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<strong>Comparison</strong> <strong>of</strong> <strong>Calibration</strong> <strong>Methods</strong> <strong>for</strong> <strong>Radiation</strong> <strong>Thermomemeter</strong> below the<br />

Freezing Point <strong>of</strong> Copper at NIMT<br />

P. Wongnut 1,2 , T. Keawprasert 1 , U. Norranim 1<br />

1 National Institute <strong>of</strong> Metrology Thailand, 3/4-5, Klong 5, Klong Luang, Pathumthani 12120, Thailand<br />

2 To whom correspondence should be addressed. E-mail: phichet@nimt.or.th<br />

NIMT has established the calibration facility <strong>for</strong><br />

radiation thermometers in the temperature range from<br />

o<br />

o<br />

157 C to 1085 C by comparison with fixed-points. To<br />

determine the radiance temperature by integration<br />

scale, a double monochromator-based facility has<br />

been set up <strong>for</strong> the relative spectral responsivity<br />

calibration over the region from 250 to 1200 nm. Both<br />

calibration methods use Sakuma-Hattori equation to<br />

fit the measurement results. The spectral integration<br />

temperature scale is compared with the radiance scale<br />

obtained by using the fixed-point blackbody sources<br />

INTRODUCTION<br />

At National Institute <strong>of</strong> Metrology Thailand (NIMT),<br />

the calibration <strong>of</strong> standard radiation thermometers was<br />

normally based on a series <strong>of</strong> fixed-point blackbody<br />

sources with the temperature range from the freezing<br />

point <strong>of</strong> indium (156.5985 o C) to copper (1084.62 o C),<br />

without their spectral responsivity measurement [1].<br />

Recently a monochromator facility has been set<br />

up to calibrate the spectral responsivity <strong>of</strong> standard<br />

radiation thermometers <strong>of</strong> NIMT. Such a 0.65 μm<br />

standard radiation thermometer was calibrated using a<br />

copper point blackbody source in combination with a<br />

spectral responsivity measurement and a non-linearity<br />

measurement, and then it can be used to realize the<br />

ITS-90 scale up to 2,500 o C.<br />

Likely, in case <strong>of</strong> a 0.9 μm standard radiation<br />

thermometer and a 1.6 μm standard radiation<br />

thermometer, it is able to determine the independent<br />

scale with the spectral responsivity calibration to<br />

verify the scale from the multi fixed-points method<br />

[2]. In this article, both <strong>of</strong> calibration methods are<br />

per<strong>for</strong>med <strong>for</strong> the 0.9 μm standard radiation<br />

thermometer to compare the integration scale with the<br />

multi fixed-point temperature scale at the fixed-point<br />

temperatures in the range from Zn point to Cu point.<br />

CALIBRATION METHODS<br />

Fixed-Point Method<br />

A 0.9 μm standard radiation thermometer is<br />

calibrated with the fixed-points from zinc (419.527◦C)<br />

to copper (1084.62◦C). Each fixed-point blackbody<br />

has an aperture <strong>of</strong> 6 mm diameter and an effective<br />

emissivity <strong>of</strong> 0.9995±0.0005.<br />

All calibration data points <strong>of</strong> each artefact are<br />

fitted with the Plank version <strong>of</strong> Sakuma-Hattori<br />

equation. The residual errors at any fixed-points <strong>for</strong><br />

all radiation thermometers are less than ±5 mK.<br />

Spectral Responsivity Method<br />

The double-grating monochromator with 250 focal<br />

length covers the spectral range from 250 nm to<br />

1200 nm by using a diffraction grating with 1200<br />

lines/mm with a 750 nm blaze wavelength. A<br />

mercury lamp is used to calibrate and initialize the<br />

wavelength scale <strong>of</strong> the monochromator. There<strong>for</strong>e,<br />

its accuracy in the wavelength scale is better than<br />

0.1 nm. A standard Si photo diode, which absolute<br />

spectral irradiance is traceable to NMIJ, is directly<br />

compared to the radiation thermometer.<br />

For measurements, the spectral bandwidth <strong>of</strong> 1.0<br />

nm is per<strong>for</strong>med in the spectral bandpass <strong>of</strong> the<br />

radiation thermometer, and 10 nm in the blocking<br />

region. <strong>Calibration</strong> results <strong>of</strong> all standard radiation<br />

thermometers are shown in Fig. 1. The fine structure<br />

is investigated around the peak <strong>of</strong> spectral<br />

responsivity with the spectral bandwidth <strong>of</strong> 0.1 nm.<br />

Then an independent radiance temperature scale<br />

is realized by integrating the spectral responsivity<br />

R(λ) multiplied by the Planck function L(λ, T ),<br />

∫<br />

V ( T ) = a L(<br />

λ,<br />

T ) R(<br />

λ)<br />

dλ<br />

where the coefficient a was determined from signal<br />

at the silver or copper point. And the Sakuma-<br />

Hattori equation is used as the calibration relation.<br />

Relative Spectral Responsivity<br />

1.E+01<br />

1.E+00<br />

1.E-01<br />

1.E-02<br />

1.E-03<br />

1.E-04<br />

1.E-05<br />

1.E-06<br />

1.E-07<br />

400 500 600 700 800 900 1000 1100 1200<br />

Wavelength / nm<br />

650 nm radiation thermometer<br />

900 nm radiation thermometer<br />

Figure 1. Relative spectral responsivity <strong>of</strong> the standard<br />

radiation thermometers <strong>of</strong> NIMT.


DISCUSSION<br />

The combined uncertainty (k = 1) due to the fixedpoint<br />

blackbodies excluding drift is now 80 mK at Zn<br />

point to 100 mK at Cu point. Other sources <strong>of</strong> error<br />

due to the radiation thermometer such as size <strong>of</strong><br />

source effect, nonlinearity and gain ratio are not<br />

described in this article.<br />

In the measurements <strong>of</strong> spectral responsivity,<br />

relative integral errors in the bandpass are less than<br />

10 -4 <strong>for</strong> both 0.65 μm and 0.9 μm thermometers.<br />

Additionally the out-<strong>of</strong>-band responsivities <strong>of</strong> all<br />

thermometers are approximately 10 -5 . From the<br />

investigations in the fine structure, any interference<br />

effects are not found with the spectral bandwidth <strong>of</strong><br />

0.1 nm. That shows that all standard radiation<br />

thermometers have excellent optics systems which<br />

can eliminate the interference error. The relative<br />

uncertainties are 0.4 % and 0.5% <strong>for</strong> 0.65 μm and 0.9<br />

μm radiation thermometer respectively. The main<br />

component <strong>of</strong> uncertainty is due to the standard photo<br />

diode. However, with this relative uncertainty level,<br />

the uncertainty in temperature <strong>of</strong> the integration scale<br />

down to the Zn point is in the same level <strong>of</strong> the fixedpoint<br />

scale. More details <strong>for</strong> the uncertainty<br />

calculation is described in [3].<br />

For 0.9 μm radiation thermometer, the differences<br />

<strong>of</strong> radiance temperature with combined uncertainty<br />

between the fixed-point scale and the integral scale at<br />

the fixed-point temperatures are shown in Fig.2.<br />

While the same difference at the Ag point is 66 mK<br />

<strong>for</strong> 0.65 μm radiation thermometer.<br />

spectral responsivity. A 0.9 μm standard radiation<br />

thermometer is calibrated with fixed-points <strong>of</strong> Zn,<br />

Al, Ag and Cu to per<strong>for</strong>m its temperature scale. To<br />

verify the scale, an independent scale obtained from<br />

the integration <strong>of</strong> relative spectral responsivity and<br />

Planck’s law is realized. The maximum difference<br />

<strong>of</strong> both temperature scales is 0.71 ± 0.26 o C at the<br />

fixed-point temperature <strong>of</strong> Zinc.<br />

REFERENCES<br />

[1] F. Sakuma. and M. Kobayashi, in Proceeding <strong>of</strong>.<br />

TEMPMEKO 1997, 305-310, 1997.<br />

[2] H.J.Jung, in Proceedings <strong>of</strong> TEMPMEKO 1996, 235-<br />

244, 1997.<br />

[3] J. Hartmann and L.Werner, Int J Thermophys,<br />

DOI 10.1007/s10765-008-0383-3.<br />

0.8<br />

Difference from fixed-point scale<br />

0.4<br />

0.0<br />

-0.4<br />

-0.8<br />

-1.2<br />

400 600 800 1000 1200<br />

Fixed-point temperature / o C<br />

Figure 2. Differences <strong>of</strong> temperature at the 4 fixed-points<br />

CONCLUSION<br />

The double monochromator is set up to per<strong>for</strong>m the<br />

spectral responsivity calibration from 250 nm to 1200<br />

nm <strong>for</strong> standard radiation thermometers. A 0.65 μm<br />

standard radiation thermometer is calibrated with Ag<br />

or Cu fixed-point blackbody to extend its calibration<br />

range up to 2500 o C, combination with its relative

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