Application of NMR spectroscopy in molecular weight determination of polymers

Determination of molecular weights of polymers by ¹H-NMR spectroscopy is discussed. A brief survey of application of NMR; both ¹H and ¹⁴C, in the analysis of monomer sequence, copolymer composition, polymer microstructure, end-group and relaxation phenomenon is also made. NMR offers an elegant and simple yet fairly accurate method for determination of molecular weights of polymers.     

Flocculation by very high molecular weight polymers

Polymer-induced flocculation in which the size of polymer molecules is much greater than that of colloidal particles is investigated. A dynamic analysis is conducted which takes the transient behaviors of the adsorption of particles to a polymer molecule and the particle-particle interactions into account. We show that the number of particles adsorbed to a polymer molecule follows approximately a binomial distribution. An approximate expression for the degree of flocculation of the system under consideration is presented.     

Number-average molecular mass determination of polymeric material by pyrolysis-gas chromatography

The number-average molecular mass of a polymeric material has been determined by pyrolysis-gas chromatography (Py-GC) via end-group analysis. The major advantage of this technique is that no sample preparation is required. The sample is not required to be in the dilute solution form, and the amount of sample needed is approximately 0.5 mg. Phenyl group-terminated polybutadiene systems have been studied as an example. The application of Py-GC to obtain the end-group concentration, the number-average molecular mass and the limitations of this method are discussed in detail. The success of this development elevates the role of Py-GC as an important technique for end-group analysis for the determination of number-average molecular mass.     

Syntheses and antitumor activities of monomer and medium molecular weight polymers. III. 3,6-endo-methylene-1,2,3,6-tetrahydrophthalimidopropanoyl-5-fluorouracil and its polymers

The new monomer, 3,6-endo-methylene-1,2,3,6-tetrahydrophthalimidopropanoyl-5-fluorouracil (ETPFU), was synthesized by the reaction of 5-fluorouracil (5-FU) and 3,6-endo-methylene-1,2,3,6-tetrahydrophthalimidopropanoyl chloride (ETPC). The homopolymer of ETPFU and its copolymers with acrylic acid (AA) and vinyl acetate (VAc) were prepared by photopolymerizations. The synthesized ETPFU and polymers were identified by Fourier transfer infrared (FTIR), ¹H nuclear magnetic resonance (NMR), and ¹³C-NMR spectroscopies. The contents of ETPFU units in poly(ETPFU-co-AA) and poly(ETPFU-co-VAc) were 26 and 32 mol %, respectively. The number average molecular weights of the synthesized polymers determined by gel permeation chromatography (GPC) were in range from 8,800 to 10,700. The in vitro cytotoxicities of the samples were evaluated with mouse mammary carcinoma (FM3A), mouse leukemia (P388), and human histiocytic lymphoma (U937) as a cancer cell line and mouse liver cells (AC2F) as a normal cell line. The in vivo antitumor activities of polymers against Balb/c mice bearing the sarcoma 180 tumor cells were greater than those of 5-FU at all doses tested. © 1999 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 37: 2113–2120, 1999     

Molecular weights and molecular weight distribution of polymers by equilibrium ultracentrifugation. Part II. Molecular weight distribution

A method has been developed for determining the molecular weight distribution of a polymer sample from the sedimentation–diffusion equilibrium data for a solution under pseudo-ideal conditions. From some theoretical examples it appears that the method works well and that the molecular weight distribution can be determined with a reasonable degree of resolution. From three polymer samples (polyethylene, polystyrene, and polycaprolactam) the molecular weight distribution was determined in this way. The average molecular weights, M?_n, M?_w, M?_z, and M _z+1, calculated from these distribution functions agree well with those calculated directly from the equilibrium data.     

Molecular weights and molecular weight distribution of polymers by equilibrium ultracentrifugation. Part I. Average molecular weights

From the sedimentation-diffusion equilibria of some polymer solutions the average molecular weights M?_n, M?_w, M?_z, and M?_z+1 have been determined in different ways. In particular, the applicability of Fujita's method, which utilizes concentration gradient values at the midpoint of the solution column at a number of rotor speeds, was examined. It appears that if the gradients at some other places in the column are also used, a smaller range of rotor speeds suffices. This method is generally applicable for determining the average molecular weights specified above.     

Oriented polymers from solution. III. NMR of polyethylene/polypropylene blends

T₁, T₂, and T_1ρ measurements are reported for a blended fiber of polyethylene and polypropylene prepared by the “surface growth” technique. The data support the view that the fiber contains mixed crystalline regions of each pure component that may weakly interact via spin diffusion. A tentative model is proposed for the blended fiber.     

Precise molecular weight distributions of high polymers by semiautomatic solvent extraction

It has been found practical to fractionate relatively monodisperse polystyrenes of molecular weights up to 4 × 10⁶ by using a semiautomatic solvent extraction procedure. The fractionators consist of flow-through mixing chambers provided with settling regions for the removal of finely suspended solid material. Provision is made for accurate control of both temperature and solvent–nonsolvent ratio. Two such apparatus, operated in tandem, were used in the present work; in principle, several more stages could be employed if desired for most polymer systems. Results on polystyrenes prepared in well defined ways appear to be in good agreement with predicted distributions. Applicability to other polymer systems is discussed.     

High molecular weight aromatic polymers by nickel coupling of aryl polychlorides

This paper describes a totally new method for the formation of high molecular weight aromatic polymers. High molecular weight polyarylethersulfones are produced by nickel catalyzed coupling of aryl dichloride monomers. Metallic zinc is used to drive the polymerization reaction which takes place under relatively mild conditions in the presence of triphenylphosphine and a dipolar aprotic solvent. The versatility of the reaction is demonstrated, as well as the ability to provide a variety of high temperature polymers from readily available and inexpensive monomers. It is possible to use an integrated two-step process to produce aryl dichlorides from inexpensive aryl chlorides, and then to couple these directly to polymer without need for isolation and purification. This process resulted from a fundamental understanding of the chemistry and the use of statistically designed experiments to identify the important reaction parameters and to optimize the degree of polymerization.     

Synthesis of disulfide polymers of low molecular weight by repeated depolymerization

By double or triple depolymerization with sodium hydrogen sulfide in the presence of sodium sulfite, polysulfide polymers of a very low molecular weight can be obtained from disulfide polymers prepared from bis-2-chloroethyl formal. The products are mixtures consisting chiefly of dimers and trimers with monomers. The effect of depolymerization will be greater when three depolymerization processes, instead of two, are completed with the same total amount of NaHS and Na₂SO₃. When depolymerization is repeated, the degree of depolymerization will be higher with polymers of a higher molecular weight. If depolymerization is made with sodium dithionite, the same effect will be achieved by either single or double depolymerization, provided that the same total amount of dithionite has been used.     

Rapid molecular weight analysis of polymers by temperature gradient interaction chromatography

Temperature gradient interaction chromatography (TGIC) has been established as a high-resolution technique for the characterization of synthetic polymers. So far, most of the TGIC investigations focused on the high-resolution analysis and little effort has been made on the reduction of the analysis time. In this study, we examined the effect of the column heating rate, the eluent flow rate, and the column length on the TGIC analysis time. We found that the heating rate is the most important experimental parameter to control the TGIC retention time. With a C18 silica column (50 mm x 4.6mm I.D.), a set of PS standards of wide molecular weight range (5 - 648 kg/mol) could be separated within 4 min at a heating rate of 8 degrees C/min.     

NMR molecular dynamic study of high crystalline polymers

Analysis of the dynamic behaviour of two highly crystalline polymers, polyethylene (HDPE) and polypropylene (iPP) was carried out by solution and solid state nuclear magnetic resonance (NMR) to obtain the response of the behaviour of both polymers with respect to the molecular chain dynamics, the chain ordination and the molecular packing. The proton spin-lattice relaxation time in the rotating frame (T₁^Hρ) showed that HDPE is more rigid than iPP, because the chain orientation and the molecular packing are different. T₁^Hρ parameter also depends on the molecular chain dynamics, as a result of the different sequence distribution in the domains     

Treatment of high molecular weight wormlike polymers as random coiled polymers

The possibility of treating a wormlike polymer as a random coiled polymer is examined. Taking from the literature intrinsic viscosity data concerning several wormlike polymers, we use two graphical methods which have been proposed for flexible polymers. These methods are only applicable in the region of molecular weights where the wormlike polymer presents a relatively great number of statistical segments. From the values of unperturbed dimensions obtained by the graphical methods, we obtain the statistical segment of wormlike polymers at Θ conditions.     

Biocatalytic synthesis of polymers. III. Formation of a high molecular weight polyester through limitation of hydrolysis by enzyme-bound water and through equilibrium control

Enzyme-catalyzed preparation of polymers offers several potentially valuable advantages over the usual polymerization procedures and has been studied for several years. A significant limitation on the polyesters prepared to date has been the low molecular weights achieved. The present studies have established that, in the polycondensation of bis(2,2,2-trifluoroethyl) glutarate with 1,4-butanediol using porcine pancreatic lipase as the catalyst, this limitation arises from at least two sources: hydrolysis of activated ester end groups by water introduced along with the enzyme and the polymerization's reaching equilibrium despite using the poorly nucleophilic 2,2,2-trifluoroethanol as the leaving group. Evidence is also developed that the presence of trifluoroethanol accelerates the release of the enzyme-bound water which hydrolyzes the activated ester end groups. The hydrolysis could be avoided by choosing a relatively high-boiling solvent, such as bis(2-ethoxyethyl) ether, then removing the trifluoroethanol by placing the reaction mixture under vacuum periodically or by drying the enzyme rigorously. The vacuum method also removed the limitation on molecular weight resulting from the reaction's reaching equilibrium. A further improvement in the molecular weight to nearly 40,000 daltons, well within the range that is technically interesting, was achieved by using 1,2-dimethoxybenzene or 1,3-dimethoxybenzene as the polymerization solvent. © 1995 John Wiley & Sons, Inc.     

Postpolymerization effect on molecular weight distribution generated by pulsed laser radical polymerization

The postpolymerization effect on molecular weight distribution (MWDs) and on the Pulsed Laser Polymerization (PLP) technique for evaluation of kinetic constants is investigated. General expressions for moments are derived for a polymerization scheme that contains the reactions of chain initiation, propagation, and termination by recombination or disproportionation, under polymerization initiation by an arbitrary sequence of radiation pulses. The results of calculation of MWDs and of the weight-average degree of polymerization (P _w) for methyl methacrylate are presented. It is shown that the P _w value strongly depends on postpolymerization. A new method for determining the rate constants of chain propagation and chain termination from a single experiment by polymerization with packets of laser pulses is presented.     

Intrinsic viscosity of polymers of low molecular weight

Experimental evidence concerning the dependence of the intrinsic viscosity [η] on molecular weight M in the low molecular weight range (from oligomers to M = 5 × 10⁴) has been collected in a variety of solvents for about ten polymers, i.e., polyethylene, poly(ethylene oxide), poly(propylene oxide), polydimethylsiloxane, polyisobutylene, poly(vinylacetate), poly(methyl methacrylate), polystyrene, poly-α-methylstyrene, and some cellulose derivatives. In theta solvents, the constancy of the ratio [η]Θ/M^0.5 extends down to values of M much lower than those predicted by current hydrodynamic theories. In good solvents, and on decreasing M, the polymers examined, with the exception of polyethylene and some cellulose derivatives, show a decrease in the exponent a of the Mark-Houwink equation [η] = KM^a. This upward curvature gives rise to the existence of a more or less extended linear region where the equation [η] = K₀M^0.5 is obeyed. Below the linear range, i.e., for even shorter chains, the exponent a can increase, i.e., polydimethylsiloxane, or decrease below 0.5, i.e., poly(ethylene oxide), depending on the particular chain properties. These different dependences have been discussed in terms of: (a) variations of thermodynamic interactions with molecular weight; (b) variations of conformational characteristics (as for instance the ratio) 〈r0²/nl²〉, where 〈r0²〉 is the unperturbed mean square end-to-end distance and n is the number of bonds each of length l; (c) hydrodynamic properties of short chains.