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Photosynthesis Research

, Volume 136, Issue 3, pp 345–355 | Cite as

On the source of non-linear light absorbance in photosynthetic samples

  • Jan NaušEmail author
  • Dušan Lazár
  • Barbora Baránková
  • Barbora Arnoštová
Original Article
  • 360 Downloads

Abstract

This study presents a mathematical model, which expresses the absorbance of a photosynthetic sample as a non-linear polynomial of selected reference absorbance. The non-linearity is explained by inhomogeneities of a product of pigment concentration and light path length in the sample. The quadratic term of the polynomial reflects the extent of inhomogeneities, and the cubic term is related to deviation of the product distribution from a symmetric one. The model was tested by measurements of suspension of unstacked tobacco thylakoid membranes of different chlorophyll concentrations in cuvettes of different thicknesses. The absorbance was calculated from the diffuse transmittance and reflectance of sample, illuminated by perpendicular collimated light. The evaluated quantity was a sensitivity defined as the relative difference between the sample absorbance and the reference absorbance to the reference absorbance. The non-linearity of sample absorbance was demonstrated by a characteristic deviation of the sensitivity spectrum from a constant value. The absorbance non-linearity decreased on an increase of the product of pigment concentration and cuvette thickness. The model suggests that the sieve and detour effects influence the absorbance in a similar way. The model may be of interest in modeling of leaf or canopy optics including light absorption and scattering.

Keywords

Concentration Light path length Model Remote sensing Sieve and detour effects Spatial inhomogeneity Asymmetry of inhomogeneity distribution 

Notes

Acknowledgements

This work was supported by Grant No. LO1204 from the National Program of Sustainability I, Ministry of Education, Youth and Sports, Czech Republic, and by internal grants of Palacký University Olomouc no. IGA_PrF_2016_013 and IGA_PrF_2017_017.

Supplementary material

11120_2017_468_MOESM1_ESM.docx (1 mb)
Supplementary material 1 (DOCX 1060 KB)

References

  1. Agati G, Fusi F, Mazzinghi P (1993) A simple approach to the evaluation of the reabsorption of chlorophyll fluorescence spectra in intact leaves. J Photochem Photobiol B: Biol 17:163–171CrossRefGoogle Scholar
  2. Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19:716–723CrossRefGoogle Scholar
  3. Baránková B, Lazár D, Nauš J (2016) Analysis of the effect of chloroplast arrangement on optical properties of green tobacco leaves. Remote Sens Environ 174:181–196CrossRefGoogle Scholar
  4. Bolstad PV, Gower ST (1990) Estimation of leaf area index in fourteen southern Wisconsin forest stands using a portable radiometer. Tree Physiol 7:115–124CrossRefPubMedGoogle Scholar
  5. Bryant FD, Seiber BA, Latimer P (1969) Absolute optical cross sections of cells and chloroplasts. Arch Biochem Biophys 135:79–108Google Scholar
  6. Caffarri S, Kouřil R, Kereïche S, Boekema EJ, Croce R (2009) Functional architecture of higher plant photosystem II supercomplexes. EMBO J 28:3052–3063CrossRefPubMedPubMedCentralGoogle Scholar
  7. Cordón GB, Lagorio MG (2006) Re-absorption of chlorophyll fluorescence in leaves revisited. A comparison of correction models. Photochem Photobiol Sci 5:735–740CrossRefPubMedGoogle Scholar
  8. Das M, Rabinowitch E, Szalay L, Papageorgiou G (1967) The “sieve effect” in Chlorella suspensions. J Phys Chem 71:3543–3549CrossRefGoogle Scholar
  9. Davis PA, Caylor S, Whippo CW, Hangarter RP (2011) Changes in leaf optical properties associated with light-dependent chloroplast movements. Plant Cell Environ 34:2047–2059CrossRefPubMedGoogle Scholar
  10. Dennison WC, Orth RJ, Moore KA, Stevenson JC, Carter V, Kollar S, Bergstrom PW, Batiuk RA (1993) Assessing water quality with submersed aquatic vegetation. Bioscience 43:86–94CrossRefGoogle Scholar
  11. Duysens LNM (1956) The flattening of the absorption spectrum of suspensions as compared to that of solutions. Biochim Biophys Acta 19:1–12CrossRefPubMedGoogle Scholar
  12. Fukshansky L (1978) On the theory of light absorption in non-homogeneous objects. The sieve-effect in one-component suspensions. J Math Biol 6:177–196CrossRefGoogle Scholar
  13. Fukshansky L (1991) Photon transport in leaf tissue: application in plant physiology. In: Myneni RB, Ross J (eds) Photon-vegetation interactions, Springer, New York, pp 263–302Google Scholar
  14. Gitelson AA, Buschmann C, Lichtenthaler HK (1998) Leaf chlorophyll fluorescence corrected for re-absorption by means of absorption and reflectance measurements. J Plant Physiol 152:283–296CrossRefGoogle Scholar
  15. Higashide T (2009) Light interception by tomato plants (Solanum lycoparsicum) grown on a sloped field. Agricult Forest Meteorol 149:756–762CrossRefGoogle Scholar
  16. Hirota O (1987a) Photosynthesis-light response curve derived from light absorbed in a leaf I. Model of light absorption in each mesophyll layer of a leaf. Soybean corn plants J Fac Agricult Kyushu Univ 31:191–201Google Scholar
  17. Hirota O (1987b) Photosynthesis-light response curve derived from light absorbed in a leaf. II. Soybean and corn plants. J Fac Agricult Kyushu Univ 31:203–211Google Scholar
  18. Hlavinka J, Naus J, Spundova M (2013) Anthocyanin contribution to chlorophyll meter readings and its correction. Photosynth Res 118:277–295CrossRefPubMedGoogle Scholar
  19. Krekov GM, Krekova MM, Lisenko AA, Sukhanov Y (2009) Radiative characteristics of plant leaf. Atmosph Ocean Opt 22:241–259CrossRefGoogle Scholar
  20. Kubelka P, Munk F (1931) Ein Beitrag zur Optik der Farbanstriche. Z Tech Phys 12:593–601Google Scholar
  21. Larsen ML, Clark AS (2014) On the link between particle size and deviations from the Beer-Lambert-Bouguer law for direct transmission. J Quant Spectrosc Radiat Transfer 133:646–651CrossRefGoogle Scholar
  22. Latimer P (1983) The deconvolution of absorption spectra of green plant materials-improved corrections for sieve effect. Photochem Photobiol 38:731–734CrossRefGoogle Scholar
  23. Latimer P, Eubanks CAH (1962) Absorption spectrophotometry of turbid suspension: a method of correcting for large systematic distortions. Archs Biochem Biophys 98:274–285CrossRefGoogle Scholar
  24. Latimer P, Noh SJ (1987) Light propagation in moderate dense particle systems: a reexamination of the Kubelka-Munk theory. Appl Opt 26:514–523CrossRefPubMedGoogle Scholar
  25. Latimer P, Rabinowitch E (1959) Selective scattering of light by pigments in vivo. Archs Biochem Biophys 84:428–441CrossRefGoogle Scholar
  26. Lee DW, Bone RA, Tarsis SL, Storch D (1990) Correlates of leaf optical properties in tropical forest sun and extreme-shade plants. Amer J Bot 77:370–380CrossRefGoogle Scholar
  27. Lichtenthaler HK (1987) Chlorophylls and carotenoids: pigments of photosynthetic biomembranes. Meth Enzymol 148:350–382CrossRefGoogle Scholar
  28. Licker MD et al (2004) McGraw-Hill concise encyclopedia of physics, Fifth edition. McGraw-Hill Companies, New YorkGoogle Scholar
  29. Maikala RV (2010) Modified Beer’s law – historical perspectives and relevance in near-infrared monitoring of optical properties of human tissue. Int J Industr Ergonim 40:125–134CrossRefGoogle Scholar
  30. McClendon JH, Fukshansky L (1990a) On the interpretation of absorption spectra of leaves. – I. Introduction and the correction of leaf spectra for surface reflection. Photochem Photobiol 51:203–210CrossRefGoogle Scholar
  31. McClendon JH, Fukshansky L (1990b) On the interpretation of absorption spectra of leaves. – II. The non-absorbed ray of the sieve effect and the mean optical pathlength in the remainder of the leaf. Photochem Photobiol 51:211–216CrossRefGoogle Scholar
  32. Mellqvist J, Rosén A (1996a) DOAS for flue gas monitoring – I. temperature effects in the U.V./visible absorption spectra of NO, NO2, SO2 and NH3. Lambert law for the U.V./visible absorption spectra of NO, NO2, SO2 and NH3. J Quant Spectrosc Radiat Trans 56:187–208CrossRefGoogle Scholar
  33. Mellqvist J, Rosén A (1996b) DOAS for flue gas monitoring – II. Deviations from the Beer-Lambert law for the U.V./visible absorption spectra of NO, NO2, SO2 and NH3. J Quant Spectrosc Radiat Trans 56:209–224CrossRefGoogle Scholar
  34. Mellqvist J, Axelsson H, Rosén A (1996) DOAS for flue gas monitoring – III. In situ monitoring of sulfur dioxide, nitrogen monoxide and ammonia. J Quant Spectrosc Radiat Trans 56:225–240CrossRefGoogle Scholar
  35. Merzlyak MN, Naqvi KR (2000) On recording the true absorption spectrum and scattering spectrum of a turbid sample: application to cell suspensions of cyanobacterium Anabaena variabilis. J Photochem Photobiol 58:123–129CrossRefGoogle Scholar
  36. Naus J, Klinkovsky T, Ilik P, Cikanek D (1994) Model studies of chlorophyll fluorescence reabsorption at chloroplast level under different exciting conditions. Photosynth Res 40:67–74CrossRefPubMedGoogle Scholar
  37. Rabideau GS, French CS, Holt AS (1946) The absorption and reflection spectra of leaves, chloroplast suspensions and chloroplast fragments as measured in an Ulbricht sphere. Am J Bot 33:769–777CrossRefGoogle Scholar
  38. Richter T, Fukshansky L (1994) Authentic in-vivo absorption-spectra for chlorophyll in leaves derived from in-situ and in-vitro measurements. Photochem Photobiol 59:237–247CrossRefGoogle Scholar
  39. Shaw SL, Ehrhardt DW (2013) Smaller, faster, brighter: advances in optical imaging of living plant cells. Annu Rev Plant Biol 64:351–375CrossRefPubMedGoogle Scholar
  40. Shaw RA, Kostinski AB, Lanterman DD (2002) Super-exponential extinction of radiation in a negatively correlated random medium. J Quant Spectrosc Rad Transfer 75:13–20CrossRefGoogle Scholar
  41. Shibata K, Benson AA, Calvin M (1954) The absorption spectra of living micro-organisms. Biochim Biophys Acta 15:461–470CrossRefPubMedGoogle Scholar
  42. Spietz P, Martín JCG, Burrows JP (2006) Quantitative treatment of coarsely binned low-resolution recordings in molecular absorption spectroscopy. Spectrochim Acta A 64:722–735CrossRefGoogle Scholar
  43. Terashima I, Fujita T, Inoue T, Chow WS, Oguchi R (2009) Green light drives leaf photosynthesis more efficiently than red light in strong white light: revisiting the enigmatic question of why leaves are green. Plant Cell Physiol 50:684–697CrossRefPubMedGoogle Scholar

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Authors and Affiliations

  1. 1.Department of Biophysics, Faculty of Science, Centre of the Region Haná for Biotechnological and Agricultural ResearchPalacký UniversityOlomoucCzech Republic

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