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Polyethylene produced by traditional Ziegler Natta and Phillips-type initiators differs structurally from that obtained by radical polymerization (Sec. 3-14a) in having a much lower degree of branching (0.5 3 vs. 15 30 methyl groups per 500 monomer units). The two polyethylenes are often referred to as linear and branched polyethylenes, respectively. The lower degree of branching results in higher crystallinity (70 90% vs. 40 60%), higher density (0.94 0.96 vs. 0.91 0.93 g mL 1 ), and higher crystalline melting temperature (133 138 vs. 105 115 C) for linear polyethylene. The polyethylenes produced by coordination and radical polymerizations are also referred to as high-density (HDPE) and low-density (LDPE) polyethylenes, respectively. Compared to LDPE, HDPE has increased tensile strength, stiffness, chemical resistance, and upper use temperature combined with decreased low-temperature impact strength, elongation, permeability, and resistance to stress cracking. About 14 billion pounds of HDPE were produced in the United States in 2001. The two polyethylenes complement each other as about 8 billion pounds of LDPE were also produced. Most HDPEs have number-average molecular weights of 50,000 250,000. These materials are used in a wide range of applications [Beach and Kissin, 1986; Juran, 1989]. The largest market (40%) consists of blow-molded products such as bottles (milk, food, detergent), housewares, toys, and pails. Injection-molded objects similar to those produced by blow molding constitute about 30% of the total market. Extruded products make up most of the remainder of the market for HDPE. This includes lm for producing grocery and merchandise bags and food packaging, sheet for truck bed liners and luggage, pipe, tubing, and wire



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(2.99) (2.lO0) (2.lO1)





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Is the excel format 2007+? You are going to need to look into automation by using Excel interop:

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and cable. Very-low-molecular-weight (several thousand) polyethylenes are used as wax substitutes in paper and spray coatings, crayons, and polishes. Various specialty HDPEs are produced by polymerization to higher molecular weights. Increased molecular weight results in increased tensile strength, elongation, low-temperature impact resistance, and stress crack resistance, although processing is more expensive because of increased melt viscosity. High-molecular-weight high-density polyethylene (0.25 1.5 million molecular weight) is used for pressure piping in mining, industrial, sewer, gas, oil, and water applications. Other uses include large blow-molded parts such as shipping containers and bulk storage tanks and blown lm for grocery and merchandise bags and can liners, Ultrahigh-molecular-weight high-density polyethylene (>1.5 million molecular weight) has very high abrasion resistance and impact strength, the highest of any thermoplastic material. It can be processed without additives and stabilizers because the longer chains are resistant to mechanical scission, and even when chain scission occurs the molecular weight is suf ciently high to retain mechanical strength. Applications include low-speed bearings, gears for snowmobile drives, impellers for snow blowers, and the sliding surfaces in chutes and hoppers in the mining and freight industries as well as in agricultural and earthmoving machinery.

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Coordination copolymerization of ethylene with small amounts of an a-ole n such as 1-butene, 1-hexene, or 1-octene results in the equivalent of the branched, low-density polyethylene produced by radical polymerization. The polyethylene, referred to as linear lowdensity polyethylene (LLDPE), has controlled amounts of ethyl, n-butyl, and n-hexyl branches, respectively. Copolymerization with propene, 4-methyl-1-pentene, and cycloalkenes is also practiced. There was little effort to commercialize linear low-density polyethylene (LLDPE) until 1978, when gas-phase technology made the economics of the process very competitive with the high-pressure radical polymerization process [James, 1986]. The expansion of this technology was rapid. The utility of the LLDPE process limits the need to build new high-pressure plants. New capacity for LDPE has usually involved new plants for the low-pressure gas-phase process, which allows the production of HDPE and LLDPE as well as polypropene. The production of LLDPE in the United States in 2001 was about 8 billion pounds, the same as the production of LDPE. Overall, HDPE and LLDPE, produced by coordination polymerization, comprise two-thirds of all polyethylenes.

with (2.lO2) So qn,s is the position variable of oscillator n,s, and Pn,s is its canonically conjugate momentum. We can specify T by requiring that the Hamiltonian (2.20) be equal to the energy of the radiation field. Substituting (2.94) in the expression for the field energy (2.103)

Isotactic polypropene (PP) has the lowest density (0.90 0.91 g mL 1 ) of the major plastics and possesses a very high strength : weight ratio. It has a high crystalline melting point of 165 175 C and is usable to 120 C; both temperatures are higher than the corresponding values for HDPE. Sixteen billion pounds of PP were produced in the United States in 2001. About 20% of this production consists of copolymers, mostly copolymers containing 2 5% ethylene, which imparts increased clarity, toughness, and exibility. Injection-molded products account for about 40% of the total polypropene usage [Juran, 1989; Lieberman and Barbe, 1988]. This includes durable goods (housings and parts for small and large appliances, furnitute and of ce equipment, battery cases, automobile interior trim, and airducts) and semirigid packaging (yogurt and margarine containers, caps and closures for medicines).

(2.104) Then choosing T = 1/ V47r guarantees that the Hamiltonian is also the energy. This analogy between the electromagnetic radiation field and a set of uncoupled harmonic oscillators is very much in the spirit of Maxwell's original method of working in theoretical physics [87]. It can simplify enormously the treatment of several problems in classical electrodynamics [90, 233]. But it became really popular as a simple way of quantizing the radiation field because of a review paper by Fermi25 [195]. In this approach, the field can be quantized simply by following the canonical quantization procedure and replacing the Poisson brackets of qn,s and Pn,s by quantum commutators as in (2.16). The quantized oscillators positions fin,s and momenta fin,s then have the following commutators: (2.lO5)

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Excel file to PDF...is there a way? | The ASP.NET Forums
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