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Cross-link

In chemistry and biology a cross-link is a bond or a short sequence of bonds that links one polymer chain to another. These links may take the form of covalent bonds or ionic bonds and the polymers can be either synthetic polymers or natural polymers (such as proteins).

Vulcanization is an example of cross-linking. Schematic presentation of two "polymer chains" (blue and green) cross-linked after the vulcanization of natural rubber with sulfur (n = 0, 1, 2, 3, ...).


IUPAC definition for a crosslink in polymer chemistry

In polymer chemistry "cross-linking" usually refers to the use of cross-links to promote a change in the polymers' physical properties.

When "crosslinking" is used in the biological field, it refers to the use of a probe to link proteins together to check for protein–protein interactions, as well as other creative cross-linking methodologies.[not verified in body]

Although the term is used to refer to the "linking of polymer chains" for both sciences, the extent of crosslinking and specificities of the crosslinking agents vary greatly.

Synthetic polymers edit

 
Chemical reactions associated with crosslinking of drying oils, the process that produces linoleum.

Crosslinking generally involves covalent bonds that join two polymer chains. The term curing refers to the crosslinking of thermosetting resins, such as unsaturated polyester and epoxy resin, and the term vulcanization is characteristically used for rubbers.[1] When polymer chains are crosslinked, the material becomes more rigid. The mechanical properties of a polymer depend strongly on the cross-link density. Low cross-link densities increase the viscosities of polymer melts. Intermediate cross-link densities transform gummy polymers into materials that have elastomeric properties and potentially high strengths. Very high cross-link densities can cause materials to become very rigid or glassy, such as phenol-formaldehyde materials.[2]

 
Typical vinyl ester resin derived from bisphenol A diglycidyl ether. Free-radical polymerization gives a highly crosslinked polymer.[3]

In one implementation, unpolymerized or partially polymerized resin is treated with a crosslinking reagent. In vulcanization, sulfur is the cross-linking agent. Its introduction changes rubber to a more rigid, durable material associated with car and bike tires. This process is often called sulfur curing. In most cases, cross-linking is irreversible, and the resulting thermosetting material will degrade or burn if heated, without melting. Chemical covalent cross-links are stable mechanically and thermally. Therefore, cross-linked products like car tires cannot be recycled easily. A class of polymers known as thermoplastic elastomers rely on physical cross-links in their microstructure to achieve stability, and are widely used in non-tire applications, such as snowmobile tracks, and catheters for medical use. They offer a much wider range of properties than conventional cross-linked elastomers because the domains that act as cross-links are reversible, so can be reformed by heat. The stabilizing domains may be non-crystalline (as in styrene-butadiene block copolymers) or crystalline as in thermoplastic copolyesters.

 
The compound bis(triethoxysilylpropyl)tetrasulfide is a cross-linking agent: the siloxy groups link to silica and the polysulfide groups vulcanize with polyolefins.

Alkyd enamels, the dominant type of commercial oil-based paint, cure by oxidative crosslinking after exposure to air.[4]

Physical cross-links edit

In contrast to chemical cross-links, physical cross-links are formed by weaker interactions. For example, sodium alginate gels upon exposure to calcium ions, which form ionic bonds that bridge between alginate chains.[5] Polyvinyl alcohol gels upon the addition of borax through hydrogen bonding between boric acid and the polymer's alcohol groups.[6][7] Other examples of materials which form physically cross-linked gels include gelatin, collagen, agarose, and agar agar.

Measuring degree of crosslinking edit

Crosslinking is often measured by swelling tests. The crosslinked sample is placed into a good solvent at a specific temperature, and either the change in mass or the change in volume is measured. The more crosslinking, the less swelling is attainable. Based on the degree of swelling, the Flory Interaction Parameter (which relates the solvent interaction with the sample), and the density of the solvent, the theoretical degree of crosslinking can be calculated according to Flory's Network Theory.[8] Two ASTM standards are commonly used to describe the degree of crosslinking in thermoplastics. In ASTM D2765, the sample is weighed, then placed in a solvent for 24 hours, weighed again while swollen, then dried and weighed a final time.[9] The degree of swelling and the soluble portion can be calculated. In another ASTM standard, F2214, the sample is placed in an instrument that measures the height change in the sample, allowing the user to measure the volume change.[10] The crosslink density can then be calculated.

In biology edit

 
Idealized structure of lignin, a highly crosslinked polymer that is the main structural material in many plants.

Lignin edit

Lignin is a highly crosslinked polymer that comprises the main structural material of higher plants. A hydrophobic material, it is derived from precursor monolignols. Heterogeneity arises from the diversity and degree of crosslinking between these lignols.

In DNA edit

 
HN1 (bis(2-chloroethyl)ethylamine), a DNA crosslinker. Like most crosslinkers, this molecule has two reactive groups.

Intrastrand DNA crosslinks have strong effects on organisms because these lesions interfere with transcription and replication. These effects can be put to good use (addressing cancer) or they can be lethal to the host organism. The drug cisplatin functions by formation of intrastrand crosslinks in DNA.[11] Other crosslinking agents include mustard gas, mitomycin, and psoralen.[12]

Proteins edit

In proteins, crosslinks are important in generating mechanically stable structures such as hair and wool, skin, and cartilage. Disulfide bonds are common crosslinks.[13] Isopeptide bond formation is another type of protein crosslink.

The process of applying a permanent wave to hair involves the breaking and reformation disulfide bonds. Typically a mercaptan such as ammonium thioglycolate is used for the breaking. Following this, the hair is curled and then "neutralized". The neutralizer is typically an acidic solution of hydrogen peroxide, which causes new disulfide bonds to form, thus permanently fixing the hair into its new configuration.

Compromised collagen in the cornea, a condition known as keratoconus, can be treated with clinical crosslinking.[14] In biological context crosslinking could play a role in atherosclerosis through advanced glycation end-products (AGEs), which have been implicated to induce crosslinking of collagen, which may lead to vascular stiffening.[15]

Research edit

Proteins can also be cross-linked artificially using small-molecule crosslinkers. This approach has been used to elucidate protein–protein interactions.[16][17][18] Crosslinkers bind only surface residues in relatively close proximity in the native state. Common crosslinkers include the imidoester crosslinker dimethyl suberimidate, the N-Hydroxysuccinimide-ester crosslinker BS3 and formaldehyde. Each of these crosslinkers induces nucleophilic attack of the amino group of lysine and subsequent covalent bonding via the crosslinker. The zero-length carbodiimide crosslinker EDC functions by converting carboxyls into amine-reactive isourea intermediates that bind to lysine residues or other available primary amines. SMCC or its water-soluble analog, Sulfo-SMCC, is commonly used to prepare antibody-hapten conjugates for antibody development. An in-vitro cross-linking method is PICUP (photo-induced cross-linking of unmodified proteins).[19] Typical reagents are ammonium persulfate (APS), an electron acceptor, the photosensitizer tris-bipyridylruthenium (II) cation ([Ru(bpy)3]2+).[19] In in-vivo crosslinking of protein complexes, cells are grown with photoreactive diazirine analogs to leucine and methionine, which are incorporated into proteins. Upon exposure to ultraviolet light, the diazirines are activated and bind to interacting proteins that are within a few ångströms of the photo-reactive amino acid analog (UV cross-linking).[20]

See also edit

References edit

  1. ^ Hans Zweifel; Ralph D. Maier; Michael Schiller (2009). Plastics additives handbook (6th ed.). Munich: Hanser. p. 746. ISBN 978-3-446-40801-2.
  2. ^ Gent, Alan N. (1 April 2018). Engineering with Rubber: How to Design Rubber Components. Hanser. ISBN 9781569902998. Retrieved 1 April 2018 – via Google Books.
  3. ^ Pham, Ha Q.; Marks, Maurice J. (2012). "Epoxy Resins". Ullmann's Encyclopedia of Industrial Chemistry. doi:10.1002/14356007.a09_547.pub2. ISBN 978-3527306732.
  4. ^ Abraham, T.W.; Höfer, R. (2012), "Lipid-Based Polymer Building Blocks and Polymers", Polymer Science: A Comprehensive Reference, Elsevier, pp. 15–58, doi:10.1016/b978-0-444-53349-4.00253-3, ISBN 978-0-08-087862-1, retrieved 2022-06-27
  5. ^ Hecht, Hadas; Srebnik, Simcha (2016). "Structural Characterization of Sodium Alginate and Calcium Alginate". Biomacromolecules. 17 (6): 2160–2167. doi:10.1021/acs.biomac.6b00378. PMID 27177209.
  6. ^ "Experiments: PVA polymer slime". Education: Inspiring your teaching and learning. Royal Society of Chemistry. 2016. Retrieved 2 April 2022. A solution of polyvinyl alcohol (PVA) can be made into a slime by adding borax solution, which creates cross-links between polymer chains.
  7. ^ Casassa, E.Z; Sarquis, A.M; Van Dyke, C.H (1986). "The gelation of polyvinyl alcohol with borax: A novel class participation experiment involving the preparation and properties of a "slime"". Journal of Chemical Education. 63 (1): 57. Bibcode:1986JChEd..63...57C. doi:10.1021/ed063p57.
  8. ^ Flory, P.J., "Principles of Polymer Chemistry" (1953)
  9. ^ "ASTM D2765 - 16 Standard Test Methods for Determination of Gel Content and Swell Ratio of Crosslinked Ethylene Plastics". www.astm.org. Retrieved 1 April 2018.
  10. ^ "ASTM F2214 - 16 Standard Test Method for In Situ Determination of Network Parameters of Crosslinked Ultra High Molecular Weight Polyethylene (UHMWPE)". www.astm.org. Retrieved 1 April 2018.
  11. ^ Siddik, Zahid H. (2003). "Cisplatin: Mode of cytotoxic action and molecular basis of resistance". Oncogene. 22 (47): 7265–7279. doi:10.1038/sj.onc.1206933. PMID 14576837. S2CID 4350565.
  12. ^ Noll, David M.; Mason, Tracey Mcgregor; Miller, Paul S. (2006). "Formation and Repair of Interstrand Cross-Links in DNA". Chemical Reviews. 106 (2): 277–301. doi:10.1021/cr040478b. PMC 2505341. PMID 16464006.
  13. ^ Christoe, John R.; Denning, Ron J.; Evans, David J.; Huson, Mickey G.; Jones, Leslie N.; Lamb, Peter R.; Millington, Keith R.; Phillips, David G.; Pierlot, Anthony P.; Rippon, John A.; Russell, Ian M. (2005). "Wool". Kirk-Othmer Encyclopedia of Chemical Technology. doi:10.1002/0471238961.2315151214012107.a01.pub2. ISBN 9780471484943.
  14. ^ Wollensak G, Spoerl E, Seiler T. Riboflavin/ultraviolet-a-induced collagen crosslinking for the treatment of keratoconus. Am J Ophthalmol. 2003 May;135(5):620-7.
  15. ^ Prasad, Anand; Bekker, Peter; Tsimikas, Sotirios (2012-08-01). "Advanced glycation end products and diabetic cardiovascular disease". Cardiology in Review. 20 (4): 177–183. doi:10.1097/CRD.0b013e318244e57c. ISSN 1538-4683. PMID 22314141. S2CID 8471652.
  16. ^ "Pierce Protein Biology - Thermo Fisher Scientific". www.piercenet.com. Retrieved 1 April 2018.
  17. ^ Kou Qin; Chunmin Dong; Guangyu Wu; Nevin A Lambert (August 2011). "Inactive-state preassembly of Gq-coupled receptors and Gq heterotrimers". Nature Chemical Biology. 7 (11): 740–747. doi:10.1038/nchembio.642. PMC 3177959. PMID 21873996.
  18. ^ Mizsei, Réka; Li, Xiaolong; Chen, Wan-Na; Szabo, Monika; Wang, Jia-huai; Wagner, Gerhard; Reinherz, Ellis L.; Mallis, Robert J. (January 2021). "A general chemical crosslinking strategy for structural analyses of weakly interacting proteins applied to preTCR-pMHC complexes". Journal of Biological Chemistry. 296: 100255. doi:10.1016/j.jbc.2021.100255. ISSN 0021-9258. PMC 7948749. PMID 33837736.
  19. ^ a b Fancy, David A.; Kodadek, Thomas (1999-05-25). "Chemistry for the analysis of protein–protein interactions: Rapid and efficient cross-linking triggered by long wavelength light". Proceedings of the National Academy of Sciences. 96 (11): 6020–6024. Bibcode:1999PNAS...96.6020F. doi:10.1073/pnas.96.11.6020. ISSN 0027-8424. PMC 26828. PMID 10339534.
  20. ^ Suchanek, Monika; Anna Radzikowska; Christoph Thiele (April 2005). "Photo-leucine and photo-methionine allow identification of protein–protein interactions in living cells". Nature Methods. 2 (4): 261–268. doi:10.1038/nmeth752. PMID 15782218.

External links edit

  • Application note on how to measure degree of crosslinking in plastics 2013-11-02 at the Wayback Machine

cross, link, several, terms, redirect, here, looking, crosslinking, london, crosslink, water, management, infrastructure, also, reticular, disambiguation, chemistry, biology, cross, link, bond, short, sequence, bonds, that, links, polymer, chain, another, thes. Several terms redirect here You may be looking for Crosslinking of DNA London Crosslink or Water management infrastructure see also Reticular disambiguation In chemistry and biology a cross link is a bond or a short sequence of bonds that links one polymer chain to another These links may take the form of covalent bonds or ionic bonds and the polymers can be either synthetic polymers or natural polymers such as proteins Vulcanization is an example of cross linking Schematic presentation of two polymer chains blue and green cross linked after the vulcanization of natural rubber with sulfur n 0 1 2 3 IUPAC definition for a crosslink in polymer chemistry In polymer chemistry cross linking usually refers to the use of cross links to promote a change in the polymers physical properties When crosslinking is used in the biological field it refers to the use of a probe to link proteins together to check for protein protein interactions as well as other creative cross linking methodologies not verified in body Although the term is used to refer to the linking of polymer chains for both sciences the extent of crosslinking and specificities of the crosslinking agents vary greatly Contents 1 Synthetic polymers 1 1 Physical cross links 2 Measuring degree of crosslinking 3 In biology 3 1 Lignin 3 2 In DNA 3 3 Proteins 3 3 1 Research 4 See also 5 References 6 External linksSynthetic polymers edit nbsp Chemical reactions associated with crosslinking of drying oils the process that produces linoleum Crosslinking generally involves covalent bonds that join two polymer chains The term curing refers to the crosslinking of thermosetting resins such as unsaturated polyester and epoxy resin and the term vulcanization is characteristically used for rubbers 1 When polymer chains are crosslinked the material becomes more rigid The mechanical properties of a polymer depend strongly on the cross link density Low cross link densities increase the viscosities of polymer melts Intermediate cross link densities transform gummy polymers into materials that have elastomeric properties and potentially high strengths Very high cross link densities can cause materials to become very rigid or glassy such as phenol formaldehyde materials 2 nbsp Typical vinyl ester resin derived from bisphenol A diglycidyl ether Free radical polymerization gives a highly crosslinked polymer 3 In one implementation unpolymerized or partially polymerized resin is treated with a crosslinking reagent In vulcanization sulfur is the cross linking agent Its introduction changes rubber to a more rigid durable material associated with car and bike tires This process is often called sulfur curing In most cases cross linking is irreversible and the resulting thermosetting material will degrade or burn if heated without melting Chemical covalent cross links are stable mechanically and thermally Therefore cross linked products like car tires cannot be recycled easily A class of polymers known as thermoplastic elastomers rely on physical cross links in their microstructure to achieve stability and are widely used in non tire applications such as snowmobile tracks and catheters for medical use They offer a much wider range of properties than conventional cross linked elastomers because the domains that act as cross links are reversible so can be reformed by heat The stabilizing domains may be non crystalline as in styrene butadiene block copolymers or crystalline as in thermoplastic copolyesters nbsp The compound bis triethoxysilylpropyl tetrasulfide is a cross linking agent the siloxy groups link to silica and the polysulfide groups vulcanize with polyolefins Alkyd enamels the dominant type of commercial oil based paint cure by oxidative crosslinking after exposure to air 4 Physical cross links edit In contrast to chemical cross links physical cross links are formed by weaker interactions For example sodium alginate gels upon exposure to calcium ions which form ionic bonds that bridge between alginate chains 5 Polyvinyl alcohol gels upon the addition of borax through hydrogen bonding between boric acid and the polymer s alcohol groups 6 7 Other examples of materials which form physically cross linked gels include gelatin collagen agarose and agar agar Measuring degree of crosslinking editCrosslinking is often measured by swelling tests The crosslinked sample is placed into a good solvent at a specific temperature and either the change in mass or the change in volume is measured The more crosslinking the less swelling is attainable Based on the degree of swelling the Flory Interaction Parameter which relates the solvent interaction with the sample and the density of the solvent the theoretical degree of crosslinking can be calculated according to Flory s Network Theory 8 Two ASTM standards are commonly used to describe the degree of crosslinking in thermoplastics In ASTM D2765 the sample is weighed then placed in a solvent for 24 hours weighed again while swollen then dried and weighed a final time 9 The degree of swelling and the soluble portion can be calculated In another ASTM standard F2214 the sample is placed in an instrument that measures the height change in the sample allowing the user to measure the volume change 10 The crosslink density can then be calculated In biology edit nbsp Idealized structure of lignin a highly crosslinked polymer that is the main structural material in many plants Lignin edit Lignin is a highly crosslinked polymer that comprises the main structural material of higher plants A hydrophobic material it is derived from precursor monolignols Heterogeneity arises from the diversity and degree of crosslinking between these lignols In DNA edit nbsp HN1 bis 2 chloroethyl ethylamine a DNA crosslinker Like most crosslinkers this molecule has two reactive groups Intrastrand DNA crosslinks have strong effects on organisms because these lesions interfere with transcription and replication These effects can be put to good use addressing cancer or they can be lethal to the host organism The drug cisplatin functions by formation of intrastrand crosslinks in DNA 11 Other crosslinking agents include mustard gas mitomycin and psoralen 12 Proteins edit In proteins crosslinks are important in generating mechanically stable structures such as hair and wool skin and cartilage Disulfide bonds are common crosslinks 13 Isopeptide bond formation is another type of protein crosslink The process of applying a permanent wave to hair involves the breaking and reformation disulfide bonds Typically a mercaptan such as ammonium thioglycolate is used for the breaking Following this the hair is curled and then neutralized The neutralizer is typically an acidic solution of hydrogen peroxide which causes new disulfide bonds to form thus permanently fixing the hair into its new configuration Compromised collagen in the cornea a condition known as keratoconus can be treated with clinical crosslinking 14 In biological context crosslinking could play a role in atherosclerosis through advanced glycation end products AGEs which have been implicated to induce crosslinking of collagen which may lead to vascular stiffening 15 Research edit Proteins can also be cross linked artificially using small molecule crosslinkers This approach has been used to elucidate protein protein interactions 16 17 18 Crosslinkers bind only surface residues in relatively close proximity in the native state Common crosslinkers include the imidoester crosslinker dimethyl suberimidate the N Hydroxysuccinimide ester crosslinker BS3 and formaldehyde Each of these crosslinkers induces nucleophilic attack of the amino group of lysine and subsequent covalent bonding via the crosslinker The zero length carbodiimide crosslinker EDC functions by converting carboxyls into amine reactive isourea intermediates that bind to lysine residues or other available primary amines SMCC or its water soluble analog Sulfo SMCC is commonly used to prepare antibody hapten conjugates for antibody development An in vitro cross linking method is PICUP photo induced cross linking of unmodified proteins 19 Typical reagents are ammonium persulfate APS an electron acceptor the photosensitizer tris bipyridylruthenium II cation Ru bpy 3 2 19 In in vivo crosslinking of protein complexes cells are grown with photoreactive diazirine analogs to leucine and methionine which are incorporated into proteins Upon exposure to ultraviolet light the diazirines are activated and bind to interacting proteins that are within a few angstroms of the photo reactive amino acid analog UV cross linking 20 See also editBranching polymer chemistry Cross linked enzyme aggregate Cross linked polyethylene PEX Crosslinking of DNA Fixation histology Phenol formaldehyde resin phenolic resin References edit Hans Zweifel Ralph D Maier Michael Schiller 2009 Plastics additives handbook 6th ed Munich Hanser p 746 ISBN 978 3 446 40801 2 Gent Alan N 1 April 2018 Engineering with Rubber How to Design Rubber Components Hanser ISBN 9781569902998 Retrieved 1 April 2018 via Google Books Pham Ha Q Marks Maurice J 2012 Epoxy Resins Ullmann s Encyclopedia of Industrial Chemistry doi 10 1002 14356007 a09 547 pub2 ISBN 978 3527306732 Abraham T W Hofer R 2012 Lipid Based Polymer Building Blocks and Polymers Polymer Science A Comprehensive Reference Elsevier pp 15 58 doi 10 1016 b978 0 444 53349 4 00253 3 ISBN 978 0 08 087862 1 retrieved 2022 06 27 Hecht Hadas Srebnik Simcha 2016 Structural Characterization of Sodium Alginate and Calcium Alginate Biomacromolecules 17 6 2160 2167 doi 10 1021 acs biomac 6b00378 PMID 27177209 Experiments PVA polymer slime Education Inspiring your teaching and learning Royal Society of Chemistry 2016 Retrieved 2 April 2022 A solution of polyvinyl alcohol PVA can be made into a slime by adding borax solution which creates cross links between polymer chains Casassa E Z Sarquis A M Van Dyke C H 1986 The gelation of polyvinyl alcohol with borax A novel class participation experiment involving the preparation and properties of a slime Journal of Chemical Education 63 1 57 Bibcode 1986JChEd 63 57C doi 10 1021 ed063p57 Flory P J Principles of Polymer Chemistry 1953 ASTM D2765 16 Standard Test Methods for Determination of Gel Content and Swell Ratio of Crosslinked Ethylene Plastics www astm org Retrieved 1 April 2018 ASTM F2214 16 Standard Test Method for In Situ Determination of Network Parameters of Crosslinked Ultra High Molecular Weight Polyethylene UHMWPE www astm org Retrieved 1 April 2018 Siddik Zahid H 2003 Cisplatin Mode of cytotoxic action and molecular basis of resistance Oncogene 22 47 7265 7279 doi 10 1038 sj onc 1206933 PMID 14576837 S2CID 4350565 Noll David M Mason Tracey Mcgregor Miller Paul S 2006 Formation and Repair of Interstrand Cross Links in DNA Chemical Reviews 106 2 277 301 doi 10 1021 cr040478b PMC 2505341 PMID 16464006 Christoe John R Denning Ron J Evans David J Huson Mickey G Jones Leslie N Lamb Peter R Millington Keith R Phillips David G Pierlot Anthony P Rippon John A Russell Ian M 2005 Wool Kirk Othmer Encyclopedia of Chemical Technology doi 10 1002 0471238961 2315151214012107 a01 pub2 ISBN 9780471484943 Wollensak G Spoerl E Seiler T Riboflavin ultraviolet a induced collagen crosslinking for the treatment of keratoconus Am J Ophthalmol 2003 May 135 5 620 7 Prasad Anand Bekker Peter Tsimikas Sotirios 2012 08 01 Advanced glycation end products and diabetic cardiovascular disease Cardiology in Review 20 4 177 183 doi 10 1097 CRD 0b013e318244e57c ISSN 1538 4683 PMID 22314141 S2CID 8471652 Pierce Protein Biology Thermo Fisher Scientific www piercenet com Retrieved 1 April 2018 Kou Qin Chunmin Dong Guangyu Wu Nevin A Lambert August 2011 Inactive state preassembly of Gq coupled receptors and Gq heterotrimers Nature Chemical Biology 7 11 740 747 doi 10 1038 nchembio 642 PMC 3177959 PMID 21873996 Mizsei Reka Li Xiaolong Chen Wan Na Szabo Monika Wang Jia huai Wagner Gerhard Reinherz Ellis L Mallis Robert J January 2021 A general chemical crosslinking strategy for structural analyses of weakly interacting proteins applied to preTCR pMHC complexes Journal of Biological Chemistry 296 100255 doi 10 1016 j jbc 2021 100255 ISSN 0021 9258 PMC 7948749 PMID 33837736 a b Fancy David A Kodadek Thomas 1999 05 25 Chemistry for the analysis of protein protein interactions Rapid and efficient cross linking triggered by long wavelength light Proceedings of the National Academy of Sciences 96 11 6020 6024 Bibcode 1999PNAS 96 6020F doi 10 1073 pnas 96 11 6020 ISSN 0027 8424 PMC 26828 PMID 10339534 Suchanek Monika Anna Radzikowska Christoph Thiele April 2005 Photo leucine and photo methionine allow identification of protein protein interactions in living cells Nature Methods 2 4 261 268 doi 10 1038 nmeth752 PMID 15782218 External links editApplication note on how to measure degree of crosslinking in plastics Archived 2013 11 02 at the Wayback Machine Retrieved from https en wikipedia org w 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