The Mossbauer
Effect
The Mossbauer Effect is the physics foundation
of the experiment considered here. The Mossbauer Effect is significant
in that it allows for high sensitivity measurements of energy deviations
on the order of one part in 10^13. Before a discussion of the experiment
begins, it is important to understand what the Mossbauer Effect is.
First consider resonance radiation.
Resonance radiation occurs when radiation from an 'emitter', a source emitting
radiation through transition from state a to state b
, is incident on an 'absorber' in state a, that will in turn be excited into
state b by the incident radiation.
What about conservation of Energy??
Resonance radiation is not as ideal as it sounds. When a nucleus
emits a photon, it will recoil with some momentum in compliance with conservation
laws. Conservation of energy then gives us that the energy coming from
the emitter must be equal to the transition radiation minus the recoil energy.
The absorber is also regulated by conservation laws. It will
have a recoil energy of it's own, and to transition to the final state it
must have the full transition energy, no longer given by the emitter when
you take into recoil energy into account.
What happens if you have a very small Recoil Energy?
This is the question that Mossbauer asked. If there was a way
to have Resonance radiation with a very small recoil energy, therefore a
very small linewidth...extremely sensitive measurements in energy differences
would be possible. Absorption of resonance would be confined to the
strict criteria mentioned above...the energy spread would be tiny. Measurements
of small energy fluctuations would be possible.
Mossbauer recognized that a crystal lattice can be excited
with excitations called phonons. Phonons have a given momentum and
Energy with a minimum energy given by E=(Boltzman constant)(Debye Temperature).
(For more information about phonons
CLICK HERE
) A phonon will not occur when the recoil
energy (as determined by a free particle) is less than the minimum energy
given above. When this happens a gamma ray is emitted with an essentially
recoiless emission.
THE EXPERIMENT
This experiment will measure the energy splitting of the 14.4keV
state of Fe57 from the
hyperfine
structure effect. Hyperfine structure is a direct result
of the
Zeeman
Effect. These are very small energy differences
that were only speculated to exist in certain materials. The Mossbauer
effect enabled the measurement of these structures, and will enable you to
measure them as well.
In this experiment a Cobalt 57 source decays via
electron capture
into Fe57...resulting in a source dubbed FeCo.
FeCo is Ferromagnetic and is not sensitive to hyperfine splitting.
FeCo is used as the emitter in this experiment. The absorber
will vary. You will test steel, nothing and Fe57. The interesting
result is what you see when you use Fe57 as the absorber. Standing
still, Fe57 will not absorb the 14.4keV energy from FeCo. But if you
create tiny shifts in energy, Fe57 will absorb from the FeCo source....as
the tiny shifts in energies reach the levels of the hyperfine splitting.
The energy shifts are provided by the
Doppler shift
. Your Absorber will be attached to a
moving device connected to a Constant Acceleration Drive that moves between
7mm/s and -7mm/s. The Doppler shifted energy is small, and you will
see absorption at 6 points within the 7mm/s to -7 mm/s range. These
peaks correspond to the split levels. You will be able to determine
B field, magnetic moment from these peaks...If you need help...ask
Rob Jorstad
. I did! Anyhow, you will want
to keep in mind selection rules for these type of processes. (
Selection Rules
)
Links directly related to this Experiment: (there is a wealth of
knowledge out there regarding this/and variations of this experiment)
Background
Information for the Mossbauer Effect used with Fe57
More
Information regarding this experiment using Fe57 with helpful diagrams
Good Information
, but they use Ir191 not Co57.
Interesting Links:
Time Dilation was proved using the Mossbauer Effect via Thermal Motion: Check
it out...
TIME
Mossbauer's actual
1961
publication on the Mossbauer Effect
PROOF
that people actually use this stuff outside of Senior Lab
Non-Interesting Links:
Why Mossbauer Effect became a
student's
laboratory
THE BEST LINK DIRECTLY RELATED TO THIS EXPERIMENT IS: