The model FN Tandem
Van de Graaff accelerator of the Nuclear Structure Laboratory
at the University of Notre Dame has been in service since
its installation in 1968. Originally, it was capable of
producing accelerated positive ion beams and accelerated
electron beams, but it was modified in the middle 1970s
to remove the electron beam capabilities, and has been
used exclusively for positive ion beam acceleration since
that time.

The fundamental
principles of the FN Tandem accelerator are straightforward.
A centralized metal electrode, known as the terminal or
spinning, is charged to a very high positive potential.
A negatively charged ion beam, produced by ion sources external
to the accelerator, is transported in vacuum toward the
terminal, accelerating to high energy as it approaches the
terminal. As the beam enters the region which houses the
terminal, it passes through a thin carbon foil which strips
electrons from the ions in the beam, leaving the beam positively
charged. This positively charged beam accelerates away from
the high positive potential at the terminal, and exits the
accelerator at very high energy. The name "Tandem" arises
from the two accelerations (one before stripping and one
after) that the ion beam experiences.
The FN Tandem
accelerator is housed within a large (40 ft long, 12 ft
diameter ) steel tank, seen in the photograph above, that
serves to isolate the high voltage surfaces of the accelerator
electrodes from the outside world. Additionally, the tank
is filled to high pressure with a special insulating gas,
which helps to prevent electrical discharging of the high
voltage surfaces within the accelerator.
The structures
within the tank which support the terminal electrode are
referred to as "columns". The low energy (LE) column extends
from the tank base nearest the ion source to the center
of the terminal region, and the high energy (HE) column
extends from the terminal region to the tank base opposite
the ion sources. These columns are composed of a series
of metal planes, with each plane electrically isolated from
the next by 4 glass blocks, which are glued to each plane.
There are approximately 200 such planes in each of the LE
and HE columns. A very large spring inside the HE tank base
compresses both columns with tremendous force, holding the
columns and the terminal region suspended within the tank.

The evacuated
acceleration tubes through which the beam passes are mounted
along one side of the column structure, as can be seen in
the photograph at left, which shows a small section of the
column and one of the acceleration tubes, viewed from the
side. Some hardware has been removed to make the column
and tube visible. There are four separate acceleration tubes
within the FN Tandem, each measuring approximately 8 ft
long and 8 inches in diameter, mounted end to end with metal
bellows connections. The tubes are constructed of 1 inch
long sections glued together, with each section being comprised
of a hollow cylindrical glass section glued to a "dish shaped"
metal electrode. These electrodes contain central apertures
through which the beam passes. The tubes are mounted along
the columns so that the electrodes in the tubes are directly
opposite the metal planes in the columns. The acceleration
tubes are mounted so that they are electrically isolated
from the columns, but each electrode in each tube is electrically
connected to the corresponding plane in the column. The
dark color along the acceleration tube is due to the radiation
the tube is exposed to while the beam is being accelerated.
Also notice the many "acorn nut" fixtures attached to each
of the metal electrodes in the accelerating tubes. These
are used to form spark gaps, so that if a sudden electrical
discharge occurs, the sparks will form across these spark
gaps, rather than through the glass in the column or the
tube, which otherwise could be seriously damaged.
In the
fall of 2000, the system for charging the terminal of the
FN Tandem accelerator was upgraded from the original belt
charging system to a "Pelletron chain" charging system,
supplied by the National
Electrostatics Company, Inc. (NEC). This robust charging
system is in use in many currently operating accelerators,
and allows for a very reliable and stable charging of the
terminal electrode. The system consists of a chain formed
by tubular metal links connected to each other with nylon
inter-connectors, so that each link in the chain is electrically
isolated from the next link. The chain is mounted along
the side of the column, and extends from the tank base to
the terminal. In the FN Tandem accelerator, there are two
completely separate chain systems, one along the LE column
and one along the HE column.

The chain
travels through the accelerator at a speed of approximately
40 mph, driven by a motor and pulley arrangement at the
tank base end. The links are charged by induction as they
pass near special metal electrodes maintained at high voltage
(variable, up to 60 kV). As the chain moves, each positively
charged link travels to the terminal where the charge on
each link travels through the chain pulley to the terminal
electrode. As the chain leaves the terminal region to travel
back to the tank base, it is again charged by induction,
although the charge is now negative. This allows both the
up and down runs of the chain to contribute to the charging
of the terminal. For a more detailed explanation of the
principles of the pelletron, please see the excellent description
by NEC at http://www.pelletron.com/charging.htm.

To insure
uniform acceleration of the ion beam as it passes through
the FN Tandem, it is necessary to control the electric potential
within the accelerator, which varies from ground potential
at the LE and HE tank bases to as much as 10 MV at the terminal.
A uniform gradient is required, and this is accomplished
by connecting resistors between each plane in both columns,
so that each column acts as a voltage divider circuit to
ground. In our case, a pair of 300 Megohm resistors are
connected in series between each plane, so that the total
resistance across the gap between each plane is 600 Megohms.
In this photograph, which is a view of the column from above,
the resistor mounts are visible. Each resistor is a small
ceramic core with a thin film coating, about the size of
a common pencil. Each resistor is housed in an aluminum
tube, to shield the resistors. Since the resistance across
each gap in the column is the same, the voltage varies linearly
from ground to terminal voltage across the length of each
column, producing a constant gradient suitable for accelerating
the ion beam. Therefore, when the terminal is at voltage,
current flowing through the column resistors biases each
of the column planes, which in turn bias each electrode
in the acceleration tubes, so that the constant gradient
field is present within the acceleration tubes.

In the
photograph, students are completing the re-assembly of the
column structure by replacing the tubular stainless steel
hoops which surround each column plane, also encircling
the acceleration tubes, and act to preserve the equipotential
nature of the field at each column plane. The temporary
lights above and the floorboards below are removed when
the accelerator is in operation.
Successful
operation of the accelerator for experiments in nuclear
physics requires that the terminal voltage remain very constant
and stable over long periods of time. Equilibrium must be
established between the charge brought to the terminal by
the pelletron chains and that which flows from the terminal
to ground through the column resistors. Also, small irregularities
in the links of the pelletron chain will tend to cause variations
in the charge delivered to the terminal, and this must be
compensated for. This is done through the use of corona
points, a collection of a dozen or so very sharp metal needles
attached to the end of a moveable arm. The arm containing
the corona point assembly is mounted to the tank wall directly
opposite the terminal, so that the points can be extended
toward or extracted away from the terminal. During accelerator
operation, the corona points are moved close enough to the
terminal so that a coronal discharge begins at the points,
and this discharge causes charge to flow from the terminal
through the corona points. A variable resistor within the
electrical circuitry connected to the corona points is adjusted
to increase or decrease the charge extracted from the terminal
so that a constant terminal voltage is maintained.
The terminal
voltage is continuously measured in real time with a device
known as a generating volt meter (GVM), which is mounted
in the tank wall directly opposite the terminal. The GVM
has a set of stationary metal vanes mounted behind a set
of rotating metal vanes. When the accelerator is operating,
the GVM is exposed to the electric field at the location
of the terminal, and the capacitance of the GVM varies as
the rotating vanes alternately cover and then expose the
stationary metal vanes to the electric field. This measurement
from the GVM can be then be used to determine the terminal
voltage. Two devices known as capacitive pick-off
(CPO) units are mounted 180° apart in the tank wall
near the terminal. These devices measure any variation in
the capacitance due to motion of the terminal, and the signal
from these CPO units is used to correct the GVM signal for
any terminal motion (FN
charging schematic).
Maintaining a constant, stable
terminal voltage is absolutely essentially for nearly every
experiment performed with the FN Tandem accelerator. As
discussed above, the variable resistance in the corona points
assembly is continuously adjusted to control the corona
current so that a constant terminal voltage is maintained.
The signal used to adjust the variable resistance in the
corona points assembly is provided by the stabilizer circuit,
and is generated in one of two ways. When the stabilizer
circuit is set to GVM Mode, the output of the GVM is compared
to a reference which is set by the experimenter to the desired
terminal voltage. The error signal created from the difference
between the reference and GVM signals is then used to adjust
the variable resistance in the corona points assembly, which
causes the terminal voltage to change until the reference
and the GVM signals agree.
When the stabilizer
is set to Slit Mode, an error signal is generated by a set
of slits located at the exit of the 90° analyzing magnet,
which is downstream from the accelerator. The slits are
set symmetrically within the beam line, with one slit on
either side of the beam. The magnetic field in the analyzing
magnet is adjusted to allow only that beam with the energy
selected by the experimenter to complete the 90° bend.
When the magnetic field in the analyzing magnet is correctly
adjusted, the beam will pass through the center of the gap
between the slits. The slits are set to intercept a small
amount of beam from the outer edges of the beam envelope,
and so a well centered beam will strike both slits equally,
so that the same amount of charge is deposited on each slit.
However, if the beam energy varies slightly due to variations
in the terminal voltage, then the beam will not have the
correct energy to traverse the 90° bend, and more beam
will strike one of the analyzing slits than the other. An
error signal is generated based on the difference in the
slit current readings, and this signal is then used to adjust
the variable resistance in the corona points assembly.
The FN Tandem
accelerator requires external ion sources to produce negatively
charged ion beams. These ion beams are typically singly
charged, with each ion containing one extra electron. These
negatively charged beams are produced by ion sources which
are maintained at large negative potentials, so that the
ion beam energy as it enters the FN Tandem accelerator is
typically 40 keV for helium beams and 80 keV for other ion
beams. The beam accelerates through the evacuated acceleration
tubes toward the central terminal electrode in the FN Tandem,
which is maintained at a large positive potential determined
by the experimenter. The energy of the beam at the terminal
is then approximately T MeV,
where T
is the terminal voltage in MV. As the ion beam reaches the
terminal, it enters a region known as the "stripper", where
a very thin (approximately 3 micrograms/cm2 )
carbon foil is housed in the acceleration tube assembly.
The ion beam passes through this stripper foil, and interactions
between the atoms in the foil and the beam strip electrons
from the ions in the beam. The number of electrons stripped
from the ions in the beam varies with the beam energy, and
there is usually some distribution of positive charge states
present in the ion beam exiting the stripper region. The
resulting ion beam, which is now positively charged, accelerates
away from the large positive potential at the terminal electrode
toward the far end of the accelerator. The final energy
of the beam is then T + QT MeV, where again T is the terminal voltage in MV and Q is the positive charge
state of the beam exiting the stripper region. These two
accelerations, that of the negatively charged beam toward
the terminal and that of the positively charged beam away
from the terminal, give rise to the name Tandem.
For example,
consider the acceleration of an oxygen beam when the terminal
voltage is 10 MV. The beam entering the accelerator is a
singly charged negative oxygen beam, so that the beam energy
at the stripper is 10.080 MeV (10 MeV from the acceleration
and .080 MeV from the injection energy provided by the ion
source). At the stripper, positive oxygen ions will be produced
ranging in charge state from 1+ (two electrons
removed from the original beam) to 8+ , with
a peak in the distribution at about 5+. The 5+
beam will gain 50 MeV (5e .10 MV) as it accelerates
toward the far end of the accelerator, and will exit the
accelerator with an energy of 10.080 + 50 = 60.080 MeV.
By adjusting the terminal voltage and selecting the appropriate
charge state exiting the stripper, oxygen beams of any energy
from approximately 2 MeV to approximately 100 MeV can be
produced.
In 1991,
a second carbon foil stripper region was added at the midpoint
of the high energy column of the FN Tandem accelerator.
Since the ion beam has accelerated from the terminal to
the midpoint of the high energy column, the energy of the
beam at this location is significantly higher than the beam
energy at the terminal stripper. Stripping at these higher
energies increases the population of the more heavily stripped
charge states, resulting in more intense beams at higher
beam energies. Consider our previous example of an oxygen
beam accelerated with 10 MV on the terminal. The beam energy
at the terminal is 10.080 MeV, as before, and most of the
beam will exit the terminal in charge state 5+. At the midpoint of the high energy column, the
beam energy will be 10.080 MeV + ½ (5e . 10 MV) = 35.080 MeV. If the second stripper is used,
then the beam will strike the second stripper foil with
an energy of 35.080 MeV, which is much higher than the energy
of the beam at the terminal stripper. At this energy, most
of the beam will be fully stripped to charge state 8+. This
fully stripped beam accelerates down the remainder of the
high energy column, exiting the accelerator with an energy
of 35.080 MeV + ½ (8e .
10 MV)= 75.080 MeV. This to be compared with the
previous result of 60.080 MeV without the use of the second
stripper. To date, this second stripper has been used to
produce several high energy, highly stripped ion beams,
including 110 MeV chlorine in charge state 14+.
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