Time-resolved, photothermal-deflection spectrometry with step optical excitation: experiments

Jianqin Zhou; Jianhua Zhao; Jun Shen; Mauro Luciano Baesso

doi:10.1364/JOSAB.22.002409

Journal of the Optical Society of America B
Vol. 22,
Issue 11,
pp. 2409-2416
(2005)
•https://doi.org/10.1364/JOSAB.22.002409

Time-resolved, photothermal-deflection spectrometry with step optical excitation: experiments

Jianqin Zhou, Jianhua Zhao, Jun Shen, and Mauro Luciano Baesso

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Jianqin Zhou, Jianhua Zhao, Jun Shen, and Mauro Luciano Baesso, "Time-resolved, photothermal-deflection spectrometry with step optical excitation: experiments," J. Opt. Soc. Am. B 22, 2409-2416 (2005)

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Abstract

Recently a theoretical model for time-resolved photothermal-deflection spectrometry with step optical excitation was proposed on the basis of one-dimensional heat conduction treatment. We have experimentally investigated this technique. A fully automated experimental apparatus was built, and a least-squares curve-fitting process was developed to fit the time-resolved experimental data to the theoretical model. Consequently, thermal conductivity along the direction perpendicular to the sample surface and unit volume specific heat could be precisely determined simultaneously, even for highly anisotropic samples. Meanwhile, for a transparent sample, the optical absorption coefficient could be also measured. The experimental results are in good agreement with literature values.

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$β (m^{- 1})$	$10^{6}$	$10^{7}$	$10^{8}$	∞
$α_{s} (m^{2} s^{- 1})$	$5.00 \times 10^{- 6}$	$5.05 \times 10^{- 6}$	$5.07 \times 10^{- 6}$	$5.07 \times 10^{- 6}$
$χ^{2} ∕ (N - 1)$	$1.336 \times 10^{- 2}$	$1.493 \times 10^{- 2}$	$1.498 \times 10^{- 2}$	$1.498 \times 10^{- 2}$

Sample (thickness)	Glassy Carbon^a (2.08 mm)	BBP4 Graphite^b (3.12 mm)	Pyrolytic Graphite^b (1.66 mm)	Soda Lime Glass^c (2.74 mm)
$α_{s}$ (literature) $(m^{2} s^{- 1})$	$5 \times 10^{- 6}$	$8.8 \times 10^{- 6}$	—	$(4.97 \pm 0.07) \times 10^{- 7}$
$α_{s}$ (measured)^d $(m^{2} s^{- 1})$	$(5.00 \pm 0.02) \times 10^{- 6}$	$(8.73 \pm 0.08) \times 10^{- 6}$	$(2.48 \pm 0.03) \times 10^{- 7}$	$(5.07 \pm 0.03) \times 10^{- 7}$
$k_{s}$ (literature) $(W m^{- 1} K^{- 1})$	8	21	2	1.2
$k_{s}$ (measured)^d $(W m^{- 1} K^{- 1})$	—	$20.9 \pm 0.1$	$1.90 \pm 0.01$	$1.14 \pm 0.02$
$ρ_{s} c_{s}$ (literature) $(J m^{- 3} K^{- 1})$	$1.6 \times 10^{6}$	$2.4 \times 10^{6}$	—	$2.4 \times 10^{6}$
$ρ_{s} c_{s}$ (measured)^d $(J m^{- 3} K^{- 1})$	—	$(2.39 \pm 0.03) \times 10^{6}$	$(7.67 \pm 0.09) \times 10^{6}$	$(2.3 \pm 0.1) \times 10^{6}$
$ρ_{s} c_{s}$ (measured)^e $(J m^{- 3} K^{- 1})$	—	—	—	$(2.4 \pm 0.1) \times 10^{6}$
$E_{s}$ (literature) $(W s^{1 ∕ 2} m^{- 2} K^{- 1})$	$4 \times 10^{3}$	$7.0 \times 10^{3}$	—	$1.7 \times 10^{3}$
$E_{s}$ (measured)^d $(W s^{1 ∕ 2} m^{- 2} K^{- 1})$	—	$(7.07 \pm 0.06) \times 10^{3}$	$(3.82 \pm 0.02) \times 10^{3}$	$(1.61 \pm 0.09) \times 10^{3}$
$E_{s}$ (measured)^e $(W s^{1 ∕ 2} m^{- 2} K^{- 1})$	—	$(6.56 \pm 0.03) \times 10^{3}$	$(3.91 \pm 0.02) \times 10^{3}$	—

$β (m^{- 1})$	$10^{6}$	$10^{7}$	$10^{8}$	∞
$α_{s} (m^{2} s^{- 1})$	$5.00 \times 10^{- 6}$	$5.05 \times 10^{- 6}$	$5.07 \times 10^{- 6}$	$5.07 \times 10^{- 6}$
$χ^{2} ∕ (N - 1)$	$1.336 \times 10^{- 2}$	$1.493 \times 10^{- 2}$	$1.498 \times 10^{- 2}$	$1.498 \times 10^{- 2}$

Sample (thickness)	Glassy Carbon^a (2.08 mm)	BBP4 Graphite^b (3.12 mm)	Pyrolytic Graphite^b (1.66 mm)	Soda Lime Glass^c (2.74 mm)
$α_{s}$ (literature) $(m^{2} s^{- 1})$	$5 \times 10^{- 6}$	$8.8 \times 10^{- 6}$	—	$(4.97 \pm 0.07) \times 10^{- 7}$
$α_{s}$ (measured)^d $(m^{2} s^{- 1})$	$(5.00 \pm 0.02) \times 10^{- 6}$	$(8.73 \pm 0.08) \times 10^{- 6}$	$(2.48 \pm 0.03) \times 10^{- 7}$	$(5.07 \pm 0.03) \times 10^{- 7}$
$k_{s}$ (literature) $(W m^{- 1} K^{- 1})$	8	21	2	1.2
$k_{s}$ (measured)^d $(W m^{- 1} K^{- 1})$	—	$20.9 \pm 0.1$	$1.90 \pm 0.01$	$1.14 \pm 0.02$
$ρ_{s} c_{s}$ (literature) $(J m^{- 3} K^{- 1})$	$1.6 \times 10^{6}$	$2.4 \times 10^{6}$	—	$2.4 \times 10^{6}$
$ρ_{s} c_{s}$ (measured)^d $(J m^{- 3} K^{- 1})$	—	$(2.39 \pm 0.03) \times 10^{6}$	$(7.67 \pm 0.09) \times 10^{6}$	$(2.3 \pm 0.1) \times 10^{6}$
$ρ_{s} c_{s}$ (measured)^e $(J m^{- 3} K^{- 1})$	—	—	—	$(2.4 \pm 0.1) \times 10^{6}$
$E_{s}$ (literature) $(W s^{1 ∕ 2} m^{- 2} K^{- 1})$	$4 \times 10^{3}$	$7.0 \times 10^{3}$	—	$1.7 \times 10^{3}$
$E_{s}$ (measured)^d $(W s^{1 ∕ 2} m^{- 2} K^{- 1})$	—	$(7.07 \pm 0.06) \times 10^{3}$	$(3.82 \pm 0.02) \times 10^{3}$	$(1.61 \pm 0.09) \times 10^{3}$
$E_{s}$ (measured)^e $(W s^{1 ∕ 2} m^{- 2} K^{- 1})$	—	$(6.56 \pm 0.03) \times 10^{3}$	$(3.91 \pm 0.02) \times 10^{3}$	—

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Journal of the Optical Society of America B