Tacticity

{{Short description|Relative conformational uniformity of repeating units in a macromolecule}}

{{TopicTOC-Polymer}}

Image:Syndiotactic polypropene.png.]]

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Tacticity (from {{langx|el|τακτικός|taktikos}}, "relating to arrangement or order") is the relative stereochemistry of adjacent chiral centers within a macromolecule.Introduction to polymers R.J. Young {{ISBN|0-412-22170-5}}{{page needed|date = December 2024}}{{full|date = December 2024}}{{better source|date = December 2024}} The practical significance of tacticity rests on the effects on the physical properties of the polymer.{{citation needed lead|date = December 2024}} The regularity of the macromolecular structure influences the degree to which it has rigid, crystalline long range order or flexible, amorphous long range disorder.{{citation needed lead|date = December 2024}} Precise knowledge of tacticity of a polymer also helps understanding at what temperature a polymer melts, how soluble it is in a solvent,{{citation needed lead|date = December 2024}} as well as its mechanical properties.{{citation needed lead|date = December 2024}}

A tactic macromolecule in the IUPAC definition is a macromolecule in which essentially all the configurational (repeating) units are identical. In a hydrocarbon macromolecule with all carbon atoms making up the backbone in a tetrahedral molecular geometry, the zigzag backbone is in the paper plane with the substituents either sticking out of the paper or retreating into the paper;{{Overly detailed inline|date = December 2024}}, this projection is called the Natta projection after Giulio Natta.{{citation needed lead|date = December 2024}} Tacticity is particularly significant in vinyl polymers of the type -{{chem|H|2|C-CH(R)-}}, where each repeating unit contains a substituent R attached to one side of the polymer backbone. The arrangement of these substituents can follow a regular pattern- appearing on the same side as the previous one, on the opposite side, or in a random configuration relative to the preceding unit. Monotactic macromolecules have one stereoisomeric atom per repeat unit,{{citation needed lead|date = December 2024}} ditactic to n-tactic macromolecules have more than one stereoisomeric atom per unit.{{citation needed lead|date = December 2024}}

{{Quote box

|title =IUPAC definition

|quote = The orderliness of the succession of configurational repeating units in
the main chain of a regular macromolecule, a regular oligomer molecule,
a regular block, or a regular chain.{{cite journal |title=Glossary of basic terms in polymer science (IUPAC Recommendations 1996) |journal=Pure and Applied Chemistry |year=1996 |volume=68 |issue=12 |pages=2287–2311 |doi=10.1351/pac199668122287 |url=http://pac.iupac.org/publications/pac/pdf/1996/pdf/6812x2287.pdf |last1=Jenkins |first1=A. D. |last2=Kratochvíl |first2=P. |last3=Stepto |first3=R. F. T. |last4=Suter |first4=U. W. |s2cid=98774337 |access-date=2013-07-25 |archive-date=2016-03-04 |archive-url=https://web.archive.org/web/20160304041907/http://pac.iupac.org/publications/pac/pdf/1996/pdf/6812x2287.pdf |url-status=dead }}

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Describing tacticity

=Diads=

Two adjacent structural units in a polymer molecule constitute a diad. Diads overlap: each structural unit is considered part of two diads, one diad with each neighbor. If a diad consists of two identically oriented units, the diad is called an {{nobr|m diad}} (formerly meso diad, as in a meso compound, now proscribed{{cite journal|title=Definitions and notations relating to tactic polymers (IUPAC Recommendations 2020)|journal=Pure and Applied Chemistry|year=2020|volume=92|issue=11|pages=1769–1779|doi=10.1515/pac-2019-0409|url=https://www.degruyter.com/document/doi/10.1515/pac-2019-0409/html|last1=Fellows|first1=Christopher M.|last2=Hellwich|first2=Karl-Heinz|last3=Meille|first3=Stefano V.|last4=Moad|first4=Graeme|last5=Nakano|first5=Tamaki|last6=Vert|first6=Michel|hdl=11311/1163218|hdl-access=free}}). If a diad consists of units oriented in opposition, the diad is called an {{nobr|r diad}} (formerly racemo diad, as in a racemic compound, now proscribed). In the case of vinyl polymer molecules, an {{nobr|m diad}} is one in which the substituents are oriented on the same side of the polymer backbone; in the Natta projection, they both point into the plane or both point out of the plane.

=Triads=

The stereochemistry of macromolecules can be defined even more precisely with the introduction of triads. An isotactic triad (mm) is made up of two adjacent m diads, a syndiotactic triad (also spelled syndyotacticWebster's Third New International Dictionary of the English Language, Unabridged; Oxford English Dictionary.) (rr) consists of two adjacent {{nobr|r diads}}, and a heterotactic triad (rm) is composed of an {{nobr|r diad}} adjacent to an {{nobr|m diad}}. The mass fraction of isotactic (mm) triads is a common quantitative measure of tacticity.

When the stereochemistry of a macromolecule is considered to be a Bernoulli process, the triad composition can be calculated from the probability Pm of a diad being {{nobr|m type}}. For example, when this probability is 0.25 then the probability of finding:

  • an isotactic triad is Pm2, or 0.0625
  • an heterotactic triad is 2Pm(1–Pm), or 0.375
  • a syndiotactic triad is (1–Pm)2, or 0.5625

with a total probability of 1. Similar relationships with diads exist for tetrads.{{cite journal|title = Configurational Sequence Studies by N.M.R. And the Mechanism of Vinyl Polymerisation|first = F. A.|last = Bovey|authorlink = Frank Alden Bovey|url = http://publications.iupac.org/pac/pdf/1967/pdf/1503x0349.pdf|year = 1967|journal = Pure and Applied Chemistry|pages = 349–368|volume = 15|issue = 3–4|doi = 10.1351/pac196715030349| s2cid=59059402 }}{{rp|357}}

=Tetrads, pentads, etc.=

The definition of tetrads and pentads introduce further sophistication and precision to defining tacticity, especially when information on long-range ordering is desirable.{{fact|date = December 2024}} Tacticity measurements obtained by carbon-13 NMR are typically expressed in terms of the relative abundance of various pentads within the polymer molecule, e.g. mmmm, mrrm.{{says who|date = December 2024}}

=Other conventions for quantifying tacticity=

The primary convention for expressing tacticity is in terms of the relative weight fraction of triad or higher-order components, as described above. An alternative expression for tacticity is the average length of m and r sequences within the polymer molecule. The average m-sequence length may be approximated from the relative abundance of pentads as follows:{{cite journal|doi=10.1016/0032-3861(93)90577-W|title=Microstructural analysis of polypropylenes produced with heterogeneous Ziegler–Natta catalysts|year=1993|last1=Paukkeri|first1=R|last2=Vaananen|first2=T|last3=Lehtinen|first3=A|journal=Polymer|volume=34|pages=2488|issue=12}}

MSL = \frac{mmmm + \tfrac{3}{2} mrrr + 2 rmmr + \tfrac{1}{2} rmrm + \tfrac{1}{2} rmrr}{\tfrac{1}{2} mmmr + rmmr + \tfrac{1}{2}rmrm + \tfrac{1}{2}rmrr}

{{clear}}

Polymers

=Isotactic polymers=

Isotactic polymers are composed of isotactic macromolecules (IUPAC definition).IUPAC [http://www.iupac.org/reports/1996/6812jenkins/molecules.html macromolecular glossary] {{webarchive|url=https://web.archive.org/web/20080211121815/http://www.iupac.org/reports/1996/6812jenkins/molecules.html |date=2008-02-11 }} In isotactic macromolecules, all the substituents are located on the same side of the macromolecular backbone. An isotactic macromolecule consists of 100% {{nobr|m diads}}, though IUPAC also allows the term for macromolecules with at least 95% {{nobr|m diads}} if that looser usage is explained. Polypropylene formed by Ziegler–Natta catalysis is an example of an isotactic polymer.Stevens, P. S. Polymer Chemistry: An Introduction, 3rd ed.; Oxford Press: New York, 1999; pp 234-235 Isotactic polymers are usually semicrystalline and often form a helix configuration.{{fact|date = December 2024}}

:File:Isotactic-A-2D-skeletal.png

:File:Isotactic-polypropylene-3D-balls.png

=Syndiotactic polymers=

In syndiotactic or syntactic macromolecules the substituents have alternate positions along the chain. The macromolecule comprises 100% {{nobr|r diads}}, though IUPAC also allows the term for macromolecules with at least 95% {{nobr|r diads}} if that looser usage is explained. Syndiotactic polystyrene, made by metallocene catalysis polymerization, is crystalline with aa melting point of 161 °C. Gutta percha is also an example syndiotactic polymer.Brandrup, Immergut, Grulke (Editors), Polymer Handbook 4th edition, Wiley-Interscience, New York, 1999. VI/11

:File:Syndiotactic-2D-skeletal.png

:File:Syndiotactic-polypropylene-3D-balls.png

=Atactic polymers=

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In atactic macromolecules the substituents are placed randomly along the chain. The percentage of {{nobr|m diads}} is understood to be between 45 and 55% unless otherwise specified, but it could be any value other than 0 or 100% if that usage is clarified. With the aid of spectroscopic techniques such as NMR, it is possible to pinpoint the composition of a polymer in terms of the percentages for each triad.{{cite thesis|last=Noble|first=Benjamin Brock|date=August 2016|title=Towards Stereocontrol in Radical Polymerization|publisher=Australian National University|doi=10.25911/5d723e5a7c412 |s2cid=98943399 |url=https://pdfs.semanticscholar.org/43d8/f20be925bf52e1fa209888b7de793149a4e8.pdf|access-date=2019-07-13|archive-url=https://web.archive.org/web/20190714011621/https://pdfs.semanticscholar.org/43d8/f20be925bf52e1fa209888b7de793149a4e8.pdf|archive-date=2019-07-14|url-status=dead}}{{better source|date = December 2024}}

:File:Atactic-2D-skeletal.png

Polymers that are formed by free-radical mechanisms, such as polyvinyl chloride are usually atactic.{{fact|date = December 2024}} Due to their random nature atactic polymers are usually amorphous.{{fact|date = December 2024}} In hemi-isotactic macromolecules every other repeat unit has a random substituent.{{fact|date = December 2024}}

Atactic polymers such as polystyrene (PS) are technologically very important.{{fact|date = December 2024}} It is possible to obtain syndiotactic polystyrene using a Kaminsky catalyst,{{cite journal|doi=10.1021/ma00206a010 |title=Syndiotactic polymerization of styrene with supported Kaminsky-Sinn catalysts |date=1990 |last1=Soga |first1=Kazuo |last2=Nakatani |first2=Hisayuki |journal=Macromolecules |volume=23 |issue=4 |pages=957–959 |bibcode=1990MaMol..23..957S }} but most industrial polystyrene produced is atactic.{{fact|date = December 2024}} The two materials have very different properties because the irregular structure of the atactic version makes it impossible for the polymer chains to stack in a regular fashion: whereas syndiotactic PS is a semicrystalline material, the more common atactic version cannot crystallize and forms a glass instead.{{fact|date = December 2024}} This example is quite general in that many polymers of economic importance are atactic glass formers.{{fact|date = December 2024}}

=Eutactic polymers=

In eutactic macromolecules, substituents may occupy any specific (but potentially complex) sequence of positions along the chain.{{fact|date = December 2024}} Isotactic and syndiotactic polymers are instances of the more general class of eutactic polymers, which also includes heterogeneous macromolecules in which the sequence consists of substituents of different kinds (for example, the side-chains in proteins and the bases in nucleic acids).{{fact|date = December 2024}}

Head/tail configuration

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In vinyl polymers, the complete configuration can be further described by defining polymer head/tail configuration. In a regular macromolecule, monomer units are normally linked in a head to tail configuration such that β-substituents are located on alternating carbon atoms. However, it is possible for defects to form where substituents are placed on adjacent carbon atoms, producing a head/head tail/tail configuration, such as by recombination of two growing radical chains, or by direct head-head addition if steric effects are weak enough, such as in polyvinylidene fluoride.{{cite journal|doi=10.1016/S0079-6700(99)00032-5 |title=Head to head polymers |date=1999 |last1=Vogl |first1=O. |last2=Qin |first2=M.F. |last3=Zilkha |first3=A. |journal=Progress in Polymer Science |volume=24 |issue=10 |pages=1481–1525 |doi-access=free }}

Techniques for measuring tacticity

Tacticity may be measured directly using proton or carbon-13 NMR. This technique enables quantification of the tacticity distribution by comparison of peak areas or integral ranges corresponding to known diads (r, m), triads (mm, rm+mr, rr) and/or higher order n-ads, depending on spectral resolution. In cases of limited resolution, stochastic methods such as Bernoullian or Markovian analysis may also be used to fit the distribution and predict higher n-ads and calculate the isotacticity of the polymer to the desired level.{{cite journal|doi=10.1021/ma60057a006|title=Carbon-13 NMR Determination of Pentad Tacticity of Poly(vinyl alcohol)|year=1977|last1=Wu|first1=Ting Kai|last2=Sheer|first2=M. Lana|journal=Macromolecules|volume=10|pages=529|issue=3|bibcode = 1977MaMol..10..529W }}

Other techniques sensitive to tacticity include x-ray powder diffraction, secondary ion mass spectrometry (SIMS),{{cite journal|doi=10.1002/(SICI)1096-9918(199701)25:1<41::AID-SIA211>3.0.CO;2-T|title=Influence of Tacticity on Polymer Surfaces Studiedby ToF-SIMS|year=1997|last1=Vanden Eynde|first1=X.|last2=Weng|first2=L. T.|last3=Bertrand|first3=P.|journal=Surface and Interface Analysis|volume=25|pages=41–45}} vibrational spectroscopy (FTIR){{cite journal|doi=10.1021/ma00207a013|title=Normal-mode analysis of infrared and Raman spectra of crystalline isotactic poly(methyl methacrylate)|year=1990|last1=Dybal|first1=J.|last2=Krimm|first2=S.|journal=Macromolecules|volume=23|pages=1301|issue=5|bibcode = 1990MaMol..23.1301D }} and especially two-dimensional techniques.{{cite journal|doi=10.1021/ma00149a011|title=Observation of the stereochemical configuration of poly(methyl methacrylate) by proton two-dimensional J-correlated and NOE-correlated NMR spectroscopy|year=1985|last1=Schilling|first1=Frederic C.|last2=Bovey|first2=Frank A.|last3=Bruch|first3=Martha D.|last4=Kozlowski|first4=Sharon A.|journal=Macromolecules|volume=18|pages=1418|issue=7|bibcode = 1985MaMol..18.1418S }} Tacticity may also be inferred by measuring another physical property, such as melting temperature, when the relationship between tacticity and that property is well-established.{{cite journal|doi=10.1021/ma8014992|title=Pressure Dependence of the Glass Transition in Atactic and Isotactic Polypropylene|year=2008|last1=Gitsas|first1=A.|last2=Floudas|first2=G.|journal=Macromolecules|volume=41|pages=9423|issue=23|bibcode = 2008MaMol..41.9423G }}

References

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Further reading

  • {{cite web | author = Wandrey, Christine [Prof.] | date = 2004-04-19 | title = Molecular Basis of the Structure and Behavior of Polymers, Part II: Chemistry and Structure of Macromolecules—Design of Polymer Chains | type = polymer chemistry course materils | work = EPFL.ch | location = Lausanne, Switzerland | publisher = Laboratory of Polymers and Biomaterials, Dept. of Chemistry, Ecole Polytechnique Federale de Lausanne (EPFL) | url = http://scgc.epfl.ch:80/load/cours_chim/cwandrey_part-2-1.pdf | url-status = dead | archive-url = https://web.archive.org/web/20040419014355/http://scgc.epfl.ch:80/load/cours_chim/cwandrey_part-2-1.pdf | archive-date = 2004-04-19}}