Fat Crystal Networks
Alejandro G. Marangoni
University of Guelph, Guelph, Ontario, Canada
Search for more papers by this authorAlejandro G. Marangoni
University of Guelph, Guelph, Ontario, Canada
Search for more papers by this authorAbstract
This article examines the conceptual framework of the crystal network of fat materials in the context of its many hierarchical levels, from the molecular/nanostructural (10−9 m) level all the way to the submillimeter (10−6 m) length scale. Included in this article is a discussion on thermal properties of triacylglycerols, phase behavior, crystallization thermodynamics, crystallization into single crystals (crystalline nanoplatelets), aggregation of single crystals, rheology, and derivations of material properties based on the microstructure. Introductory concepts are provided, and for more detailed scholarship, readers are referred to an ample list of specialist texts and papers on the subject.
References
- 1Omonov, T.S., Bouzidi, L., and Narine, S.S. (2010). Chem. Phys. Lipids 163: 728–740. doi: 10.1016/j.chemphyslip.2010.07.003.
- 2Marangoni, A.G. and Wesdorp, L.H. (2012). Structure and Properties of Fat Crystal Networks. Boca Raton, FL: CRC Press.
10.1201/b12883 Google Scholar
- 3Marangoni, A.G. (2004). Fat Crystal Networks. Boca Raton, FL: CRC Press.
10.1201/9781420030549 Google Scholar
- 4Widlak, N., Hartel, R., and Narine, S.S. (2001). Crystallization and Solidification Properties of Lipids. Urbana-Champaign: AOCS Press.
- 5Widlak, N. (2000). Physical Properties of Fats, Oils and Emulsifiers. Urbana-Champaign: AOCS Press.
- 6Marangoni, A.G., Acevedo, N., Maleky, F. et al. (2012). Soft Matter 8: 1275–1300. doi: 10.1039/c1sm06234d.
- 7Smith, K.W., Bhaggan, K., Talbot, G., and van Malssen, K.F. (2011). J. Am. Oil Chem. Soc. 88: 1085–1101. doi: 10.1007/s11746-011-1819-7.
- 8Gunstone, F.D. (2004). The Chemistry of Oils and Fats: Sources, Composition, Properties, and Uses. Oxford: Blackwell Publishing.
- 9O'Brien, R.D. (2008). Fats and Oils: Formulating and Processing for Applications, 3e. Boca Raton, FL: CRC Press.
10.1201/9781420061673 Google Scholar
- 10Craven, R.J. and Lencki, R.W. (2013). Chem. Rev. 113: 7402–7420. doi: 10.1021/cr400212r.
- 11Deman, J.M., Deman, L., and Blackman, B. (1983). J. Am. Oil Chem. Soc. 60: 91–94. doi: 10.1007/bf02540900.
- 12Doeden, W.G. (1975). J. Am. Oil Chem. Soc. 52: 124–127. doi: 10.1007/BF02545090.
- 13Gribnau, M.C.M. (1992). Trends Food Sci. Technol. 3: 186–190. doi: 10.1016/0924-2244(92)90187-2.
- 14van Putte, K. and van den Enden, J. (1974). J. Am. Oil Chem. Soc. 51: 316–320. doi: 10.1007/bf02633005.
- 15van Putte, K., Vermaas, L., van den Enden, J., and den Hollander, C. (1975). J. Am. Oil Chem. Soc. 52: 179–181. doi: 10.1007/bf02672165.
- 16Fulton, N.D., Lutton, E.S., and Wille, R.L. (1954). J. Am. Oil Chem. Soc. 31: 98–103. doi: 10.1007/bf02612492.
- 17Pohle, W.D., Taylor, J.R., and Gregory, R.L. (1965). J. Am. Oil Chem. Soc. 42: 1075–1078. doi: 10.1007/bf02636912.
- 18Bailey, A.E. (1950). Melting and Solidification of Fats. New York: Interscience.
- 19Munro, D.S., Cant, P.A.E., MacGibbon, A.K.H. et al. (1998). In: Technology of Dairy Products, 2e (ed. R. Early), 198–227. London: Blackie Academic & Professional.
- 20Stewart, I.M. and Timms, R.E. (2002). In: Fats in Food Technology (ed. K.K. Rajak), 164–191. Boca Raton, FL: CRC Press.
- 21Smith, K.W. (2001). In: Structured and Modified Lipids (ed. F.D. Gunstone), 401–422. New York: Marcel Dekker.
- 22Smith, K.W. (2015). In: Specialty Oils and Fats in Food and Nutrition: Properties, Processing and Applications (ed. G. Talbot), 271–284. Cambridge: Woodhead Publishing.
10.1016/B978-1-78242-376-8.00011-9 Google Scholar
- 23Flöter, E. and Bot, A. (2006). In: Improving the Fat Content of Foods (ed. C. Williams and J. Buttriss), 411–427. Cambridge: Woodhead Publishing.
10.1533/9781845691073.3.411 Google Scholar
- 24Chaiseri, S. and Dimick, P.S. (1989). J. Am. Oil Chem. Soc. 66: 1771–1776. doi: 10.1007/bf02660745.
- 25Foubert, I., Vanrolleghem, P.A., Thas, O., and Dewettinck, K. (2004). J. Food Sci. 69: 0–0. doi: 10.1111/j.1365-2621.2004.tb09933.x.
- 26Koyano, T., Kato, Y., Hachiya, I. et al. (1993). J. Jpn. Oil Chem. Soc. 42: 453–457. doi: 10.5650/jos1956.42.453.
- 27Going, L.H. (1967). J. Am. Oil Chem. Soc. 44: A414–A456. doi: 10.1007/bf02679255.
- 28 E. Chiavaro (ed.) (2014). Differential Scanning Calorimetry: Applications in Fat and Oil Technology. Boca Raton, FL: CRC Press.
10.1201/b17739 Google Scholar
- 29Höhne, G.W.H., Hemminger, W.F., and Flammersheim, H.J. (2003). Differential Scanning Calorimetry. Heidelberg: Springer.
10.1007/978-3-662-06710-9 Google Scholar
- 30Biliaderis, C.G. (1983). Food Chem. 10: 239–265. doi: 10.1016/0308-8146(83)90081-x.
- 31Timms, R.E. (1984). Prog. Lipid Res. 23: 1–38. doi: 10.1016/0163-7827(84)90004-3.
- 32Rossell, J.B. (1967). In: Advances in Lipid Research, vol. 5 (ed. R. Paoletti and D. Kritchevsky), 353–408. New York: Academic Press.
10.1016/B978-1-4831-9941-2.50016-9 Google Scholar
- 33Porter, D.A. and Easterling, K.E. (1992). Phase Transformations in Metals and Alloys, 2e. London: Chapman & Hall.
10.1007/978-1-4899-3051-4 Google Scholar
- 34Timms, R.E. (2012). Confectionery Fats Handbook, Oily Press Lipid Library, vol. 14. Cambridge: Woodhead Publishing Limited.
- 35Engström, L. (1992). Eur. J. Lipid Sci. Technol. 94: 173–181. doi: 10.1002/lipi.19920940503.
- 36Rousset, P., Rappaz, M., and Minner, E. (1998). J. Am. Oil Chem. Soc. 75: 857–864. doi: 10.1007/s11746-998-0237-y.
- 37Maximo, G.J., Costa, M.C., Coutinho, J.A.P., and Meirelles, A.J.A. (2014). RSC Adv. 4: 31840–31850. doi: 10.1039/c4ra02715a.
- 38Knoester, M., de Bruijne, P., and van den Tempel, M. (1972). Chem. Phys. Lipids 9: 309–319. doi: 10.1016/0009-3084(72)90017-5.
- 39Wilson, J.M., Newcombe, R.J., Denaro, A.R., and Rickett, R.M.W. (1968). Experiments in Physical Chemistry, 2e, Revised and Enlarged Edition. London: Pergamon Press.
- 40Lutton, E.S. (1955). J. Am. Oil Chem. Soc. 32: 49–53. doi: 10.1007/BF02636501.
- 41Kerridge, R. (1952). J. Chem. Soc., 4577–4579. doi: 10.1039/JR9520004577.
- 42Gibon, V., Durant, F., and Deroanne, C. J. Am. Oil Chem. Soc. 63: 1047–1055. doi: 10.1007/BF02673796.
- 43Minato, A., Ueno, S., Yano, J. et al. (1996). J. Am. Oil Chem. Soc. 73: 1567–1572. doi: 10.1007/BF02523526.
- 44Carter, G.F. and Paul, D.E. (1991). Materials Science & Engineering. Materials Park: ASM International.
- 45Hartel, R.W. (1996). J. Am. Oil Chem. Soc. 73: 945–953. doi: 10.1007/BF02523401.
- 46MacNaughtan, W., Farhat, I.A., Himawan, C. et al. (2006). J. Am. Oil Chem. Soc. 83: 1–9. doi: 10.1007/s11746-006-1167-1.
- 47Costa, M., Boros, L., Souza, J.A. et al. (2011). J. Chem. Eng. Data 56: 3277–3284. doi: 10.1021/je200033b.
- 48Smith, K.W., Bhaggan, K., and Talbot, G. (2013). Eur. J. Lipid Sci. Technol. 115: 838–846. doi: 10.1002/ejlt.201300035.
- 49Sasaki, M., Ueno, S., and Sato, K. (2012). In: Cocoa Butter and Related Compounds (ed. N. Garti and N.R. Widlak), 151–172. Champaign, IL: AOCS Press.
10.1016/B978-0-9830791-2-5.50009-8 Google Scholar
- 50Nyvlt, J. (1968). Chemicky Prumysl 18: 260–261.
- 51Perron, R. (1986). Revue Francaise des Corps Gras 33: 195–205.
- 52Wesdorp, L.H. (1990). Liquid-multiple solid phase equilibria in fats – theory and experiments. PhD thesis. Technical University of Delft, Delft, The Netherlands.
- 53Hartel, R.W. (2001). In: Crystallization in Foods (ed. R.W. Hartel), 145–188. Frederick, MD: Aspen Publishers Inc.
- 54van den Tempel, M. (1968). Surface-Active Lipids in Foods (SCI Monograph # 32), 22–36. London: Society of Chemical Industry.
- 55Boistelle, R. (1988). In: Crystallization and Polymorphism of Fats and Fatty Acids (ed. N. Garti and K. Sato), 189–226. Boca Raton, FL: CRC Press.
- 56Garside, J. (1987). In: Food Structure and Behaviour (ed. J.M.V. Blanshard and P. Lillford), 35–49. London: Academic Press.
- 57Walstra, P. (1987). In: Food Structure and Behaviour (ed. J.M.V. Blanshard and P. Lillford), 67–85. London: Academic Press.
- 58Blaurock, A. (1999). In: Physical Properties of Fats, Oils and Emulsifiers (ed. N. Widlak), 1–32. Champaign, IL: AOCS Press.
- 59Timms, R.E. (1994). In: Fats in Food Products (ed. D.P.J. Moran and K.K. Rajah), 1–28. London: Chapman & Hall.
10.1007/978-1-4615-2121-1_1 Google Scholar
- 60Vehkamäki, H. (2006). Classical Nucleation Theory in Multicomponent Systems. Heidelberg: Springer.
- 61Kloek, W. and thesis, P.D. (1990). Wageningen Agricultural University. The Netherlands: Wageningen.
- 62Walstra, P. (1998). In: Progress in Colloid & Polymer Science 108 – The Colloid Science of Lipids: New Paradigms for Self-Assembly in Science and Technology (ed. K. Larsson), 4–8. Darmstadt: Springer.
- 63Turnbull, D. and Fisher, C.J. (1949). J. Chem. Phys. 17: 71–73. doi: 10.1063/1.1747055.
- 64Phipps, L.W. (1964). Trans. Faraday Soc. 60: 1873–1883.
- 65Ramel, P.R., Co, E.D., Acevedo, N.C., and Marangoni, A.G. (2016). Prog. Lipid Res. 64: 231–242. doi: 10.1016/j.plipres.2016.09.004.
- 66Hachiya, I., Koyano, T., and Sato, K. (1989). Agric. Biol. Chem. 53: 327–332. doi: 10.1080/00021369.1989.10869318.
- 67Hachiya, I., Koyano, T., and Sato, K. (1989). J. Am. Oil Chem. Soc. 66: 1757–1762. doi: 10.1007/BF02660743.
- 68Hachiya, I., Koyano, T., and Sato, K. (1989). J. Am. Oil Chem. Soc. 66: 1763–1770. doi: 10.1007/BF02660744.
- 69Marangoni, A.G., Aurand, T.C., Martini, S., and Ollivon, M. (2006). Cryst. Growth Des. 6: 1199–1205. doi: 10.1021/cg050630i.
- 70Avrami, M. (1939). J. Chem. Phys. 7: 1103–1112. doi: 10.1063/1.1750380.
- 71Avrami, M. (1940). J. Chem. Phys. 8: 212–224. doi: 10.1063/1.1750631.
- 72Avrami, M. (1941). J. Chem. Phys. 9: 177–184. doi: 10.1063/1.1750872.
- 73Campos, R. (2013). In: Structure and Properties of Fat Crystal Networks, 2e (ed. A.G. Marangoni and L.H. Wesdorp), 419–489. Boca Raton, FL: CRC Press.
- 74Glazer, A.M. (2016). Crystallography: A Very Short Introduction. Oxford: Oxford University Press.
10.1093/actrade/9780198717591.001.0001 Google Scholar
- 75Sands, D.E. (1993). Introduction to Crystallography. New York: Dover Publications.
- 76van Langevelde, A., Peschar, R., and Schenk, H. (2001). Acta Crystallogr. B57: 372–377. doi: 10.1107/S0108768100019121.
10.1107/S0108768100019121 Google Scholar
- 77Small, D.M. (1986). The Physical Chemistry of Lipids: From Alkanes to Phospholipids. New York: Plenum Press.
10.1007/978-1-4899-5333-9 Google Scholar
- 78Duffy, P. (1853). Q. J. Chem. Soc. Lond. 5: 197–210. doi: 10.1039/QJ8530500197.
10.1039/QJ8530500197 Google Scholar
- 79Lutton, E.S. (1950). J. Am. Oil Chem. Soc. 27: 276–281. doi: 10.1007/bf02634906.
- 80Chapman, D. (1962). Chem. Rev. 62: 433–456. doi: 10.1021/cr60219a003.
- 81Sato, K. (1996). In: Advances in Applied Lipid Research, vol. 2 (ed. F.B. Padley), 213–268. London: JAI Press Inc.
- 82Garti, N. and Sato, K. (1988). Crystallization and Polymorphism of Fats and Fatty Acids. Boca Raton, FL: CRC Press.
- 83Clarkson, C.E. and Malkin, T. (1934). J. Chem. Soc. 666–671. doi: 10.1039/JR9340000666.
10.1039/JR9340000666 Google Scholar
- 84Malkin, T. and El Shurbagy, M. (1936). J. Chem. Soc. 1628–1634. doi: 10.1039/jr9360001628.
10.1039/jr9360001628 Google Scholar
- 85Malkin, T., El Shurbagy, M., and Meara, M.L. (1937). J. Chem. Soc. 1409–1413. doi: 10.1039/jr9370001409.
10.1039/jr9370001409 Google Scholar
- 86Carter, M.G.R. and Malkin, T. (1939). J. Chem. Soc. 1518–1521. doi: 10.1039/JR9390001518.
10.1039/JR9390001518 Google Scholar
- 87Malkin, T. and Meara, M.L. (1939). J. Chem. Soc. 103–108.
10.1039/JR9390000103 Google Scholar
- 88Malkin, T. and Wilson, B.R. (1949). J. Chem. Soc. 369–372.
- 89Carter, M.G.R. and Malkin, T. (1947). J. Chem. Soc. 554–558. doi: 10.1039/jr9470000554.
- 90Lutton, E.S. (1945). J. Am. Chem. Soc. 67: 524–527. doi: 10.1021/ja01220a008.
- 91Aquilano, D. and Sgualdino, G. (2001). In: Crystallization Processes in Fats and Lipid Systems (ed. N. Garti and K. Sato), 1–52. New York: Marcel Dekker.
- 92Larsson, K. (1966). Acta Chem. Scand. 20: 2255–2260. doi: 10.3891/acta.chem.scand.20-2255.
- 93Riiner, U. (1970). Lebensm. Wiss. Technol. 3: 101–106.
- 94Yano, J., Sato, K., Kaneko, F. et al. (1999). J. Lipid Res. 40: 140–151.
- 95Sato, K., Arishima, T., Wang, Z.H. et al. (1989). J. Am. Oil Chem. Soc. 66: 664–674. doi: 10.1007/BF02669949.
- 96Yano, J., Ueno, S., Sato, K. et al. (1993). J. Phys. Chem. 97: 12967–12973. doi: 10.1021/j100151a053.
- 97Ueno, S., Miyazaki, A., Yano, J. et al. (2000). Chem. Phys. Lipids 107: 169–178. doi: 10.1016/S0009-3084(00)00169-9.
- 98van Putte, K.P.A.M. and Bakker, B.H. (1987). J. Am. Oil Chem. Soc. 64: 1138–1143. doi: 10.1007/BF02612990.
- 99Groetenhuis, E., van Aken, G.A., van Malssen, K.F., and Schenk, H. (1999). J. Am. Oil Chem. Soc. 76: 1031–1039. doi: 10.1007/s11746-999-0201-5.
10.1007/s11746‐999‐0201‐5 Google Scholar
- 100Abrahamsson, S., Dahlen, B., Löfgren, H., and Pascher, I. (1978). Prog. Chem. Fats Other Lipids 16: 125–143. doi: 10.1016/0079-6832(78)90039-3.
- 101Breitschuh, B. and Windhab, E.J. (1998). J. Am. Oil Chem. Soc. 75: 897–904. doi: 10.1007/s11746-998-0264-8.
- 102Vand, V. and Bell, I.P. (1951). Acta Crystallogr. 4: 465–469. doi: 10.1107/S0365110X5100146X.
- 103Larsson, K. (1964). Arkiv for Kemi 23: 1–15.
- 104Jensen, L.H. and Mabis, A.J. (1963). Nature 197: 681–682. doi: 10.1038/197681d0.
- 105Jensen, L.H. and Mabis, A.J. (1966). Acta Crystallogr. 21: 770–781. doi: 10.1107/s0365110x66003839.
- 106Goto, M., Kodali, D.R., Small, D.M. et al. (1992). Proc. Natl. Acad. Sci. 89: 8083–8086. doi: 10.2307/2361299.
- 107van Langevelde, A., van Malssen, K., Driessen, R. et al. (2000). Acta Crystallogr. B 56: 1103–1111. doi: 10.1107/S0108768100009927.
- 108Sato, K., Goto, M., Yano, J. et al. (2001). J. Lipid Res. 42: 338–345.
- 109Acevedo, N.C. and Marangoni, A.G. (2015). Annu. Rev. Food Sci. Technol. 6: 71–96. doi: 10.1146/annurev-food-030713-092400.
- 110Acevedo, N.C., Peyronel, F., and Marangoni, A.G. (2011). Curr. Opin. Colloid Interface Sci. 16: 374–383. doi: 10.1016/j.cocis.2011.05.004.
- 111Heertje, I., van der Vlist, P., Blonk, J.C.G. et al. (1987). Food Microstruct. 6: 115–120.
- 112Acevedo, N.C. and Marangoni, A.G. (2010). Cryst. Growth Des. 10: 3327–3333. doi: 10.1021/cg100468e.
- 113Acevedo, N.C. and Marangoni, A.G. (2010). Cryst. Growth Des. 10: 3334–3339. doi: 10.1021/cg100469x.
- 114Acevedo, N.C., Block, J.M., and Marangoni, A.G. (2012). Faraday Discuss. 158: 171–194. doi: 10.1039/c2fd20008b.
- 115Acevedo, N.C. and Marangoni, A.G. (2014). Food Biophys. 9: 368–379. doi: 10.1007/s11483-014-9340-9.
- 116Acevedo, N.C., Block, J.M., and Marangoni, A.G. (2012). Langmuir 28: 16207–16217. doi: 10.1021/la303365d.
- 117Peyronel, F., Ilavsky, J., Pink, D.A., and Marangoni, A.G. (2014). Lipid Technol. 26: 223–226. doi: 10.1002/lite.201400051.
- 118Pink, D.A., Quinn, B., Peyronel, F., and Marangoni, A.G. (2013). J. Appl. Phys. 114: 234901. doi: 10.1063/1.4847996.
- 119Quinn, B., Gordon, T., Marangoni, A.G. et al. (2014). J. Phys. Condens. Matter 26: 464108. doi: 10.1088/0953-8984/26/46/464108.
10.1088/0953‐8984/26/46/464108 Google Scholar
- 120Peyronel, F., Ilavsky, J., Mazzanti, G. et al. (2013). J. Appl. Phys. 114: 234902. doi: 10.1063/1.4847997.
- 121Peyronel, F., Quinn, B., Marangoni, A.G., and Pink, D.A. (2014). J. Phys. Condens. Matter 26: 464110. doi: 10.1088/0953-8984/26/46/464110.
10.1088/0953‐8984/26/46/464110 Google Scholar
- 122Peyronel, F., Quinn, B., Marangoni, A.G., and Pink, D.A. (2014). Food Biophys. 9: 304–313. doi: 10.1007/s11483-014-9365-0.
10.1007/s11483‐014‐9365‐0 Google Scholar
- 123Haighton, A.J. (1959). J. Am. Oil Chem. Soc. 36: 345–348. doi: 10.1007/BF02640051.
- 124Rohm, H. and Weidinger, K.H. (1993). J. Texture Stud. 24: 157–172. doi: 10.1111/j.1745-4603.1993.tb00040.x.
- 125Narine, S.S. and Marangoni, A.G. (2001). Lebensm. Wiss. Technol. 34: 33–40. doi: 10.1006/fstl.2000.0719.
- 126Rousseau, D. and Marangoni, A.G. (1998). Food Res. Int. 31: 0–388. doi: 10.1016/s0963-9969(98)00100-8.
- 127Wright, A.J., Scanlon, M.G., Hartel, R.W., and Marangoni, A.G. (2001). J. Food Sci. 66: 1056–1071. doi: 10.1111/j.1365-2621.2001.tb16082.x.
- 128de Bruikne, W.D. and Bot, A. (1999). In: Food Texture Measurement and Perception (ed. A.J. Rosenthal), 185–227. Gaithersburg, MD: Aspen Publishers Inc.
- 129Mottram, F.J. (1961). Lab. Pract. 10: 767–770.
- 130Dixon, B.D. and Parekh, J.V. (1980). J. Texture Stud. 10: 421–434. doi: 10.1111/j.1745-4603.1980.tb00868.x.
- 131Vasic, I. and deMan, J.M. (1968). Rheology and Texture of Foodstuffs (SCI Monograph # 27), 251–264. New York: Academic Press.
- 132Hayakawa, M. and deMan, J.M. (1982). J. Texture Stud. 36: 201–210. doi: 10.1111/j.1745-4603.1982.tb01395.x.
10.1111/j.1745‐4603.1982.tb01395.x Google Scholar
- 133van den Tempel, M. (1961). J. Colloid Sci. 16: 284–296. doi: 10.1016/0095-8522(61)90005-8.
- 134Rousseau, D., Forestière, K., Hill, A.R., and Marangoni, A.G. (1996). J. Am. Oil Chem. Soc. 73: 963–972. doi: 10.1007/bf02523403.
- 135Rousseau, D., Hill, A.R., and Marangoni, A.G. (1996). J. Am. Oil Chem. Soc. 73: 973–981. doi: 10.1007/bf02523404.
- 136Rousseau, D., Hill, A.R., and Marangoni, A.G. (1996). J. Am. Oil Chem. Soc. 73: 983–989. doi: 10.1007/bf02523405.
- 137Marangoni, A.G. (2002). Trends Food Sci. Technol. 13: 37–47. doi: 10.1016/s0924-2244(02)00029-8.
- 138Narine, S.S. and Marangoni, A.G. (1999). Food Res. Int. 32: 227–248. doi: 10.1016/s0963-9969(99)00078-2.
- 139Tempel, M. (1979). J. Colloid Interface Sci. 71: 18–20. doi: 10.1016/0021-9797(79)90216-9.
- 140Nederveen, C.J. (1963). J. Colloid Sci. 18: 276–291. doi: 10.1016/0095-8522(63)90017-5.
- 141Payne, A.R. (1964). J. Colloid Sci. 19: 744–754. doi: 10.1016/0095-8522(64)90081-9.
- 142Brown, W. and Ball, R. (1985). J. Phys. A Math. Gen. Phys. 18: L517–L521. doi: 10.1088/0305-4470/18/9/006.
- 143Buscall, R., Mills, P.D.A., Goodwin, J.W., and Lawson, D.W. (1988). J. Chem. Soc. Faraday Trans. 1 (84): 4249–4260. doi: 10.1039/F19888404249.
10.1039/F19888404249 Google Scholar
- 144Sonntag, R.C. and Russel, W.B. (1987). J. Colloid Interface Sci. 116: 485–489. doi: 10.1016/0021-9797(87)90144-5.
- 145Vreeker, R., Hoekstra, L.L., den Boer, D.C., and Agterof, W.G.M. (1992). Colloids Surf. 65: 185–189. doi: 10.1016/0166-6622(92)80273-5.
- 146Vreeker, R., Hoekstra, L.L., den Boer, D.C., and Agterof, W.G.M. (1992). Food Hydrocoll. 6: 423–435. doi: 10.1016/s0268-005x(09)80028-3.
- 147Marangoni, A.G. and Rousseau, D. (1996). J. Am. Oil Chem. Soc. 73: 991–994. doi: 10.1007/bf02523406.
- 148Shih, W., Shih, W.Y., Kim, S. et al. (1990). Phys. Rev. A 42: 4772–4779. doi: 10.1103/physreva.42.4772.
- 149Kantor, Y. and Webman, I. (1984). Phys. Rev. Lett. 52: 1891–1894. doi: 10.1103/physrevlett.52.1891.
- 150Marangoni, A.G. (2000). Phys. Rev. B 62: 13951–13955. doi: 10.1103/PhysRevB.62.13951.
- 151Marangoni, A.G. and Rogers, M.A. (2003). Appl. Phys. Lett. 82: 3239–3241. doi: 10.1063/1.1576502.
- 152Hagiwara, T., Kumagai, H., and Nakamura, K. (1998). Food Hydrocoll. 12: 29–36. doi: 10.1016/s0268-005x(98)00043-5.
- 153Tatlier, M. and Erdem-Senatalar, A. (1999). J. Phys. Chem. B 103: 4360–4365. doi: 10.1021/jp983179x.
- 154Solecká-Cermáková, K., Vlc?ková, B., and Lednický, F. (1996). J. Phys. Chem. 100: 4954–4960. doi: 10.1021/jp952354w.
- 155Kim, A.Y. and Berg, J.C. (2000). J. Colloid Interface Sci. 229: 607–614. doi: 10.1006/jcis.2000.7028.
- 156Viczek, T. (1989). Fractal Growth Phenomena. Singapore: World Scientific.
10.1142/0511 Google Scholar
- 157Russ, J.C. (2011). The Image Processing Handbook, 6th Ed. Boca Raton, FL: CRC Press.