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Lotus effect

The lotus effect refers to self-cleaning properties that are a result of ultrahydrophobicity as exhibited by the leaves of Nelumbo, the lotus flower.[1] Dirt particles are picked up by water droplets due to the micro- and nanoscopic architecture on the surface, which minimizes the droplet's adhesion to that surface. Ultrahydrophobicity and self-cleaning properties are also found in other plants, such as Tropaeolum (nasturtium), Opuntia (prickly pear), Alchemilla, cane, and also on the wings of certain insects.[2]

Water on the surface of a lotus leaf.
Water droplets on taro leaf with lotus effect (upper), and taro leaf surface magnified (0–1 is one millimetre span) showing a number of small protrusions (lower).
Computer graphic of a lotus leaf surface.
A water drop on a lotus surface showing contact angles of approximately 147°.

The phenomenon of ultrahydrophobicity was first studied by Dettre and Johnson in 1964[3] using rough hydrophobic surfaces. Their work developed a theoretical model based on experiments with glass beads coated with paraffin or PTFE telomer. The self-cleaning property of ultrahydrophobic micro-nanostructured surfaces was studied by Wilhelm Barthlott and Ehler in 1977,[4] who described such self-cleaning and ultrahydrophobic properties for the first time as the "lotus effect"; perfluoroalkyl and perfluoropolyether ultrahydrophobic materials were developed by Brown in 1986 for handling chemical and biological fluids.[5] Other biotechnical applications have emerged since the 1990s.[6][7][8][9][10][11]

Functional principle edit

The high surface tension of water causes droplets to assume a nearly spherical shape, since a sphere has minimal surface area, and this shape therefore minimizes the solid-liquid surface energy. On contact of liquid with a surface, adhesion forces result in wetting of the surface. Either complete or incomplete wetting may occur depending on the structure of the surface and the fluid tension of the droplet.[12] The cause of self-cleaning properties is the hydrophobic water-repellent double structure of the surface.[13] This enables the contact area and the adhesion force between surface and droplet to be significantly reduced, resulting in a self-cleaning process.[14][15][16] This hierarchical double structure is formed out of a characteristic epidermis (its outermost layer called the cuticle) and the covering waxes. The epidermis of the lotus plant possesses papillae 10 μm to 20 μm in height and 10 μm to 15 μm in width on which the so-called epicuticular waxes are imposed. These superimposed waxes are hydrophobic and form the second layer of the double structure. This system regenerates. This biochemical property is responsible for the functioning of the water repellency of the surface.

The hydrophobicity of a surface can be measured by its contact angle. The higher the contact angle the higher the hydrophobicity of a surface. Surfaces with a contact angle < 90° are referred to as hydrophilic and those with an angle >90° as hydrophobic. Some plants show contact angles up to 160° and are called ultrahydrophobic, meaning that only 2–3% of the surface of a droplet (of typical size) is in contact. Plants with a double structured surface like the lotus can reach a contact angle of 170°, whereby the droplet's contact area is only 0.6%. All this leads to a self-cleaning effect.

Dirt particles with an extremely reduced contact area are picked up by water droplets and are thus easily cleaned off the surface. If a water droplet rolls across such a contaminated surface the adhesion between the dirt particle, irrespective of its chemistry, and the droplet is higher than between the particle and the surface. This cleaning effect has been demonstrated on common materials such as stainless steel when a superhydrophobic surface is produced.[17] As this self-cleaning effect is based on the high surface tension of water it does not work with organic solvents. Therefore, the hydrophobicity of a surface is no protection against graffiti.

This effect is of a great importance for plants as a protection against pathogens like fungi or algae growth, and also for animals like butterflies, dragonflies and other insects not able to cleanse all their body parts. Another positive effect of self-cleaning is the prevention of contamination of the area of a plant surface exposed to light resulting in reduced photosynthesis.

Technical application edit

When it was discovered that the self-cleaning qualities of ultrahydrophobic surfaces come from physical-chemical properties at the microscopic to nanoscopic scale rather than from the specific chemical properties of the leaf surface,[18][19][20] the possibility arose of using this effect in manmade surfaces, by mimicking nature in a general way rather than a specific one.

Some nanotechnologists have developed treatments, coatings, paints, roof tiles, fabrics and other surfaces that can stay dry and clean themselves by replicating in a technical manner the self-cleaning properties of plants, such as the lotus plant. This can usually be achieved using special fluorochemical or silicone treatments on structured surfaces or with compositions containing micro-scale particulates.

In addition to chemical surface treatments, which can be removed over time, metals have been sculpted with femtosecond pulse lasers to produce the lotus effect.[21] The materials are uniformly black at any angle, which combined with the self-cleaning properties might produce very low maintenance solar thermal energy collectors, while the high durability of the metals could be used for self-cleaning latrines to reduce disease transmission.[22]

Further applications have been marketed, such as self-cleaning glasses installed in the sensors of traffic control units on German autobahns developed by a cooperation partner (Ferro GmbH).[citation needed] The Swiss companies HeiQ and Schoeller Textil have developed stain-resistant textiles under the brand names "" and "nanosphere" respectively. In October 2005, tests of the Hohenstein Research Institute showed that clothes treated with NanoSphere technology allowed tomato sauce, coffee and red wine to be easily washed away even after a few washes. Another possible application is thus with self-cleaning awnings, tarpaulins and sails, which otherwise quickly become dirty and difficult to clean.

Superhydrophobic coatings applied to microwave antennas can significantly reduce rain fade and the buildup of ice and snow. "Easy to clean" products in ads are often mistaken in the name of the self-cleaning properties of hydrophobic or ultrahydrophobic surfaces. Patterned ultrahydrophobic surfaces also show promise for "lab-on-a-chip" microfluidic devices and can greatly improve surface-based bioanalysis.[23]

Superhydrophobic or hydrophobic properties have been used in dew harvesting, or the funneling of water to a basin for use in irrigation. The Groasis Waterboxx has a lid with a microscopic pyramidal structure based on the ultrahydrophobic properties that funnel condensation and rainwater into a basin for release to a growing plant's roots.[24]

Research history edit

Although the self-cleaning phenomenon of the lotus was possibly known in Asia long before (reference to the lotus effect is found in the Bhagavad Gita[25]), its mechanism was explained only in the early 1970s after the introduction of the scanning electron microscope.[4][16] Studies were performed with leaves of Tropaeolum and lotus (Nelumbo).[6]. Similar to lotus effect, a recent study has revealed honeycomb-like micro-structures on the taro leaf, which makes the leaf superhydrophobic. The measured contact angle on this leaf in this study is around 148 degrees.[26]

See also edit

References edit

  1. ^ Lafuma, A.; Quere, D. (2003). "Superhydrophobic states". Nature Materials. 2 (7): 457–460. Bibcode:2003NatMa...2..457L. doi:10.1038/nmat924. PMID 12819775. S2CID 19652818.
  2. ^ Barthlott, W. (2023): “The Discovery of the Lotus Effect as a Key Innovation for Biomimetic Technologies” -  in: Handbook of Self-Cleaning Surfaces and Materials: From Fundamentals to Applications, Chapter 15, pp. 359-369 - Wiley-VCH, https://doi.org/10.1002/9783527690688.ch15
  3. ^ Rulon E. JohnsonJr.; Robert H. Dettre (1964). "Contact Angle Hysteresis. III. Study of an Idealized Heterogeneous Surface". J. Phys. Chem. 68 (7): 1744–1750. doi:10.1021/j100789a012.
  4. ^ a b Barthlott, Wilhelm; Ehler, N. (1977). "Raster-Elektronenmikroskopie der Epidermis-Oberflächen von Spermatophyten". Tropische und Subtropische Pflanzenwelt. 19: 110.
  5. ^ Brown Laboratory vessel having hydrophobic coating and process for manufacturing same U.S. patent 5,853,894, Issued December 29, 1998
  6. ^ a b Barthlott, Wilhelm; C. Neinhuis (1997). "The purity of sacred lotus or escape from contamination in biological surfaces". Planta. 202: 1–8. doi:10.1007/s004250050096. S2CID 37872229.
  7. ^ Barthlott, W., Mail, M., Bhushan, B., & K. Koch. (2017). Plant Surfaces: Structures and Functions for Biomimetic Innovations. Nano-Micro Letters, 9(23), doi:10.1007/s40820-016-0125-1.
  8. ^ Cheng, Y. T.; Rodak, D. E. (2005). "Is the lotus leaf superhydrophobic?". Appl. Phys. Lett. 86 (14): 144101. Bibcode:2005ApPhL..86n4101C. doi:10.1063/1.1895487.
  9. ^ Narhe, R. D.; Beysens, D. A. (2006). "Water condensation on a super-hydrophobic spike surface". Europhys. Lett. 75 (1): 98–104. Bibcode:2006EL.....75...98N. doi:10.1209/epl/i2006-10069-9.
  10. ^ Lai, S.C.S. (PDF). Archived from the original (PDF) on 2007-09-30.
  11. ^ Koch, K.; Bhushan, B.; Barthlott, W. (2008). "Diversity of structure, Morphology and Wetting of Plant Surfaces. Soft matter". Soft Matter. 4 (10): 1943. Bibcode:2008SMat....4.1943K. doi:10.1039/b804854a.
  12. ^ von Baeyer; H. C. (2000). "The Lotus Effect". The Sciences. 40: 12–15. doi:10.1002/j.2326-1951.2000.tb03461.x.
  13. ^ Neinhuis, C.; Barthlott, W. (1997). "Characterization and distribution of water-repellent, self-cleaning plant surfaces". Annals of Botany. 79 (6): 667–677. doi:10.1006/anbo.1997.0400.
  14. ^ Barthlott, Wilhelm; Neinhuis, C. (2001). "The lotus-effect: nature's model for self cleaning surfaces". International Textile Bulletin. 1: 8–12.
  15. ^ Forbes, P. (2005). The Gecko's Foot, Bio-inspiration – Engineering New Materials and devices from Nature. London: Fourth Estate. p. 272. ISBN 978-0-00-717990-9.
  16. ^ a b Forbes, P. (2008). "Self-Cleaning Materials". Scientific American. 299 (2): 67–75. Bibcode:2008SciAm.299b..88F. doi:10.1038/scientificamerican0808-88. PMID 18666684.
  17. ^ Serles, Peter; Nikumb, Suwas; Bordatchev, Evgueni (2018-06-15). "Superhydrophobic and superhydrophilic functionalized surfaces by picosecond laser texturing". Journal of Laser Applications. 30 (3): 032505. Bibcode:2018JLasA..30c2505S. doi:10.2351/1.5040641. ISSN 1042-346X.
  18. ^ Solga, A.; Cerman, Z.; Striffler, B. F.; Spaeth, M.; Barthlott, W. (2007). "The dream of staying clean: Lotus and biomimetic surfaces". Bioinspiration & Biomimetics. 2 (4): S126–S134. Bibcode:2007BiBi....2..126S. CiteSeerX 10.1.1.477.693. doi:10.1088/1748-3182/2/4/S02. PMID 18037722.
  19. ^ Mueller, T. (April 2008). "Biomimetics, Design by Nature". National Geographic Magazine: 68.
  20. ^ Guo, Z.; Zhou, F.; Hao, J.; Liu, W. (2005). "Stable Biomimetic Super-Hydrophobic Engineering Materials". J. Am. Chem. Soc. 127 (45): 15670–15671. doi:10.1021/ja0547836. PMID 16277486.
  21. ^ Vorobyev, A. Y.; Guo, Chunlei (2015). "Multifunctional surfaces produced by femtosecond laser pulses". Journal of Applied Physics. 117 (3): 033103. Bibcode:2015JAP...117c3103V. doi:10.1063/1.4905616.
  22. ^ Borghino, Dario (21 January 2015). "Lasers help create water-repelling, light-absorbing, self-cleaning metals". gizmag.com.
  23. ^ Ressine, A.; Marko-Varga, G.; Laurell, T. (2007). Porous silicon protein microarray technology and ultra-/superhydrophobic states for improved bioanalytical readout. Biotechnology Annual Review. Vol. 13. pp. 149–200. doi:10.1016/S1387-2656(07)13007-6. ISBN 978-0-444-53032-5. PMID 17875477.
  24. ^ "The different forms of condensation - Technology".
  25. ^ Bhagavad Gita 5.10 2012-09-10 at the Wayback Machine
  26. ^ Kumar, Manish; Bhardwaj (2020). "Wetting characteristics of Colocasia esculenta (Taro) leaf and a bioinspired surface thereof". Scientific Reports. 10 (1): 935. Bibcode:2020NatSR..10..935K. doi:10.1038/s41598-020-57410-2. PMC 6976613. PMID 31969578.

External links edit

  •   Media related to Animation of the lotus effect at Wikimedia Commons
  • Video showing comparison between plant leaves with and without lotus effect on YouTube
  • Project Group lotus effect - Nees Institut for biodiversity of plants Friedrich-Wilhelm University of Bonn
  • Scientific American article: "Self-Cleaning Materials: Lotus Leaf-Inspired Nanotechnology"

lotus, effect, lotus, effect, refers, self, cleaning, properties, that, result, ultrahydrophobicity, exhibited, leaves, nelumbo, lotus, flower, dirt, particles, picked, water, droplets, micro, nanoscopic, architecture, surface, which, minimizes, droplet, adhes. The lotus effect refers to self cleaning properties that are a result of ultrahydrophobicity as exhibited by the leaves of Nelumbo the lotus flower 1 Dirt particles are picked up by water droplets due to the micro and nanoscopic architecture on the surface which minimizes the droplet s adhesion to that surface Ultrahydrophobicity and self cleaning properties are also found in other plants such as Tropaeolum nasturtium Opuntia prickly pear Alchemilla cane and also on the wings of certain insects 2 Water on the surface of a lotus leaf Water droplets on taro leaf with lotus effect upper and taro leaf surface magnified 0 1 is one millimetre span showing a number of small protrusions lower Computer graphic of a lotus leaf surface A water drop on a lotus surface showing contact angles of approximately 147 The phenomenon of ultrahydrophobicity was first studied by Dettre and Johnson in 1964 3 using rough hydrophobic surfaces Their work developed a theoretical model based on experiments with glass beads coated with paraffin or PTFE telomer The self cleaning property of ultrahydrophobic micro nanostructured surfaces was studied by Wilhelm Barthlott and Ehler in 1977 4 who described such self cleaning and ultrahydrophobic properties for the first time as the lotus effect perfluoroalkyl and perfluoropolyether ultrahydrophobic materials were developed by Brown in 1986 for handling chemical and biological fluids 5 Other biotechnical applications have emerged since the 1990s 6 7 8 9 10 11 Contents 1 Functional principle 2 Technical application 3 Research history 4 See also 5 References 6 External linksFunctional principle editThe high surface tension of water causes droplets to assume a nearly spherical shape since a sphere has minimal surface area and this shape therefore minimizes the solid liquid surface energy On contact of liquid with a surface adhesion forces result in wetting of the surface Either complete or incomplete wetting may occur depending on the structure of the surface and the fluid tension of the droplet 12 The cause of self cleaning properties is the hydrophobic water repellent double structure of the surface 13 This enables the contact area and the adhesion force between surface and droplet to be significantly reduced resulting in a self cleaning process 14 15 16 This hierarchical double structure is formed out of a characteristic epidermis its outermost layer called the cuticle and the covering waxes The epidermis of the lotus plant possesses papillae 10 mm to 20 mm in height and 10 mm to 15 mm in width on which the so called epicuticular waxes are imposed These superimposed waxes are hydrophobic and form the second layer of the double structure This system regenerates This biochemical property is responsible for the functioning of the water repellency of the surface The hydrophobicity of a surface can be measured by its contact angle The higher the contact angle the higher the hydrophobicity of a surface Surfaces with a contact angle lt 90 are referred to as hydrophilic and those with an angle gt 90 as hydrophobic Some plants show contact angles up to 160 and are called ultrahydrophobic meaning that only 2 3 of the surface of a droplet of typical size is in contact Plants with a double structured surface like the lotus can reach a contact angle of 170 whereby the droplet s contact area is only 0 6 All this leads to a self cleaning effect Dirt particles with an extremely reduced contact area are picked up by water droplets and are thus easily cleaned off the surface If a water droplet rolls across such a contaminated surface the adhesion between the dirt particle irrespective of its chemistry and the droplet is higher than between the particle and the surface This cleaning effect has been demonstrated on common materials such as stainless steel when a superhydrophobic surface is produced 17 As this self cleaning effect is based on the high surface tension of water it does not work with organic solvents Therefore the hydrophobicity of a surface is no protection against graffiti This effect is of a great importance for plants as a protection against pathogens like fungi or algae growth and also for animals like butterflies dragonflies and other insects not able to cleanse all their body parts Another positive effect of self cleaning is the prevention of contamination of the area of a plant surface exposed to light resulting in reduced photosynthesis Technical application editWhen it was discovered that the self cleaning qualities of ultrahydrophobic surfaces come from physical chemical properties at the microscopic to nanoscopic scale rather than from the specific chemical properties of the leaf surface 18 19 20 the possibility arose of using this effect in manmade surfaces by mimicking nature in a general way rather than a specific one Some nanotechnologists have developed treatments coatings paints roof tiles fabrics and other surfaces that can stay dry and clean themselves by replicating in a technical manner the self cleaning properties of plants such as the lotus plant This can usually be achieved using special fluorochemical or silicone treatments on structured surfaces or with compositions containing micro scale particulates In addition to chemical surface treatments which can be removed over time metals have been sculpted with femtosecond pulse lasers to produce the lotus effect 21 The materials are uniformly black at any angle which combined with the self cleaning properties might produce very low maintenance solar thermal energy collectors while the high durability of the metals could be used for self cleaning latrines to reduce disease transmission 22 Further applications have been marketed such as self cleaning glasses installed in the sensors of traffic control units on German autobahns developed by a cooperation partner Ferro GmbH citation needed The Swiss companies HeiQ and Schoeller Textil have developed stain resistant textiles under the brand names HeiQ Eco Dry and nanosphere respectively In October 2005 tests of the Hohenstein Research Institute showed that clothes treated with NanoSphere technology allowed tomato sauce coffee and red wine to be easily washed away even after a few washes Another possible application is thus with self cleaning awnings tarpaulins and sails which otherwise quickly become dirty and difficult to clean Superhydrophobic coatings applied to microwave antennas can significantly reduce rain fade and the buildup of ice and snow Easy to clean products in ads are often mistaken in the name of the self cleaning properties of hydrophobic or ultrahydrophobic surfaces Patterned ultrahydrophobic surfaces also show promise for lab on a chip microfluidic devices and can greatly improve surface based bioanalysis 23 Superhydrophobic or hydrophobic properties have been used in dew harvesting or the funneling of water to a basin for use in irrigation The Groasis Waterboxx has a lid with a microscopic pyramidal structure based on the ultrahydrophobic properties that funnel condensation and rainwater into a basin for release to a growing plant s roots 24 Research history editAlthough the self cleaning phenomenon of the lotus was possibly known in Asia long before reference to the lotus effect is found in the Bhagavad Gita 25 its mechanism was explained only in the early 1970s after the introduction of the scanning electron microscope 4 16 Studies were performed with leaves of Tropaeolum and lotus Nelumbo 6 Similar to lotus effect a recent study has revealed honeycomb like micro structures on the taro leaf which makes the leaf superhydrophobic The measured contact angle on this leaf in this study is around 148 degrees 26 See also editBiomimetics Petal effect Salvinia effectReferences edit Lafuma A Quere D 2003 Superhydrophobic states Nature Materials 2 7 457 460 Bibcode 2003NatMa 2 457L doi 10 1038 nmat924 PMID 12819775 S2CID 19652818 Barthlott W 2023 The Discovery of the Lotus Effect as a Key Innovation for Biomimetic Technologies in Handbook of Self Cleaning Surfaces and Materials From Fundamentals to Applications Chapter 15 pp 359 369 Wiley VCH https doi org 10 1002 9783527690688 ch15 Rulon E JohnsonJr Robert H Dettre 1964 Contact Angle Hysteresis III Study of an Idealized Heterogeneous Surface J Phys Chem 68 7 1744 1750 doi 10 1021 j100789a012 a b Barthlott Wilhelm Ehler N 1977 Raster Elektronenmikroskopie der Epidermis Oberflachen von Spermatophyten Tropische und Subtropische Pflanzenwelt 19 110 Brown Laboratory vessel having hydrophobic coating and process for manufacturing same U S patent 5 853 894 Issued December 29 1998 a b Barthlott Wilhelm C Neinhuis 1997 The purity of sacred lotus or escape from contamination in biological surfaces Planta 202 1 8 doi 10 1007 s004250050096 S2CID 37872229 Barthlott W Mail M Bhushan B amp K Koch 2017 Plant Surfaces Structures and Functions for Biomimetic Innovations Nano Micro Letters 9 23 doi 10 1007 s40820 016 0125 1 Cheng Y T Rodak D E 2005 Is the lotus leaf superhydrophobic Appl Phys Lett 86 14 144101 Bibcode 2005ApPhL 86n4101C doi 10 1063 1 1895487 Narhe R D Beysens D A 2006 Water condensation on a super hydrophobic spike surface Europhys Lett 75 1 98 104 Bibcode 2006EL 75 98N doi 10 1209 epl i2006 10069 9 Lai S C S Mimicking nature Physical basis and artificial synthesis of the Lotus effect PDF Archived from the original PDF on 2007 09 30 Koch K Bhushan B Barthlott W 2008 Diversity of structure Morphology and Wetting of Plant Surfaces Soft matter Soft Matter 4 10 1943 Bibcode 2008SMat 4 1943K doi 10 1039 b804854a von Baeyer H C 2000 The Lotus Effect The Sciences 40 12 15 doi 10 1002 j 2326 1951 2000 tb03461 x Neinhuis C Barthlott W 1997 Characterization and distribution of water repellent self cleaning plant surfaces Annals of Botany 79 6 667 677 doi 10 1006 anbo 1997 0400 Barthlott Wilhelm Neinhuis C 2001 The lotus effect nature s model for self cleaning surfaces International Textile Bulletin 1 8 12 Forbes P 2005 The Gecko s Foot Bio inspiration Engineering New Materials and devices from Nature London Fourth Estate p 272 ISBN 978 0 00 717990 9 a b Forbes P 2008 Self Cleaning Materials Scientific American 299 2 67 75 Bibcode 2008SciAm 299b 88F doi 10 1038 scientificamerican0808 88 PMID 18666684 Serles Peter Nikumb Suwas Bordatchev Evgueni 2018 06 15 Superhydrophobic and superhydrophilic functionalized surfaces by picosecond laser texturing Journal of Laser Applications 30 3 032505 Bibcode 2018JLasA 30c2505S doi 10 2351 1 5040641 ISSN 1042 346X Solga A Cerman Z Striffler B F Spaeth M Barthlott W 2007 The dream of staying clean Lotus and biomimetic surfaces Bioinspiration amp Biomimetics 2 4 S126 S134 Bibcode 2007BiBi 2 126S CiteSeerX 10 1 1 477 693 doi 10 1088 1748 3182 2 4 S02 PMID 18037722 Mueller T April 2008 Biomimetics Design by Nature National Geographic Magazine 68 Guo Z Zhou F Hao J Liu W 2005 Stable Biomimetic Super Hydrophobic Engineering Materials J Am Chem Soc 127 45 15670 15671 doi 10 1021 ja0547836 PMID 16277486 Vorobyev A Y Guo Chunlei 2015 Multifunctional surfaces produced by femtosecond laser pulses Journal of Applied Physics 117 3 033103 Bibcode 2015JAP 117c3103V doi 10 1063 1 4905616 Borghino Dario 21 January 2015 Lasers help create water repelling light absorbing self cleaning metals gizmag com Ressine A Marko Varga G Laurell T 2007 Porous silicon protein microarray technology and ultra superhydrophobic states for improved bioanalytical readout Biotechnology Annual Review Vol 13 pp 149 200 doi 10 1016 S1387 2656 07 13007 6 ISBN 978 0 444 53032 5 PMID 17875477 The different forms of condensation Technology Bhagavad Gita 5 10 Archived 2012 09 10 at the Wayback Machine Kumar Manish Bhardwaj 2020 Wetting characteristics of Colocasia esculenta Taro leaf and a bioinspired surface thereof Scientific Reports 10 1 935 Bibcode 2020NatSR 10 935K doi 10 1038 s41598 020 57410 2 PMC 6976613 PMID 31969578 External links edit nbsp Wikimedia Commons has media related to Lotus effect nbsp Media related to Animation of the lotus effect at Wikimedia Commons Video showing comparison between plant leaves with and without lotus effect on YouTube Project Group lotus effect Nees Institut for biodiversity of plants Friedrich Wilhelm University of Bonn Scientific American article Self Cleaning Materials Lotus Leaf Inspired Nanotechnology Retrieved from https en wikipedia org w index php title Lotus effect amp oldid 1190518037, wikipedia, wiki, book, books, library,

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