All product names are trademarks of their respective companies.
Page 2
Limited Warranty & Limitation of Liability
Each Fluke product is warranted to be free from defects in material and workmanship under normal use and service.
The warranty period is one year and begins on the date of shipment. Parts, product repairs, and services are warranted
for 90 days. This warranty extends only to the original buyer or end-user customer of a Fluke authorized reseller, and
does not apply to fuses, disposable batteries, or to any product which, in Fluke’s opinion, has been misused, altered,
neglected, contaminated, or damaged by accident or abnormal conditions of operation or handling. Fluke warrants
that software will operate substantially in accordance with its functional specications for 90 days and that it has been
properly recorded on non-defective media. Fluke does not warrant that software will be error free or operate without
interruption.
Fluke authorized resellers shall extend this warranty on new and unused products to end-user customers only but have
no authority to extend a greater or different warranty on behalf of Fluke. Warranty support is available only if product
is purchased through a Fluke authorized sales outlet or Buyer has paid the applicable international price. Fluke reserves
the right to invoice Buyer for importation costs of repair/replacement parts when product purchased in one country is
submitted for repair in another country.
Fluke’s warranty obligation is limited, at Fluke’s option, to refund of the purchase price, free of charge repair, or
replacement of a defective product which is returned to a Fluke authorized service center within the warranty period.
To obtain warranty service, contact your nearest Fluke authorized service center to obtain return authorization
information, then send the product to that service center, with a description of the difculty, postage and insurance
prepaid (FOB Destination). Fluke assumes no risk for damage in transit. Following warranty repair, the product will
be returned to Buyer, transportation prepaid (FOB Destination). If Fluke determines that failure was caused by neglect,
misuse, contamination, alteration, accident, or abnormal condition of operation or handling, including overvoltage
failures caused by use outside the product’s specied rating, or normal wear and tear of mechanical components, Fluke
will provide an estimate of repair costs and obtain authorization before commencing the work. Following repair, the
product will be returned to the Buyer transportation prepaid and the Buyer will be billed for the repair and return
transportation charges (FOB Shipping Point).
THIS WARRANTY IS BUYER’S SOLE AND EXCLUSIVE REMEDY AND IS IN LIEU OF ALL OTHER
WARRANTIES, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTY OF
MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. FLUKE SHALL NOT BE LIABLE FOR ANY
SPECIAL, INDIRECT, INCIDENTAL, OR CONSEQUENTIAL DAMAGES OR LOSSES, INCLUDING LOSS OF
DATA, ARISING FROM ANY CAUSE OR THEORY.
Since some countries or states do not allow limitation of the term of an implied warranty, or exclusion or limitation
of incidental or consequential damages, the limitations and exclusions of this warranty may not apply to every buyer.
If any provision of this Warranty is held invalid or unenforceable by a court or other decision-maker of competent
jurisdiction, such holding will not affect the validity or enforceability of any other provision.
Fluke Corporation Fluke Europe B.V.
P.O. Box 9090 P.O. Box 1186
Everett, WA 98206-9090 5602 BD Eindhoven
U.S.A. The Netherlands
Procedure for Realizing the Freeze (In, Zn, Al, Ag, and Cu Fixed Points) .................. 17
Realization of the Freezing Point of In .................................................................... 17
Realization of the Freezing Point of Sn .................................................................... 18
Realization of the Freezing Point of Zn .................................................................... 19
Realization of the Freezing Point of Al .................................................................... 20
Realization of the Freezing Point of Ag .................................................................... 21
Realization of the Freezing Point of Cu .................................................................... 22
SPRT Care At High Temperatures ................................................................................ 23
The Correction for the Pressure Difference .................................................................. 23
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ii
Page 5
List of Tables
TableTitle
Table 1. The Dening Metal Freezing Points of the ITS-90, Pressure Constants,
and Resistance Ratios ........................................................................................................... 1
Table 2. Subranges of the ITS-90 and Freezing Points Required for Calibration .............................. 2
Table 3. International Electrical Symbols ........................................................................................... 3
Table 4. The Specication of Metal Freezing Point Cells. ................................................................. 5
Table 5. Summary of the First Cryoscopic Constants and the Estimated Effects of Impurities ......... 9
Table 6. The Furnaces for Fixed Points and their Temperature Uniformity ....................................... 15
Table 7. Hydrostatic Head Correction Coefcients ............................................................................ 23
Page
List of Figures
FigureTitlePage
Figure 1. The Metal Freezing Point Cell............................................................................................. 2
Figure 2. The Fluke Open Metal Freezing Point Cell ......................................................................... 8
Figure 3. Freezing Curve Comparison of One Cell ............................................................................ 10
Figure 4. 9114 Furnace Interior with Freeze Point Cell, Cross Sectional View ................................. 11
Figure 5. 9115A/9116A Furnace Interior with Freeze Point Cell, Cross Sectional View ................... 12
Figure 6. The Metal Freezing Point Cell in the Cell Containment Vessel (Basket) ........................... 13
Figure 7. Two Liquid-solid Interfaces in the Cell ............................................................................... 14
Figure 8. A Typical Freezing Curve for the Zinc Cell ........................................................................ 20
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iv
Page 7
Introduction
The International Temperature Scale of 1990 (ITS-90) is based on a series of dening xed
points. At temperatures above 273.16 K, most of the xed points are the freezing points of
specied pure metals. Pure metals melt and freeze at a unique temperature through a process
involving the absorption or liberation of the latent heat of fusion. A metal freezing point is the
phase equilibrium between the liquid phase and solid phase of a pure metal at a pressure of one
standard atmospheric pressure (101.325 kPa). The freezing points of indium, tin, zinc, aluminum,
silver, gold, and copper are the dening xed points of the ITS-90. The temperature values of
these freezing points are assigned by the ITS-90. The pressure effect constants and the resistance
ratios of the ITS-90 are listed in Table 1.
Table 1. The Dening Metal Freezing Points of the ITS-90, Pressure Constants, and Resistance Ratios
Fixed PointT90 (K)t90 (°C)
FP In429.7485156.59854.93.31.609801853.801024
FP Sn505.078231.9283.32.21.892797683.712721
FP Zn692.677419.5274.32.72.568917303.495367
FP Al933.473660.3237.01.63.376008603.204971
FP Ag1234.93961.786.05.44.286420532.840862
FP Au1337.331064.186.110----
FP Cu1357.771084.623.32.6----
[1] Equivalent to millikelvins per standard atmosphere.
Pressure Effect of Fixed Points
Assigned Temperature
dt/dP
(10-8 K/Pa)
[1]
dt/dh
(10-3 K/m)
W
r
(T90)
dWr/dt
( x 0.001)
The xed points in Table 1 are intrinsic temperature standards according to the denition of the
ITS-90. In certain conditions, these freezing points are highly reproducible, obtaining almost the
same temperature where and when a freezing point is realized. The difference among realizations
of a freezing point of indium, tin and zinc might be well within 1.0 mK. For aluminum and silver,
the difference among realizations of a freezing point might be within a few millikelven.
The 5900 series and 5910 Series Fixed-point Cells are fully sealed cells that simplify the
realization process. The 5920 series of open xed-point cells include stainless steel caps and ports
for use with argon gas.
Fluke has open xed-point cells for those who require traditional xed-point cells. Contact Fluke
for more information.
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Users Guide
gpv001.jpg
Figure 1. The Metal Freezing Point Cell
To calibrate a Standard Platinum Resistance Thermometer (SPRT), you must be able to reach the
xed-point temperatures in Table 1. When working with subranges, the freezing points change
depending on the metal. Refer to Table 2 for subrange freezing points.
Table 2. Subranges of the ITS-90 and Freezing Points Required for Calibration
SubrangeFreezing Points Required
0 °C to 961.78 °CFP Sn, FP Zn, FP Al, and FP Ag
0 °C to 660.323 °CFP Sn, FP Zn, and FP Al
0 °C to 419.527 °CFP Sn and FP Zn
0 °C to 231.928 °CFP In and FP Sn
0 °C to 156.5985 °CFP In
2
Page 9
Before You Start
Symbols Used
Table 3 lists the International Electrical Symbols. Some or all of these symbols may be used on
the instrument or in this manual.
SymbolDescriptionSymbolDescription
Metal Freeze Point Cell
Before You Start
Table 3. International Electrical Symbols
X
:
W
B
D
F
T
.
CAT II
Hazardous Voltage
Hot Surface (Burn Hazard)
Risk of Danger. Important
information. See manual.
AC (Alternating Current)
AC-DC
DC
Double Insulated
PE Ground
CAT II equipment is designed to protect against transients from energy-consuming
equipment supplied from the xed installation, such as TVs, PCs, portable tools, and
other household appliances.
o
I
M
;
)
P
Off
On
I
Fuse
Battery
Conforms to Relevant Australian
EMC Requirements.
Conforms to Relevant North
American Safety Standards.
Conforms to European Union
Directives.
Do Not Dispose of this Product
as Unsorted Municipal Waste. Go
to Fluke’s Website for Recycling
Information.
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Users Guide
Safety Information
Use this instrument only as specied in this manual. Otherwise, the protection provided by the
instrument may be impaired.
The following denitions apply to the terms “Warning” and “Caution”.
• “Warning” identies conditions and actions that may pose hazards to the user.
• “Caution” identies conditions and actions that may damage the instrument being used.
To avoid personal injury, follow these guidelines:
• DO NOT use this instrument for any application other than calibration work.
• DO NOT use this instrument in environments other than those listed in the
Users Guide.
• Follow all safety guidelines listed in the Users Guide.
• Avoid leaving a PRT installed for an extended period of time which can cause
the PRT handle to become hot.
• Calibration Equipment should only be used by trained personnel.
• Use the Product only as specied, or the protection supplied by the Product
can be compromised.
• Do not use and disable the Product if it is damaged.
• Use this Product indoors only.
• Have an approved technician repair the Product.
Warning W
To avoid possible damage to the instrument, follow these guidelines:
• Keep the cell clean and avoid contact with bare hands, tap water,
or contaminated PRTs. If there is any chance that the cell has been
contaminated, clean the quartz with reagent grade alcohol before
inserting it into a furnace.
• Use the product in the vertical orientation only.
How to Contact Fluke
To contact Fluke, call one of the following telephone numbers:
• Technical Support USA: 1-877-355-3225
• Calibration/Repair USA: 1-877-355-3225
• Canada: 1-800-36-FLUKE (1-800-363-5853)
• Europe: +31-40-2675-200
• Japan: +81-3-6714-3114
• Singapore: +65-6799-5566
• China: +86-400-810-3435
• Brazil: +55-11-3759-7600
• Anywhere in the world: +1-425-446-6110
To see product information and download the latest manual supplements, visit Fluke Calibration’s
website at www.ukecal.com.
To register your product, visit http://ukecal.com/register-product.
Caution W
4
Page 11
Metal Freeze Point Cell
Specications
Specications
Table 4. The Specication of Metal Freezing Point Cells
Model Number 5924592559265927 5928
Fixed Point FP In FP Sn FP Zn FP Al FP Ag FP Au FP Cu
Reproducibility (mK) 0.15 to 0.30 0.2 to 0.4 0.2 to 0.4 0.6 to 1.0 1.0 to 2.0 --2.0 to 4.0
Quantity of metal (kg) 0.970.96 0.95 0.351.35--1.13
Outer Diameter of the
Cell (mm)
Overall Height of the
Cell (mm)
Inner Diameter of the
Well (mm)
Total Immersion
[1]
Depth
[1] The distance from the bottom of the re-entrant well to the upper surface of the metal
(mm)
0.70.50.91.32.4--10.0
505050505050 50
596596596596/696 696 696696
8 8 8 8 8 8 8
195195195195195195195
Contact
Fluke
5929
Calibration Process Overview
A typical 592X Fluke Metal Fixed-Point Cell is shown in Figure 1. To calibrate a Metal FixedPoint Cell, a proper quantity of metal with a purity of 99.9999 % is melted into a graphite
crucible with a graphite lid and re-entrant well. The impurity in the graphite must be less than
5 ppm. All of the graphite parts are then subjected to a high-temperature, high-vacuum treatment
before loading the metal sample. A graphite disk is put on top of the crucible. The assembled
graphite crucible, with the high-purity metal, is then enclosed in a long quartz cell. Pure silica
wool insulation is interspersed between graphite disks to act as a thermal barrier.
Next, the cell is sealed with a specially designed stainless steel cap with a port and vacuum valve.
The cell is connected to a pumping and lling system and then drawn down to a proper pressure
at a temperature near the freezing point for several days. During this period the cell is purged
with high purity argon repeatedly to remove any absorption gas on the surface of all parts in the
cell. Finally, the cell is lled with 99.999 % pure argon at a pressure close to 101.325 kPa at room
temperature and the vacuum valve closed.
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Care of Your Metal Freezing Point Cell
General Information
The metal freezing point cell is an extremely delicate device. Great care must be taken when
working with or transporting the cell. The quartz glass outer shell is fragile and can be easily
broken. Fluke suggests that the cell be kept in the vertical position for safety.
Note
Putting a cool cell in the horizontal orientation for a short period of time is not
a typical cause of cell damage.
Transporting the cell on a general freight carrier will damage the cell beyond repair. To prevent
damage, hand carry the cell from location to location. It is extremely important to keep the outer
surface of the cell clean to prevent devitrication of the quartz glass. Never touch the cell with
bare hands. When you have to handle the cell, always wear clean cotton gloves and use clean ashless paper. If there is a chance that the outside of the cell has been touched with bare hands, clean
the quartz glass with alcohol before inserting it into a furnace.
Devitrication of Quartz Glass
Devitrication is a natural process with quartz glass. The quartz glass is utilized in a glass
state. The most stable state for quartz is crystalline. Therefore, devitrication is the tendency
of the quartz to return to its most stable state. If the quartz is kept extremely clean and free of
contamination, devitrication will occur only at high temperatures. The process occurs more
rapidly and at lower temperatures when the glass has become contaminated by alkaline metals
(Na, K, Mg, and Ca). The alkalis found in normal tap water can cause the process to start.
Caution W
Removal of the devitrication is not practical as it requires drastic
measures and is potentially dangerous to the instrument and/or the user.
Devitrication starts with a dulling or opacity of the quartz. It develops into a rough and
crumbling surface. Devitrication ultimately weakens the glass/quartz until it breaks or is
otherwise no longer useful.
The best cure for contamination and devitrication is prevention. Be aware of the causes and
signs of contamination which will help you take the steps necessary to control contamination
of the cell. Keep your cell clean and avoid contact with bare hands, tap water, or contaminated
SPRTs.
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Page 13
Unpacking
Since it is difcult to hand carry or deliver an assembled 592X xed point cell, the 592X xed
point cell must be delivered as a kit. The kit is comprised of the following parts:
1. Crucible assembly (sealed in a Pyrex vessel in dry pure argon atmosphere)
2. High-purity graphite disks, 6 pieces, sealed in a Pyrex vessel in dry pure argon atmosphere,
same Pyrex vessel as for crucible assembly
3. Pure fused silica (quartz glass) wool disks (in a Pyrex tube)
6. A clean Pyrex tube or rod (used as tool, and will not be assembled into the cell)
7. Extra-clean ash less lter papers (used during assembling)
8. Stainless steel (SS) cap assembly, 1 set, including the following parts:
• SS top cover, 1 piece
• SS well clamp, 1 piece
• SS cover clamp ring, 1 piece
• Silicone O-ring 1.862 ID x 0.103 w, 1 piece
• Silicone O-ring 0.424 ID x 0.103 w, 1 piece
• Silicone seal washer (64.0 mm/50.6 mm x 5.0 mm), 1 piece
• High vacuum bellow valve, NUPRO SS-4H, 1 piece
• SS valve support bracket, 1 piece
• Screw, 8-32 x 1 SKTHD CAP, 4 pieces
• Screw, 4-40 x 1⁄4 SKTHD CAP SST, 3 pieces
• Screw, 8-32 x 5⁄16 PPHD, 2 pieces
Metal Freeze Point Cell
Unpacking
Assembly Guide
1. Assembly should be performed in a clean and suitable work area. Wear new clean gloves
during assembling and only place the crucible assembly on clean ash-less paper (provided).
To prevent contamination of the crucible, do not break open the Pyrex
vessel until you are ready to work with it.
2. Carefully break the top of the Pyrex vessel containing the crucible assembly and graphite
disks with a clean metal tool. Remove the graphite disks from the Pyrex vessel and put them
on a piece of ash-less lter paper. Complete the entire assembly process without interruption
in order to avoid contamination and oxidation to pure metal.
3. Keep the fused silica outer shell (outer shell) at an angle of 10 degrees relative to the
horizontal direction. Let the crucible assembly slide slowly and gently to the bottom of
the outer shell. Use a piece of ash-less lter paper to hold the crucible assembly during the
process. Put one piece of graphite disk on the top of the crucible assembly.
4. Carefully take pure fused silica wool disks from the Pyrex tube and put them into the outer
shell using the Pyrex tube as a guide. Put more pure fused silica wool disks into the outer shell
until their height is approximately 80 mm.
5. Put a graphite disk into the outer shell on the top of the pure fused silica wool disks.
Push down the graphite disk until the height of pure fused silica wool disks decreases to
approximately 40 mm using the Pyrex tube and fused silica well as guides (keep the surface
of fused silica well clean during the entire assembling process). Insert the fused silica well
through the holes of graphite disks and pure fused silica wool disks into the well of the
crucible assembly to check the assembly. Next, take the fused silica well out of the outer shell.
6. Repeat steps 4 and 5 until ve graphite disks and enough pure fused silica wool disks are
assembled into the outer shell as shown in Figure 2.
Caution W
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Users Guide
7. Carefully assemble the stainless steel (SS) cap onto the top of the Purge Gas Connection
Assembly as shown in Figure 2.
8. Keep the outer surface of the fused silica cell clean to prevent devitrication. Clean the outer
surface of the cell and the cell support container (basket) before assembling the cell into
the container. Use only clean tissue and Reagent Grade alcohol for the cleaning. Put pure
fused silica (quartz glass) wool felt with a thickness about 1 inch on the inner bottom of the
container as cushion.
9. Insert the cell into the cell basket in the furnace.
Purge Gas Connection
Cooling
Water Ports
Valve Support Bracket
Cooling Flange
Reentrant Tube
Graphite Crucible
High Purity
Metal Sample
gpv002.eps
Figure 2. The Fluke Open Metal Freezing Point Cell
10. Connect the outlet of the vacuum valve to the pumping and lling system according to the
attached Swagelok tube tting instructions.
11. Open the vacuum valve and pump the cell using a mechanical vacuum pump. The vacuum
pressure will decrease to about 0.01 Torr. If the pressure does not decrease, check and tighten
all of the screws.
8
Page 15
Background Information
Theoretically the melting and freezing temperatures for an ideal pure metal are identical.
However, with the introduction of impurities in the metal, the melting and freezing equilibrium
points are usually slightly lower. The freezing plateau of an ideal pure metal is conceptually at.
The only exception is during the supercool. Impurities in the metal generally introduce a slightly
negative slope to the plateau. Most of the different types of impurities will cause a drop in the
freezing plateau. For example, gallium impurities in tin will cause a drop in the freezing plateau.
Different types of impurities can cause an increase in the plateau. For example, gold impurities
in silver will cause the freezing plateau to increase. An extremely high purity metal, 99.9999 %
or higher, behaves very closely to an ideal pure metal. Figure 3shows the difference between a
freeze of an ideal pure metal and a high-purity metal. The approximate effect of the impurity on
the equilibrium point can be calculated using the rst cryoscopic constant. This calculation is
discussed in the Guidelines for Realizing the International Temperature Scale of 1990 (ITS-90).
For general uncertainty comparisons, the rst cryoscopic constant, the metal purity requirement,
and the difference in the liquidus point are outlined in Table 5. In a modern temperature standard
laboratory using a SPRT, a temperature change as low as 0.01 mK (0.00001 °C) can be detected.
Therefore, the best technique for realizing the freezing point with a real sample is one that
measures a temperature nearest to the freezing point of the ideal pure metal. The beginning of the
freezing curve of a high purity metal is the closest temperature to the ideal freezing point which
can be obtained in a modern temperature standard laboratory. A slow induced freezing technique
was found to t the purpose best (the details of the technique are described in the section
Procedure for Realizing the Freeze). A very slow freeze allows enough time to calibrate a number
of SPRTs at the initial portion of a single freeze.
Metal Freeze Point Cell
Background Information
Table 5. Summary of the First Cryoscopic Constants and the Estimated Effects of Impurities
Substance1st Cryoscopic
Constant
Indium0.00732/K99.99999 %-0.01 mK
Tin0.00329/K99.9999 %-0.3 mK
Zinc0.00185/K99.9999 %-0.5 mK
Aluminum0.00149/K99.9999 %-0.7 mK
Silver0.000891/K99.9999 %-1.1 mK
Gold0.000831/K99.9999 %-1.2 mK
Copper0.000857/K99.9999 %-1.2 mK
Impurity LevelDeviation from Pure
Liquidus Point
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660.38
Temperature (° C )
Users Guide
660.36
660.34
660.32
660.30
660.28
660.26
660.24
660.22
0246 8101214161820
Theoretical freezing curveofanideal pure metalwithout supercool
Freezing curve of an ideal pure metalwithsupercool
Freezing curve of a realhigh-purity metal
Time (hours)
Figure 3. Freezing Curve Comparison of One Cell
gpv003.eps
The induced technique generates two liquid-solid interfaces in the cell. A continuous liquid-solid
interface that, as nearly as is practical, encloses the sensor of the SPRT being calibrated. Another
liquid-solid interface is formed on the wall of the graphite crucible. In such a situation, the outer
interface advances slowly as the liquid continues to solidify. Ideally this generates a shell that
continues to be of uniform thickness completely surrounding the liquid, which itself surrounds the
inner liquid-solid interface that is adjacent to the thermometer well (Figure 4). The inner interface
is essentially static except when a specic heat-extraction process takes place. For example,
the insertion of a cool replacement thermometer. It is the temperature of the inner liquid-solid
interface that is measured by the thermometer. Sometimes the inner liquid-solid interface is called
the dening temperature interface.
10
Page 17
Top Zone
Heater
Top Zone
Controller
419.03 C
UP
SET
DOWN
Dierential TCs
SPRT Equilibration
EXIT
Block
Metal Freeze Point Cell
Background Information
Main Controller
PRT Sensor
419.03 C
SET DOWN UP EXIT
TOP END ZONE
Main Heater
Dierential TCs
Bottom Zone
Controller
419.03 C
UP
SET
DOWN
EXIT
Bottom Zone
Heater
Freeze-P oint
Cell
PRIMARY ZONE
Cell Support
Container
Thermal Block
(3 zone subdivision)
BOTTOM END ZONE
Water Cooling
Coils
Supercooling
Gas Supply
(Argon)
Figure 4. 9114 Furnace Interior with Freeze Point Cell, Cross Sectional View
gpv005.eps
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5924/5925/5926/5927/5928/5929
Users Guide
Top Support
Cooling Water Port
Block
Retaining Plate
Entrant W ell
Purge Gas Connection
Cooling Flange
Top Cover
Cutout Thermocouple
Cooling Coils
Heating Element
Control and Cutout
Thermocouple
Metal Freeze Point Cell
Heat Pipe
Ceramic Fiber
Insulation
Air Gap
(Circulating Air)
Bottom Support
Figure 5. 9115A/9116A Furnace Interior with Freeze Point Cell, Cross Sectional View
Block
gpv006.eps
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Fiber Ceramic Insulation
Cell Containment Vessel or “Basket”
Metal Freeze Point Cell
Background Information
Fiber Ceramic Paper to Center Cell in Basket
Metal Freeze Point Cell
(Cell Interior Construction Shown)
Fiber Ceramic Cushion
gpv010.eps
Figure 6. The Metal Freezing Point Cell in the Cell Containment Vessel (Basket)
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5924/5925/5926/5927/5928/5929
eF
Users Guide
Shell
Graphite Crucible
Liquid Sample
Solid Sample
Reentrant Tube
Melting Stat
Figure 7. Two Liquid-solid Interfaces in the Cell
reezing State
gpv004.eps
It is extremely important to follow the instructions in this manual to ensure that there is a
uniform, stable, and controlled temperature environment when you enclose the xed point cell.
Fluke has developed three designs of xed point furnaces to help you create this stable controlled
environment. The Model 9114 furnace has three independent heaters and controllers designed to
be used for a temperature range up to 680 °C as shown in Figure 4.
The Model 9115A Furnace with a sodium-in-inconel heat-pipe is designed for a temperature
range from 500 °C through 1000 °C. Although the 9115A furnace can be used up to 1100 °C, the
longevity of the heat pipe may be shortened if used above 1000 °C for an extended period of time.
The Model 9116A furnace (Figure 5) has a higher temperature range and is designed for extended
use above 1000 °C, or more specically, the freezing point of copper (1084.62 °C).
14
Page 21
Table 6. The Furnaces for Fixed Points and their Temperature Uniformity
The freezing point of indiumModel 9114 furnace, three zones±0.02 °C
The freezing point of tinModel 9114 furnace, three zones±0.02 °C
The freezing point of zincModel 9114 furnace, three zones±0.02 °C
The freezing point of aluminumModel 9114 furnace, three zones±0.03 °C
The freezing point of aluminumModel 9115 furnace, heat pipe±0.03 °C
The freezing point of silverModel 9115 furnace, heat pipe±0.05 °C
The freezing point of copperModel 9116 furnace, single zone±0.2 °C
The cell should be placed into the cell containment vessel before insertion into any furnace.
The ideal conguration is to keep the cell in its own unique vessel. The cell containment vessel
(basket) for the Model 9114 furnace is shown in Figure 6. The 9115A and 9116A furnaces use a
fused silica glass (quartz) cell basket to support and enclose the freezing point cell. A minimum of
50 mm (2 in) ber ceramic insulation is placed in the bottom of the cell basket to protect the cell.
Maintaining the Cell with Argon
It is recommended to maintain the cell in argon which will increase the life span of the cell. To
maintain the cell with argon:
1. Connect the cell to a pumping and lling system.
2. Check all of the connections to make sure they are in good condition.
3. Check the seven screws on the cap to see if they are tight enough and tighten a little, if
necessary.
4. Start pumping by using a mechanical vacuum pump. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
-2
1e
Torr again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
5. Pump the cell using a diffusion pump or molecular pump for at least 4 hours. Rinse the cell
with 99.999 % pure argon three or four times and ll the cell with pure argon to a pressure
that is slight higher than local atmosphere pressure.
6. Close all valves.
Metal Freeze Point Cell
Maintaining the Cell with Argon
Vertical Temperature Gradient Adjustment
The vertical temperature gradient has to meet the requirement before the sample is to be melted.
Otherwise, the cell may be broken. Therefore, the vertical temperature gradient should always be
measured after the cell is installed and checked at least every six months. The 9114 furnace is a
three-zone furnace whose gradient can be adjusted through the top and bottom zone heaters. The
9115A/9116A furnaces incorporate sodium heat pipes that distribute heat sufcient and uniform
enough that temperature a gradient adjustment is not required.
Vertical temperature gradient test method (9114 only):
1. Set the furnace temperature 5 °C below the melting point of the sample. For example, the
melting point temperature of Zinc is 419.527 °C; the furnace temperature should be set to
414.5 °C. After the display temperature reaches the set point temperature, allow the furnace
and cell to stabilize for 4-hours before proceeding.
2. Starting with the SPRT fully immersed at the bottom of the cell, record temperature
measurements along the vertical axis of the cell in increments of 50 mm, up to 180 mm from
the bottom of the cell. Allow a stabilization time of 2-minutes at each point before recording a
measurement.
The vertical temperature requirements are listed in Table 6. If the furnace does not meet the
requirement, the vertical temperature gradient should be adjusted through the top and bottom
15
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heater, see the sections named “End Zone Controllers” and “Nulling the Zone Controllers” in the
9114 Users Guide.
For installation of the 592X xed point cells, you must combine the process of vertical
temperature gradient measurement and the process of pressure adjustment in the cell (see
“Maintaining the Cell with Argon” in this manual).
Controller Display Accuracy Adjustment
The Controller Display does not have to be veried for accuracy when maintaining a cell with an
external temperature display instead of the Controller Display. If you are not using an external
temperature display, there are instances where display accuracy is important and needs to be
veried for accuracy. Those instances are:
• The controller accuracy should be checked to know the offset using a calibrated SPRT (for
9114 and 9115) or a thermocouple (for 9116). The offset should be considered or corrected
during the realization of xed points.
• The controller accuracy should be corrected after the vertical temperature gradient is adjusted.
The accuracy can change after temperature gradient is adjusted.
• The controller accuracy should be checked after the sample fully melted in every realization
of xed point. Please refer to the 9114/9115/9116 Furnace Users Manual for the accuracy
adjustment method.
To check the accuracy of the Controller Display, A calibrated SPRT or thermocouple should be
used. Thermocouple accuracy is not sufcient for the realization of the copper cell.
Use the this procedure to get the realization of the copper cell:
1. Raise the furnace to a temperature of 5 °C to 6 °C above the melting point with a ramp of
0.5 °C/min. Record the emf E(Cu) of the thermocouple during the melting plateau.
2. After the copper is melted, decrease the furnace to 2 °C above the freezing point. Maintain
the furnace at this temperature for at least 4 hours or longer.
3. Check the accuracy of the furnace at the set temperature. When the temperature stabilizes
at this temperature, record the emf E1. The actual temperature t can be calculated using the
following equation:
t = 1084.62 °C + (E1 – E(Cu)) / dE/dt
dE/dt is 13.6 µV/°C for a Type R thermocouple, and 11.8 µV/°C for a Type S thermocouple.
4. Compare the calculated actual temperature and the furnace set temperature.
Example: The furnace set temperature is 1085.6 °C and the calculated actual temperature is
1086.0 °C, the correction is 0.4 °C. Fluke recommends that this be performed each time.
16
Page 23
Metal Freeze Point Cell
Procedure for Realizing the Freeze (In, Zn, Al, Ag, and Cu Fixed Points)
Procedure for Realizing the Freeze (In, Zn, Al, Ag, and Cu Fixed
Points)
Warning W
Due to different vapor pressure at the freezing points, the pumping and
lling procedures are different for different xed-points.
This is the recommended procedure to realize the freezing point of 592X xed point cells. Other
procedures are sometimes employed in industry. These procedures provide a very stable, long
freezing plateau that typically lasts for more than ten hours. The changes in temperature in the
rst half of the plateau are usually within ±0.2 mK to ±0.3 mK. A typical freezing curve is shown
in Figure 8.
Realization of the Freezing Point of In
1. Connect a mechanical vacuum pump and start pumping. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
1e-2 Torr, again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
2. Turn-on the high vacuum system (diffusion pump or molecular pump), and open high vacuum
valve to pump cell. The vacuum should be at 1e-5 Torr or lower.
3. Insert an SPRT into the reentrant well of the cell to monitor the temperature of the cell.
4. Make sure the vertical temperature gradient of the furnace with the cell is good enough. The
furnace vertical temperature gradient should be checked and adjusted if necessary at rst
operation and therefore every 6 months, refer to the 9114 Users Manual.
5. Turn-on the power to the furnace, and raise the temperature to 162 °C with a rate of 3 °C/min,
while pumping continually. During this period, rinse the cell with pure argon (99.999 %) two
or three times.
6. As soon as the indium is melted, change furnace temperature down to 2 °C higher than
freezing point temperature of indium (158.6 °C). Rinse the cell with pure argon (99.999 %)
two or three times. Fill the argon to the cell. Adjust the pressure close to the standard
atmosphere and record the actual pressure in order to make the correction for the pressure
differences as shown in the section “The Correction for Pressure Difference”.
7. Stabilize the temperature for two hours.
8. Set the furnace temperature to 3 °C below the freezing point temperature (153.6 °C)
decreasing at a rate of 0.1 °C/min.
9. When recalescence is observed, remove the SPRT. Insert a room temperature quartz rod for 1
minute or quartz tube for 2 minutes (creates “double freeze”).
10. Set the furnace to 1 °C below the freezing point temperature (155.6 °C)
11. The rst SPRT (check SPRT) to be calibrated is inserted into reentrant well and measurements
are made after the cell and SPRT are in the equilibrium. The rst SPRT is at room temperature
at the time of insertion. The furnace temperature is kept at a stable temperature of 1°C below
the freezing point.
12. After all SPRTs are measured, set the furnace temperature at 20 °C with a rate of 2 °C/min.
13. The cell should be pumped for 10 minutes in the second day. At that time, the furnace
temperature should close to room temperature. Fill pure argon to a pressure that is slightly
higher than local atmosphere pressure.
14. Close all valves and turn-off the furnace.
17
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Realization of the Freezing Point of Sn
1. Connect a mechanical vacuum pump and start pumping. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
1e-2 Torr again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
2. Turn-on the high vacuum system (diffusion pump or molecular pump), and open the high
vacuum valve to pump cell. The vacuum should decrease to 1e-5 Torr or lower.
3. Insert an SPRT into the reentrant well of the cell to monitor the temperature of the cell.
4. Make sure the vertical temperature gradient of the furnace with the cell is good enough. The
furnace vertical temperature gradient should be checked and adjusted if necessary at rst
operation and every 6 months after, refer to the 9114 manual.
5. Turn-on the power to the furnace, and raise the temperature to 238 °C with a rate of 3 °C/min,
while pumping continually. During this period, rinse the cell with pure argon (99.999 %) two
or three times.
6. As soon as the tin is melted, decrease the furnace temperature to 2 °C higher than freezing
point temperature of tin (233 °C). Rinse the cell with pure argon (99.999 %) two or three
times. Fill the cell with argon. Adjust the pressure close to the standard atmosphere and
record the actual pressure in order to make the correction for the pressure differences as
shown in Chapter 7.
7. Stabilize the temperature for two hours.
8. Set the furnace temperature to 3 °C below freezing point temperature (228 °C) with a
decrease rate of 0.1 °C/min.
9. When the temperature indicated by a thermometer immersed in the tin sample reaches the
freezing point, using the Model 9114 furnace, introduce a cold gas ow upward around the
outer surface of the cell until recalescence. “Cold gas ow” means compressed air at an
approximate rate of 5-20 liter/min. (0.2 CFM to 0.7 CFM) and roughly 200 kPa (29 psia).
10. When recalescence is observed, turn-off the cold gas ow. Remove the SPRT and insert two
room temperature quartz rods one-by-one for 2 minutes each (creates “double freeze”).
11. Set the furnace to 1 °C below freezing point temperature (230.9 °C)
12. The rst SPRT (check SPRT) to be calibrated is inserted into reentrant well and measurements
are made after the cell and SPRT are in the equilibrium. The rst SPRT is at room temperature
at the time of insertion. The furnace temperature is kept at a stable temperature of 1 °C below
the freezing point.
13. After all SPRTs are measured, set the furnace temperature at 20 °C with a rate of 2 °C/min.
14. The cell should be pumped for 10 minutes in the second day. At that time, the furnace
temperature should close to room temperature. Fill the cell with pure argon to a pressure that
is slightly higher than local atmosphere pressure.
15. Close all valves and turn-off the furnace.
18
Page 25
Realization of the Freezing Point of Zn
1. Connect a mechanical vacuum pump and start pumping. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
1e-2 Torr again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
2. Turn-on the high vacuum system (diffusion pump or molecular pump), and open the high
vacuum valve to pump cell. The vacuum pressure should decrease to 1e-5 Torr or lower.
3. Insert an SPRT into the reentrant well of the cell and monitor the temperature of the cell.
4. Make sure the vertical temperature gradient of the furnace with the cell meets the criteria
described in Table 6. The furnace vertical temperature gradient should be checked and
adjusted if necessary at rst operation and every 6 months after, refer to the 9114 Users
Manual.
5. Turn-on the power to the furnace, and increase the temperature to 250 °C with a rate of 3 °C/
min, while pumping continually.
6. The furnace should be maintained at 250 °C for 2 hours, while pumping continually.
7. Rinse the cell with pure argon (99.999 %) two or three times. Fill the cell with argon to a
pressure of 80 kPa.
8. Increase the furnace temperature to 425 °C with a rate of 3 °C.
DO NOT pump the cell for more than 10 seconds.
9. As soon as the temperature of the monitor SPRT reach 419.527 °C (melting point), pump
the cell for 10 seconds using a mechanical pump. Fill the cell with pure argon. Adjust the
pressure close to the standard atmosphere and record the actual pressure in order to make the
correction for the pressure differences as shown in the section “The Correction for Pressure
Difference”.
10. As soon as the zinc is melted, decrease the furnace temperature to 2 °C higher than the
freezing point temperature of zinc (421.5 °C).
11. Stabilize the temperature for two hours.
12. Set furnace temperature 2 °C below freezing point temperature (417.5 °C) with a decrease
rate of 0.1 °C/min.
13. When recalescence is observed, remove the SPRT and insert a quartz rod at room temperature
for 1 minute or quartz tube for 2 minutes (creates “double freeze”).
14. Set the furnace 1 °C below freezing point temperature (418.5 °C).
15. Insert the rst SPRT (check SPRT) to be calibrated into the reentrant well measure after
the cell and SPRT are in equilibrium. The rst SPRT is at room temperature at the time of
insertion. Keep the furnace temperature at a stable temperature of 1 °C below the freezing
point.
16. After all SPRTs are measured, set the furnace temperature at 20 °C with a rate of 2 °C/min.
17. Pump the cell for 10 minutes in the second day. At that time, the furnace temperature should
close to room temperature. Fill the cell with pure argon to a pressure that is slightly higher
than local atmosphere pressure.
18. Close all valves and turn-off the furnace.
Metal Freeze Point Cell
Procedure for Realizing the Freeze (In, Zn, Al, Ag, and Cu Fixed Points)
Warning W
19
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0.6552574
0.6552569
0.6552564
0.6552559
0.6552554
0.6552549
0.6552544
0.6552539
F18 Bridge reading (Rt/Rs)
0.6552534
0.6552529
10/8
10:00
10/8
13:00
10/8
16:00
10/8
19:00
10/8
22:00
10/9
1:00
Date and time
10/9
4:00
10/9
7:00
0.5mK
10/9
10:00
10/9
13:00
Figure 8. A Typical Freezing Curve for the Zinc Cell
Realization of the Freezing Point of Al
1. Connect a mechanical vacuum pump and start pumping. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
1e-2 Torr again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
2. Turn-on the high vacuum system (diffusion pump or molecular pump), and open high vacuum
valve to pump cell. The vacuum should be at 1e-5 Torr or lower.
3. Insert an SPRT into the reentrant well of the cell and monitor the temperature of the cell.
4. Make sure the vertical temperature gradient of the furnace with the cell meets the criteria
described in Table 6. The furnace vertical temperature gradient should be checked and
adjusted if necessary at rst operation and every 6 months after, refer to the 9114 Users
Manual.
5. Turn-on the power to the furnace, and increase the temperature to 600 °C with a rate of 3 °C/
min, while pumping continually.
6. The furnace should be maintained at 600 °C for 2 hours, while pumping continually.
7. Rinse the cell with pure argon (99.999 %) two or three times. Fill the cell with argon to a
pressure of 94 kPa.
8. Increase the furnace temperature to 665.5 °C with a rate of 3 °C.
DO NOT pump the cell for more than 10 seconds.
W
Warning
gpt009.eps
9. As soon as the temperature of the monitor SPRT reach 660.323 °C (melting point), pump
the cell for 10 seconds using mechanical pump. Fill the cell with pure argon. Adjust the
pressure close to the standard atmosphere and record the actual pressure in order to make the
correction for the pressure differences as shown in the section “The Correction for Pressure
Difference.”
10. As soon as the aluminum is melted, decrease the furnace temperature to 2 °C higher than
freezing point temperature of aluminum (662.5 °C).
11. Let the temperature to stabilize for two hours.
20
Page 27
Procedure for Realizing the Freeze (In, Zn, Al, Ag, and Cu Fixed Points)
12. Set the furnace temperature to 2 °C below freezing point temperature (658 °C) with a
decrease rate of 0.1 °C/min.
13. When recalescence is observed, remove the SPRT and insert a quartz rod at room temperature
for 1 minute or quartz tube for 2 minutes (creates “double freeze”).
14. Set the furnace to 1 °C below freezing point temperature (659.4 °C)
15. Insert the rst SPRT (check SPRT) to be calibrated into the reentrant well measure after
the cell and SPRT are in equilibrium. The rst SPRT is at room temperature at the time of
insertion. Keep the furnace temperature at a stable temperature of 1 °C below the freezing
point.
16. After all SPRTs are measured, set the furnace temperature at 20 °C with a rate of 2 °C/min.
17. Pump the cell for 10 minutes in the second day. At that time, the furnace temperature should
close to room temperature. Fill the cell with pure argon to a pressure that is slightly higher
than local atmosphere pressure.
18. Close all valves and turn-off the furnace.
Realization of the Freezing Point of Ag
Since the silver cell is maintained in either the 9115A or 9116A, which
incorporate a sodium heat pipe, adjustment for vertical temperature gradient is
not necessary.
1. Connect a mechanical vacuum pump and start pumping. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
1e-2 Torr again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
2. Turn-on the high vacuum system (diffusion pump or molecular pump), and open high vacuum
valve to pump cell. The vacuum should be at 1e-5 Torr or lower.
3. Turn-on the power to the furnace, and increase the temperature to 800 °C with a rate of 3 °C/
min, while pumping continually.
4. The furnace should be maintained at 800 °C for 2 hours, while pumping continually.
5. Rinse the cell with pure argon (99.999 %) two or three times. Fill the cell with argon to a
pressure of 90 kPa.
6. Increase the furnace temperature to 966 °C with a rate of 3 °C.
Metal Freeze Point Cell
Note
W
Warning
DO NOT pump the cell for more than 10 seconds.
7. As soon as the temperature of the monitor SPRT reach 961.78 °C (melting point), pump
the cell for 10 seconds using a mechanical pump. Fill the cell with pure argon. Adjust the
pressure close to the standard atmosphere and record the actual pressure in order to make the
correction for the pressure differences as shown in the section “The Correction for Pressure
Difference.”
8. As soon as the silver is melted, decrease the furnace temperature to 2 °C higher than the
freezing point temperature of silver (963.8 °C).
9. Let the temperature to stabilize for two hours.
10. Set the furnace temperature to 2 °C below freezing point temperature (959.8 °C) with a
decrease rate of 0.1 °C/min.
11. When recalescence is observed, remove the SPRT and insert a quartz rod at room temperature
for 1 minute or quartz tube for 2 minutes (creates “double freeze”).
12. Set the furnace to 1 °C below freezing point temperature (960.8 °C)
13. Insert the rst SPRT (check SPRT) to be calibrated into the reentrant well measure after
the cell and SPRT are in equilibrium. The rst SPRT is at room temperature at the time of
insertion. Keep the furnace temperature at a stable temperature of 1 °C below the freezing
point.
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14. After all SPRTs are measured, set the furnace temperature at 20 °C with a rate of 2 °C/min.
15. Pump the cell for 10 minutes in the second day. At that time, the furnace temperature should
close to room temperature. Fill pure argon to a pressure that is slightly higher than local
atmosphere pressure. Close all valves. Turn the furnace power off.
Realization of the Freezing Point of Cu
Since the copper cell is maintained in the 9116A, which incorporates a sodium
heat pipe, adjustment for vertical temperature gradient is not necessary.
1. Connect a mechanical vacuum pump and start pumping. When the pressure reaches
approximately 1e-2 Torr, open the vacuum valve slowly. If the pressure reaches approximately
1e-2 Torr again (it might take about 30 minutes), it indicates that all the connections and seals
are in good condition. If not, check all connections and sealing one-by-one.
2. Turn-on the high vacuum system (diffusion pump or molecular pump), and open the high
vacuum valve to pump cell. The vacuum should down to 1e-5 Torr or lower.
3. Turn-on the power to the furnace, and increase the temperature to 850 °C with a rate of 3 °C/
min, while pumping continually.
4. The furnace should be maintained at 850 °C for 2 hours, while pumping continually.
5. Rinse the cell with pure argon (99.999 %) two or three times. Fill the cell with argon to a
pressure of 84 kPa.
6. Increase the temperature of the furnace to 1091 °C with ramp rates as the follows: =3 °C/min
below 1000 °C, =2 °C/min below 1070 °C, and =1 °C/min below 1091 °C.
Note
W
Warning
DO NOT pump the cell for more than 10 seconds.
7. As soon as the temperature of the monitor TC reach 1084.62 °C (melting point), pump
the cell for 10 seconds using a mechanical pump. Fill the cell with pure argon. Adjust the
pressure close to the standard atmosphere and record the actual pressure in order to make the
correction for the pressure differences as shown in the section “The Correction for Pressure
Difference.”
8. As soon as the copper is melted, decrease the furnace temperature down to 2 °C higher than
freezing point temperature of copper (1086.6 °C).
9. Let the temperature to stabilize for two hours.
10. Set furnace temperature 2 °C below freezing point temperature (1082.6 °C) with a decrease
rate of 0.1 °C/min.
11. When recalescence is observed, remove the TC and insert a quartz rod at room temperature
for 1 minute or quartz tube for 2 minutes (creates “double freeze”).
12. Set the furnace to 1 °C below freezing point temperature (1083.6 °C)
13. Insert the rst TC to be calibrated into the reentrant well measure after the cell and SPRT are
in equilibrium. The rst TC is at room temperature at the time of insertion. Keep the furnace
temperature at a stable temperature of 1 °C below the freezing point.
14. After all thermocouples are measured, set the furnace temperature at 20 °C with a rate of
2 °C/min.
15. Pump the cell for 10 minutes in the second day. At that time, the furnace temperature should
close to room temperature. Fill pure argon to a pressure that is slightly higher than local
atmosphere pressure. Close all valves. Turn the furnace power off.
22
Page 29
SPRT Care At High Temperatures
Each SPRT calibrated at temperatures above 500 °C is subjected to “quenched in lattice vacancy
defect” when the SPRT is removed from the furnace. This quenched in lattice vacancy defect must
be removed before calibration at the triple point of water. Therefore, when the SPRT is removed
from the cell, place SPRT in an auxiliary furnace set at the same temperature as the xed point.
Slowly cool the SPRT at a rate of roughly 100 °C/hour above 500 °C. Once the SPRT has reached
500 °C, it may be removed directly to room temperature.
The Correction for the Pressure Difference
This is the procedure used in the Fluke lab with the Fluke Sealed Fixed-point Cells. Other
procedures are sometimes employed in industry.
With few exceptions, the temperature values assigned to the dening ITS-90 xed-points
correspond to temperatures at standard atmospheric pressure (101.325 kPa). The actual pressure
in a cell may not be the standard value. For example, it is more practical during the manufacturing
process to seal the cell while cell pressure is slightly lower than ambient pressure. The actual
pressure in the cell at the xed-point temperature is provided on the Report of Test, making the
correction calculation for the pressure difference possible.
A metal xed-point cell will exhibit a temperature gradient relative to immersion depth due to the
hydrostatic pressure of the metal. Corrections for hydrostatic pressure can be applied using the
ITS-90 pressure coefcients listed in Table 7.
Metal Freeze Point Cell
SPRT Care At High Temperatures
Table 7. Hydrostatic Head Correction Coefcients
Assigned Value
Substance
Argon (T)83.8058253.30.004342
Mercury (T)234.31565.47.10.004037
Water (T)273.16–7.5–0.730.003989
Gallium (M)302.9146–2.0–1.20.003952
rin0Indium (F)429.74854.93.30.003801
Tin (F)505.0783.32.20.003713
Zinc (F)692.6774.32.70.003495
Aluminum (F)933.4737.01.60.003205
Silver (F)1234.936.05.40.002841
Gold (F)1337.336.110—
Copper (F)1357.773.32.6—
(T) – Triple Point
(M) – Melting Point
(F) – Freezing Point
of Equilibrium
Temperature
T Kelvin (K)
Temperature
with Pressure,
p K1; dT/dp
(10-5 mK/Pa)
Variation with
Depth K2 : dT/dh
(mK/m)
Approximate
dW/dt
The correction of temperature caused by the difference in pressure can be calculated by using the
following equation:
Equation 1: Pressure Dependent Temperature Correction
Δt = (P − P0) × k1 + h × k2)
Where:
P = the actual pressure of argon in the cell at the xed point temperature
P0 = the standard atmospheric pressure. For example, 101.325 kPa
dT
k1 =
dP
23
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Users Guide
dT
k2 =
dh
and
h = the immersion depth of the midpoint of the sensor of a SPRT into the metal used for the xed
point
The immersion depth of the midpoint of a SPRT sensor in Fluke metal freezing point cell is
approximately 0.18 m (the distance from the bottom of the central well to the surface of liquid
metal is about 0.195 m). The actual pressure of the argon at the freezing point in the cell, p,
is provided in the Report of Test. The temperature correction, Δt, can be calculated using
Equation 1.
Example:
The pressure of argon at the freezing point in the aluminum freezing point cell S/N 5907-5AL004
is 80,817 Pa as given in the Report of Test. k1 and k2 for the freezing point of aluminum can be
found in Table 5, k1 = 7.0 * 10–5 mK / Pa and k2 = 1.6 mK/m. The average immersion depth
is 0.17 m for most of the standard platinum resistance thermometers. Thus, use Equation 1 to
calculate Δt.
Substituting values into Equation 1:
(80,817Pa – 101,325 Pa)
7.0 x 10
Pa
-5
mK
+ 0.17 m
1.6 mK
m
= –1.44 mK + 0.27 mK
Consequently:
Δt = −1.164 mK
The actual temperature of a sensor of a SPRT at the point of total immersion during a freezing
plateau in the cell is calculated using Equation 2.
Equation 2: Calculation of the Actual Temperature, t
1
t1 = t + Δt
Thus:
t1 = 660.323 °C − 0.001164 °C = 660.32183 °C
Where t is the dening xed point temperature. For example, 660.323 °C for the freezing point of
aluminum.
The resistance ratio (WAl for the particular cell exactly at the freezing point of aluminum) can be
calculated using the following equation. The value for dW/dt is taken from Table 7.
Equation : Calculation of WAl for the exact dening xed point temperature.
W
Al
= W(
t
) − [Δt]
1
dW
dt
Substituting values:
3.37600860 – (–0.001164) x (3.204971 x 10-3)
24
Thus the WAl for the cell is:
WAl = 3.37601233
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