Photoacoustic spectroscopy of thick powdered or porous samples at low frequency

This paper sets forth a self‐contained theoretical description of the photoacoustic effect in a thick powdered or porous sample at low modulation frequencies where the sample medium can be considered homogeneous from the point of view of heat diffusion. It is shown that the photoacoustic signal results from two contributions: the heat flux from the sample to the gas plus the expansion of the interstitial gas and that the pressure is essentially uniform throughout the sample. Scattering effects are introduced with a Kubelka–Munk modified model and an expression is first given for the conventional partially filled cell. We discuss of these results and their application to the explanation of several texture effects and to the analysis of experimental data. Using a sample composed of chrysotile asbestos powder, we present experimental data and perform an approximate analysis to retrieve the absorption spectrum. Several experimental results are also presented and thoroughly discussed for a cell completely fill...

[1]  Thermal contact probing by photoacoustic effect , 1981 .

[2]  D. W. Vidrine Photoacoustic Fourier Transform Infrared Spectroscopy of Solid Samples , 1980 .

[3]  M. Rockley Fourier-Transformed Infrared Photoacoustic Spectroscopy of Solids , 1980 .

[4]  M. Rockley,et al.  Photoacoustic Infrared Spectra (IR-PAS) of Aged and Fresh-Cleaved Coal Surfaces , 1980 .

[5]  F. A. McDonald Three‐dimensional heat flow in the photoacoustic effect‐II: Cell‐wall conduction , 1981 .

[6]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[7]  F. A. McDonald Three‐dimensional heat flow in the photoacoustic effect , 1980 .

[8]  H. Godbee,et al.  Thermal Conductivities of MgO, Al2O3, and ZrO2 Powders to 850°C. II. Theoretical , 1966 .

[9]  J. Reichman Determination of absorption and scattering coefficients for nonhomogeneous media. 1: theory. , 1973, Applied optics.

[10]  R. Tilgner,et al.  Photoacoustic spectroscopy with light scattering samples. , 1981, Applied optics.

[11]  G. Wetsel,et al.  Generalized theory of the photoacoustic effect , 1978 .

[12]  Patrick Poulet,et al.  Quantitative photoacoustic spectroscopy applied to thermally thick samples , 1980 .

[13]  F. A. McDonald Theory of photoacoustic signal generation for optimized photoacoustic cells , 1981 .

[14]  J. Butt Thermal conductivity of porous catalysts , 1965 .

[15]  M. J. Adams,et al.  Analytical optoacoustic spectrometry. Part I. Instrument assembly and performance characteristics , 1976 .

[16]  P. Griffiths,et al.  Photoacoustics and Photoacoustic Spectroscopy , 1981 .

[17]  J. C. Murphy,et al.  Photothermal measurements using a localized excitation source , 1981 .

[18]  C. H. Chan,et al.  Effective absorption for thermal blooming due to aerosols , 1975 .

[19]  Ingemar Lundström,et al.  Light scattering effects in photoacoustic spectroscopy , 1980 .

[20]  J. Badoz,et al.  Thermo‐optical spectroscopy: Detection by the ’’mirage effect’’ , 1980 .

[21]  R. W. Morse,et al.  Acoustic Propagation in Granular Media , 1952 .

[22]  W. McClenny,et al.  Photoacoustic detection of carbonaceous particles. , 1981, Applied optics.

[23]  H. Godbee,et al.  Thermal Conductivities of MgO, Al2O3, and ZrO2 Powders to 850°C. I. Experimental , 1966 .

[24]  R. Friedman,et al.  Photoacoustic spectroscopy of particulate solids , 1980 .

[25]  L. Burggraf,et al.  Quantitative photoacoustic spectroscopy of intensely light-scattering thermally thick samples , 1981 .

[26]  W. Nicholas Delgass,et al.  Spectroscopy in Heterogeneous Catalysis , 1979 .

[27]  William E. Keiser,et al.  IR—Theory and Practice of Infrared Spectroscopy , 1973 .

[28]  J. Murphy,et al.  Signal Enhancement in Photothermal Imaging Produced by Three Dimensional Heat Flow , 1981, Second International Meeting on Photoacoustic Spectroscopy.

[29]  J. Monchalin,et al.  Magnitude and phase photoacoustic spectra of chrysotile asbestos, a powdered sample. , 1982, Applied optics.

[30]  Allen Gersho,et al.  Theory of the photoacoustic effect with solids , 1975 .

[31]  A. W. Nolle,et al.  Quantitative study of a photoacoustic system for powdered samples , 1977 .

[32]  N. Amer,et al.  Photothermal spectroscopy of scattering media. , 1982, Applied optics.

[33]  C. Zwikker,et al.  Sound Absorbing Materials , 1949 .