Specmc/umm Acts?, VoL 388. No. 11/12. pp. 1465~1481,1983. Primed in Great lkitain.
MINI, MICRO, AND HIGH-EFFICIENCY TORCHES FOR THE ICP
-
TOYS OR TOOLS?
Gary M,Hieftje* Department of Chemistry, Indiana University, Bloomington, Indiana 47405, U.S.A.
ABSTRACT
Because the inductively-coupled plasma (ICP) is expensive both to purchase and to continue in operation, sought to reduce both the radiofrequency ordinarily
required
to sustain
it
could
reduced.
for
approach utilises
example,
paper, assessed
capability. low-power
*
On leave, Analytical institute
in terms of their Prospects
extensively.
for
torch
flows
approaches
ICP instrumentation
will
Department of Instrumentation and Science, University of Manchester of Science and Technology, Manchester,
The final cooling
will
In this
be reviewed and and analytical
torch modification be considered
U.K.
and mast
schemes using,
as a coolant,
practicability future
for
the torch used to support
alternative
water or high air
these alternative
analytical
but the power and argon required
has been modified
argon
In one approach,
in the hope that its
In the second approach,
the discharge recent
be retained
power and coolant
the discharge.
the XCP has been reduced in size, strengths
many workers have
and low-flow,
and discussed.
G. M. HIEFTJE
INTRODUCTION Despite
its
obvious
inductively
coupled
successful
operation
input
bulky,
argon
Similarly,
are
not
gas
cylinders
only
or
the
inexpensive, L/min
will
ICP.
to
the
past
reduce
use
of
the
for
consumes
year
only
urgency
changes
argon
cost
will
gases
of
each
That
is,
a
lSL/min By contrast,
operation.
the
and has
relatively
operation
5L/min
drives
is
$1000.
for
of
dewar.
annual
its
L/min)
alternative
approximately
requires
(>15
troublesome
where
that
is
modification modifications
torch
geometries using, paper,
high-efficiency future
comprehensive,
several
the
These
cooling
America,
$18OOC per
economic
frequent
particularly
can be
rates
a liquid-argon
the
substantial
require
development
only of
$5000.
high-
ICP systems. Over
through
which
generate
plasmas
incorrectly,
either
consider
flow
power
(>1.5kW)
can
the
for
radiofrcquency
consumption
of
In North
in argon
strong
efficiency
sought
to
that
requires
operated
necessitate
can be calculated
plasma
Clearly,
if
is
application,
high-power
argon
argon
approximately
a low-flow
the
of
plasma
cost
Such
availability
cost
increment
conventional
high
and,
but
the
it
ordinarily
instrumentation,
many investigators
support
this
flows.
elevated
costly,
The high urged
(ICP)
interference
hazardous.
and widespread
unfortunately
expensive
radiofrequency
to
plasma
and coolant
require
appeal
gas of
flow the
include
and power torch
these
example, alternative
ICP will offered. but
or
include
will
investigators of
sustain
torch’s
and employin
to
jets
the
a sampling
ICP
discharge.
optimising alternative air.
development
of
attempt of
the
of
and assessed not
have
the
size,
high-velocity
approaches
be reviewed
The review will
the
to
conditions, water
of
requirements
required
shrinking
and operating for
a number
years,
the
and a view to
be
alternative
In a
toward
1467
Mini, micro, and~~h~f~~iencytorches
approaches
and a discussion
of the studies
are particularly
significant.
chronologically,
but will
alternative
approaches
which the author
The discussion instead
will
individually.
approach
flow and power in an ICP is simply to reduce it can be assumed that ICP performance
density
in the discharge,
a satisfactory
low-power operation
just
torch,
necessary
Presumably,
in less
gas flows
and simplify The first (1) size
involved
which could
requirements
approximately
the original
power to pravide study
(1) and later
the same detection
limits
conventional-sized
ICP,
shown thatvaporization
as structured
similar
source.
In short,
the mini-I@
as would the conventional
source,
miniaturised
torch
dimensions;
its
The miniaturised
approximately
analytical
reports
2/3rd
performance.
(2), the “mini-XCP”
studies
and troublesome
systems.
213rds that of the conventional
linearity
the
Prom
exhibited
expected
on the same system,
interferences
minimal and that the background emission was just
enhance sensitivity
narrative.
required
and ionization
result
in Table 1 along with those
and working-curve In later
Such
but might also
in the torch’s
in this
torch and, interestingly,
radiofrequency
be reduced.
ICP in terms of
effective
are listed
for
smaller
of the plasma to ion-detection
systems to be discussed
(lgmm i.d.)
powers,
modest reduction
torch had a diameter
ha designed
a proportionally
of an analytically
a rather
and operating
of other
a factor
the interfacing
description
could
not only a more efficient
atomic dilution,
gas
is dependent an power
gas flow would also
and radiofrequency
to reducing
the plasma’s dimensions.
unit
by configuring
an approach would yield required
not proceed
examine the above-mentioned
Perhaps the most straightforward
If
feels
from a it was
(3) were also
spectrum from theminilCP
(4)
as that from the conventional
can be viewed and utilised but can be operated
exactly
at 213rds of the
G. M. HIEFTJE
1468
radiofrequency Detection
limits,
mini-ICP those
power
are
in
obtained
from
other
In tile
course
of
Sexton,
and useful et
directed
al.
torch;
from
the
of
of
the
top
swirl
velocity
revealed
tube
in
al.
step
g-ram device. flared gas
intermediate
enabling
it
Reported
detection
even the
to
better
interference
worse
than
Table
1,
was the
exhibited
the
system
are
the
compared
with
reduced-size
was described
flowing
in
the
water
the
could
(outer) “fan”
of
the
the
was ICP
the uniformity
torch
flat
an by
constructed
flow,
“coolant” a
torches,
argon
of
inlet
water
“fan”
symmetry
be evaluated.
issuing
indicated of
the
the
“fan”
ICP size
was described
utilised
and sharp
a smooth
torch
edges
was constructed
the
reported easily
ionized
the
by a conventional-sized was operated
on slightly
of
but
the
uninterrupted
boron
nitride,
glass-blown.
were,
“mini-1CP”
elements
“mini-ICP”,
contour
than
13-mm torch
in
the
for
of
rather
machined for
like
by Allemand
on the study
(EIE)
average, However,
(1).
was slightly
unit.
As shown
higher
argon
in
flows
than
“mini-1CP”. Allemand,
(i.d.)
limits
from
they
a 13-mm torch
torches
torch
those
the
of
whereas
only
be precisely
than
of
water
tubes
reducing
tube
The entire
flow.
figures-of-merit
and uniformity.
not
Both
exiting
torch,
in
who tested
(6),
of
The flatness
concentricity
A further et
the
(2).
ICP systems.
ports
torch
torch.
dL/min
where
less
development
inlet
into
from
than
described,
the
directed
the
test
quartz
in a well-constructed of
torch
gas
produced the
2-3,
development to
the
of
water
example,
the
pattern
and concentricity
of
high-efficiency
In the
each
flow
and other
Tables
aid
(5).
into
a coolant
interfcrcncas,
collrcted
interesting
For
and at
torch
In contrast,
et
al.
(6)
indicated
and found
that
the
by Weiss,
study
it
stability
required et
al.
at (7)
problems
least used
700W for the
with
a g-mm
operation.
water-flow
also
a
1469
Mini, micro, and high-efficiency torches
testing of
approach
9mm in
BF power “mini”
(5)
inner
to
develop
diameter
which
and 7L/min
ICP , the
curves,
and most the
lower
(40OOK)
than for
m iniaturised
of
analysis
both
either
the
interaction
coupling
discharges,
boundary.
has
fallen
the
the
skin
Because
In contrast, be greatly were
of
the
the
unit
was 2-3
various
is
lies
coupling
can be directed process.
composition extremely upset
centre,
the
small
by aerosol were
For
in
the
centre
it
minimal
effect
like
to
the plasma’s
the
like
and 31mn (8). of
a large
on the flow
or
interferences.
the
a l-mm channel energy
energy
plasmas
“micro-1CP”
Even if
discharge
“skin
where
in aerosol
matrix
few
introduction.
some 13% of
boundary
changes
the
by the
minimal
discharges
restricted
from
2mm (7)
produce
necessary
discharge,
between
Consequently, should
the
maximum value.
with
for
radiofrequency
distance
plasma
reportedly
into
the
in
and radiofrequency
of
with
the
its
is
in
In all
“skin”
than
The reason
characterised
from of
9-mm plasma
aerosol
plasma.
ordinarily
0.37
depth
the
and those
presumably
exponentially
to
2mm and aerosol
discharge
the
to Tables
unit.
sample
into
distance
energy
energy-coupling sample
the
in
lies
a small
coupled
feature
coupling
aerosol
such
is
is
in
of
was somewhat
interferences
greater
between
decreasing
This
vaporization
performance
into
which
ICP,
expected
samples;refer
in a conventional
occurs
power
coupling
or
reduced
which
ICP,
and
working
ICP discharges,
real
SOOW of
conventional
limits,
characteristics
somewhat
“mini-1CP”
somewhat
depth”,
than
plasmas.
by an EIE are
with
the
micro-plasma
other
of
Like
detection
the
“micro-1CP”
on less
characteristics
of
analytical
caused
energy
flow.
yielded
for
useful
operate
analytical
reported
Unfortunately,
this
argon
temperature
the
a comparison
could
torch
other
Although
shown useful
total
“micro”
ICP.
for
of
an analyticaily
could
skin in
coupling
depth
the would
1.0
0.36
Sampleuptake (aLL/min)
1
0.76
1.2
0.75
I
uaiymn
20
18
18
lOUS)
1.0
(11)
(12)
7000(24)
700
4
I
I
1
5500
lloo
12
1.5
0.8
4
0.8
0.1
2.5'
1.5
17
(23)
0.9
0.5
18
(21)
I
I ) 10
1.5
0.15
0.75
5ob
1.5
13.5
(25)
I
I 1 500=
11
2
0.12
0.8
6Zb
0.48
16
(28)
I
1
I
450=
12
2
0.15
0.5
6Zb
0.48
13.5
(28)
Ripsoa13.5-m air-cooled
ICP TOOBCNES
yOmk.lum Kawaguchi ilipwn Ripson16-m air-coolad
=b
WON
DIMENSIONS. OPXUTINC CONiITIONS AND CURACIZRISTICSOF SEVEUALNICN-EFFICIENCY
Nabulicar8s~ flow (L/saw
TA8L.E 1
I
1100
I 1 10
2
0.17
1.0
1.3.
0.57
13.5
(28)
I
1
Ripson li2O-cc.oled
1471
Mini, micro, and high-efficiency torches
still
be affected. Clearly,
there
is
little
plasmaL
the
prospect
dimensions.
altering
the
the
operating
been
shown
and with one
unless
of
systems
of
the
successfully skin
of
depth
can
ICP.
matrix
further
be
an unlikely
the
ICP can be altered,
reducing
it
has
this
which
by
recently
1OOMRz successfully
interference$9).Clearly,
new directions
only
or by raising
Importantly, at
the
reduced
event,
a 9rmn ICP can be operated
important
might
depth
impedance,
frequency
minimal the
of
In turn,
plasmas
that
skin
study
high-efficiency
heralds ICP
take.
HIGH-EFFICIENCY ICP TORCHES Historically, power
and argon
modifying
the
by Allemand the
most
study,
some of flow
required
torch
used
and Barnes
recent
of
ratio
diameters
plasma large
torch
torch.
It
demonstrated
the
gas
inlet
tube
the
swirl
velocity
promotes
support
in
the
flows.
described
of
-
efficiency
then
Later, of
in
the
torch
into previous for
for
even
design.
In
ratio”
a plasma
tubes
port
in
stabilises
design
features
a number section use
with
of
the
the that
on (12)
the
Such a constriction
simply
in
(6,ll)
group
as
is
supported
same research
argon,
that
ratio
studies
to be
some of
was defined
and outer later
the work
In fact,
basis
a constricted
These
torches
and in
in RF
made by
The configuration
the
coolant
incorporated
the
intermediate
an ICP torch. of
ICP were
plasma.
low-flow
enabled
ignition.
systems
the
reductions
the
“configuration
the
importance
of
easier
surprisingly,
high
ratio
low gas
sustain
performance. of
dramatic
established
was shown
configuration
unusually
(10)
termed
an indicator the
to
to
improvements
a parameter
of
the most
coolant-
increases the were,
plasma, not
miniatudsed
and also molecular
in
and
the
gases
ICP design (13).
a
the
G. M. HlEFl-JE
1472
Other for
investigators
low-power
who have
or
low-flow
Demers and hllcmand at
a rather
that
required
Allemand
(1.5)
RF powers
excite
atoms,
Perhaps
the
torch
design
“plasma
and gas
stability”
flow.
ignited,
stable
ICP.
obtained
is
“plasma axes
and
flow
torch
outlined
surmaarised
of
results
also
occurs
at
Under
these
required
and applied fluorescence to
ionise
operating
or
conditions
RF power
axis
in
Importantly,
the
analysis
same laboratory
an applied conditions,
RF power matrix
solution
(16) of
of reveal
in an
extinguishes
points
stable sustain
500W.
so
both
plasma a stable of
plasma
125W or
Features
of
the
characteristics
optimized
torch
exhibited
was introduced
into
real
Recent
samples.
that
optimal
350W and a coolant
interferences
by
flow
plasmabllows
of
2-3.
the
gas
and an RF power
analytical
for
generated
plasma
of
1 and its
low
The resulting
could
and an RF power
when a 17. NaCl
are
system.
5Llmin
dimensions
at unusually
the
boundaries
of
Using
physical
flow/power
(11)
(11).
coolant
an optimized
torch
flow
or
where
minimal
al.
of
curves
of
optimized
et
stability
in Table
be employed the
not
operation
delineates
3.5L/min
in Tables
from
is
or power
which
a coolant
same stability
could
an atomic
enable
applied
group
closely,
a coolant are
the
curve,
at
to
on a power/flow
The final
alternatively
the
the
stability”
operation.
in
a number
curves,
The flow
plotted
remarkably
use
in
an ICP
by Demers and
flows
by Rezaaiyaan
Such plasma
either
noted
The system
improvement
optimized
slowly
then
dramatic
was reported
reducing
is
plasma
in
tube
+
an 181nm ICP were
power
for
outer
tube
low argon
torches
and
a thick
intermediate
unusually
the
ost
employed
the
was designed
modified
Lowe (14)
operation.
at
Consequently,
as a guide of
it
sample
through
for
operate
because
instrument.
from
5Llmin
can
include
Lowe (14)
distance
only
described
operation
(15).
large
recently
are
flow
minimal
it
and
operation of
5L/min.
and detection
limits
1473
micro, andhighsfficiencytorches
Mini,
are comparable
to those reported
in other
JCP
investigations. The “optimized” of outside
investigators
be used for real convenient
(17-19)
who report
solvents
by the optimized
samples requires
torch
is extremely
to be operated
Prom
the plasma
at somewhat higher
700 to 1OOOW. Under these conditions,
- approximately
carbon deposition
that it can indeed
must be employed (18,19).
the use of organic
RI? power levels
been used by a number
samples and, even more importantly,
when organic
these reports, supported
torch has since
is reportedly
minimal and plasma stability
is
excellent. It is appropriate and optimization studies
whether torch miniaturisation
might not profitably
(16))optimized
than their
to question
larger
torches
of reduced size
counterparts,
at least
frequencies
in the 27-4OMtlz range,
frequencies
(9) will
alter
go hand in hand.
this
Prom recent
perform no better
when sustained
Perhaps operation
at radioat higher
situation.
EXTERNALLY COOLEDTORCHES A clear of externally be cooled (e.g. total
alternative cooled
internally
air)
to the foregoing
ICP torches.
Presumably,
or externally
by a relatively
or by a more effective
cooling
argon flow to the plasma could
approach has been explored
the torch
could
inexpensive water)
reduced.
by a number of researchers developments
gas the
This and points in high-
Torches
The first
ltfmin
is the use
ICP torch design.
Water-Cooled
et al.
if
medium (e.g.
be vastly
the way toward some of the most promising efficiency
approaches
example of a water-cooled
(20) who supported of argon.
torch was reported
a 40 HHz, 4kW plasma on as little
The torch was unusually
large
(4~
i.d.)
by Britske
as and was
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147s
Mini, micro, andhigh-efficiency torche,
found to be effective
for
rare-earth
determination.
However, end-on
viewing was required. The water-cooled
torch of Komblum,
et al.
argon flow of approximately power of only 7OOW(cf.
generator
(21)
lL/min and an W
Table 1).
However, interferences
from Al, Na and phosphate were noted and detection disappointing detection
(cf.
limits
Table 2).
The authors
to the inability
more than O.lL/min
of aerosol
little
However, a later
gas flow.
were reduced
design. (cf.
2).
the original
was surrounded by a silica found to be stable
Under these conditions,
three-tube cooling
a distinct emission
advantage
to pass through the torch Air-Cooled
torch
water
Obviously,
gas but required
an KF power
is unusually low.
water-cooled fashion
The design
systems
without
high has
in that
requiring
light
Torches
water-cooled
interrupted,
plasma was
itself.
One of the major difficulties
cooling
design which
The resulting
are reportedly
over alternative
system but
torch a 2-tube
temperature
can be viewed in a side-on
limits
water-cooling
jacket.
at 4L/min of coolant
interferences
matrix
Later work by the sama authors
of more than 11OOW. The excitation (7OOOK) and matrix
(23)
power (lOOO-18OOW)
Table 3) and detection
improved (cf.Table
for
(22)
nebuliser
torch of Kawaguchi et al.
(24) employed the same kind of top-inlet substituted
study
Babington-style
high radiofrequency
and with a somewhat modified
dramatically
the poor
of the low-power plasma to accommodate
the water-cooled
at relatively
interferences
were
improvement in sensitivity,
In contrast, was operated
limits
attributed
employed the same plasma with an efficient and yielded
dramatically
is the incidence
(22). resulting
with the design of gas bubbles
When such bubbles in torch
no such problem arises
and use of a
forming
in the
form, water flow can be
devitrification when the torch
or melting, is air-cooled.
To
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1477
Mini, micro, and high-efficiencyjorches
promote
cffertive
air
unusual
load
constructed
of
two plates
inlet
in
this
Five
coil
spaced
a high-velocity
(lL/min),
extended
outer
viewed
through
detection
limits
Table
that
3)
et
amount
quartz
tube
cooled
and water-cooled
conduction by the
through cooling
more power
mentioned
balance in
review,
predict
that
an “optimized”
should
require
25015 just
In contrast,
125W was sufficient fraction the
of
plasma
efficiently
the
to argon
boundary, cool
it
the
heat
is
the not
torch
the
heated walls.
is
greatly,
airby
loses
on studies calculations SLImin
plasma
study
passes
and serves
of
argon
temperature
Presumably,
torch
carried
device
at
earlier
discharge.
the
power-efficient.
operating
the
except
subsequently
the
the
the
against
water-cooled less
of
argon,
heat
example,
“optimized”
and
lies
strongly
to
to
most
the
bear
gas
was shown in
sustain in
the
similar
empirical/theoretical
their
therefore
For
same authors
In contrast,
of
the
plasma to
the
which
which
calculations
this
Nonetheless
unit
heating
heat
and is
an had to be
calculations,
most
two,
flows
conventional
torch
walls;
wall
both
into
lose
an
unless
(26-28)
boundary.
Of these
the
power
plasma
of
emission
a combined
for
goes
directed
and interferences
From these
torch
medium.
earlier
(350010.
balances
plasmas
the
through
These
Using
the
outside
a water-cooled
a conventional
and outside
then
disadvantage.
studies
(24).
copper.
low argon
respectable
plasma in
coil
the
an obvious
ICP torches.
a conventional
at
an
water-cooled
As a result,
to
power
of
designed
was unstable
plasma al.
(25)
relatively
In later
minor.
al.
modified
tailflame
2) were
air-cooled
small
the
tube,
;cf.Table
cooled
the
at
quartz
et
(SOL/min)
plasma
derived
externally
for
the
Kawaguchi,
in
air
was employed.
were
approach,they
energy
the
tube
their
of
of
Unfortunately,
required
compared
Ripson
ports
stream
18-mm torch.
(cf.
cooling,
Cl)
that
a large
outside merely
to
away
G. M. HJEPI-JE
147&i
The authors
also
ICP beyond
that
measure
increase
to
hypothesis
than
those
of
levels.
Using
these
same authors
using
air-cooled
Although
the
water-cooled
better
detection
detection
wall,
instability
suffer
still
matrix
a factor
which
in working
curves.
could
to be
vell
in
is
input
somewhat
continuously, and yielded Unfortunately,
a conventional
when fed
plasma
an organic-
torches
required
lead
long-term
drift
and
torch
types
which
to
analytical
superior.
changes
build-up
of
and
subsequent
torch
those
(28).
criterion,
interferences.
to
both
manner,
immune to
particularly
Moreover,
study
a number of
salt
at
and water-cooled
air-cooled
from
(21)
torch
analytical
to be aspirated
inferior
functioned
aerosol.
tube
not
Kornblum
water-cooled
generally
more
solvent
of
optimization in
This
temperature
a univariate
the
the
and lower
were
torch
containing
did
limits
limits
and neither
the
requiring
torch
in
is
the plasma.
air-cooled
was found
device
large
limits
his
1);
and although
temperamental, air-cooled
Table
torch
power
the
dimensions
(cf.
in an
low excitation detection
as
in
in
who operated
ratio
the
serves
ionization
directly
torch
studies,
more
of
argon
power
in a more directly
compared
was modified
radiofrequency
the
relatively
(23)
findings
Optimizing
torch
additional
and the poorer
signal-to-background
each
the
the
Kawaguchi
power
torches.
degree
explain (7)
that
to heat
the
by Weiss
higher
the
required
might
reported
suggest
viewing
through
CONCLUSIONS Tables have
been
1-3
reported
characteristics
offer
the
torch
is
for
best
coolant-gas
for that
First,
arise.
more
different
high-efficiency they
the
solution
flow. the
documentandcompare
yield,
near for
Of these proven
term,
ICP use From these the
data,
“optimized”
ICP operation two alternatives,
and can
and the
therefore
at
analytical
several
conclusions
or miniaturized
reduced the
be used
RF power
torches and
13-mm reduced-size with
greatest
1479
Mini, micro, and high-efficiency torches
confidence. load
coil
change
supplied
is
the
directly
reported
in
in
employed
where
low-flow
interfacing For argon
to
one might
to
conductivity.
laser
tubes
electrical
of
cooling
ultra-low
flow that
future
a quartz
must
confirmed
ICP.
carry by
the
outer Be0 is
its
thermal
externally
cooled
might
In
the
water
away between of
would
more tubes
et
of
2.5L/min
is
the water
long
future al.
be
in
ideal
is
for
(23),
necessary
These
and de Galan
used
and low for
an it
to
increased
can be calculated
350 and 85OW.
higher
Alternatively,
the
flow
seems
efficient,
of
seem to
in
Kawaguchi,
Ripson
two
conductivity
of
or
water-cooling
a material
work
it
power
Of the
torch
employed
data,
Obviously,
requirements.
ICP torches.
as a result,
From these
findings
be
would
chromatography,
air-cooling
example, high
similar
Future
radiofrequency
Such a material
ICP torch; 2-SC.
the
of
itself
a coolant
temperature water
in
conductivity.
radiative
cool
To render
can be
available
required.
literature,
(28).
For
because
construction
stated
see
are
but
frequencies
liquid
a necessity. the
torch
Such systems
for
applied
in
as widely,
higher
has similar
seems
described
air-cooling
expect
in
In
forthcoming.
(9).
dilution
spectrometer
used
see
systems
atomic
cooling
already
no doubt
detection
this
now commcrically
be
torches
reductions
external
alternatives
thermal
a mass
dramatic
flow,
inferior
in
been
is
the
although
An optimized
should
will
miniaturised
and minimal
with
use
design
not
(11)
in
by many users.
unit.
literature on its
useful
generators;
have
a commercial
torch
a modification
bc undertaken
torches
the
with
be especially
the
in
requires
ICP power
not
“optimized”
developments
ion
most
and documentation
being
a torch
might
installed
that
(29)
with
simple,it
contrast,
to
such
However,
values (26).
that are
is
stably in the
G. M. HIEFJ-JE
1480
To effectively plasma
torch
than
that
used
to
dissipate
would
obviously
expected
of
calculate
radiatively,
necessary
1,
S is
emissivity
of
the
of
amount of area
a number
system.
Clearly,
such
temperature
Equation
power
the
to
1 can
be
u is
length
of
have
expected
be dissipated
radiator, the
temperature.
cs
a temperature
For 5cm,
equation
to be reached
available.
the
a plasma
torch 1 shows
to for
can be readily
development
is
Stefan-Boltemann
to be reasonable
conveniently
now under
of
substance,
1400K would
625W,
is
a
temperature.
radiator
dissipate
ceramics
a higher
unit.
and a radiating
a temperature
cooledtorch
the
surface
radiating
and T is
number of
reach
radiatively,
(1)
P is
the
the
18rmn diameter
that
to
a conventional
this
In equation
of
have
SEsrJT4
P -
constant,
350-8001~
this
such
reached
a by a
Such a radiatively
in our
laboratory.
ACKNOWLEDGEMENTS This Science the
work was supported
Foundation,
Science
by the
and Engineering
in part
Office
of
Research
by the Naval
National
Research,
Council
of
and by
Great
Britain.
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