Experiment III: The
Franck-Hertz Experiment
- Give yourself a quick
refresher on RC circuits for oscillating signals before connecting the
electronics.
- REMOVE THE RC FILTER WHEN
YOU CALIBRATE THE 40V POWER SUPPLY!
- Allen suggests turning off
the temperature controller just before taking a scan with ACQUIRE (don't
forget to turn it back on though.).
- Simultaneously recording the Franck-Hertz tube current in channel
0 and the ramping voltage in channel 1 is tricky. The ramping power supply
is floated away from ground by the retarding voltage. I suggest measuring
from ground to the filament, this measures the sum of the retarding voltage and
the ramp voltage.
- Think hard about how to fit
the peaks, and how to "normalize" the curve to correct for the fact that the
overall current rises with the accelerating voltage.
Experiment IV: Determining
Planck's Constant
- Take a look at the plot of
intensity
vs wavelength to find the best peaks to look at.
- Give yourself a quick
refresher on RC circuits for oscillating signals before connecting the
electronics.
- You might be interested in
taking a look at this recent
measurement of Planck's constant at NIST in Gaithersburg, MD. See the
associated article (21 Sep 98) by E.R. Williams, et al., Phys. Rev.
Lett. Vol 81, (1998) 2404.
- Look at Melissinos (p. 24)
for suggestions on how to analyze the data to find the stopping voltage.
Think about this - other methods may work even better!
Experiment V: There Ain't None!
Experiment VI: Measurement of
(e/m) for the electron
- You MUST go over the
operation of the vacuum system with either Allen Monroe, Tom Baldwin, or
one of the instructors before starting the experiment! See also Appendix A
in the lab manual.
- Here's a
calibration of the Helmholtz coil from 1996, plus a plot showing the
residual
errors.
- Think about the
contribution of the earth's field to your measurement, and how you can
account for (or get rid of) it.
- See the
updated instructions for operating the
vacuum system, replaces Section III of Appendix A.
Experiment VII: Introduction to
Nuclear Spectroscopy I
- NOTE: this experiment along
with VIII and IX use a data acquisition and software package specifically
designed for nuclear spectroscopy. You should take a little time to
familiarize yourself with the program before attempting to take data.
See Appendix
C for a brief description of the program.
- For this experiment, and
also exps VIII and IX, here is a brief description on using either the
Tektronix
2245A or the digital Tektronix
TDS360 scopes.
Experiment VIII: Introduction
to Nuclear Spectroscopy II
- See the notes in exp VII
regarding data acquisition.
- You can find more and
up-to-date information about the particular nuclei you are studying at the
National Nuclear Data Center at
Brookhaven National Lab. This picture of the
56Mn->56Fe
gamma ray scheme was generated using the MIRD database. Also, take a
look at the 228Th spectrum hanging on the wall near the Exp 8 setup for
your energy calibration.
- For this experiment, and
also exps VII and IX, here is a brief description on using either the
Tektronix
2245A or the digital Tektronix
TDS360 scopes.
- Section VI (Study of the
Decay of 56Mn) is confusing. Your goal here is to (a)
calibrate the MCA with the 228Th source, (b) check the calibration
with the 60Co source, (c) measure the gamma ray spectrum of 56Mn,
and (d) attempt to construct a decay scheme from the data in your measured
spectrum. Ignore what the lab manual says about "channel 360" and
determine for yourself what gain is necessary to see the peaks in 56Mn
(up to ~3.5 MeV). When constructing your decay scheme, pretend that you
do not know the answer, and give arguments for why the scheme should be drawn
the way you drew it.
Experiment IX: Gamma-Gamma
Angular Correlation
- See the notes in exp VII
regarding data acquisition.
- Use the fast oscilloscope (Tektronix
2245A or Tektronix
TDS360) from exps VII/VIII or exp XI to check the coincidence timing!
Follow the signals all the way through the circuit to make sure the
signals going into the coincidence circuit are properly timed.
- There is a stronger 60Co
source inside the little lead can in the lead-lined box. The metal rod
(not the block) is the active area of the source. Calculate for yourself
how much stronger this source is than the one in the wooden box.
- Before you measure the
angular correlation for 60Co, it is advisable to first take the
singles spectra, sum spectra (output of the amplifier), and coincidence
spectra. Verify that there is a peak in the coincidence spectrum which
corresponds to addition of the two gammas observed in the singles spectra.
Sometimes the peak will be cut off due to too high a gain setting on the
amplifier or the photomultiplier tubes.
- The detection efficiency of
the two-detector system changes as a function of angle. This affects the
overall shape of the data. The effect can be estimated using Monte Carlo
techniques. Run the Monte Carlo Program called MC.EXE (written
by Prof. CC Chang) to see the effect. It is located in the DOS
directory of programs on the lab computers.
- You will need to fit your
data to either Legendre Polynomials, or to equation IX-1 in the lab
manual. A sample fitting program, using EXCEL, can be found at p:\p405\Analysis Tools\Excel Tools\ParaFit-mc.xls.
This is a parabolic fit with 3 parameters. The data have been entered such
that the independent variable is cos^2(theta). It's rather clumsy, but
functional.
Experiment X: The Hall Effect
in Metals
- You MUST go over the vacuum
system with either Allen Monroe, Tom Baldwin, or one of the instructors
before starting the experiment! See also Appendix A.
- You will need to take a
look at Appendix
E on sample preparation, which is not in the lab manual.
- See one of the instructors
regarding thickness measurements: there is a relatively new apparatus
donated by Dr. Webb. A manual for it can be found in this
Appendix
D.
Experiment XI: Cosmic Rays
- To get the solid angle of
the detector system, you have to do a four-dimensional integral: you can
either use Mathematica, or you can look for the nifty little pascal program
written by Prof. C.C. Chang, called INTEGRAL.EXE,
which is located on the P405 PCs in p:\p405\exp11\
.
- Figure XI-2 in the lab
manual is OK, but not quite accurate. This
one is a little better.
- Use the digital
oscilloscope (Tektronix
TDS360) to check the coincidence timing.
- BE SURE THE HV SUPPLY is
set to NEGATIVE (-)!
- Further information on the
various components of cosmic rays can be found in the Particle Data
Group's Review of
Particle Properties. Look under Astrophysics and Cosmology, then
under Cosmic Rays.