Addresses on Modern Physics Jiunn-Ren Roan 21 Dec. 2007
Slide 2Soft Matter What Is Soft Matter? Polymers Fundamental Definitions Common Polymers Configuration and Conformation The Ideal Chain Non-perfect Chains Block Copolymers Colloids Fundamental Definitions Particle Size and Size Distribution Forces between Colloidal Particles
Slide 3Soft Matter References
Slide 4What Is Soft Matter? Delicate matter , as indicated by Pierre-Gilles de Gennes , the victor of the Nobel Prize in material science in 1991, incorporates polymers, colloids, surfactants (amphiphiles), and fluid precious stones. These materials are "delicate" in light of the fact that their mechanical reactions are regularly, however not generally, middle of the road amongst solids and fluids. The expression "delicate matter" is synonymous with "delicate dense matter" or "complex liquids". The building pieces of most delicate matter are natural atoms, so for quite a while physicists demonstrated little enthusiasm for delicate matter. Most studies were completed by scientific experts, concoction engineers, materials researchers, or even sustenance researchers. De Gennes changed from "hard" matter to delicate matter in mid 1960s. It takes, in any case, around 30 more years before physicists' enthusiasm for delicate matter started to surge. In view of delicate matter's interdisciplinary nature, it will be extremely useful to know somewhat more about pertinent science, particularly atomic structure and physical science.
Slide 5Polymers Fundamental Definitions A polymer atom or a macromolecule , as indicated by the IUPAC (International Union of Pure and Applied Chemistry) definition , is A particle of high relative sub-atomic mass, the structure of which basically involves the various redundancy of units inferred, really or theoretically, from particles of low relative sub-atomic mass. Identified with this definition is the IUPAC meaning of the oligomer atom : A particle of middle of the road relative sub-atomic mass, the structure of which basically involves a little majority of units determined, really or theoretically, from atoms of lower relative sub-atomic mass. In this manner, whether a multi-unit atom is an oligomer or a polymer relies on upon its sub-atomic mass – it is viewed as having a transitional relative sub-atomic mass on the off chance that it has properties which do fluctuate altogether with the evacuation of one or a couple of the units. A polymer can be combined from monomer particles . Polymerization is the way toward changing over monomer particles into a polymer. The quantity of monomeric units in a polymer is known as the level of polymerization .
Slide 6Polymerization From U. W. Gedde, Polymer Physics, Chapman & Hall, London (1995). Monomer Polymer Homopolymer + Copolymer Polymers A homopolymer is a polymer got from one types of monomer. A copolymer is gotten from more than one types of monomer. Copolymers can be further grouped by number of monomer species utilized as a part of copolymerization: bipolymers are copolymerized from two monomer species, terpolymers from three monomer species, quaterpolymers from four monomer species, and so forth. An extraordinary sort of copolymer is the piece copolymer . Particularly critical are diblock and triblock copolymers, since they have discovered numerous applications.
Slide 7polyA-square - polyB polyA-unite - polyB poly(A-alt - B) poly(A-detail - B) From U. W. Gedde, Polymer Physics, Chapman & Hall, London (1995). Polymers A copolymer of unspecified sort is named as poly(A-co - B). Others are named as takes after: Note that an exchanging copolymer poly(A-alt - B) might be considered as a homopolymer polyAB got from a speculative monomer AB. In a measurable copolymer the successive appropriation of the monomeric units obeys known factual laws. A unique instance of factual copolymer is the arbitrary copolymer , named poly(A-ran - B), in which the likelihood of finding a given monomeric unit at any given site in the chain is autonomous of the way of the nearby units.
Slide 8Polymers Common Polymers I. W. Hamley, Introduction to Soft Matter (Wiley, 2000).
Slide 9Polymers I. W. Hamley, Introduction to Soft Matter (Wiley, 2000).
Slide 10Polymers To see how polymers are named, a couple of more IUPAC definitions are required. An established unit is an iota or gathering of particles including a part of the key structure of a polymer. A monomeric unit (or monomer unit ) is the biggest sacred unit contributed by a solitary monomer particle to the structure of a polymer. An established rehashing unit is the littlest protected unit the reiteration of which constitutes a polymer. Take poly(ethylene) for instance. Its protected rehashing unit is – CH 2 – , while its sacred unit can be any of the accompanying gatherings: – CH 2 – , – CH 2 CH 2 – , – CH 2 CH 2 CH 2 – , and so on. Since poly(ethylene) is typically incorporated from ethylene, H 2 C = CH 2 , the monomeric unit of poly(ethylene) is – CH 2 CH 2 – . Polymers can be named as poly( sacred rehashing unit ) or poly( monomer unit ). The previous is called structure-based and the last source-based . The structure-based names are rarely utilized as a part of practice. At long last, take note of that a polymer can have more than one established rehashing unit and, in this manner, more than one conceivable auxiliary based name. For instance, the established rehashing unit for poly(butadiene) can be either – CH = CHCH 2 CH 2 – or – CH 2 CH = CHCH 2 – . Ambiguities, for example, this have been determined in IUPAC's Compendium of Macromolecular Nomenclature .
Slide 11From U. W. Gedde, Polymer Physics, Chapman & Hall, London (1995). Polymers Configuration and Conformation The "changeless" stereostructure of a polymer is called its design . The setup of a polymer is perpetual as in it is characterized when the polymer is integrated and is protected until the polymer responds artificially. A polymer's setup is subsequently characterized by its sub-atomic engineering. Major atomic engineering sorts are direct, expanded, stepping stool, star, and system:
Slide 12From R. T. Morrison and R. N. Boyd, Organic Chemistry , fourth ed., Allyn & Bacon, Boston (1983). chiral carbons From R. T. Morrison and R. N. Boyd, Organic Chemistry , fourth ed., Allyn & Bacon, Boston (1983). Polymers However, sub-atomic design alone does not totally characterize a polymer's setup. A polymer's design is additionally controlled by the way iotas are orchestrated about twofold securities (assuming any) and chiral focuses. It is notable that about a twofold bond two courses of action, cis - and trans - , are conceivable: Thus, about every twofold bond, there will be two unmistakable designs. A chiral focus is a carbon iota to which four unique gatherings are connected. The four gatherings have two unique introductions in space and they result in isomers (called stereoisomers) that are reflect pictures of each other, yet are not superimposable on each other:
Slide 13From G. Strobl, The Physics of Polymers , second ed., Springer-Verlag, Berlin (1996). From R. T. Morrison and R. N. Boyd, Organic Chemistry , fourth ed., Allyn & Bacon, Boston (1983). From R. T. Morrison and R. N. Boyd, Organic Chemistry , fourth ed., Allyn & Bacon, Boston (1983). From R. T. Morrison and R. N. Boyd, Organic Chemistry , fourth ed., Allyn & Bacon, Boston (1983). Polymers Thus, a poly(ethylene) particle has stand out arrangement, though a poly(propylene) atom has isotatic setup, syndiotactic design, and atactic setup.
Slide 14From R. T. Morrison and R. N. Boyd, Organic Chemistry , fourth ed., Allyn & Bacon, Boston (1983). Polymers While design characterizes the "lasting" stereostructure of a polymer, compliance alludes to the "transient" stereostructures created by turns about single bonds. These stereostructures are transient as in interconversions among the rotational minima are quickly executed on the grounds that the hindrance statures of bond rotational possibilities are typically just a couple RT , very surmountable at room temperature.
Slide 15P. J. Flory, Statistical Mechanics of Chain Molecules , John Wiley, New York (1969). From M. Doi, Introduction to Polymer Physics , Oxford University Press, New York (1996). Polymers Because of these fast interconversions, polymers are exceptionally adaptable and can be viewed as a long, adaptable bit of string:
Slide 16From M. Doi, Introduction to Polymer Physics , Oxford University Press, New York (1996). From H. Yamakawa, Modern Theory of Polymer Solutions , Harper & Row, New York (1971). Polymers The Ideal Chain The most straightforward model for an adaptable polymer is the arbitrary walk show . Since the model permits the polymer anchor to cross itself, it characterizes is a doubtful polymer, i.e. a perfect chain . Consider an arbitrary stroll on a square cross section. Give b a chance to be the progression measure (bond length), N the quantity of steps, and r n the uprooting vector of the n th step (bond vector). On a square cross section, r n can be b 1 , b 2 , b 3 , or b 4 with equal likelihood. Since the walk is irregular, different steps are not corresponded. Subsequently, A helpful approach to characterize the extent of a polymer molecule is the end-to-end vector :
Slide 17b 5 b 2 b 3 b 4 b 1 b 6 I. Teraoka, Polymer Solutions , John Wiley & Sons, New York (2002). Polymers Because R and – R happen with equivalent likelihood and offset each other, giving the end-to-end vector itself is not a decent measure of the polymer estimate. Then again, R 2 is invulnerable to this issue, so it has turned into a standard measure of the polymer estimate. For the irregular walk considered here, and size of the polymer is given by the end-to-end remove R F (the subscript F remains for Paul J. Flory , a scientific expert who spearheaded p
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