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Gas Permeation and Barrier Properties of Liquid Crystalline Polymers

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Polymers and Polymeric Composites: A Reference Series

Abstract

This chapter reviews gas permeation and barrier properties of crystalline and liquid crystalline polymers from both theoretical mechanism and experimental measurement. The permeability is closely related to both solubility and diffusivity in polymers. Various factors such as crystallinity and crystalline-amorphous morphology play important roles in the solubility and diffusivity, and thus the permeability of crystalline and liquid crystalline polymers.

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References

  • Alter H (1962) Critical investigation of polyethylene gas permeability. J Polym Sci 57:925–935

    Article  CAS  Google Scholar 

  • Ash R, Barrer RM, Palmer DG (1970) Solubility and transport of gases in nylon and polyethylene. Polymer 11:421–435

    Article  CAS  Google Scholar 

  • Auras RA, Harte B, Selke S, Hernandez R (2003) Mechanical, physical, and barrier properties of poly(lactide) films. J Plast Film Sheeting 19:123–135

    Article  CAS  Google Scholar 

  • Bao L, Dorgan JR, Knauss D, Hait S, Oliveira NS, Maruccho IM (2006) Gas permeation properties of poly(lactic acid) revisited. J Membr Sci 285:166–172

    Article  CAS  Google Scholar 

  • Bernal-Lara TE, Liu RYF, Hiltner A, Baer E (2005) Structure and thermal stability of polyethylene nanolayers. Polymer 46:3043–3055

    Article  CAS  Google Scholar 

  • Bixler HJ, Michaels AS, Salame M (1963) Gas transmission in irradiated polyethylene. J Polym Sci Part A: General Papers 1:895–919

    CAS  Google Scholar 

  • Budzien JL, McCoy JD, Weinkauf DH, LaViolette RA, Peterson ES (1998) Solubility of gases in amorphous polyethylene. Macromolecules 31:3368–3371

    Article  CAS  Google Scholar 

  • Buquet CL, Doudou BB, Chappey C, Dargent E, Marais S (2009) Permeation properties of poly(.-xylene adipamide) membranes. J Phys Chem B 113:3445–3452

    Article  PubMed  CAS  Google Scholar 

  • Chen DS, Hsiue GH (1993) Gas transport properties of linear and crosslinked side-chain liquid-crystalline polymers with variable spacer lengths. Makromol Chem 194:2025–2033

    Article  CAS  Google Scholar 

  • Chen DS, Hsiue GH, Hsu CS (1991) Gas permeation through a side-chain liquid-crystalline polysiloxane-based membrane. Makromol Chem 192:2021–2029

    Article  CAS  Google Scholar 

  • Chen DS, Hsiue GH, Hsu CS (1992) Gas permeation through two side-chain liquid-crystalline polyacrylate-based membranes containing 4-methoxyphenyl 4-hexyloxybenzoate or 4-cyanophenyl 4-hexyloxybenzoate mesogenic side groups. Makromol Chem 193:1469–1479

    Article  CAS  Google Scholar 

  • Chiou JS, Paul DR (1987) Gas transport in a thermotropic liquid-crystalline polyester. J Polym Sci B Polym Phys 25:1699–1707

    Article  CAS  Google Scholar 

  • Compan V, Andrio A, Lopez ML, Alvarez C, Riande E (1997) Effect of time of annealing on gas permeation through coextruded linear low-density polyethylene (LLDPE) films. Macromolecules 30:3317–3322

    Article  CAS  Google Scholar 

  • Compan V, Lopez-Lidon M, Andrio A, Riande E (1998) Transport mechanisms of gases in annealed linear low density polyethylene films. Macromolecules 31:6984–6990

    Article  CAS  Google Scholar 

  • Cowling R, Park GS (1979) Permeability, solubility and diffusion of gases in amorphous and crystalline 1,4-polybutadiene membranes. J Membr Sci 5:199–207

    Article  CAS  Google Scholar 

  • De Candia F, Renzulli A, Vittoria V, Roviello A, Sirigu A (1990) Transport properties of a thermotropic liquid-crystalline polyester. J Polym Sci B Polym Phys 28:203–211

    Article  Google Scholar 

  • De Candia F, Capodanno V, Renzulli A, Vittoria V (1991) Permeation of carbon dioxide in a thermotropic liquid-crystalline polyester. J Appl Polym Sci 42:2959–2963

    Article  Google Scholar 

  • El-Hibri MJ, Paul DR (1986) Gas transport in poly(vinylidene fluoride): effects of uniaxial drawing and processing temperature. J Appl Polym Sci 31:2533–2560

    Article  CAS  Google Scholar 

  • Farrow G (1963) Crystallinity, “crystallite size,” and melting point of polypropylene. Polymer 4:191–197

    Article  CAS  Google Scholar 

  • Flodberg G, Hedenqvist MS, Gedde UW (2003) Barrier properties of injection molded blends of liquid crystalline polyesters (Vectra) and high-density polyethylene. Polym Eng Sci 43:1044–1057

    Article  CAS  Google Scholar 

  • Freeman BD, Hill AJ (1998) Free volume and transport properties of barrier and membrane polymers. In: Structure and properties of glassy polymers. ACS symposium series 710, San Francisco

    Google Scholar 

  • Griffith JH, Ranby BG (1960) Dilatometric measurements on poly(4-methyl-1-pentene) glass and melt transition temperatures, crystallization rates, and unusual density behavior. J Polym Sci 44:369–381

    Article  CAS  Google Scholar 

  • Hindeleh AM, Abdo SM (1989) Effects of annealing on the crystallinity and microparacrystallite size of Kevlar 49 fibers. Polymer 30:218–224

    Article  CAS  Google Scholar 

  • Hirose T, Kamiya Y, Mizoguchi K (1989) Gas transport in poly[bis(trifluoroethoxy)phosphazene]. J Appl Polym Sci 38:809–820

    Article  CAS  Google Scholar 

  • Hodge K, Prodpran T, Shenogina NB, Nazarenko S (2001) Diffusion of oxygen and carbon dioxide in thermally crystallized syndiotactic polystyrene. J Polym Sci B Polym Phys 39:2519–2538

    Article  CAS  Google Scholar 

  • Holden PS, Orchard GAJ, Ward IM (1985) A study of the gas barrier properties of highly oriented polyethylene. J Polym Sci Polym Phys 23:709–731

    Article  CAS  Google Scholar 

  • Hu YS, Liu RYF, Rogunova M, Schiraldi DA, Nazarenko S, Hiltner A, Baer E (2002a) Oxygen-barrier properties of cold-crystallized and melt-crystallized poly(ethylene terephthalate-co-4,4′-bibenzoate). J Polym Sci B Polym Phys 40:2489–2503

    Article  CAS  Google Scholar 

  • Hu YS, Liu RYF, Zhang LQ, Rogunova M, Schiraldi DA, Nazarenko S, Hiltner A, Baer E (2002b) Oxygen transport and free volume in cold-crystallized and melt-crystallized poly(ethylene naphthalate). Macromolecules 35:7326–7337

    Article  CAS  Google Scholar 

  • Hu YS, Schiraldi DA, Hiltner A, Baer E (2003) Structural model for oxygen permeability of a liquid crystalline polymer. Macromolecules 36:3606–3615

    Article  CAS  Google Scholar 

  • Hu YS, Hiltner A, Baer E (2005a) Improving oxygen barrier properties of poly(ethylene terephthalate) by incorporating isophthalate. II. Effect of crystallization. J Appl Polym Sci 98:1629–1642

    Article  CAS  Google Scholar 

  • Hu YS, Mehta S, Schiraldi DA, Hiltner A, Baer E (2005b) Effect of water sorption on oxygen-barrier properties of aromatic polyamides. J Polym Sci B Polym Phys 43:1365–1381

    Article  CAS  Google Scholar 

  • Hu YS, Prattipati V, Mehta S, Schiraldi DA, Hiltner A, Baer E (2005c) Improving gas barrier of PET by blending with aromatic polyamides. Polymer 46:2685–2698

    Article  CAS  Google Scholar 

  • Hu YS, Hiltner A, Baer E (2006a) Oxygen transport properties of liquid crystalline poly(pentamethylene 4,4′-bibenzoate). Polymer 47:4058–4067

    Article  CAS  Google Scholar 

  • Hu YS, Hiltner A, Baer E (2006b) Solid state structure and oxygen transport properties of copolyesters based on smectic poly(hexamethylene 4,4′-bibenzoate). Polymer 47:2423–2433

    Article  CAS  Google Scholar 

  • Hu YS, Wang HP, Schiraldi DA, Hiltner A, Baer E (2007) Oxygen-transport properties of liquid-crystalline polyesters based on 4,4′-bibenzoic acid. J Appl Polym Sci 105:30–37

    Article  CAS  Google Scholar 

  • Incarnato L, Scarfato P, Motta O, Acierno D (2000) Properties of films from polypropylene and thermotropic liquid crystalline polymer blends. Polym Compos 21:354–360

    Article  CAS  Google Scholar 

  • Kajiyama T, Nagata Y, Washizu S, Takayanagi M (1982) Characterization and gas permeation of polycarbonate/liquid crystal composite membrane. J Membr Sci 11:39–52

    Article  CAS  Google Scholar 

  • Kajiyama T, Washizu S, Ohmori Y (1985) Oxygen permselective characteristics of a poly(vinyl chloride)/liquid crystal/fluorocarbon ternary composite membrane. J Membr Sci 24:73–81

    Article  CAS  Google Scholar 

  • Kajiyama T, Kikuchi H, Shinkai S (1988) Novel polymer/liquid crystal composite membrane with unique permselective characteristics. J Membr Sci 36:243–255

    Article  CAS  Google Scholar 

  • Kanehashi S, Nagai K (2005) Analysis of dual-mode model parameters for gas sorption in glassy polymers. J Membr Sci 253:117–138

    Article  CAS  Google Scholar 

  • Kanekura K, Tsujita Y, Yoshimizu H, Okamoto S, Kunisada H, Goto M (2005) Characterization and transport properties of a novel aliphatic polyamide with an ethyl branch. J Appl Polym Sci 98:1955–1960

    Article  CAS  Google Scholar 

  • Kawakami H, Mori Y, Abe H, Nagaoka S (1997) Gas transport properties of liquid crystalline polysiloxane with laterally attached side chain. J Membr Sci 133:245–253

    Article  CAS  Google Scholar 

  • Kim JH, Lee YM (2001) Gas permeation properties of poly(amide-6-b-ethylene oxide)-silica hybrid membranes. J Membr Sci 193:209–225

    Article  CAS  Google Scholar 

  • Kim JH, Ha SY, Lee YM (2001) Gas permeation of poly(amide-6-.-ethylene oxide) copolymer. J Membr Sci 190:179–193

    Article  CAS  Google Scholar 

  • Kirkland BS, Paul DR (2008) Gas transport in poly(n-alkyl acrylate)/poly(m-alkyl acrylate) blends. Polymer 49:507–524

    Article  CAS  Google Scholar 

  • Kofinas P, Cohen RE, Halasa AF (1994) Gas permeability of polyethylene/poly(ethylene-propylene) semicrystalline diblock copolymers. Polymer 35:1229–1235

    Article  CAS  Google Scholar 

  • Komatsuka T, Nagai K (2009) Temperature dependence on gas permeability and permselectivity of poly(lactic acid) blend membranes. Polym J 41:455–458

    Article  CAS  Google Scholar 

  • Komatsuka T, Kusakabe A, Nagai K (2008) Characterization and gas transport properties of poly(lactic acid) blend membranes. Desalination 234:212–220

    Article  CAS  Google Scholar 

  • Köncke U, Zachmann HG, Baltá-Calleja FJ (1996) New aspects concerning the structure and degree of crystallinity in high-pressure-crystallized poly(ethylene terephthalate). Macromolecules 29:6019–6022

    Article  Google Scholar 

  • Krevelen DW, Nijenhuis K (2009) Properties of polymers, 4th edn. Elsevier, Amsterdam

    Google Scholar 

  • Kumazawa H, Wang JS, Fukuda T, Sada E (1994) Permeation of carbon dioxide in glassy poly(ether imide) and poly(ether ether ketone) membranes. J Membr Sci 93:53–59

    Article  CAS  Google Scholar 

  • Laguna MF, Cerrada ML, Benavente R, Perez E, Quijada R (2003) Permeation measurements in ethylene-1-hexene, ethylene-1-octene, and ethylene-1-dodecene copolymers synthesized with metallocene catalysts. J Polym Sci B Polym Phys 41:2174–2184

    Article  CAS  Google Scholar 

  • Lasoski SW Jr, Cobbs WH Jr (1959) Moisture permeability of polymers. I. Role of crystallinity and orientation. J Polym Sci 36:21–33

    Article  CAS  Google Scholar 

  • Lehermeier HJ, Dorgan JR, Way JD (2001) Gas permeation properties of poly(lactic acid). J Membr Sci 190:243–251

    Article  CAS  Google Scholar 

  • Levaesalmi J-M, McCarthy TJ (1995) Gas permeability of surface-selectively chlorinated poly(4-methyl-1-pentene). Macromolecules 28:1733–1738

    Article  CAS  Google Scholar 

  • Li L, Wang C, Huang R, Zhang L, Hong S (2001) Morphology of high-pressure crystallized poly(ethylene 2,6-naphthalate). Polymer 42:8867–8872

    Article  CAS  Google Scholar 

  • Lin H, Freeman BD (2004) Gas solubility, diffusivity and permeability in poly(ethylene oxide). J Membr Sci 239:105–117

    Article  CAS  Google Scholar 

  • Lin YJ, Dias P, Chen HY, Chum S, Hiltner A, Baer E (2008a) Oxygen permeability of biaxially oriented polypropylene films. Polym Eng Sci 48:642–648

    Article  CAS  Google Scholar 

  • Lin YJ, Dias P, Chen HY, Hiltner A, Baer E (2008b) Relationship between biaxial orientation and oxygen permeability of polypropylene film. Polymer 49:2578–2586

    Article  CAS  Google Scholar 

  • Liu RYF, Hu YS, Schiraldi DA, Hiltner A, Baer E (2004) Crystallinity and oxygen transport properties of PET bottle walls. J Appl Polym Sci 94:671–677

    Article  CAS  Google Scholar 

  • Mark HF (2003) Encyclopedia of polymer science and technology, 3rd edn. Wiley, Hoboken

    Google Scholar 

  • Mark JE (2007) Physical properties of polymers handbook. Springer, Boca Raton

    Book  Google Scholar 

  • Maxwell AS, Unwin AP, Ward IM (1996) The mechanical behavior of oriented high-pressure annealed polyethylene. Polymer 37:3283–3291

    Article  CAS  Google Scholar 

  • Mendes LC, Jatoba LFC, Ferreira AF, Garcia MEF (2004) Effect of addition of oligobetapinene on morphology, thermal and gas permeation properties in blends with HDPE. J Appl Polym Sci 91:315–320

    Article  CAS  Google Scholar 

  • Mensitieri G, Del Nobile MA, Manfredi C (1996) Thermal effects on the gas transmission properties of ionomers used in food packaging applications. Packag Technol Sci 9:225–236

    Article  CAS  Google Scholar 

  • Metz SJ, Mulder MHV, Wessling M (2004) Gas-permeation properties of poly(ethylene oxide) poly(butylene terephthalate) block copolymers. Macromolecules 37:4590–4597

    Article  CAS  Google Scholar 

  • Michaels AS, Bixler HJ (1961a) Flow of gases through polyethylene [and rubbery polymers]. J Polym Sci 50:413–439

    Article  CAS  Google Scholar 

  • Michaels AS, Bixler HJ (1961b) Solubility of gases in polyethylene [and rubbery polymers]. J Polym Sci 50:393–412

    Article  CAS  Google Scholar 

  • Michaels AS, Parker RB Jr (1959) Sorption and flow of gases in polyethylene. J Polym Sci 41:53–71

    Article  CAS  Google Scholar 

  • Michaels AS, Vieth WR, Barrie JA (1963) Diffusion of gases in poly(ethylene terephthalate). J Appl Phys 34:13–20

    Article  CAS  Google Scholar 

  • Mizoguchi K, Kamiya Y, Hirose T (1991) Gas transport in poly[bis(trifluoroethoxy) phosphazene] above the T(1) transition. J Polym Sci B Polym Phys 29:695–703

    Article  CAS  Google Scholar 

  • Mogri Z, Paul DR (2000a) Membrane formation techniques for gas permeation measurements for side-chain crystalline polymers. J Membr Sci 175:253–265

    Article  CAS  Google Scholar 

  • Mogri Z, Paul DR (2000b) Gas sorption and transport in side-chain crystalline and molten poly(octadecyl acrylate). Polymer 42:2531–2542

    Article  Google Scholar 

  • Mogri Z, Paul DR (2001a) Gas sorption and transport in poly(alkyl (meth)acrylate)s. I. Permeation properties. Polymer 42:7765–7780

    Article  CAS  Google Scholar 

  • Mogri Z, Paul DR (2001b) Gas sorption and transport in poly(alkyl (meth)acrylate)s. II. Sorption and diffusion properties. Polymer 42:7781–7789

    Article  CAS  Google Scholar 

  • Mohr JM, Paul DR (1991) Effect of casting solvent on the permeability of poly(4-methyl-1-pentene). Polymer 32:1236–1243

    Article  CAS  Google Scholar 

  • Nagai K, Freeman BD, Cannon A, Allcock HR (2000) Gas permeability of poly(bis-trifluoroethoxyphosphazene) and blends with adamantane amino/trifluoroethoxy (50/50) polyphosphazene. J Membr Sci 172:167–176

    Article  CAS  Google Scholar 

  • O’Leary KA, Paul DR (2006a) Physical properties of poly(n-alkyl acrylate) copolymers. Part 1. Crystalline/crystalline combinations. Polymer 47:1226–1244

    Article  CAS  Google Scholar 

  • O’Leary KA, Paul DR (2006b) Physical properties of poly(n-alkyl acrylate) copolymers. Part 2. Crystalline/non-crystalline combinations. Polymer 47:1245–1258

    Article  CAS  Google Scholar 

  • Park JY, Paul DR, Haider I, Jaffe M (1996) Effect of thermal annealing on the gas permeability of HIQ-40 films. J Polym Sci B Polym Phys 34:1741–1746

    Article  CAS  Google Scholar 

  • Paul DR, Yampol’skii YP (1994) Polymeric gas separation membranes. CRC, Boca Raton

    Google Scholar 

  • Pethe VV, Wang HP, Hiltner A, Baer E, Freeman BD (2008) Oxygen and carbon dioxide permeability of EAA/PEO blends and microlayers. J Appl Polym Sci 110:1411–1419

    Article  CAS  Google Scholar 

  • Poling BE, Prausnitz JM, O’Connell JP (2000) The properties of gases and liquids, 4th edn. McGraw-Hill, New York

    Google Scholar 

  • Polyakova A, Stepanov EV, Sekelik D, Schiraldi DA, Hiltner A, Baer E (2001) Effect of crystallization on oxygen-barrier properties of copolyesters based on ethylene terephthalate. J Polym Sci B Polym Phys 39:1911–1919

    Article  CAS  Google Scholar 

  • Prodpran T, Shenogin S, Nazarenko S (2002) Gas transport behavior of semicrystalline syndiotactic polystyrene containing α and β crystalline forms. Polymer 43:2295–2309

    Article  CAS  Google Scholar 

  • Puleo AC, Paul DR, Wong PK (1989) Gas sorption and transport in semicrystalline poly(4-methyl-1-pentene). Polymer 30:1357–1366

    Article  CAS  Google Scholar 

  • Qureshi N, Stepanov EV, Schiraldi D, Hiltner A, Baer E (2000) Oxygen-barrier properties of oriented and heat-set poly(ethylene terephthalate). J Polym Sci B Polym Phys 38:1679–1686

    Article  CAS  Google Scholar 

  • Ranby BG, Chan KS, Brumberger H (1962) Higher-order transitions in poly(4-methyl-1-pentene). J Polym Sci 58:545–552

    Article  CAS  Google Scholar 

  • Renouf-Glauser AC, Rose J, Farrar DF, Cameron RE (2005) The effect of crystallinity on the deformation mechanism and bulk mechanical properties of PLLA. Biomaterials 26:5771–5782

    Article  CAS  PubMed  Google Scholar 

  • Runt J, Kanchanasopa M (2008) Characterization and analysis of polymers. Wiley, Hoboken

    Google Scholar 

  • Sawada H, Takahashi Y, Miyata S, Kanehashi S, Sato S, Nagai K (2010) Gas transport properties and crystalline structures of poly(lactic acid) membranes. Trans Mater Res Soc Jpn 35:241–246

    Article  CAS  Google Scholar 

  • Somlai LS, Liu RYF, Landoll LM, Hiltner A, Baer E (2005) Effect of orientation on the free volume and oxygen transport of a polypropylene copolymer. J Polym Sci B Polym Phys 43:1230–1243

    Article  CAS  Google Scholar 

  • Srinivas S, Brant P, Huang Y, Paul DR (2003) Structure and properties of oriented polyethylene films. Polym Eng Sci 43:831–849

    Article  CAS  Google Scholar 

  • Suzuki T, Tanaka T, Nakajima M, Yoshimizu H, Tsujita Y (2002) Characterization of the cavity in poly(4-methyl-1-pentene) crystal by gas permeation and 129Xe NMR measurements. Polym J 34:891–896

    Article  CAS  Google Scholar 

  • Tsujita Y, Ojika R, Takizawa A, Kinoshita T (1990) Thermal and transport properties of copoly(γ-stearyl L-glutamate-γ-methyl L-glutamate). J Polym Sci, Part A: Polym Chem 28:1341–1351

    Article  CAS  Google Scholar 

  • Tsujita Y, Yoshimizu H, Okamoto S (2005) Smart membrane: preparation of molecular cavity and preferential sorption of small molecule. J Mol Struct 739:3–12

    Article  CAS  Google Scholar 

  • Uriarte C, Alfageme J, Iruin JJ (1998) Carbon dioxide transport properties of composite membranes of a polyetherimide and a liquid crystal polymer. Eur Polym J 34:1405–1413

    Article  CAS  Google Scholar 

  • Vieth WR, Wuerth WF (1969) Transport properties and their correlation with the morphology of thermally conditioned polypropylene. J Appl Polym Sci 13:685–712

    Article  CAS  Google Scholar 

  • Waack R, Alex NH, Frisch HL, Stannett V, Szwarc M (1955) Permeability of polymer films to gases and vapors. Ind Eng Chem 47:2524–2527

    Article  CAS  Google Scholar 

  • Wang Y, Easteal AJ (1999) Preparation, characterization and gas transport properties of trifluoroacetylated ethyl cellulose. J Membr Sci 157:53–61

    Article  CAS  Google Scholar 

  • Weinkauf DH, Paul DR (1991) Gas transport properties of liquid crystalline poly(ethylene terephthalate-co-.-oxybenzoate). J Polym Sci B Polym Phys 29:329–340

    Article  CAS  Google Scholar 

  • Weinkauf DH, Paul DR (1992a) Gas transport properties of thermotropic liquid-crystalline copolyesters. I. The effects of orientation and annealing. J Polym Sci B Polym Phys 30:817–835

    Article  CAS  Google Scholar 

  • Weinkauf DH, Paul DR (1992b) Gas transport properties of thermotropic liquid-crystalline copolyesters. II. The effects of copolymer composition. J Polym Sci B Polym Phys 30:837–849

    Article  CAS  Google Scholar 

  • Weinkauf DH, Kim HD, Paul DR (1992) Gas transport properties of liquid crystalline poly(.-phenyleneterephthalamide). Macromolecules 25:788–796

    Article  CAS  Google Scholar 

  • Wiberg G, Gedde UW (1997) Structural relaxation of an oriented thermotropic liquid crystalline copolyester assessed by infrared spectroscopy and x-ray diffraction. Polymer 38:3753–3759

    Article  CAS  Google Scholar 

  • Wu HD, Wu SC, Wu ID, Chang FC (2001) Novel determination of the crystallinity of syndiotactic polystyrene using FTIR spectrum. Polymer 42:4719–4725

    Article  CAS  Google Scholar 

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Ando, S., Sato, S., Nagai, K. (2019). Gas Permeation and Barrier Properties of Liquid Crystalline Polymers. In: Palsule, S. (eds) Polymers and Polymeric Composites: A Reference Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37179-0_67-1

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