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Online C#.NET Source Code for fast Converting PDF pages to Word (.doc/ .docx) Document with .NET XDoc.PDF Library on C# class, ASP.NET web forms ...

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low-molecular-weight copolymers and for ideal copolymerizations compared to alternating copolymerizations, it is relatively narrow in all practical cases. Thus it is calculated that for an ideal copolymer containing an average of 50 mol% of each component, only 12% of the copolymer molecules contain less than 43% of either monomer for X n 100, while only 12% contain less than 49% of either monomer at X n 10; 000. These theoretical conclusions of Stockmayer have been experimentally veri ed in a limited manner [Phillips and Carrick, 1962a,b]. 6-2h Multicomponent Copolymerization

(6.44)



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You can change the order of pictures using these buttons. To remove a picture, you can click it in the Pictures in the album list and then click Remove. You can use the tool buttons to change the picture orientation, contrast and brightness levels.





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More from SautinSoft Team
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Terpolymerization, the simultaneous polymerization of three monomers, has become increasingly important from the commercial viewpoint. The improvements that are obtained by copolymerizing styrene with acrylonitrile or butadiene have been mentioned previously. The radical terpolymerization of styrene with acrylonitrile and butadiene increases even further the degree of variation in properties that can be built into the nal product. Many other commercial uses of terpolymerization exist. In most of these the terpolymer has two of the monomers present in major amounts to obtain the gross properties desired, with the third monomer in a minor amount for modi cation of a special property. Thus the ethylene propylene elastomers are terpolymerized with minor amounts of a diene in order to allow the product to be subsquently crosslinked. The quantitative treatment of terpolymerization is quite complex, since nine propagation reactions

+ q2 {[r . I (k)J2 + [r . 2(k)J} ).

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PDF to MS Word DOC or DOCX Conversion in .NET Applications ...
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Reaction M1 M1 M1 M2 M2 M2 M3 M3 M3 + + + + + + + + + M1 M2 M3 M1 M2 M3 M1 M2 M3 M1 M2 M3 M1 M2 M3 M1 M2 M3 Rate R11 = k11[M1 R12 = k12[M1 R13 = k13[M1 R21 = k21[M2 R22 = k22[M2 R23 = k23[M2 R31 = k31[M3 R32 = k32[M3 R33 = k33[M3 ][M1] ][M2] ][M3] ][M1] ][M2] ][M3] ][M1] ][M2] ][M3]

We notice that II in the new representation is no longer associated with the electric field but to the displacement field in this representation:

6-41

= T (=

r12 k11 ; k12 r13 k11 ; k13 r21 k22 ; k21 r23 k22 ; k23 r31 k33 ; k31 r32 k33 k32 6-42

(6.45)

are involved (as well as six termination reactions). The expression for the rate R of each of the propagation reactons is shown above. An expression for the terpolymer composition can be obtained by either the steady-state or statistical approach used for copolymerization (Sec. 6-2). The steady-state approach is described here [Alfrey and Gold nger, 1944; Ham, 1964, 1966; Mirabella, 1977]. The rates of disappearance of the three monomers are given by

d M1 R11 R21 R31 dt d M2 R12 R22 R32 dt d M3 R13 R23 R33 dt 6-43a 6-43b 6-43c

-II(k).

Combination of Eqs. 6-43 with 6-44, and the use of the appropriate rate expressions from Eq. 6-41 for each R term, yield the terpolymer composition as

+ VCoul + H trans -

Note: The first slide in the show is a title slide, containing the title Photo Album and your user name.

d M1 : d M2 : d M3 ' M2 M3 : r12 r13 & '& ' M1 M2 M3 M1 M3 M2 M2 : r12 r31 r12 r32 r32 r13 r21 r23 & '& ' M1 M2 M3 M1 M2 M3 M3 r13 r21 r23 r12 r13 r23 r31 r32 M1 M2 M3 r31 r21 r21 r32 r31 r23 M1 & '&

(6.46)

M1

where d is the atomic dipole -qr,

6-45

(6.47)

A simpler expression for the terpolymer composition has been obtained by expressing the steady state with the relationships

and cdip is the dipole self-energy,

instead of those in Eq. 6-44 [Valvassori and Sartori, 1967]. The combination of Eqs. 6-46 and 6-43 yields the terpolymer composition as

(6.48)

& ' M2 M3 d M1 : d M2 : d M3 M1 M1 : r12 r13 & ' r21 M1 M3 M2 : M2 r23 r12 r21 & ' r31 M1 M2 M3 M3 r32 r13 r31

6-47

The self-energy apparently diverges, but in fact, we must restrict the integral in (6.48) to long wavelengths compared to an angstrom in order to be consistent with the dipole approximation. This term leads to another sort of mass renormalization. Because we are not interested in discussing renormalization, we simply ignore (6.48).

Select the Captions Below All Pictures check box in the Photo Album dialog box to add captions. Alternatively, add a text slide after each photo slide by clicking the New Text Box button.Type your captions after closing the Photo Album dialog box.

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How to convert PDF to DOCX via NuGet - Step by Step in C# for ...
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PDF TO WORD File - C# Corner
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