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75-MHz C NMR Studies on Polystyrene and Epimerized Isotactic Polystyrenes 1
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H. JAMES HARWOOD, TENG-KO CHEN, and FU-TYAN LIN
Institute of Polymer Science, The University of Akron, Akron, OH 44325 Isotactic polystyrene was epimerized to various extents by reaction with KOtBu i n hexamethylphosphoramide solution at 100°. The C-NMR spectra of the epimerized samples and of polystyrene i n 9:1 trichlorobenzene:nitrobenzene-d solution at 150° were recorded and analyzed using stereosequence distributions that were calculated for the samples by Monte Carlo simulation of the epimerization process. Triad, pentad and heptad assignments were developed for the aromatic C-1 carbon resonance patterns and t r i a d assignments previously proposed for the methine carbon resonances of polystyrene were v e r i fied. Based on the assignments developed, the C-NMR spectrum of polystyrene indicates it to be almost a t a c t i c , P(m)=0.45. 13
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P o l y s t y r e n e was one o f t h e f i r s t p o l y m e r s t o be s t u d i e d b y h i g h r e s o l u t i o n NMR s p e c t r o s c o p y C O , b u t i t s s p e c t r a a r e i n c o m p l e t e l y u n d e r s t o o d e v e n t o d a y . The H-NMR s p e c t r a o f p o l y s t y r e n e a r e p o o r l y d e f i n e d ; t h e methine and ortho aromatic p r o t o n s p e c t r a a r e i n f l u e n c e d s i g n i f i c a n t l y by p e n t a d o r l a r g e r s t e r e o s e q u e n c e e f f e c t s but they c o n t a i n o n l y three o r f o u r b r o a d , b a d l y overlapped r e s o n ances. I n c o n t r a s t , t h e C-NMR s p e c t r a o f p o l y s t y r e n e a r e r i c h i n d e t a i l , b e i n g s e n s i t i v e t o hexad and h e p t a d s t e r e o s e q u e n c e effects. S i n c e t h e r e a r e 20 d i s t i n g u i s h a b l e h e x a d c o m b i n a t i o n s and 36 d i s t i n g u i s h a b l e h e p t a d c o m b i n a t i o n s , i t h a s been e x t r e m e l y d i f f i c u l t t o a s s i g n t h e v a r i o u s r e s o n a n c e s o b s e r v e d i n t h e C-NMR spectrum o f p o l y s t y r e n e . The d i f f i c u l t y h a s b e e n compounded b y the f a c t t h a t f r e e r a d i c a l i n i t i a t e d p o l y m e r i z a t i o n s o f s t y r e n e y i e l d p o l y m e r h a v i n g t h e same m i c r o s t r u c t u r e , r e g a r d l e s s o f p o l y m e r i z a t i o n t e m p e r a t u r e . Many i o n i c p o l y m e r i z a t i o n s o f s t y r e n e a l s o y i e l d p o l y m e r s t h a t have t h e same m i c r o s t r u c t u r e a s t h o s e p r e p a r e d 1
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Current address: Department of Chemistry, University of Pittsburgh, Pittsburgh, PA 15261. 0097 6156/84/0247 0197$07.50/0 © 1984 American Chemical Society Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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by f r e e r a d i c a l p o l y m e r i z a t i o n . Thus, i t has not been p o s s i b l e t o p r e p a r e , by d i r e c t p o l y m e r i z a t i o n , a s e r i e s o f p o l y s t y r e n e s a m p l e s h a v i n g m i c r o s t r u c t u r e s t h a t v a r i e d i n some r a t i o n a l way. Studies on t h e s p e c t r a o f s u c h s a m p l e s , i n w h i c h t h e i n t e n s i t i e s o f t h e v a r i o u s s i g n a l s w o u l d v a r y as t h e p o l y m e r s t r u c t u r e c h a n g e d , w o u l d have been v e r y u s e f u l f o r making resonance a s s i g n m e n t s . Cationic and some a n i o n i c p o l y m e r i z a t i o n s o f s t y r e n e h a v e y i e l d e d p o l y m e r s t h a t have s p e c t r a t h a t d i f f e r from the spectrum of f r e e r a d i c a l p o l y m e r i z e d p o l y s t y r e n e ( 2 - _ 3 ) . However, t h e u s e f u l n e s s o f s u c h s a m p l e s was dampened by t h e p o s s i b i l i t y t h a t s i d e r e a c t i o n s accomp a n i e d t h e c a t i o n i c p o l y m e r i z a t i o n s and by t h e p o s s i b i l i t y t h a t m u l t i - s t a t e p r o p a g a t i o n mechanisms w e r e i n v o l v e d i n some o f t h e anionic polymerization reactions. Our r e c e n t u n d e r s t a n d i n g o f t h e NMR s p e c t r a and s t r u c t u r e o f p o l y s t y r e n e i s b a s e d on t h e r e s u l t s o f model compound s t u d i e s ( 4 - 1 1 ) , t h e o r e t i c a l c a l c u l a t i o n s ( 1 2 - 1 4 ) , s t u d i e s on p o l y s t y r e n e d e r i v a t i v e s (15) and a n a l o g u e s ( 1 6 ^ ) , s t u d i e s on t h e NMR s p e c t r a o f e p i m e r i z e d i s o t a c t i c p o l y s t y r e n e s a m p l e s ( 1 7 - 1 9 ) and on r e s u l t s o b t a i n e d u s i n g other approaches(20-22). The m o d e l compound a p p r o a c h , e x e m p l i f i e d by t h e e x c e l l e n t p a p e r c o n t a i n e d i n t h i s v o l u m e ( 1 1 ) , i n v o l v e d i s o l a t i n g p o l y s t y r e n e o l i g o m e r s o f known c o n f i g u r a t i o n and r e c o r d i n g t h e i r NMR s p e c t r a . C h e m i c a l s h i f t a s s i g n m e n t s made f o r t h e o l i g o mers a r e t h e n u s e d i n m a k i n g a s s i g n m e n t s f o r p o l y s t y r e n e . This a p p r o a c h r e q u i r e s t h a t a l a r g e number o f d i f f e r e n t o l i g o m e r s be s e p a r a t e d and s t u d i e d i f a s s i g n m e n t s a r e t o be made a t p e n t a d o r h i g h e r l e v e l s and c a r e must be t a k e n t o d e s i g n t h e o l i g o m e r s so t h a t t h e y a d o p t c o n f o r m a t i o n s s i m i l a r t o t h o s e a d o p t e d by t h e p o l y m e r . T h i s t e d i o u s a p p r o a c h has b e e n v e r y f r u i t f u l and rewarding(11). E p i m e r i z a t i o n of s t e r e o r e g u l a r polymers(17-19,23-33) p r o v i d e s a way t o o b t a i n p o l y m e r s h a v i n g c o n t r o l l e d s e q u e n c e d i s t r i b u t i o n s . The p r o d u c t s o f p o l y m e r e p i m e r i z a t i o n r e a c t i o n s can be u s e f u l f o r e s t a b l i s h i n g NMR a s s i g n m e n t s b e c a u s e t h e i r s t r u c t u r e s can be c a l c u l a t e d by s i m u l a t i n g t h e e p i m e r i z a t i o n p r o c e s s . They c a n t h u s serve as models f o r s t r u c t u r e assignment purposes. A l t h o u g h f r e e r a d i c a l c h e m i s t r y h a s b e e n u s e d f o r some p o l y m e r e p i m e r i z a t i o n experiments(30), s t r o n g bases are g e n e r a l l y used to epimerize p o l ymers. S h e p h e r d ( 3 4 ) , made a m a j o r c o n t r i b u t i o n t o t h e s t u d y o f p o l y s t y r e n e s t r u c t u r e by s h o w i n g t h a t i s o t a c t i c p o l y s t y r e n e c o u l d be e p i m e r i z e d by p o t a s s i u m t - b u t o x i d e i n h e x a m e t h y l p h o s p h o r a m i d e s o l u t i o n at m i l d temperatures. T h i s p r o c e s s c a n be e n v i s i o n e d a s shown by t h e e q u a t i o n s g i v e n on t h e f o l l o w i n g page. These e q u a t i o n s show how a mmmm s e q u e n c e i n p o l y s t y r e n e c a n be c o n v e r t e d i n t o a mrrm s e q u e n c e by a s i m p l e e p i m e r i z a t i o n event. Should the c o n f i g u r a t i o n of the f o u r t h carbon from the l e f t i n t h e l a s t s t r u c t u r e a l s o be a l t e r e d , a rmrm p e n t a d w o u l d result. T h u s , by a s e r i e s o f e p i m e r i z a t i o n s t e p s i t i s p o s s i b l e t o change i s o t a c t i c p o l y s t y r e n e g r a d u a l l y i n t o a p o l y m e r t h a t e x h i b i t s t h e same NMR s p e c t r a a s t h e p o l y s t y r e n e t h a t was p r e p a r e d by f r e e r a d i c a l p o l y m e r i z a t i o n ( 1 7 - 1 9 ) . A Monte C a r l o p r o g r a m h a s
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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Polystyrene and Epimerized Isotactic Polystyrenes H
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b e e n w r i t t e n t o s i m u l a t e t h i s e p i m e r i z a t i o n p r o c e s s and t o c a l c u l a t e the r e l a t i v e concentrations o f stereosequences present i n the p o l y m e r s a f t e r v a r i o u s e x t e n t s o f epimerization(17)· By c o r r e l a t i n g t h e resonance p a t t e r n s o f e p i m e r i z e d p o l y s t y r e n e s t h a t were prepared by Shepherd s procedure w i t h stereosequence d i s t r i b u t i o n s c a l c u l a t e d f o r t h e p o l y m e r s u s i n g t h e Monte C a r l o m e t h o d , a s s i g n ments have b e e n d e v e l o p e d f o r t h e m e t h i n e p r o t o n ( 1 _ 7 ) , m e t h i n e c a r bon (18) , m e t h y l e n e c a r b o n ( 1 8 ) a n d a r o m a t i c C - l c a r b o n r e s o n a n c e s of p o l y s t y r e n e ( 1 9 ) . These a s s i g n m e n t s agree v e r y w e l l w i t h a s s i g n ments d e v e l o p e d i n t h e m o d e l compound s t u d i e s , a n d t h e y l e a d t o the c o n c l u s i o n t h a t p o l y s t y r e n e , a s prepared by f r e e r a d i c a l polym e r i z a t i o n methods, h a s a B e r n o u l l i a n s t e r e o s e q u e n c e d i s t r i b u t i o n w i t h a meso c o n t e n t , P(m) o f a b o u t 0.46. I n o t h e r w o r d s , t h e polymer i s almost a t a c t i c . Our p r e v i o u s r e p o r t s c o n c e r n e d 20 MHz C-NMR s p e c t r a o f p a r t i a l l y epimerized polystyrenes. The a r o m a t i c C - l c a r b o n r e s o n a n c e s w e r e r e c o r d e d a t room t e m p e r a t u r e a n d w e r e p o o r l y d e f i n e d when t h e e x t e n t o f e p i m e r i z a t i o n was h i g h . A need f o r r e m e a s u r i n g these resonances a t higher temperature, using higher f i e l d spectro m e t e r s was c l e a r l y e v i d e n t . This paper i s t h e r e f o r e concerned w i t h t h e 75 MHz C-NMR s p e c r r a o f p a r t i a l l y e p i m e r i z e d i s o t a c t i c polystyrenes. 1
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Experimental Isotactic Polystyrene. I s o t a c t i c p o l y s t y r e n e was p r e p a r e d by h e a t i n g a 1 0 % s o l u t i o n o f s t y r e n e i n b e n z e n e a t 60° f o r 24 h o u r s i n t h e p r e s e n c e o f a c a t a l y s t p r e p a r e d i n t h e p r e s e n c e o f monomer f r o m e q u i m o l a r amounts o f ( h e p t a n e s o l u t i o n ) a n d T1CI3-AA (heptane suspension). The r e a c t i o n m i x t u r e was d i l u t e d w i t h b e n zene a n d p o u r e d i n t o a n e x c e s s o f i s o p r o p a n o l . The r e s u l t i n g p r e c i p i t a t e was d i s s o l v e d i n warm m e t h y l e n e c h l o r i d e . The s o l u t i o n was f i l t e r e d a n d added t o h o t m e t h y l e t h y l k e t o n e . The s o l u t i o n was c o n c e n t r a t e d a n d c o o l e d t o o b t a i n t h e i s o t a c t i c p o l y m e r i n t h e f o r m o f a w h i t e powder t h a t was washed w i t h m e t h y l e t h y l k e t o n e and d r i e d u n d e r vacuum. F i n a l p u r i f i c a t i o n was a c h i e v e d b y r e p r e c i p i t a t i o n o f the polymer from benzene s o l u t i o n i n t o methanol, f o l l o w e d b y d r y i n g a t 60° u n d e r vacuum.
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(C2H5)3AI
E p i m e r i z a t i o n Procedure. P o t a s s i u m t - b u t o x i d e t h a t had been heated u n d e r vacuum a t 130°C f o r t h r e e h o u r s a n d h e x a m e t h y I p h o s p h o r a m i d e t h a t h a d been d r i e d o v e r C a H a t 60° f o r 24 h o u r s a n d t h e n d i s t i l l e d from L i A l H i * under reduced p r e s s u r e were used. S o l u t i o n s cont a i n i n g 10g. i s o t a c t i c p o l y s t y r e n e a n d 56g. (0.5 m o l e ) KOtBu p e r l i t e r o f hexamethyIphosphoramide ( C a u t i o n - suspected carcinogen) w e r e p r e p a r e d u n d e r n i t r o g e n a n d were h e a t e d a t 100°C f o r p e r i o d s t h a t r a n g e d f r o m 1 t o 20 h o u r s . The r e a c t i o n m i x t u r e s w e r e i n i t i a l l y p i n k and u l t i m a t e l y developed a v i o l e t c o l o r t h a t i n t e n s i f i e d w i t h r e a c t i o n time. The r e a c t i o n m i x t u r e s w e r e p o u r e d i n t o m e t h a n o l t o i s o l a t e t h e p o l y m e r s . These w e r e r e p r e c i p i t a t e d f r o m b e n z e n e s o l u t i o n i n t o m e t h a n o l and were d r i e d u n d e r vacuum a t 40°C. The u s e o f t e m p e r a t u r e s h i g h e r t h a n 100°C c a u s e s e x t e n s i v e m o l e c u l a r w e i g h t r e d u c t i o n . The s a m p l e s employed i n t h i s s t u d y a r e t h e same o n e s u s e d i n o u r p r e v i o u s C-NMR s t u d i e s . NMR M e a s u r e m e n t s . In a l l cases, ten percent s o l u t i o n s of the p o l y s t y r e n e s a m p l e s d i s s o l v e d i n a 9:1 1 , 2 , 4 - t r i c h l o r o b e n z e n e m i t r o b e n z e n e - d m i x t u r e were u s e d f o r t h e NMR s t u d i e s . 75 MHz C-NMR """H-decoupled s p e c t r a o f t h e e p i m e r i z e d p o l y s t y r e n e s a m p l e s w e r e r e c o r d e d a t 150-160° u s i n g a B r u k e r WH-300 NMR S p e c t r o m e t e r . A 70° p u l s e w i d t h , a n a c q u i s i t i o n t i m e o f 0.82 s e c o n d s w i t h a 16K d a t a s i z e , a n d a p u l s e d e l a y o f 0.1 s e c o n d w e r e e m p l o y e d . The number o f t r a n s i e n t s c o l l e c t e d v a r i e d f r o m 3000 t o 10,000 a n d t h e d a t a w e r e p r o c e s s e d w i t h a l i n e b r o a d e n i n g o f 0.8-1.0 Hz. A T s t u d y done on t h e a r o m a t i c C - l a n d a l i p h a t i c c a r b o n r e s o n a n c e s o f p o l y s t y r e n e a t 200°C, u s i n g a V a r i a n XL-400 NMR S p e c t r o m e t e r , r e v e a l e d t h a t w i t h i n e x p e r i m e n t a l e r r o r t h e i n d i v i d u a l components o f t h e s e r e s o n a n c e p a t t e r n s h a d t h e same r e l a x a t i o n t i m e ( 3 5 ) . This i n d i c a t e s t h a t t h e c o n d i t i o n s d e s c r i b e d above a r e a p p r o p r i a t e f o r o b t a i n i n g resonance p a t t e r n s t h a t c o u l d be a n a l y z e d q u a n t i t a t i v e l y . R e s o n a n c e a r e a measurements were made b y c u t t i n g a n d w e i g h i n g s p e c t r a t r a c i n g s . S p e c t r a s i m u l a t i o n s w e r e done u s i n g a Calcomp p l o t t e r w i t h t h e a i d o f a p r o g r a m w r i t t e n by D r . B.L. B r u n e r o f the U n i v e r s i t y o f Kentucky, u s i n g stereosequence d i s t r i b u t i o n s c a l c u l a t e d f o r t h e p o l y m e r s b y Monte C a r l o s i m u l a t i o n s o f t h e e p i m e r i 2
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Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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201
z a t i o n p r o c e s s and u s i n g c h e m i c a l s h i f t s o b t a i n e d by methods t o be d e s c r i b e d l a t e r i n t h i s p a p e r . A l i n e shape t h a t was a c o m b i n a t i o n o f L o r e n t i z i a n and G a u s s i a n f u n c t i o n s was assumed f o r e a c h line. T h i s combined f u n c t i o n h a s worked w e l l i n o u r p r e v i o u s s i m u l a t i o n s t u d i e s . A c o n s t a n t l i n e - w i d t h was u s e d f o r a l l l i n e s w i t h i n a g i v e n spectrum. Monte C a r l o S i m u l a t i o n s . The e p i m e r i z a t i o n r e a c t i o n was s i m u l a t e d u s i n g t h e Monte C a r l o p r o g r a m we d e s c r i b e d e a r l i e r ( 1 7 ) . A 5000 e l e m e n t a r r a y was a l l o c a t e d t o s t o r e i n f o r m a t i o n a b o u t t h e c o n f i g u r a t i o n s o f monomer u n i t s a t v a r i o u s p o s i t i o n s i n a 5000 u n i t p o l y mer c h a i n . The p o s i t i o n s w e r e i n d e x e d i n s u c h a way t h a t t h e p o l y m e r c o u l d be c o n s i d e r e d c y c l i c . T h i s was done t o a v o i d e n d group e f f e c t s . The c o n f i g u r a t i o n s ( R o r S) a t i n d i v i d u a l s i t e s w e r e i n d i c a t e d by 0 o r 1 v a l u e s . The p o l y m e r c h a i n was made i s o t a c t i c b y g i v i n g a l l e l e m e n t s o f t h e a r r a y i n i t i a l v a l u e s o f 0. The c h a i n was t h e n " e p i m e r i z e d " b y c o n d u c t i n g a s e r i e s o f " e p i m e r i z a t i o n e v e n t s , " each o f which i n v o l v e d t h e f o l l o w i n g s t e p s ; 1.
A s i t e o n t h e c h a i n was s e l e c t e d t o e x p e r i e n c e a n e p i m e r i z a t i o n e v e n t b y c a l l i n g a random number t h a t r a n g e d f r o m 1 t o 5000. 2. The s t r u c t u r e o f t h e s i t e s e l e c t e d , i n c l u d i n g s t r u c t u r e s o f n e a r e s t n e i g h b o r s was t h e n d e t e r m i n e d . The p o s s i b l e s t r u c t u r e s w e r e 0 0 0 , 0 0 1 , 1 0 1 , 1 1 0 , 011 a n d 1 1 1 . 3. D e p e n d i n g on t h e s t r u c t u r e f o u n d , a p r o b a b i l i t y ( P ) t h a t t h e s i t e s e l e c t e d would have c o n f i g u r a t i o n 1 a t t h e c o m p l e t i o n o f t h e e p i m e r i z a t i o n e v e n t was e s t a b l i s h e d b y u s e o f T a b l e I . The V v a l u e i n t h i s t a b l e (R i n p r e v i o u s p a p e r s ) h a s a range o f 0 - 1 and i s t h e o n l y parameter r e q u i r e d f o r t h e simulation. 4. A s e c o n d random number h a v i n g a r a n g e o f 0 - 1 was t h e n c a l l e d a n d compared t o P. When t h i s number was l e s s t h a n o r e q u a l t o Ρ, t h e a r r a y e l e m e n t r e p r e s e n t i n g t h e s i t e was g i v e n a v a l u e o f 1. O t h e r w i s e i t was g i v e n a v a l u e o f 0. 5. An e p i m e r i z a t i o n e v e n t c o u n t e r was t h e n i n c r e m e n t e d and compared t o a n o u t p u t s c h e d u l e . I f o u t p u t was d e s i r e d a f t e r t h i s e v e n t , t h e c h a i n ( a r r a y ) was analyzed f o r a l l p o s s i b l e dyad, t r i a d , t e t r a d , p e n t a d , hexad and heptad s t e r e o s e q u e n c e s and t h e r e s u l t s were s t o r e d . E p i m e r i z a t i o n e v e n t s were r e p e a t e d u n t i l t h e c h a i n r e a c h e d equilibrium. The c a l c u l a t i o n was r e p e a t e d t e n t i m e s a n d t h e s t e r e o s e q u e n c e c o n c e n t r a t i o n s e v a l u a t e d a f t e r s p e c i f i e d numbers o f e p i m e r i z a t i o n e v e n t s w e r e t h e n a v e r a g e d , p r i n t e d a n d punched f o r use i n s p e c t r a s i m u l a t i o n s . I n r e l a t i n g Monte C a r l o and e x p e r i m e n t a l r e s u l t s , t h e v a l u e o f t h e e p i m e r i z a t i o n event counter can be used a s a q u a n t i t y t h a t i s
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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NMR
T a b l e 1:
P r o b a b i l i t i e s That t h e S e l e c t e d S i t e Has C o n f i g u r a t i o n 1 a t The End o f a n E p i m e r i z a t i o n E v e n t S t r u c t u r e Found 000 o r 100 101 111 o r 011 010
001
110
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AND MACROMOLECULES
P r o b a b i l i t y (P) V 0.5 1-V 1-V 0.5 V
p r o p o r t i o n a l t o time i n a c t u a l e p i m e r i z a t i o n experiments. In the p r e s e n t s t u d y , h o w e v e r , Monte C a r l o r e s u l t s w e r e c o r r e l a t e d w i t h e x p e r i m e n t a l r e s u l t s by m a t c h i n g mm-contents c a l c u l a t e d b y t h e Monte C a r l o method t o mm-contents e v a l u a t e d f r o m t h e 300 MHz meth ine proton resonances of the polymers. Two d i f f e r e n t V v a l u e s w e r e u s e d f o r t h e Monte C a r l o c a l c u l a tions. A v a l u e o f 0.5 was u s e d t o p r e d i c t t h e e f f e c t o f a com p l e t e l y random e p i m e r i z a t i o n p r o c e s s t h a t y i e l d s a p e r f e c t l y a t a c t i c p o l y m e r when e q u i l i b r a t i o n i s c o m p l e t e . Our p r e v i o u s work employed a V v a l u e o f 0.65 a n d t h i s was a l s o u s e d h e r e . The 0.65 v a l u e , w h i c h y i e l d s a s i i g h t l y s y n d i o t a c t i c p o l y m e r (P(m)=0.43), was s e l e c t e d i n i t i a l l y b e c a u s e i t p r e d i c t s a r r - c o n t e n t f o r t h e completely e q u i l i b r a t e d polymer that agrees w i t h t h e o r e t i c a l pre d i c t i o n s o f F l o r y and W i l l j a m s ( 3 6 ) . R e s u l t s and D i s c u s s i o n A r o m a t i c C - l R e s o n a n c e . F i g u r e s 1-6 show a r o m a t i c C - l c a r b o n r e sonance p a t t e r n s o b s e r v e d f o r v a r i o u s e p i m e r i z e d i s o t a c t i c p o l y s t y r e n e s a m p l e s . The p a t t e r n s a r e e a s i l y d i v i d e d i n t o s i x r e s o n a n c e a r e a s , t h a t a r e d e s i g n a t e d A-F i n o r d e r o f i n c r e a s i n g f i e l d . A r e a s A, C a n d Ε a r e c l e a r i n t h e s e F i g u r e s w h i l e a r e a s B, D a n d F a r e cross-hatched. Except f o r the resonance p a t t e r n observed f o r atac t i c p o l y s t y r e n e ( F i g u r e 6 ) , t h e resonances appear t o be a s s i g n a b l e as f o l l o w s : A - mmmm Β - (mmmr + rmmm) C - rmmr D - (mmrr 4- rrmm) + (mmrm + mrmm) Ε - (rmrm + mrmr) + ( r m r r + r r m r ) F - rr T h u s , t r i a d s e q u e n c e d i s t r i b u t i o n s c a n b e measured b y c o m b i n i n g t h e s e f r a c t i o n a l r e s o n a n c e a r e a s : mm=A+B+C; (mr+rm)=D+E; r r = F . I n t h e c a s e o f t h e a t a c t i c p o l y s t y r e n e p a t t e r n ( F i g u r e 6) t h e demar c a t i o n between t h e D and Ε a r e a s i s n o t c l e a r and i t i s e a s i e r t o d i s t i n g u i s h D a n d Ε a r e a s t h a t may b e a s s i g n e d a s f o l l o w s : f
1
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
H A R W O O D ET A L .
Polystyrène
and Epimerized Isotactic Polystyrenes 203
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13.
147
145
146 ôc(ppm)
F i g u r e 1.
O b s e r v e d and S i m u l a t e d 75 MHz A r o m a t i c C - l Carbon Resonance P a t t e r n o f an E p i m e r i z e d Isot a c t i c P o l y s t y r e n e Sample H a v i n g a mm-Content of 0.70.
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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NMR AND MACROMOLECULES
F i g u r e 2.
O b s e r v e d and S i m u l a t e d 75 MHz A r o m a t i c C - l C a r bon R e s o n a n c e P a t t e r n o f a n E p i m e r i z e d I s o t a c t i c P o l y s t y r e n e Sample H a v i n g a mm-Content o f 0.59.
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
H A R W O O D ET A L .
Polystyrene and Epimerized Isotactic Polystyrenes
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13.
F i g u r e 3.
O b s e r v e d and S i m u l a t e d 75 MHz A r o m a t i c C - l C a r bon R e s o n a n c e P a t t e r n o f a n E p i m e r i z e d I s o t a c t i c P o l y s t y r e n e Sample H a v i n g a mm-Content o f 0 . 5 5 .
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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F i g u r e 4.
O b s e r v e d and S i m u l a t e d 75 MHz A r o m a t i c C - l C a r bon R e s o n a n c e P a t t e r n o f an E p i m e r i z e d I s o t a c t i c P o l y s t y r e n e Sample H a v i n g a mm-Content o f 0.41.
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
H A R W O O D ET A L .
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13.
A
147
Polystyrene and Epimerized Isotactic Polystyrenes
B
O
D
E
146
F
145 ôc(ppm)
F i g u r e 5.
O b s e r v e d and S i m u l a t e d 75 MHz A r o m a t i c C - l C a r bon R e s o n a n c e P a t t e r n o f an E p i m e r i z e d I s o t a c t i c P o l y s t y r e n e Sample H a v i n g a mm-Content of 0.34.
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
207
208
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NMR AND MACROMOLECULES
F i g u r e 6.
O b s e r v e d and S i m u l a t e d 75 MHz A r o m a t i c C - l C a r b o n R e s o n a n c e P a t t e r n o f P o l y s t y r e n e (mm M3.20).
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
13.
H A R W O O D ET A L .
Polystyrene and Epimerized isotactic Polystyrenes
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D Ε
1
1
209
- (mmrr + rrmm) - (mmrm + mrmm) + (rmrm + mrmr) + (rmrr + rrmr).
In e v a l u a t i n g t r i a d stereosequence d i s t r i b u t i o n s f o r a t a c t i c p o l y styrene, then, the f o l l o w i n g combinations of f r a c t i o n a l resonance a r e a s c a n b e u s e d : mm=A+B+C, (mr+rm)=D'+Ε'; r r - F . T a b l e I I com pares t r i a d stereosequence d i s t r i b u t i o n s evaluated a s described above w i t h v a l u e s c a l c u l a t e d f o r t h e p o l y m e r s b y Monte C a r l o s i m u l a t i o n o f t h e e p i m e r i z a t i o n p r o c e s s . C a l c u l a t e d r e s u l t s b a s e d on V v a l u e s o f 0.50 a n d 0.65 a r e p r o v i d e d f o r c o m p a r i s o n . T h e r e i s l i t t l e d i f f e r e n c e b e t w e e n c a l c u l a t e d r e s u l t s b a s e d o n V=0.50 o r 0.65 when mm>0.35, b u t when mm A r r r > Amrm. F i g u r e 9 may h e l p t o i l l u s t r a t e t h i s a p p r o a c h . Once a l l s e v e n A x y z p a r a m e t e r s h a v e b e e n e v a l u a t e d , c h e m i c a l s h i f t s f o r t h e r e m a i n i n g 21 h e p t a d s c a n b e c a l c u l a t e d and u s e d f o r s i m u l a t i n g the s p e c t r a o f polymers epimerized t o h i g h e r e x t e n t s , as w e l l a s t h e s p e c t r u m o f p o l y s t y r e n e . M i n o r a d j u s t m e n t s c a n t h e n b e made i n c a l c u l a t e d c h e m i c a l s h i f t s t o f i l l i n o r deepen v a l l e y s o r t o e l i m i n a t e d i s t o r t i o n s caused by c o i n c i d e n c e s o f c a l culated chemical s h i f t s . T h i s approach worked r e a s o n a b l y success f u l l y when a p p l i e d t o q u a t e r n a r y a r o m a t i c c a r b o n r e s o n a n c e s o b s e r ved f o r e p i m e r i z e d i s o t a c t i c p o l y s t y r e n e s a s measured a t 20 MHz and room t e m p e r a t u r e ( 1 9 ) . I t proved n e c e s s a r y , however, t o s h i f t heptads c o n t a i n i n g a c e n t r a l rmrr (or rrmr) pentad u p f i e l d by 0.256 ppm t o o b t a i n good a g r e e m e n t b e t w e e n o b s e r v e d and s i m u l a t e d s p e c t r a . T h i s s u g g e s t s t h a t t h e s h i e l d i n g e x p e r i e n c e d by a n u c l e u s f r o m one d i r e c t i o n o f t h e p o l y m e r c h a i n may n o t b e e n t i r e l y i n d e pendent o f t h e s t r u c t u r e o f t h e c h a i n t h a t proceeds i n the opposite d i r e c t i o n . T h i s same g e n e r a l a p p r o a c h was u s e d i n t h e p r e s e n t s t u d y t o d e v e l o p A x y z v a l u e s f o r p o l y s t y r e n e s p e c t r a r e c o r d e d a t 150°. The values o b t a i n e d , together w i t h those developed p r e v i o u s l y f o r s p e c t r a r e c o r d e d a t room temper a ture(]L9) a r e g i v e n i n T a b l e V. The most s i g n i f i c a n t d i f f e r e n c e b e t w e e n t h e two s e t s o f v a l u e s i s the dramatic i n c r e a s e i n A r r r w i t h an i n c r e a s e i n temperature. S i n c e Armm, A r r m , Armr and A r r r a l l h a v e s i m i l a r and l a r g e n e g a t i v e v a l u e s compared t o t h e o t h e r A x y z v a l u e s a t 150°, i t i s u n d e r s t a n d able t h a t p o l y s t y r e n e s p e c t r a recorded a t h i g h temperature can p r o v i d e r e l i a b l e measures o f r r - t r i a d c o n c e n t r a t i o n s . M i n o r a d j u s t m e n t s were made i n c h e m i c a l sh i f t s c a l c u l a t e d u s i n g Axyz v a l u e s t o improve the q u a l i t y o f f i t between s i m u l a t e d and o b s e r v e d s p e c t r a . The h e p t a d c h e m i c a l s h i f t s u s e d t o s i m u l a t e
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
H A R W O O D ET A L .
Polystyrene and Epimerized Isotactic Polystyrenes
-p| mmmmmm - mmmmmr
=-Ammr
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I mmmmmm - mmmmrr = - A m r r
mmmmmm - mmmrrm = - A r r m
mmmmmm - mmrrmm = - 2 A r m m
•
I—*\ I
>j
h Group F i g u r e 9.
I—*| (
A
xxxmmm - xxxmrm =-Δmrm *|
^ I
^calculated line
^|
xxxmmm - xxxrrr = - Δ π τ xxxmmm - xxxrmr =-Δ rmr
B
E s t i m a t i o n o f Aabc P a r a m e t e r s f r o m t h e S p e c t r a o f E p i m e r i z e d P o l y m e r s H a v i n g H i g h mm-Contents.
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NMR A N D MACROMOLECULES
T a b l e V.
E m p i r i c a l Chemical S h i f t Parameters f o r P o l y s t y r e n e a t 20° and 150°
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Parameter Δ mmr Δπιπιι Armm Amrr Arrm Armr Arrr rmrr
correction
(Axyz) E v a l u a t e d
V a l u e (ppm) 20°
150°
-0.080 -0.288 -0.752 -0.192 -0.695 -0.621 -0.496
-0.077 -0.266 -0.728 -0.196 -0.637 -0.665 -0.616
-0.256
-0.112
the s p e c t r a a r e g i v e n i n Table V I , along w i t h those c a l c u l a t e d u s i n g t h e p a r a m e t e r s l i s t e d i n T a b l e V. T a b l e V I a l s o compares the r e l a t i v e order o f these heptad resonance assignments w i t h t h e r e l a t i v e order o f methyl carbon heptad resonances c a l c u l a t e d f o r p o l y p r o p y l e n e by S c h i l l i n g a n d T o n e l l i ( 3 7 ) , u s i n g t h e r o t a t i o n a l i s o m e r i c s t a t e m o d e l . The c o r r e s p o n d e n c e b e t w e e n t h e two s e t s o f a s s i g n m e n t s i s s u r p r i s i n g l y good. A l t h o u g h some a r o m a t i c C - l c a r bon p e n t a d r e s o n a n c e p a t t e r n s o v e r l a p i n t h e p o l y s t y r e n e s p e c t r a , the r e l a t i v e o r d e r i n g o f the pentad resonance p a t t e r n s e x a c t l y matches t h a t o f t h e methyl carbon pentad resonances o f p o l y p r o p y l e n e , a s c a l c u l a t e d b y S c h i l l i n g a n d T o n e l l i ( 3 7 ) [mmmm, (mmmr + rmmm), rmmr, (mmrr + rrmm), (mmrm + mrmm), ( r m r r + r r m r ) , (rmrm + mrmr), r r r r , ( m r r r + r r r m ) , mrrm, i n o r d e r o f i n c r e a s i n g f i e l d ] . T h i s o r d e r i n g i s a l s o i n agreement w i t h t h e a s s i g n m e n t s d e v e l o p e d f o r t h e a r o m a t i c C - l r e s o n a n c e s o f p o l y s t y r e n e by S a t o a n d Tanaka (11). I t i s i n o n l y f a i r agreement w i t h o r d e r i n g b a s e d on T o n e l l i s recent c a l c u l a t i o n s f o r p o l y s t y r e n e ( 3 8 ) , which, i n con t r a s t t o t h e p o l y p r o p y l e n e c a l c u l a t i o n s ( 3 7 ) , t e n d t o group t h e l i n e s i n t o f o u r g e n e r a l a r e a s . R e s o n a n c e s o f mm-centered p e n t a d s a r e c a l c u l a t e d t o o c c u r i n t h r e e o f t h e s e a r e a s a n d t h e r e i s more e x t e n s i v e o v e r l a p p i n g o f mm- and ( m r + r m ) - c e n t e r e d p e n t a d r e s o n a n c e r e g i o n s t h a n seems r e a s o n a b l e b a s e d on o u r s i m u l a t i o n s t u d i e s . F i g u r e s 1 - 6 compare o b s e r v e d a r o m a t i c C - l c a r b o n r e s o n a n c e s p e c t r a w i t h s i m u l a t e d s p e c t r a based on t h e heptad c h e m i c a l s h i f t s g i v e n i n T a b l e V I and on heptad stereosequence c o n c e n t r a t i o n s c a l c u l a t e d by Monte C a r l o s i m u l a t i o n o f t h e e p i m e r i z a t i o n p r o c e s s , u s i n g V=0.65. The s i m u l a t i o n s p e c t r a r e p r o d u c e t h e g e n e r a l f e a t u r e s o f t h e o b s e r v e d s p e c t r a v e r y w e l l a n d c a n be c o n s i d e r e d t o be i n a t l e a s t s e m i - q u a n t i t a t i v e agreement w i t h t h e o b s e r v e d s p e c tra. The agreement b e t w e e n o b s e r v e d and s i m u l a t e d s p e c t r a m i g h t be i m p r o v e d i f s p e c t r a w i t h h i g h e r S/N r a t i o s were employed a n d i f a d d i t i o n a l p a r a m e t e r a d j u s t m e n t s w e r e made. I t seems, h o w e v e r , t h a t t h e h e p t a d a s s i g n m e n t s d e v e l o p e d i n t h i s work a r e r e a s o n a b l y correct. f
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
13.
H A R W O O D ET A L .
Polystyrene and Epimerized Isotactic Polystyrenes
111
Table V I . Heptad Assignments f o r A r o m a t i c C - l Carbon Resonances of P o l y s t y r e n e Heptad
6 (Calc) c
Polypropylene C
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3
b
mmmmmm rmmmmm + mmmmmr rmmmmr
146.40 146.32 146.25
146.40 146.32 146.25
l 2 3
l 2 3
1 2 3
+ + + +
mmmmrm rmmmrm mmmmrr rmmmrr
146.13 146.06 146.20 146.13
146.13 146.06 146.20 146.18
6 7 4 5
9 11-13 7,8 10
5 7 4 6
mrmmrm rrmmrm + mrmmrr rrmmrr
145.87 145.94 146.01
145.91 145.92 146.01
10 9 8
18 17 16
10,11 9 8
mmmrrm rmmrrm mmmrrr rmmrrr
+ + + +
mrrmmm mrrmmr rrrmmm rrrmmr
145.76 145.69 145.78 145.71
145.77 145.70 145.85 145.76
12 14 11 13
11-13 14,15 11-13 14,15
mmmrmm rmmrmm mmmrmr rmmrmr
+ + + +
mmrmmm mmrmmr rmrmmm rmr mmr
145.67 145.59 145.74 145.66
145.67 145.60 145.74 145.63
16 18 15 17
5 7,8 4 6
16 18 15 17
mrmrmm rrmrmm mrmrmr rrmrmr
+ + + +
mmrmrm mmrmrr rmr mrm rmrmrr
145.41 145.48 145.47 145.54
145.36 145.41 145.50 145.53
25 24 20 19
22 20,21 20,21 19
26 24 25 23
mrmrrm rrmrrm mrmrrr rrmrrr
+ + + +
mrrmrm mrrmrr rrrmrm rrrmrr
145.39 145.46 145.41 145.48
145.35 145.45 145.43 145.48
26 22 23 21
26 23,24 25 23,24
21 19 22 20
mrrrrm rrrrrm + mrrrrr rrrrrr
145.13 145.15 145.17
145.27 145.15 145.20
27 29 28
27 28 29
27 28 29
+ + + +
mmrrrm mmrrrr rmrrrm rmr r r r
145.04 145.06 145.10 145.12
145.07 145.06 145.11 145.12
32 34 31 30
32 33 31 30
32 33 30 31
mmrrmm rmrrmm + mmr rmr rmr rmr
144.94 145.01 145.07
144.94 145.00 145.08
36 35 33
36 35 34
36 35 34
mrmmmm mrmmmr rrmmmm rrmmmr
mrrrmm rrrrmm mrrrmr rrrrmr
a
b
10,11 13 12 14
(a) B a s e d o n l i n e s u s e d f o r s i m u l a t i o n s shown i n F i g u r e s 1-6. (b) B a s e d o n c a l c u l a t i o n s o f T o n e l l i ( 3 8 ) . (c) Based on c a l c u l a t i o n s o f T o n e l l i and S c h i l l i n g ( 3 7 ) .
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218
NMR A N D MACROMOLECULES
S p e c t r a s i m u l a t i o n s b a s e d on s t e r e o s e q u e n c e distributions c a l c u l a t e d f o r t h e p o l y m e r s u s i n g V=0.50 a l s o matched t h e e x p e r i mental s p e c t r a very w e l l , except f o r p o l y s t y r e n e ( o r the completely epimerized polymer). I t was n o t p o s s i b l e t o d e v e l o p h e p t a d r e s o n ance a s s i g n m e n t s t h a t a f f o r d e d u n i f o r m agreement b e t w e e n o b s e r v e d and s i m u l a t e d s p e c t r a f o r a l l t h e s a m p l e s s t u d i e d when s t e r e o s e quence d i s t r i b u t i o n s b a s e d on V=0.50 w e r e u s e d . Since resonance a s s i g n m e n t s c a n be made u s i n g e p i m e r i z e d p o l y m e r s w i t h h i g h mm c o n t e n t s u s i n g s t e r e o s e q u e n c e c o n c e n t r a t i o n s b a s e d on e i t h e r V=0.50 o r V=0.65, t h e s e a s s i g n m e n t s c o u l d be u s e d t o d e t e r m i n e what V v a l u e was a p p r o p r i a t e f o r p o l y s t y r e n e ( o r t h e c o m p l e t e l y e p i m e r i z e d polymer). V v a l u e s r a n g i n g f r o m 0.62 t o 0.65 a f f o r d e d good a g r e e ment b e t w e e n s i m u l a t e d and o b s e r v e d s p e c t r a o f p o l y s t y r e n e . Assuming B e r n o u l l i a n s t a t i s t i c s , ν=(1-σ) /σ , where σ i s t h e p r o b a b i l i t y o f a meso p l a c e m e n t i n t h e c o m p l e t e l y e q u i l i b r a t e d p o l y m e r ( o r i n p o l y s t y r e n e ) . V v a l u e s o f 0.62-0.65 t h u s i m p l y t h a t p o l y s t y r e n e c a n be c h a r a c t e r i z e d b y a σ v a l u e o f 0.44. One d i s t u r b i n g a s p e c t o f t h i s p o r t i o n o f t h e s t u d y i s t h e f a c t t h a t t h e mmrrmm s i g n a l ( 6 = v L 4 5 . 3 ppm) i s n o t a s i n t e n s e i n some o b s e r v e d s p e c t r a ( F i g u r e s 1-4) a s i t s h o u l d be b a s e d on s i m u l a t i o n and on a r g u m e n t s p r e s e n t e d e a r l i e r i n t h i s p a p e r . T h i s may i n d i c a t e an i n f l u e n c e o f n o n a d s , o r a d i m i n i s h e d s e n s i t i v i t y o f c a r b o n s i n t h i s e n v i r o n m e n t due t o r e l a x a t i o n t i m e o r NOE d i f f e r ences. A d d i t i o n a l study of t h i s p o i n t i s merited. M e t h y l e n e and M e t h i n e C a r b o n R e s o n a n c e s . F i g u r e 10 compares t h e m e t h y l e n e and m e t h i n e c a r b o n r e s o n a n c e p a t t e r n s o b s e r v e d f o r p o l y s t y r e n e and t h e e p i m e r i z e d p o l y m e r s . The m e t h y l e n e c a r b o n s p e c t r a are too noisy t o j u s t i f y q u a n t i t a t i v e study. An a n a l y s i s o f s p e c t r a r e c o r d e d u s i n g a l a r g e r number o f FID a c c u m u l a t i o n s w i l l be reported subsequently. However, t h e p a t t e r n s o b s e r v e d a r e q u a l i t a t i v e l y s i m i l a r t o those d i s c u s s e d e a r l i e r t h a t were r e c o r d e d w i t h a 20 MHz s p e c t r o m e t e r ( 1 8 ) . The m e t h i n e c a r b o n r e s o n a n c e p a t t e r n s o c c u r r e d o v e r a s m a l l c h e m i c a l s h i f t r a n g e a n d were t h e r e f o r e adequately d e f i n e d f o r q u a n t i t a t i v e study. We r e p o r t e d p r e v i o u s l y that the methine carbon resonance of these polymers occurs i n two g e n e r a l a r e a s a n d a s s i g n e d t h e l o w e r f i e l d a r e a t o m m - t r i a d s . F i g u r e 11 compares t h e p r o p o r t i o n o f m e t h i n e c a r b o n r e s o n a n c e o b s e r v e d i n t h i s l o w e r a r e a w i t h mm-contents m e a s u r e d f o r t h e p o l y mers f r o m t h e i r m e t h i n e p r o t o n r e s o n a n c e p a t t e r n s . I t c a n be s e e n t h a t t h e r e i s a 1:1 c o r r e s p o n d e n c e b e t w e e n t h e s e two q u a n t i t i e s , t h u s p r o v i n g t h a t t h e l o w e r f i e l d m e t h i n e c a r b o n r e s o n a n c e i s due to mm-triads. 2
2
c
Conclusions Although the aromatic C - l carbon resonance of p o l y s t y r e n e i s very complex, r e l a t i v e l y simple aromatic C - l carbon resonance s p e c t r a are observed f o r p a r t i a l l y epimerized i s o t a c t i c p o l y s t y r e n e s . S t u d i e s on s u c h "model p o l y s t y r e n e s " p r o v i d e t h e i n f o r m a t i o n needed to i n t e r p r e t t h e spectrum o f p o l y s t y r e n e i t s e l f . B a s e d on a s s i g n -
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
Polystyrene and Epimerized Isotactic Polystyrenes
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H A R W O O D ET A L .
F i g u r e 10.
75 MHz M e t h y l e n e and M e t h i n e C a r b o n R e s o n a n c e o f P o l y s t y r e n e and o f E p i m e r i z e d I s o t a c t i c P o l y s t y r e n e Samples.
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.
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220 NMR AND MACROMOLECULES
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H A R W O O D ET A L .
Polystyrene and Epimerized Isotactic Polystyrenes
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1
merits made i n t h i s p a p e r a n d i n o t h e r s i n t h i s s e r i e s , t h e H and C-NMR s p e c t r a o f p o l y s t y r e n e i n d i c a t e t h a t i t c a n be c h a r a c t e r i z e d by a σ v a l u e o f ^ 0 . 4 5 . 13
A c k n o w l e dgment s T h i s s t u d y was s u p p o r t e d i n p a r t b y a g r a n t f r o m t h e N a t i o n a l S c i e n c e F o u n d a t i o n (DMA-80-10709).
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RECEIVED
November 3, 1983
Randall; NMR and Macromolecules ACS Symposium Series; American Chemical Society: Washington, DC, 1984.