1. The sign or "target" for pages apparently lacking from the document

Size: px
Start display at page:

Download "1. The sign or "target" for pages apparently lacking from the document"

Transcription

1 INFORMATION TO USERS This dissertation was produced from a microfilm copy of the original document. While the most advanced technological means to photograph and reproduce this document have been used, the quality is heavily dependent upon the quality of the original submitted The following explanation of techniques is provided to help you understand markings or patterns which may appear on this reproduction. 1. The sign or "target" for pages apparently lacking from the document photographed is "Missing Page(s)". If it was possible to obtain the missing page(s) or section, they are spliced into the film along with adjacent pages. This may have necessitated cutting thru an image and duplicating adjacent pages to insure you complete continuity. 2. When an image on the film is obliterated with a large round black mark, it is an indication that the photographer suspected that the copy may have moved during exposure and thus cause a blurred image. You will find a good image of the page in the adjacent frame. 3. When a map, drawing or chart, etc., was part of the material being photographed the photographer followed a definite method in "sectioning" the material. It is customary to begin photoing at the upper left hand corner of a large sheet and to continue photoing from left to right in equal sections with a small overlap. If necessary, sectioning is continued again - beginning below the first row and continuing on until complete. 4. The majority of users indicate that the textual content is of greatest value, however, a somewhat higher quality reproduction could be made from "photographs" if essential to the understanding of the dissertation. Silver prints of "photographs" may be ordered at additional charge by writing the Order Department, giving the catalog number, title, author and specific pages you wish reproduced. University Microfilms 300 North Zoob Road Ann Arbor, Michigan A Xerox Education Company

2 73-11,591 THOMPSON, G erald L ee, PYROLYSIS, PHOTOLYSIS, AND SOLVOLYSIS STUDIES OF UNSATURATED PROPELLANES. The Ohio S ta te U n iv e rs ity, P h.d., 1972 C hem istry, o rg an ic ( University Microfilms, A XEROX C om pany, Ann Arbor, Michigan THIS DISSERTATION HAS BEEN MICROFILMED EXACTLY AS RECEIVED.

3 PYROLYSIS, PHOTOLYSIS, AND SOLVOLYSIS STUDIES OF UNSATURATED PROPELLANES DISSERTATION P re se n te d i n P a r t i a l F u lfillm e n t o f th e R equirem ents f o r th e D egree D octor o f P h ilo so p h y i n th e G raduate S ch o o l o f The Ohio S ta te U n iv e rs ity By G erald Lee Thompson, B.S. The Ohio S ta te U n iv e rs ity 1972 A pproved "by t\lo A d v iso r^ D epartm ent o f C hem istry

4 PLEASE NOTE: Some pages may have indistinct print. Filmed as received. University Microfilms, A Xerox Education Company

5 DEDICATION To ny w ife, my son, and n$r p a re n ts ii

6 ACKNOWLEDGMENTS I would l i k e t o ex p ress my s in c e re a p p r e c ia tio n t o P ro fe s s o r P a q u e tte f o r guidance and in s p i r a t i o n th ro u g h o u t my g ra d u a te c a re e r. My a s s o c ia tio n w ith him has "been a rew ard in g e x p e rie n c e in many ways. Thanks a re due many in d iv id u a ls, h u t e s p e c ia lly t o D r. S ta n le y A. Lang f o r s e l f l e s s l y c o n tr ib u tin g an enormous amount o f tim e i n th e d e te rm in a tio n o f 100-MHz nmr s p e c tra. Acknowledgment i s a ls o due P h i l l i p s P etro leu m C o rp o ra tio n and The Ohio S ta te U n iv e rs ity f o r f in a n c i a l su p p o rt in th e form o f fe llo w s h ip s. F in a lly, I would l i k e t o th a n k Kay H enzel f o r h e r sm ilin g fa c e each m orning. iii

7 VITA March 16, 19l* B orn - Swea C ity, Iowa B.S., Iowa S ta te U n iv e rs ity, Ames, Iowa T eaching A s s is ta n t, D epartm ent o f C hem istry, The Ohio S ta te U n iv e rs ity, Columbus, Ohio R esearch A s s is ta n t, D epartm ent o f C hem istry, The Ohio S ta te U n iv e rs ity, Columbus, Ohio P h i l l i p s P etro leum F ello w, The Ohio S ta te U n iv e rs ity, Columbus, Ohio D is s e r ta tio n F ello w, The Ohio S ta te U n iv e rs ity, Columbus, Ohio PUBLICATIONS L. A. P a q u e tte, R. E. W ingard, J r., J. C. P h i l i p s, G. L. Thompson, L. K. Read, and J. C lard y, o-h alo S u lfo n e s. XVII. D ire c tiv e E f f e c ts in th e C h lo rin a tio n o f T h ia p ro p e U a n e s, J. Amer. Chem. S o c., 93* 1*508 ( ). ' L. A. P a q u e tte and G. L. Thompson, C o m p etitiv e Bond R o ta tio n and Bond S c is s io n P ro c e sse s in S e m is ta h iliz e d 1,1* D ir a d ic a ls. The Therm al F rag m e n ta tio n o f [l*.l*.2 ]F ro p e lla -2,l* -d ie n e s," i b i d., 93* 1*920 (1971). L. A. P a q u e tte and G. L. Thompson, ^ F u n c tio n a liz a tio n R e a c tio n s o f f l*.l*.2 ] P r o p e lla - 3,ll- d ie n e, i b i d., **, 7118 (1972). L. A. P a q u e tte and G. L. Thompson, S tere o c h e m ical F e a tu re s o f th e Therm al and P h o to ch em ical F rag m entatio n s o f [l*.l*. 2 ]P rq p e lla -2,l* - d ie n e s, i b i d., gk, ( ). iv

8 R. G le ite r, E. H e ilb ro n n e r, L. A. P a q u e tte, G. L. Thompson, and R. E W ingard, J r., t h c to e le c tr o n S p e c tra o f P o ly u n sa tu ra te d [4 A. 2] P r o p e lla n e s, T e tra h e d ro n ( in p r e s s ). FIELDS OF STUDY M ajor F ie ld : O rganic C hem istry

9 TABLE OP CONTENTS Page DEDICATION... i i ACKNOWLEDGMENTS... i l l V IT A... i v. LIST OF FIGURES... LIST OF ILLUSTRATIONS... LIST OF TABLES... i x v l i v i i i PART I. PYROLYSIS AND PHOTOLYSIS STUDIES I n t r o d u c t i o n... 1 R e s u lts and D i s c u s s i o n PART I I. SOLVOLYSIS STUDIES I n t r o d u c t i o n R e s u lts and D iscu ssio n EXPERIMENTAL REFERENCES vi

10 LIST OF FIGURES F ig u re 1. I n te r a c t i o n diagram f o r l,^ - d ia z a b ic y c lo [ o ctan e ( j ) Page F ig u re 2. F ig u re 3- F ig u re k. F ig u re 3. F ig u re 6. I n te r a c t i o n diagram f o r a te tra m e th y le n e w ith 9 = 1 8 0, fi = y = 9 0, la r g e a... 7 Energy p r o f i l e alo n g th e r e a c tio n c o o rd in a te f o r d ecom p o sitio n o f cy clo h u ta n e MKz nmr s p e c tra o f lia- (a ) and 128 (b ) i n CCI4 s o lu tio n c o n ta in in g 2 2 mol E u(fod ^ P a r t i a l s p e c tr a (60 MHz) o f 0,6 6 M s o lu tio n s in carbon t e t r a c h l o r i d e c o n ta in in g mol % Eu(DPM)a; t r a c e a, ; t r a c e b, 'kra c e l ^ b ; t r a c e d, m ix tu re o f l ^ a and l ^ b as o b ta in e d from P o s s ib le n eig h b o rin g group p a r t i c i p a t i o n b y f iv e d i f f e r e n t bondin g e le c tr o n n u c le o p h ile s i n th e s o lv o ly s is o f d e r iv a tiv e s o f 7 -h y d ro x y m eth y lcy clo - h e p ta tr ie n e (l 6 6 a ) vii

11 LIST OF ILLUSTRATIONS Page Scheme I. <r>c hlorination o f s u lf id e s... jk Scheme I I. P r e p a ra tio n o f th ia [ ^.4.3 ] p i,o p e l l a n e s Scheme I I I. P re p a ra tio n o f a n t i - and Byn-h y d ro x y m eth y lb icy clo - [lf.ii-.l]u n d e c a -l,3 /5 t r i e n e s {17_2a and 17,3 a ) Scheme IV. P r e p a ra tio n o f a lc o h o ls a, lg T a, and go O a viii

12 LIST OF TABLES Page T able 1. P ro d u ct D is tr ib u tio n f o r Therm al D ecom position o f ^ and ^ T able 2. P ro d u ct D is tr ib u tio n f o r D ecom position o f ^ T able 3* Table k. Comparison o f E q u ilib riu m D ata w ith P ercen ta g e Com positions from C h lo rin a tio n -O x id a tio n Sequence f o r V arious a -c h lo ro S u lfo n es Chemical S h ifts (6 values) and M u ltip lic itie s R ecorded f o r th e More D ow nfield S h ifte d P ro to n s (exclu d in g -OH) in 135a, rggb, and 138 [0.6 6 M s o lu tio n s i n CCI4 c o n ta in in g 45 mol?teu(bpm)3 ]... 6 l Table 5* Thermally Generated Isomer D istrib u tion s of TO T able 6. T able? T able 8. T able 9. P h o to ch em ically G enerated Isom er D is tr ib u tio n s o f S o lv o ly tic R e a c tiv ity o f Mono- and B ic y c lic A lco h o l D e riv a tiv e s S o lv o ly s is o f 3, 5 -jd in itro b en zo ates in 80:20 A cetone- W ater S o lv o ly s is o f 3 > 5 -B in itro b e n z o a te s i n 75:25 THF-CH3 OH a t C T able 10. S o lv o ly s is o f 197b In 80:20 A cetone-w ater a t T able 11. S o lv o ly s is o f 19Tb in 80:20 A cetone-w ater a t T able 12. S o lv o ly s is o f 19,7b in 80:20 A cetone-w ater a t 99*5 164 T able 13. S o lv o ly s is o f 172c in 80:20 A cetone-w ater a t T able 14. S o lv o ly s is o f 172c i n 8 0:20 A cetone-w ater a t T able 15. S o lv o ly s is o f 172c i n 80:20 A cetone-w ater a t 99*5 167 ix

13 Page T able 16. S o lv o ly s is o f _175c in 80:20 A cetone-w ater a t T able 17. S o lv o ly s is o f 17J5C i n 80:20 A cetone-w ater a t T able 18. S o lv o ly s is o f 173c in 8 0:20 A cetone-w ater a t T able 19. S o lv o ly s is o f l%6b in 8 0:20 A cetone-w ater a t T able 20. S o lv o ly s is o f 196b in 80:20 A cetone-w ater a t 9 9 * T able 21. S o lv o ly s is o f 196b in 8 0 :2 0 A cetone-w ater a t T able 22. S o lv o ly s is o f 175c in 75:25 THF-CK3 OH a t T able 23. S o lv o ly s is o f 200b in 75:25 THF-CH3 OH a t x

14 INTRODUCTION The p o s tu la te d involvem ent o f 1,4 d ir a d ic a ls in a v a r ie ty o f chem ical tra n s fo rm a tio n s has s tim u la te d re s e a rc h e f f o r t i n o rg a n ic, p h y s ic a l, and t h e o r e t i c a l ch em istry. A lthough th e r e s u l t s o f t h i s re s e a rc h have p ro v id e d co n v in cin g therm odynam ic, k i n e t i c, and wave m echanical argum ents f o r th e e x is te n c e o f such h ig h en erg y s p e c ie s, 1,4 d ir a d ic a ls have n o t b een d e te c te d d i r e c t l y and rem ain th e s u b je c t o f s u b s ta n tia l c o n tro v e rsy even t o th e e x te n t t h a t th e y be b e t t e r c h a ra c te riz e d as t r a n s i t i o n s ta t e s th a n t r u e r e a c tio n in te rm e d ia te s. I n t e r e s t d a tin g t o N o r ris h 's in v e s tig a tio n o f p h o to ch em ical carbon monoxide e x tr u s io n from cyclopentanone in th e mid 's 1 c o n tin u e s a t p re s e n t w ith rin g -fo rm in g and r in g - c le a v in g tra n s fo rm a tio n s i n i t i a te d by th e rm a l and p h o to ch em ical m ethods. However, owing t o th e s u b je c t o f th e p r e s e n t d i s s e r t a t i o n, t h i s in tro d u c tio n w i l l co n cern i t s e l f c h ie f ly w ith th e r o le o f 1,4 b u ta n e d iy ls i n th e rm a l and p h o to chem ical [^ 2 + g.2 ] fra g m e n ta tio n r e a c tio n s o f c y c lo b u ta n e s. R ecent re c o g n itio n o f th e im portance o f o r b i t a l symmetry c o n tr o l in o rg a n ic ch em istry has p ro v id e d th e g r e a te s t im petus f o r th e in v e s t i g a t i o n o f 1,4 d ir a d ic a ls. T o g eth er w ith th e su rg e o f i n t e r e s t in c o n certed r e a c tio n s w hich conform t o e m p iric a l sta te m e n ts such a s th e 2 Woodward-Hoffmann r u le s th e r e has been a co rresp o n d in g in c re a s e in a t t e n t i o n t o ste p w ise ( d if u n c tio n a l) p ro c e sse s w hich do n o t conform, b u t y e t 1

15 p ro v id e a m eeting ground f o r th e two ty p e s o f r e a c tio n s. B r ie f ly s ta te d, th e o r b i t a l symmetry c o n tr o lle d ground s t a t e c y c lo a d d itio n of two m olecules o f e th y le n e m ust occur by o rth o g o n a l approach o f th e two m olecules w ith a n t a r a f a c ia l u t i l i z a t i o n o f th e p - o r b i t a l s o f one it component (th e [ rt2s + n2a] mode). T his pathw ay r e s u l t s i n in v e rs io n z o f one o f th e fo u r carbon c e n te rs in th e cy clo b u tan e p ro d u c t. The r e l a t e d [g.2 s + c 2 a ] p ro c e ss must o p e ra te (m icro sco p ic r e v e r s i b i l i t y X X c o n s id e ra tio n s ) f o r th e allow ed th e rm a l fra g m e n ta tio n s o f c y c lo b u tan es. P rom otion of one e le c tr o n t o an a n tib o n d in g o r b i t a l d u rin g photochem i c a l tra n s fo rm a tio n s r e q u ir e s th e o p p o s ite mode o f r e a c tio n, [ 2 S + 2 0] o r [2a + 2a ] Thus th e th e rm a lly allo w ed [2+2] p ro c e ss fo rb id s a l e a s t m otion pathw ay; th e p h o to ch em ical p ro c e ss does n o t. A t h e o r e t ic a l ly more rig o ro u s approach in v o lv in g a s e m ilo c a liz e d m o lecu lar o r b i t a l model has a ffo rd e d th e same r e s u l t. 3 I t sh o u ld b e m entioned t h a t c e r ta in unique c y c lo a d d itio n r e a c tio n s ( e.g. k e te n e and v in y l c a tio n a d d itio n s t o o l e f in s ) have b een r a t io n a liz e d by a [ ^ q + n2a"] co n certed mechanism in v o lv in g th e o rth o g o n a l o r b i t a l o f th e k e te n e o r v in y l c a tio n as th e a n t a r a f a c ia l component. 2 However, th e s e w i l l n o t b e

16 / 4a c o n sid e red f u r t h e r, nor w i l l th e r e t r o p ro c e ss (e.g. f3-lactam, p- la c to n e, o r cyclobutanone p y ro ly s is ) b ecau se o f th e o rth o g o n a l v acan t p o r b i t a l i n k e te n e s, e t c., w hich c o n tr ib u te two s tro n g bondin g in te r a c tio n s t h a t a re a b sen t from th e [ 2 S + rt2a ] r e a c tio n p a th f o r sim ple o le f in s. Salem h as review ed th e e le c tr o n ic p r o p e r tie s o f d ir a d ic a ls and p ro v id e d th e n e c e s s a r ily somewhat vague d e s c r ip tio n o f th e s e sp e c ie s as hav in g two odd e le c tr o n s i n d e g e n e ra te o r n e a rly -d e g e n e ra te m ole- 5 c u la r o r b i t a l s. In th e s i t u a t i o n where th e s e tw o e le c tr o n s a re s u f f i c i e n t l y i s o la te d so t h a t in t e r a c t io n b etw een them i s sm a lle r th a n h y p e rfin e i n t e r a c t io n betw een odd e le c tr o n s p in and n u c le a r s p in, an ESR spectrum can be o b ta in e d c h a r a c t e r is t i c o f tw o d o u b le t s t a t e s 6 a lth o u g h t h i s has been r e a liz e d only f o r b is g a lv in o x y l (l.) and C h ich i- 7 b a b in 's hydrocarbon (2). S in ce such p u re double r a d i c a l s a r e r a r e, Cl C l 1 0 * th e more common circu m stan ce i s one o f lo w est s i n g l e t and t r i p l e t s t a t e s w ith a sm a ll energy d if f e r e n c e. Quantum m ech an ical s tu d ie s have shown t h a t each s t a t e may p o s se s s more o r l e s s th e c h a r a c t e r is t i c s o f th e o th e r depending upon th e r e a c tio n in v o lv e d, and fu rth e rm o re t h a t

17 e i t h e r s t a t e may a c q u ire p a r t i a l io n ic c h a r a c t e r.. F in a lly, i n t e r system c ro s s in g betw een s in g l e t and t r i p l e t s t a t e s may o ccu r by a v a r ie ty o f m echanisms. 5 A lthough th e g eo m etric and e le c tr o n ic s tr u c tu r e o f a 1,U d i r a d ic a l should be t o a la r g e e x te n t a f u n c tio n o f s u b s titu e n ts and m u ltip lic i t y, i t i s f i r s t d e s ir a b le t o o b ta in in fo rm a tio n r e l a t i n g t o th e s tr u c tu r e o f th e u n s u b s titu te d s p e c ie s, te tra m e th y le n e. I n 1961 Benson b r i e f l y c h a r a c te r iz e d th e in te rm e d ia te d i r a d ic a l in th e p y ro ly s i s o f cy clo b u tan e as a s tr u c tu r e p o s s ib ly re se m b lin g a lo o se complex s o f two q u a s i-e th y le n e s p e c i e s. S e v e ra l y e a rs l a t e r Hoffmann began t o develop a more rig o ro u s t h e o r e t i c a l concept o f te tra m e th y le n e a s he c o n sid e re d th e p o s s ib le i n t e r a c t io n o f o r b ita l s s e p a ra te d by a number o f in te rv e n in g a bonds e i t h e r th ro u g h space o r th ro u g h bonds. S e v e ra l m o lecu les w ere s tu d ie d, b u t o f p a r t i c u l a r i n t e r e s t w ere th e r e s u l t s o f extended H uckel c a lc u la tio n s on l,lj- d ia z a b ic y c lo [ ] - 9 o ctan e {%) w hich made two s ig n i f i c a n t p r e d ic tio n s : f i r s t, th e two nonbonding n itro g e n o r b i t a l s should i n t e r a c t th ro u g h th r e e in te rv e n in g a bonds v ia o v e rla p w ith th e p a r a l l e l Ca -C3 bond, and second, t h i s th ro u g h -b o n d I n te r a c tio n betw een nj. and na sh o u ld dom inate any th ro u g h - space e f f e c t t o produce a 1.6 ev s p l i t w ith a low er ly in g an tisy m m etric o r b i t a l. Hoffmann f u r t h e r p r e d ic te d th rough-bond c o u p lin g i n o th e r system s t o b e in s e n s itiv e t o r o ta tio n about th e C2 -C3 bond w hich le a v e s th e o v erla p unchanged ( S ^ ~ ), b u t s e n s itiv e t o r o t a t i o n 10 around th e and C3-C4 bonds. P h o to e le c tro n sp e c tro sco p y confirm e d th e s e p r e d ic tio n s a s th e a n tisy m m etric o r b i t a l was found t o l i e 11 below th e sym m etric by 2.1 ev.

18 5 a* _S_ T \ «= < ) s F ig u re 1. I n te r a c tio n diagram f o r l,u -d la z a b ic y c lo [2.2.2 ]o c ta n e {^). An approach analogous t o t h a t used f o r 3 was a p p lie d hy Hoffmann t o a d e te rm in a tio n o f th e p o t e n t i a l s u rfa c e o f te tra m e th y le n e as g e n e ra te d th e rm a lly from cy clo b u tan e in th e nonco n certed cleav ag e t o 12 y ie ld tv o e th y le n e m o lecu les. C a lc u la tio n s w ere a g a in o f th e e x te n ded H uckel ty p e w hich does not d is tin g u is h s in g le t and t r i p l e t conf ig u r a tio n s, h u t r a t h e r p ro v id e s an averag e over th e s p in s t a t e s. B reaking th e C1-C4 bond o f cy clo b u tan e w ith an in -p la n e s tr e tc h in g m otion (in c re a s in g a) w h ile h o ld in g a l l o th e r v a r ia b le s c o n s ta n t c re a te d

19 6 d is c o n tin u ity in carb o n -carb o n bond o v e rla p p o p u la tio n s a t a ~ in d ic a tin g le v e l c ro sso v e r, a phenomenon analogous t o t h a t o b serv ed f o r diam ine i l l u s t r a t e d w e ll by th e f ig u r e s from H offm ann's p a p e r. F or a < th e sym m etric ( n i + n2 ) nonbonding le v e l i s doubly occupied 9 e due t o s ta b i l i z i n g th ro u g h -sp a c e i n te r a c tio n o f th e two o r b ita l s ( s tr e tc h e d c y c lo b u ta n e ). Through-bond c o u p lin g, w hich dom inates f o r a > l l 6, a r i s e s by i n t e r a c t io n o f th e nonbonding le v e ls w ith th e a and (T* le v e ls o f l i k e symmetry, and d e p re sse s th e an tisy m m e tric l e v e l below th e sym m etric. I t i s c le a r t h a t sw itc h in g tw o e le c tr o n s from S t o A r e s u l t s in d e s ta b iliz a t i o n o f th e C2-C3 bond and concom itant in c re a s e d 1

20 F ig u re 2. I n te r a c tio n diagram f o r a te tra m e th y le n e w ith 0 = 180, p = Y = 9 0, la r g e a. The r a d i c a l o r b ita l s a re mixed w ith th e u and <r,! le v e ls o f t h e C2 -C3 "bond. "bonding a t Cx-C2 and , th e s i t u a t i o n f o r two complexed e th y le n e s. There fo llo w e d a d e te rm in a tio n o f th e p o t e n t i a l energy s u rfa c e o f te tra m e th y le n e by in d e p e n d e n tly v a ry in g a, p, y, and 9, w hich in d ic a te d t h a t two lo c a l minima o f s im ila r e n e rg ie s e x is te d, one a t 01 = 1 1 6, 9 = 1 05 (g au ch e), and one a t a = 1 1 2, 9=0 ( tr a n s ), w ith p = y = 9 0 (maximum o v e rla p w ith th e C2 -C3 bond) f o r b o th co n fo rm atio n s.

21 R o ta tio n o f one te r m in a l m ethylene "by 90 in c re a se d energy by ev; s im ila r r o ta tio n o f th e o th e r te rm in u s caused only an a d d itio n a l ev energy in c r e a s e. I n th e t r a n s confo rm atio n, th e two nonbonding le v e ls were c a lc u la te d to be s p l i t by ev, a d iff e r e n c e i n s u f f i c ie n t t o g u aran te e a ground s t a t e s in g l e t. F in a lly, and o f p rim ary im p o rtan ce, by d e c re a sin g 0 and in c re a s in g th e C2 -C3 bond d is ta n c e, th e c o n d itio n s f o r decom position t o e th y le n e, Hoffmann found m onotonic energy d e c re a se from e i t h e r th e gauche o r tr a n s co nform ation. Thus no t r u e minimum o r in te rm e d ia te e x i s t s betw een cy clo b u tan e and two e th y le n e s, b u t r a t h e r th e p o t e n t i a l en erg y s u rfa c e i s c h a ra c te riz e d by a la r g e f l a t re g io n (a, tw ix ty l ) f o r th e te tra m e th y le n e s p e c ie s which th e a u th o rs b e lie v e ftw ill b e o p e r a tio n a lly in d is tin g u is h a b le from a t r u e minimum. Salem has co n cu rred w ith Hoffmann s c a lc u la tio n s and p roposed a r e a c tio n c o o rd in a te diagram (F ig u re 3)* 5 9?he F rench th e o r e tic ia n has R e a c tio n c o o rd in a te F ig u re 3* Energy p r o f i l e a lo n g th e r e a c tio n c o o rd in a te f o r d eco m p o sitio n o f c y clo b u tan e.

22 9 been p rim a rily concerned w ith th e sim p le r te tra m e th y le n e system, w hich he e le g a n tly an aly zed w ith in th e f u l l 2 1 -d im e n sio n a l h y p e rsu rfa c e w ith th e s e lf - c o n s is te n t f i e l d m o lecu lar o r b i t a l (SCF-MO) ap proach u sin g a m inim al b a s is s e t o f S la te r o r b ita lb. 1 3 H o p efu lly such an e x h a u stiv e in v e s tig a tio n w i l l be fo rth co m in g f o r th e te tra m e th y le n e s u rfa c e. R e c e n tly, more com plete m o lecu lar o r b i t a l c a lc u la tio n s o f s p in c o r r e la tio n e f f e c t s on r o t a t i o n a l b a r r i e r s i n 1,4 d i r a d ic a l s have appeared, b a se d on SCF-MO methods u s in g th e in co m p lete n e g le c t o f d i f - f e r e n t i a l o v e rla p (INDO) approach w hich in c lu d e s e le c tr o n i n te r a c tio n. S tephenson has shown from a m odel o f s in g le t s t a t e te tra m e th y le n e 1 4 re p re s e n te d by two w eakly coupled e th y le n e s t h a t a h ig h b a r r i e r (45 k c a l / mol) t o r o t a t i o n e x i s t s in th e s in g l e t s t a t e w ith a n e g lig ib le b a r r i e r (0.5 k c a l/m o l) f o r th e t r i p l e t s t a t e. T his was eco n o m ically p re s e n te d by c o n s id e ra tio n o f th e fo u r m o lecu lar o r b i t a l s a f t e r th ro u g h -b o n d i n t e r a c t io n in t h a t r o ta tio n o f a te r m in a l m ethylene by $0 would des t a b i l i z e b o th and ife b u t would s t a b i l i z e a n tib o n d in g o r b i t a l s ^3 and ^4. The b a r r i e r t o r o t a t i o n o f s in g l e t tyi2 ^ 2 w ould b e p a r t i a l l y removed in th e t r i p l e t s t a t e. F req u e n t o v e re stim a tio n o f bond e n e rg ie s and energy sp acin g s by t h i s method was acknow ledged. These m o lecu lar o r b i t a l c a lc u la tio n s w ere la r g e ly an e f f o r t t o e x p la in more a d e q u a te ly th a n e a r l i e r p o s tu la te s (se e below ) th e i n t e r e s tin g and somewhat co n fu sin g e x p e rim e n ta l o b s e rv a tio n s o f r e a c tio n s in v o lv in g 1,4 d i r a d ic a l in te rm e d ia te s. The th e rm a l fra g m e n ta tio n o f 15 cy clo b u tan e was th e f i r s t o f th e s e r e a c tio n s in v e s tig a te d in d e t a i l. W. D. W alters re p o rte d in 1951 t h a t gas p h ase p y r o ly s is o f cy clo b u tan e

23 10 a t 1* c le a n ly y ie ld e d two m olecules o f e th y le n e in a homogeneous and k i n e t i c a l l y f i r s t - o r d e r r e a c tio n w hich was in s e n s itiv e t o a d d itio n o f in h ib ito r s and c h a r a c te r iz e d by th e h ig h p re s s u re r a t e c o n s ta n t 16 3*5 6 k = 10 exp (-62500/R T )sec_1 I t was su g g este d t h a t te tra m e th y le n e d i r a d ic a l m ight be a r e a c tio n in te rm e d ia te ; l a t e r c a lc u la tio n s in d ic a te d an ex trem ely s h o rt l i f e - / - io. tim e f o r t h i s e n t i t y 1 0 s e c ;, and th u s a d d itio n o f r a d i c a l i n h i - b i t o r s would be ex p ected t o have no e f f e c t. Of p a r t i c u l a r re le v a n c e was W a lte rs ' claim made in w h ile d e s c r ib in g th e th e rm a l d ecom position o f 1, 2 -d im e th y lc y c lo b u ta n e s (j* and jj) t o 2 -b u te n e s (j6 and T) t h a t i f a b i r a d i c a l e x i s t s m om entarily as an in te rm e d ia te, i t decomposes b e fo re th e o r ig i n a l geom etry i s c o m p letely 19 c o n v e rte d t o th e e q u ilib riu m d i s t r i b u t i o n. 16 These r e s u l t s, to g e th e r w ith th e o b serv ed c i s - t r a n s is o m e riz a tio n o f th e two cy clo b u ta n e s, w ere an a ly z ed k i n e t i c a l l y and therm odynam ically by O 'N eal and Benson 20 who lik e w is e assumed a d i r a d i c a l mechanism. A ll r a t e p ro c e sse s in th e mechanism a r e im p o rta n t. The r a t i o j6;7, ( c i s ; t r a n s ) from 1* (cis) i s 6 4 :3 6, 1 1 :8 9 from ( t r a n s ), and 4-5:55 a t e q u ilib riu m ; th e a c tiv a tio n energy f o r a cleav ag e o f t r a n s isom er i s k c a l/m o l l e s s th a n t h a t o f 4_and 2 k c a l/m o l l e s s th a n p cleav ag e o f e i t h e r isom er. The s l i g h t l y slo w er r a t e o f is o m e riz a tio n r e s u l t s i n a 7 6 :2 4 e q u ilib riu m m ix tu re o f _4 and J5.

24 11 A / \ 2$ t) 2a 2t \ it ' 5 N / I I W a i.o 'N eal and Benson have developed methods f o r making a p r i o r i t r a n s i t i o n s t a t e e s tim a te s o f a c t i v a t i o n e n e rg ie s and A rrh en iu s A f a c - 20 t o r s f o r th e rm a l r e a c tio n s o f sm a ll r in g s, b o th m onocyclic and p o ly c y c lic, by a p p lic a tio n o f g r o u p - a d d itiv ity v a lu e s and assu m p tio n o f d i r a d ic a l p ro c e s s e s. C a lc u la te d v a lu e s a re im p re s siv e ly c lo s e t o th o se o b serv ed, ex cep t i n in s ta n c e s -where a c o n c e rte d r e a c tio n i s p r e d ic te d by o r b i t a l symmetry c o n s id e ra tio n s. I n th e s e c a s e s, b o th lo g A and Ea c t 8X6 o v e re stim a te d. Thus n o t o n ly can p ro d u c ts and r a t e c o n s ta n ts and r a t e c o n s ta n t p ara m e te rs f o r th o s e p ro d u c ts be p r e d ic te d f o r d i r a d ic a l

25 r e a c tio n s, "but w here th e t r a n s i t i o n s t a t e s f o r c o n c e rte d and d ir a d ic a l p ro c e sse s f o r a r e a c tio n a re s ig n i f i c a n t l y d i f f e r e n t, A -fa c to r e s t i - 21 m ates p ro v id e a n o th e r u s e fu l d is c rim in a tin g t e s t o f m echanism. D e sp ite th e s tim u la tin g c o n trib u tio n s th u s f a r p re s e n te d, th e r e rem ained t o be d eterm ined a t th e e x p e rim e n ta l le v e l th e ste re o c h e m ic a l f a t e o f 1,4 d ir a d ic a ls upon t h e i r g e n e ra tio n from s u ita b ly - la b e le d 12 compounds. F rey compared th e r a t e o f 1,1,3,3 -te tra m e th y lc y c lo b u ta n e (8 ) decom position t o th o se o f a s e r i e s o f a lk y lc y c lo b u ta n e s i n an e f f o r t t o o b ta in a d d itio n a l in fo rm a tio n concern in g th e t r a n s i t i o n com- p le x. 2 3 At 4-50, 1, 1 -d im eth y lcy c lo b u ta n e (j?) had a decom position r a t e o f 3*34- r e l a t i v e t o c y c lo b u ta n e, as m ight b e expected, b u t 9 e x h ib ite d a r a t e d e c re a se o f r e l a t i v e t o c y c lo b u ta n e. A c tiv a tio n e n e rg ie s ran g ed from 6 l.o t o k c a l/m o l * A lthough F rey c o n sid e re d th e c o n c e rte d [a 2s + CT2a ] p ro c e ss t o b e " i n t r i n s i c a l l y more p ro b a b le, he co u ld a ls o acco u n t f o r the. e x p e rim en tal o b s e rv a tio n s w ith a d i r a d ic a l mechanism i f tw is tin g was conc u rre n t w ith s tr e tc h in g and u ltim a te bond b re a k in g o f a carb o n -carb o n bond t o c r e a te a d e s ta b iliz i n g 1,3 i n t e r a c t io n. S te re o c h e m ic a l la b e ls s u f f i c i e n t t o d is tin g u is h th e two pathw ays w ere q u ic k ly p ro v id e d by th e same a u th o rs in a r e p o r t o f th e gas p h ase p y r o ly s is o f c i s - and t r a n s -

26 ,7 -d im e th y lb ic y c lo [3.2.0 ]h e p ta n e (10 and l l ). The r e s u l t s a re rem i- n is c e n t t o th o se o f W alters f o r th e 1,2 -d im e th y lc y c lo b u te n e s and j?) 1 9 o = b CH3 ch3 klb-b53 - o ch3 ch3 ch3" ch3 10 ch3 'c h 3 11 and im p lic a te an in te rm e d ia te 1,U h u ta n e d iy l su g g ested t o a r i s e from tw is tin g o f th e four-m em bered r in g. I t i s i n t e r e s t i n g t o compare O 'N eal and B en so n 's e s tim a te d v a lu e s of Eac1- = 60.5 k c a l/m o l and lo g A = lb.6 t o th e o b serv ed v a lu e s f o r th e p a re n t hydrocarbon o f ^- k c a l/ mol and 1^. 8^, r e s p e c tiv e ly. 21 I n th e same y e a r B aldw in d e sc rib e d th e th e rm a l chem istry o f a r e l a t e d fu se d r in g compound, 'J, 8 - c is,e x o - d id e u te r io - c is - b ic y c lo [ l ] - o ctan e (1 2 ), w ith somewhat d i f f e r e n t r e s u l t s. 2 5 I t sh o u ld be n o ted t h a t such m olecules a re id e a lly s u ite d f o r in v e s tig a tio n s o f t h i s ty p e sin c e th e p rim ary cleav ag e mode g iv es cyclohexene and e th y le n e w ith th e c y c lo - alk en e r e q u ire d t o a c t as th e s u p r a f a c ia l p a r tn e r d u rin g c o n c e rte d

27 ill fra g m e n ta tio n. O ther e f f e c t s o f th e six-m em bered r in g upon t r a n s i t i o n s t a t e s tr u c tu r e a re d i f f i c u l t t o a s s e s s. Modest predom inance o f th e S * t r a n s isom er, th e "co n c e rte d p ro d u c t, " was in te r p r e te d "by th e in v e s tig a t o r s t o he in c o m p atib le w ith e i t h e r th e te tra m e th y le n e d i r a d ic a l o r th e [a 2s + a 2a ] allow ed p a th. Hoffmann c o n sid e re d th e o b s e rv a tio n s as ev id en ce a g a in s t a c o n c e rte d p ro c e ss. The th e rm a l rearran g em en t of b ic y c lo [2.2.0 ]h e x a n e s, low er homologs i n t h i s c la s s o f b i c y d i c s, t o d i a l l y l s has r e c e n tly re c e iv e d s ig n i f i ^ c an t a tte n t i o n. The f i r s t r e p o r t t o in c lu d e s u f f i c i e n t ste re o c h e m ic a l la b e lin g was made b y P a q u e tte and employed th e th r e e p o s s ib le 2,3 - d i- ae carbom ethoxy d e r iv a tiv e s 13, jui, and 13 A lthough observed p ro d u c t C00CH3 /jc00ch3!00ch3,cooch3 COOCH3 (80?) COOCH3 vv» COOCH3.COOCH3 COOCH3 21 (9*) 18 ( 11? ) ^ COOCH3

28 15 2 COOCH3 cooch3 + L + + ( 6*) (75*) (1*) COOCH3 COOCH3 (18*) 20 r a t i o s h e a v ily fa v o red ( 8 : 1 and 1 2 : l ) th o se ex p ected of a c o n c e rte d p ro c e s s, i t was re c o g n iz e d t h a t o h te n tio n o f i d e n t i c a l p ro d u c t m ix tu res from "both c is,e x o 1 and c is,e n d o Ik was ir r e c o n c ila h le w ith any p ro c ess in v o lv in g a h ig h ly tw is te d t r a n s i t i o n s t a t e t h a t w ould r e q u ire s e rio u s s t e r i c com pression of an e s te r s u b s titu e n t w ith a m ethylene c e n te r in d i e s t e r lh (n o t p re s e n t in 1 ). A more p la u s ib le mechanism was proposed in v o lv in g an in te rm e d ia te d i r a d ic a l w hich from th e most s ta b le c h a ir co n fo rm atio n ( 2 0 ) s t a b i l i z e d by fa v o ra b le th ro u g h -b o n d co u p lin g (se e above) w ould cle av e to th e o b serv ed p ro d u c ts as e a r l i e r su g g ested by Roth (se e b elo w ). A b ro ad stu d y of r a d i c a l s t a b i l i z a t i o n e n e rg ie s in th e gas and liq u id p hase h as been i n i t i a t e d by C ain in th e p y r o ly s is o f k - s u b s ti- tu te d 1 - c h lo ro b ic y c lo [ ] hexanes (2 0 ). a ls o assumed a l, k d i r a d ic a l mechanism. The A u s tra lia n group has F or a l l n in e s u b s titu e n ts in v e s tig a te d t o d a te, d ie n e fo rm a tio n h a s shown c le a r ly f i r s t o rd e r

29 16 k i n e t i c s, no in c re a s e i n r a t e w ith in c r e a s in g s o lv e n t p o l a r i t y, and no c o r r e la tio n "between s t e r i c i n te r a c tio n s and th e r a t e o f r in g opening. The observed v a lu e s w ere in agreem ent w ith p u b lis h e d d a ta o f s e v e ra l s u b s titu e n ts. Cl C l I R 20 D e sp ite im p ressiv e therm odynam ic, k i n e t i c, and ste re o c h e m ic a l ev id en ce i n su p p o rt o f a 1,4 c y c lo h e x a n e d iy l in te rm e d ia te, G o ld s te in a p p a re n tly i m p lic itly fa v o re d c o n c e rte d [g2 g + ^ a ] th e rm a l r e a rra n g e ment o f 2 1 t o 1, 5 -h e x a d ien es 22 and 2^, t o acco u n t f o r th e h ig h (? ) s te re o - 28 s e l e c t i v i t y o b serv ed. The a u th o rs o f fe r e d e i t h e r a ste p w ise o r conc e rte d p ro c e ss t o e x p la in b o th r in g opening and a h i t h e r t o unreco g n ized d e g e n e ra te in v e rs io n re arra n g e m e n t D D

30 B erson h as in v e s tig a te d th e p y r o ly s is o f c i s - and t r a n s - 2,3 - d im e th y lb ic y c lo [2.1.0 ]p e n ta n e (25 and 2 6 ). 2 9 As th e lo w est member o f th e b i c y c lic [ n ] s e r i e s, b ic y c lo [ ]p en tan e may p o sse ss a c e n tr a l carb o n -carb o n bond w ith some c h a r a c t e r is t i c s in te rm e d ia te b e tw een th e two r e l a t e d compounds b ic y c lo [ ]hexane (n o n co n certed th e rm a l fra g m e n ta tio n ) and cy clo b u tan e (c o n c e rte d ). The a c y c lic d ie n e s, a lth o u g h form ed in sm a ll y i e l d (kfy), had s te re o c h e m is trie s cons i s t e n t w ith a c o n c e rte d p ro c e ss and w ere su g g ested to a r i s e b ecau se o f a resem b lan ce o f th e c a n te d cy clopropane o r b i t a l axes w ith cy clo b u tan e it o r b i t a l s. S hould a d i r a d ic a l in te rm e d ia te b e in v o lv ed a s p r e d ic te d by O 'K eal and B en so n 's c a lc u la tio n s, 21 th e p la n a r s p e c ie s would be u n ab le t o ad o p t a fa v o ra b le tw is te d co n fo rm atio n as proposed by P a q u e tte 2 6 f o r th e six-m em bered r in g t o g iv e a ls o th e observ ed p ro d u c ts. and w ould fragm ent w ith c o n ro ta to ry opening 2 9 CH3 or

31 18 P y r o ly s is o f a r e l a t e d hydro carb o n, a n t i - t r i c y c l o [ J h eptan e (27) when a p p r o p ria te ly s u b s titu te d, r e s u l t s in a n o v el 30 f 2 + _2 + -2,,] ty p e r e a c tio n. The h ig h ly s te r e o s e le c tiv e p ro c e ss (7 S u S (J s 28 o ccu rs e q u a lly w e ll from e i t h e r 27 o r d i r e c t l y from i t s azo p re c u rs o r 2 8, p ro b a b ly i n i t i a t e d by r u p tu r e o f th e weakened C2 -C4 bond (a ro m a tic b rid g e h e a d s u b s t i t u t i o n i s re q u ire d f o r th e r e a c tio n t o fo llo w t h i s pathw ay). S tep w ise and c o n c e rte d cleav ag es a r e in d is tin g u is h a b le in t h i s in v e s tig a tio n a lth o u g h such in te rm e d ia te s a s 2 and ^ 0 a r e u n lik e ly. SSL

32 B erso n s stu d y of p o n d e ra l and e n e r g e tic e f f e c t s on r e l a t i v e r a t e s o f d eco m p o sitio n (k ^) and is o m e riz a tio n (k^) i n 1,4 tm ta n e d iy ls has re v e a le d an in c re a s e in k,j due t o in c re a s in g s t a b i l i t y o f fragm ent o le f in s w ith in c re a s in g m ethyl s u b s titu tio n and a d e c re a se in k^ due t o th e more n e g a tiv e e n tro p y o f a c t iv a tio n a s s o c ia te d w ith more m assive r o to r s. T h is e f f e c t, p r e d ic te d e a r l i e r by O N eal and Benson, was e s tim a te d by Bergman f o r m ethyl s u b s titu tio n on th e low mass m ethylene r o to r as a te n - f o l d d e c re ase d i n t e r n a l r o ta tio n fre q u en cy f a c to r. Bona f id e c o n c e rte d th e rm a l r e a c tio n s o f c y clo b u tan es c o n s is t o f such exam ples as th e s u p r a f a c ia l 1, 3 -s ig m a tro p ic rearran g em en t o f b ic y c lo [ ]h e p t- 2 -en e L t o norbornene ^ 2, 33 b u t th e co n c erte d 32 AcO + CT2a ] fra g m e n ta tio n h as o n ly b een a d e q u a te ly d em o n strated a s a 34 dom inant pathw ay f o r b ic y c lo b u ta n e s. ch3 1,4 D ir a d ic a ls a re en c o u n tered by d ecom position o f c y c lic azo compounds, and alth o u g h th e s e v a lu e s a r e w id ely quoted in a tte m p ts to

33 20 c o r r e la te c h a r a c t e r is t i c s o f v a rio u s te tra m e th y le n e in te rm e d ia te s, Bergman h as v arn ed : A s tro n g d is c la im e r sh o u ld h e n o ted w ith re g a rd t o... th e mechanism o f d eco m p o sitio n o f c y c lic azo compounds [which 3a a p p e a r] t o he v ery d i f f i c u l t t o g e n e r a liz e. Two im p o rtan t r e p o r ts in t h i s a r e a have ap p eared. Therm al e x tru s io n o f n itro g e n from h lc y - c l i c s ^ and ^ was p o s tu la te d hy R oth t o in v o lv e an in te rm e d ia te l,lf cy clo h e x a n e d iy l w hich underw ent p a r t i a l c o n fo rm a tio n a l e q u ilib r a tio n p r i o r t o cle a v a g e. 35 CH\ j d CH- C CH; H a ch3 ch3 ch3 x : a 2 L &

34 21 Table 1. P ro d u ct D is tr ib u tio n f o r Therm al D ecom position o f ^ and Isom er & % ^ * 2 b * & * a < k < B a r t l e t t c o r r e la te d mode o f d eco m p o sitio n w ith s te re o c h e m is try o f p ro d u c t cy clo b u tan es (jk> and ju.) and amount o f cleav ag e t o 2 -m e th y l-1-36 b u te n e Q5J-?) f o r th e d l and meso isom ers o f ^ 8. The la rg e amounts o f is o m e riz a tio n and cleav ag e o b serv ed f o r s e n s itiz e d i r r a d i a t i o n compared w ith v a lu e s f o r p y r o ly s is and d i r e c t i r r a d i a t i o n were r e l a t e d t o i n a b i l i t y o f th e in c ip ie n t t r i p l e t s p e c ie s t o r in g c lo se th u s p e rm itt i n g bond r o t a t i o n ab o u t Ci -Cq, Oq-Cq, and C3 -C4, w ith r e s u l t a n t in c re a s e o f cleav ag e over c lo su re due t o n o n c iso id co n fo rm atio n s. ^9 40 J+l F o rm atio n o f cyclo b u tan es in th e rm a l [2+2] r e a c tio n s h a s been a c tiv e ly in v e s tig a te d p r im a r ily by B a r t l e t t whose c o n tr ib u tio n s a re e x e m p lified by th e c y c lo a d d itio n o f te tr a f lu o r o e th y le n e (TFE) t o c is -

35 22 T able 2. P ro d u ct D is tr ib u tio n s f o r D ecom position o f 3 8. Isom er Mode o f D ecom position % 40, % 41, f R etn. in c o n fig. in 40 and 4 l,? meso A > 98 d, l A > 98 meso d i r hv d, l d i r hv meso sen s hv 77 H d, l sens hv and t r a n s - 2 -b u te n e s i l l u s t r a t i n g th e two c h a r a c t e r is t i c f e a tu r e s o f th e s e ste p w ise r e a c tio n s w ith d i r a d ic a l in te rm e d ia te s, p a r t i a l lo s s o f c o n fig u ra tio n i n th e p ro d u c ts, and g e o m e tric a l is o m e riz a tio n o f a 37 r e a c ta n t d u rin g, and o n ly d u rin g, c y c lo a d d itio n. C om p etitio n e x p e rim ents f o r e th y le n e and c i s -2 -b u te n e c y c lo a d d itio n w ith TFE p ro v id e d k e th y le n e /kb u te n e = 10 analo g o u s t o e a r l i e r s tu d ie s on [ 2+2 ] r e a c tio n s betw een l,l - d i c h l o r o - 2, 2 - d if lu o r o e th y le n e and b u ta d ie n e, t r a n s -p ip e ry - le n e, and t r a n s, t r a n s -2,4 -h e x a d ie n e. The r e s p e c tiv e r e l a t i v e r a t e s o f 1. 0, I. 6 5, and in d ic a te d t h a t s t e r i c h in d ra n c e o f a m ethyl group a t th e f i r s t s i t e o f bond fo rm a tio n i s more im p o rtan t th a n m ethyl s u b s t i t u t i o n on th e a l l y l i c group. 33 C y c lo a d d itio n o f TFE t o e i t h e r

36 II + TFE k i <- H ^ C H 3 0.T 1 krc H H k rc F fek X ^ % a 2 Z 7 F2 C* CH3 I 3 ch3 ch3 2 3 vr c + TFE 1.5 k i ch3 w n 5-^> > ' ^.H CH3 Fa J 2.2 kr -fc F, F2 C CH. 3 H CHa c i s - o r t r a n s - 1,2 -d id e u te r lo e th y le n e lik e w is e proceeded th ro u g h a d i r a d i c a l in te rm e d ia te r e s u l t i n g in a p p ro x im a tely e q u a l m ix tu res o f th e two p o s s ib le p ro d u c ts. 39 T his stu d y p ro v id e d evid en ce f o r th e g en eral i t y o f a ste p w ise p ro c e ss even f o r u n h in d ered r e a c ta n ts. Examples w hich m ight h e a n aly z ed as c o n certed th e rm a l c y c lo a d d itio n s have b een o b serv ed, a l l in v o lv in g d im e riz a tio n o f sp e c ie s c o n ta in in g a double bond h ig h ly tw is te d about i t s a x is. 40 D im e riz a tio n o f c i s, t r a n s - 1,3 - c y c lo o c ta d ie n e (42) y ie ld s a number of p ro d u c ts th e 40b m ajor b e in g (53%); r e l a t i v e therm odynam ic s t a b i l i t i e s o f v a rio u s r in g fu s io n s in v o lv in g cy clo b u tan e a r e n o t known i n most c a s e s.

37 2k I I k2 / The p h o to ch em ical g e n e ra tio n o f 1,4 d ir a d ic a ls in "both th e s in g le t and t r i p l e t s t a t e s h as "been assum ed in numerous in v e s tig a tio n s and r e c e n t rev ie w s. 41 One o f th e m ost in te n s iv e m e c h a n istic s tu d ie s has in v o lv ed th e ty p e I I p h o to p ro c e sse s. I n th e t r i p l e t d i r a d ic a l d e riv e d Ph. HO Ri -Ha Ph TT?1 JCf* hv Ph Ph Hi V from an a p p r o p ria te ly s u b s titu te d k e to n e, bond r o ta tio n i s f a s t e r th a n th e combined r a t e s o f th e th r e e p ro c e sse s shown: 1, 5-hydrogen t r a n s f e r r e s u l t s In ra c e m iz a tio n o f th e o r ig i n a l k e to n e, cleav ag e pro d u ces

38 s u b s t a n t i a l amounts o f "both p o s s ib le o le f in s, and th e m ix tu re o f d ia s - 4 ia te re o m e ric c y c lo h u ta n o ls r e t a i n s l i t t l e o p tic a l a c t i v i t y. Of p a r t i c u la r i n t e r e s t i s th e o b s e rv a tio n t h a t or, 0, and y s u b s titu e n ts i n t r o 25 duce d i f f e r e n t s t e r i c i n te r a c tio n s in to th e t r a n s i t i o n s t a t e s f o r c y c liz a tio n and cleavage t o c r e a te s u b s ta n tia l d iffe r e n c e s in ^ Cy C/^ c le * 42 The a u th o rs b a se d t h e i r in te r p r e ta tio n s upon W agner's s u g g e stio n t h a t b o th r a d i c a l p o r b i t a l s m ust o v e rlap w ith th e bond f o r cleav ag e t o o ccu r. 43 I n sharp c o n tr a s t s in g l e t ty p e I I p h o to p ro c e sse s a re q u ite s te r e o s e le c tiv e : Yang re p o rte d t h a t Ml d id n o t undergo p h o to ra c e m iz a tio n under s in g l e t c o n d itio n s as was o b serv ed f o r th e t r i p l e t. 44 S te p h e n so n 's t r i p l e t quenched i r r a d i a t i o n o f (e r y th r o ) and k6 ( th r e o ) w ith h ig h ly s te r e o s p e c if ic N o rrish ty p e I I p h o to c le a v a g e was in te r p r e te d a s a s p in c o r r e la tio n e f f e c t. CH3 JUT kb I T o u h- >Mk 0 +I + I CH3 s in g l e t H '^^C H 3 CH3'X^ I E=C02CH3 h i 90 : 1 // t r i p l e t > 1 1

39 26 CII = X : 90 s in g le t // => 1 : 1.5 t r i p l e t I n r e l a t e d work, Casey and Boggs d e s c rib e d a s n o n s te r e o s p e e if ic th e e x c ite d s in g l e t s t a t e ty p e I I c leav ag e and b u te n e fo rm a tio n from e ry - th r o and th r e o k e to n e s 4j_ (95^) and 48 (90^ ) c a lc u la te d b y an in v o lv e d d a ta a n a ly s is. 46 From th e l a t t e r two c o n tr ib u tio n s, i t i s e v id e n t t h a t CH. N o rrish ty p e I I p h o to cleav ag e from th e s i n g l e t s t a t e o ccu rs v ia a 1,4 d i r a d i c a l and n o t by a h o t ground s t a t e c o n c e rte d ene r e a c tio n a s m ight have o th e rw ise been p o s tu la te d. T here i s however a dichotom y in r a t i o n a l i z a t i o n o f s p in c o r r e la tio n e f f e c t s. Casey a p p lie d B a r t l e t t 's h y p o th e sis o f lo n g e r t r i p l e t l if e tim e s r e q u ire d by s p in in v e r s io n a llo w in g carb o n -carb o n bond r o t a t i o n t o compete w ith bond cle a v a g e,

40 46 cy clo b u tan e fo rm a tio n, o r 1,5 hydrogen t r a n s f e r w ith t h i s th e phenomenon o f p o n d e ra l e f f e c t s. 20,31,32 and has in te g ra te d In two l a t e r 27 p a p e rs Stephenson h a s r e f u te d t h i s concept a s a dom inant f a c to r s in c e C asey 's (and B a r t l e t t 's ) d e s c r ip tio n r e q u ir e s an u n reaso n ab ly sm all l 47 s p in in v e rs io n r a t e c o n s ta n t, ~ se c, and u ltim a te ly p ro posed t h a t s p in c o r r e la tio n e f f e c ts a r i s e from th ro u g h -b o n d co u p lin g (se e above) b u t r e ta in e d in h is argum ent e f f e c t s o f ponderous r o to r s. 14 Therm al r e v e r s a l o f ty p e I I p h o to p ro c e sse s has b een r e p o rte d by F e i t in th e p y r o ly s is o f c i s -1,2 -d im e th y lc y c lo b u ta n o l (jj2 /. e f f e c t o f th e r a d i c a l s t a b i l i z i n g h y d ro x y l s u b s titu e n t was 3 k c a l/m o l 46 The r e l a t i v e t o t h a t o f c i s -1,2 -d im e th y lc y c lo b u ta n e. I n a d d itio n, th e 1,5 hydrogen t r a n s f e r observed by F e it i s s tro n g ev id en ce t h a t such a p ro c e ss in p h o to ch em ical r e a c tio n s i s a pathw ay f o r r a d ia tio n le s s r e la x a tio n o f e x c ite d carb o n y l compounds. // + * \ / ~ v 7 > 7* ho h a 136 HO 6/G 12*

41 28 The o x etan e p ro d u c ts from th e P atern o -B u ch i r e a c tio n a re a ls o b e lie v e d t o a r i s e from 1,^ d i r a d ic a l in te rm e d ia te s. However, Wagner has r e c e n tly p roposed t h a t th e ra te -d e te rm in in g s te p in th e t r i p l e t keto n e r e a c tio n in v o lv e s complex fo rm a tio n and su b seq u en t c o lla p s e t o a d i r a d ic a l ; p ro d u c ts do not c o r r e la te w ith d i r a d i c a l s t a b i l i t i e s. The s in g le t r e a c tio n o f a lk a n a ls w ith n o n te rm in a l o le f in s a p p a re n tly a ls o in v o lv es an [1n-rf}f' o le f in ] e x c ip le x i n th e ra te -d e te r m in in g s te p w ith decom position t o th e s in g l e t d i r a d ic a l D ire c t i r r a d i a t i o n o f Hi hv R3 Ri- R2 JR4 ch3 ch3 X X xx ch3 ch3 c i s - and t r a n s -2 -b u te n e in th e liq u i d p h a se r e s u l t s in s te r e o s p e c if ic s i c y c lo d im e riz a tio n a ls o p o s s ib ly b y excim er fo rm a tio n.

42 The p h o t o frag m en tat io n o f cy clo b u tan es p re d ic te d by o r b i t a l symm etry c o n s id e ra tio n s t o b e an allow ed la 2 Q + CT2S] o r CCT2a + a 2a ] p ro c e ss is e x e m p lifie d by S a l t i e l 's in v e s tig a tio n o f two t r i c y c l i c cy clo b u ten es, and 5 2 The a u th o rs concluded t h a t th e ground s t a t e p ro d u c ts, J jl J5 S i & and 2 a r i s i n g from c i s isom er jjo "by c o n c erte d p ro c e sse s and tr a n s o l e f in ^ produced from w ere form ed d i r e c t l y by r e o rg a n iz a tio n o f e x c ite d cy clo b u ten e s. The e x c ite d s t a t e ch em istry o f b ic y c lo [ ^.2.0 ] o c ta d ie n e i s n o t am enable t o such a s tra ig h tfo rw a rd a n a ly s is as ev id en ced by th e r e s u l t s o f a t l e a s t s ix r e s e a rc h groups w hich have re p o rte d th e r e a c tio n. Both p o s s ib le fra g m e n ta tio n modes a r e o p e ra tiv e in th e p h o to frag m en tat i o n o f th e t r a n s -7,8 -d ia c e to x v d e r iv a tiv e B arto n o b serv ed s o le ly te tr a e n e p ro d u c t(s ) ( 5 7 ) from d ir e c t i r r a d i a t i o n o f and p ro p o sed a 1 ^ 5 > 5 -c y c lo o c ta trie n e in te rm e d ia te ( 56, no s te re o c h e m is try i s in p lie d

43 S3 f o r jj6 o r )j C aldw ell found no tr a c e o f te tr a e n e s upon s e n s itiz e d 50 p h o to ly s is o f and re p o rte d th e fo rm a tio n o f only benzene and a m ix- t u r e of c i s - and t r a n s -1,2 -a c e to x y e th y le n e s (5 8 ). 54 S in g le t p h o to ly s is,0ac AcO' OAc b OAc SL 7. OAc OAc OAc V. y~ -52 OAc c is j endo- 7, 8 -d im e th y l a ls o le d e x c lu s iv e ly t o a te tr a e n e, c is, tr a n s The b e n z o n itr ile 2 -m e th y l-2 -b u te n e p h o to p ro d u c t ( 6 l) when

44 31 i r r a d i a t e d under s in g l e t c o n d itio n s s u ffe re d cle a v a g e t o i t s o r ig in a l components and was su g g este d by B uchi t o occur v i a a p h o to e q u ilib riu m in v o lv in g a 1,4 d i r a d ic a l in te rm e d ia te (6 2 ). 56 C h a r a c te r iz a tio n o f th e sm all amount o f te tr a e n e s form ed ( 6^ ) was p re c lu d e d by extrem e i n s t a b i l i t y. F u rth e r exam ples o f th e r e a c tio n in c lu d e d i r e c t p h o to ly s is o f 57 [ ] p r o p e lla - 2,4,7 j9 te tr a e n e (63) and S c h ro e d e r's b u llv a le n e s y n th e s is. 58 hv s in g le t + H2 C ch2 & h v

45 RESULTS AND DISCUSSION When t h i s -work was i n i t i a t e d, virtually no r e p o r ts had appeared co n cern in g th e ste re o c h e m ic a l consequences o f th e rm a l o r p h o to ch em ical cy clo b u tan e cleav ag e r e a c tio n s. Of th e c o n s id e ra b le r e c e n t e f f o r t d ir e c te d tow ard th e th e rm a l fra g m e n ta tio n p ro c e s s, th e t e s t i n g o f c e r ta in p r e d ic tio n s a r i s i n g from o r b i t a l symmetry c o n s id e ra tio n s has re c e iv e d m ajor a t t e n t i o n. S in c e th e energy b a r r i e r f o r an allo w ed [ ] o S U u* r e a c tio n in v o lv in g a tw is te d t r a n s i t i o n s t a t e i s unknown, th e p o s s i b i l i t y e x is ts t h a t s e v e ra l exam ples o f t h i s r e a c tio n mode could be observed g iv en p ro p e r ste re o c h e m ic a l la b e lin g. r e a c tio n s has co n tin u ed a t an u n ab ated p a c e. The s e a rc h f o r such More r e c e n t e f f o r t s have b een d esig n ed t o f u r t h e r d eterm in e th e ch em ical c h a r a c t e r i s t i c s o f th e in te rm e d ia te te tra m e th y le n e s and have been augm ented by m o lecu lar o r b i t a l tre a tm e n ts o f ev er in c re a s in g s o p h is tic a tio n and r e l i a b i l i t y. T h is d i s s e r t a t i o n d e t a i l s p ro g re s s made tow ard c l a r i f i c a t i o n o f p o in ts a r i s i n g from th e l a t t e r c a te g o ry. The a v a i l a b i l i t y o f [ ] p r o p e lla - 3,1 1 -d ien e (6 4 ), th e p re p a ra - t i o n o f w hich was developed in th e s e la b o r a to r ie s by P h i l i p s, 5 9 a s a p o t e n t i a l p re c u rs o r t o v a rio u s d e r iv a tiv e s o f [ ] p r o p e lla - 2,4 - d ie n e ( 6 5 ) p re s e n te d a unique o p p o rtu n ity t o stu d y 1,4 d i r a d ic a l s. The in t r i n s i c s t r u c t u r a l f e a tu r e s o f 6^ w ere ex p ected t o p ro v id e ( l ) a p r e ponderance o f fra g m e n ta tio n in a s in g l e t d ir e c tio n, ( 2 ) a s u f f i c i e n t l y 32

c. What is the average rate of change of f on the interval [, ]? Answer: d. What is a local minimum value of f? Answer: 5 e. On what interval(s) is f

c. What is the average rate of change of f on the interval [, ]? Answer: d. What is a local minimum value of f? Answer: 5 e. On what interval(s) is f Essential Skills Chapter f ( x + h) f ( x ). Simplifying the difference quotient Section. h f ( x + h) f ( x ) Example: For f ( x) = 4x 4 x, find and simplify completely. h Answer: 4 8x 4 h. Finding the

More information

LSU Historical Dissertations and Theses

LSU Historical Dissertations and Theses Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1976 Infestation of Root Nodules of Soybean by Larvae of the Bean Leaf Beetle, Cerotoma Trifurcata

More information

LU N C H IN C LU D E D

LU N C H IN C LU D E D Week 1 M o n d a y J a n u a ry 7 - C o lo u rs o f th e R a in b o w W e w ill b e k ic k in g o ff th e h o lid a y s w ith a d a y fu ll o f c o lo u r! J o in u s fo r a ra n g e o f a rt, s p o rt

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

Grain Reserves, Volatility and the WTO

Grain Reserves, Volatility and the WTO Grain Reserves, Volatility and the WTO Sophia Murphy Institute for Agriculture and Trade Policy www.iatp.org Is v o la tility a b a d th in g? De pe n d s o n w h e re yo u s it (pro d uc e r, tra d e

More information

Form and content. Iowa Research Online. University of Iowa. Ann A Rahim Khan University of Iowa. Theses and Dissertations

Form and content. Iowa Research Online. University of Iowa. Ann A Rahim Khan University of Iowa. Theses and Dissertations University of Iowa Iowa Research Online Theses and Dissertations 1979 Form and content Ann A Rahim Khan University of Iowa Posted with permission of the author. This thesis is available at Iowa Research

More information

Class Diagrams. CSC 440/540: Software Engineering Slide #1

Class Diagrams. CSC 440/540: Software Engineering Slide #1 Class Diagrams CSC 440/540: Software Engineering Slide # Topics. Design class diagrams (DCDs) 2. DCD development process 3. Associations and Attributes 4. Dependencies 5. Composition and Constraints 6.

More information

MOLINA HEALTHCARE, INC. (Exact name of registrant as specified in its charter)

MOLINA HEALTHCARE, INC. (Exact name of registrant as specified in its charter) UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K Current Report Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report (Date of earliest event

More information

600 Billy Smith Road, Athens, VT

600 Billy Smith Road, Athens, VT 600 Billy Smith Road, Athens, VT Curtis Trousdale, Owner, Broker, Realtor Cell: 802-233-5589 curtis@preferredpropertiesvt.com 2004 Williston Road, South Burlington VT 05403 www.preferredpropertiesvt.com

More information

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C Form 8-K/A (Amendment No. 2)

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C Form 8-K/A (Amendment No. 2) UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 Form 8-K/A (Amendment No. 2) Current Report Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report

More information

The Effects of Apprehension, Conviction and Incarceration on Crime in New York State

The Effects of Apprehension, Conviction and Incarceration on Crime in New York State City University of New York (CUNY) CUNY Academic Works Dissertations, Theses, and Capstone Projects Graduate Center 1978 The Effects of Apprehension, Conviction and Incarceration on Crime in New York State

More information

EKOLOGIE EN SYSTEMATIEK. T h is p a p e r n o t to be c i t e d w ith o u t p r i o r r e f e r e n c e to th e a u th o r. PRIMARY PRODUCTIVITY.

EKOLOGIE EN SYSTEMATIEK. T h is p a p e r n o t to be c i t e d w ith o u t p r i o r r e f e r e n c e to th e a u th o r. PRIMARY PRODUCTIVITY. EKOLOGIE EN SYSTEMATIEK Ç.I.P.S. MATHEMATICAL MODEL OF THE POLLUTION IN NORT H SEA. TECHNICAL REPORT 1971/O : B i o l. I T h is p a p e r n o t to be c i t e d w ith o u t p r i o r r e f e r e n c e to

More information

THE BANK OF NEW YORK MELLON CORPORATION (Exact name of registrant as specified in its charter)

THE BANK OF NEW YORK MELLON CORPORATION (Exact name of registrant as specified in its charter) UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K CURRENT REPORT Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report (Date of earliest event

More information

B ooks Expans ion on S ciencedirect: 2007:

B ooks Expans ion on S ciencedirect: 2007: B ooks Expans ion on S ciencedirect: 2007: 1 INFORUM, 22-24 May, Prague Piotr Golkiewicz Account Manager Elsevier B.V. Email: p.golkiewicz@elsevier.com Mobile: +48 695 30 60 17 2 Pres entation Overview

More information

TTM TECHNOLOGIES, INC. (Exact Name of Registrant as Specified in Charter)

TTM TECHNOLOGIES, INC. (Exact Name of Registrant as Specified in Charter) Table of Contents UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, DC 20549 FORM 8-K CURRENT REPORT Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 November 15, 2006

More information

gender mains treaming in Polis h practice

gender mains treaming in Polis h practice gender mains treaming in Polis h practice B E R L IN, 1 9-2 1 T H A P R IL, 2 O O 7 Gender mains treaming at national level Parliament 25 % of women in S ejm (Lower Chamber) 16 % of women in S enat (Upper

More information

AGRICULTURE SYLLABUS

AGRICULTURE SYLLABUS Agriculture Forms 1-4.qxp_Layout 1 26/10/2016 12:29 PM Page 1 ZIMBABWE MInISTRY OF PRIMARY AnD SECOnDARY EDUCATIOn AGRICULTURE SYLLABUS FORM 1-4 2015-2022 Curriculum Development and Technical Services,

More information

A Study of Attitude Changes of Selected Student- Teachers During the Student-Teaching Experience.

A Study of Attitude Changes of Selected Student- Teachers During the Student-Teaching Experience. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1973 A Study of Attitude Changes of Selected Student- Teachers During the Student-Teaching Experience.

More information

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C FORM 8-K

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C FORM 8-K UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K CURRENT REPORT Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report (Date of earliest event

More information

A Comparison of Two Methods of Teaching Computer Programming to Secondary Mathematics Students.

A Comparison of Two Methods of Teaching Computer Programming to Secondary Mathematics Students. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1983 A Comparison of Two Methods of Teaching Computer Programming to Secondary Mathematics Students.

More information

Sodium-Initiated Polymerization of Alpha- Methylstyrene in the Vicinity of Its Reported Ceiling Temperature

Sodium-Initiated Polymerization of Alpha- Methylstyrene in the Vicinity of Its Reported Ceiling Temperature Western Michigan University ScholarWorks at WMU Dissertations Graduate College 8-1976 Sodium-Initiated Polymerization of Alpha- Methylstyrene in the Vicinity of Its Reported Ceiling Temperature Shuenn-long

More information

UNITED STATES SECURITIES AND EXCHANGE COMMISSION FORM 8-K. Farmer Bros. Co.

UNITED STATES SECURITIES AND EXCHANGE COMMISSION FORM 8-K. Farmer Bros. Co. UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K CURRENT REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934 Date of Report (Date of earliest event

More information

STEEL PIPE NIPPLE BLACK AND GALVANIZED

STEEL PIPE NIPPLE BLACK AND GALVANIZED Price Sheet Effective August 09, 2018 Supersedes CWN-218 A Member of The Phoenix Forge Group CapProducts LTD. Phone: 519-482-5000 Fax: 519-482-7728 Toll Free: 800-265-5586 www.capproducts.com www.capitolcamco.com

More information

UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, D.C FORM 8-K

UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, D.C FORM 8-K Table of Contents UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, D.C. 20549 FORM 8-K CURRENT REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934 DATE OF REPORT (DATE

More information

ANNUAL MONITORING REPORT 2000

ANNUAL MONITORING REPORT 2000 ANNUAL MONITORING REPORT 2000 NUCLEAR MANAGEMENT COMPANY, LLC POINT BEACH NUCLEAR PLANT January 1, 2000, through December 31, 2000 April 2001 TABLE OF CONTENTS Executive Summary 1 Part A: Effluent Monitoring

More information

University Microfilms

University Microfilms University Microfilms International * i---------------------------------------------------------- ----------------------- MICROCOPY RESOLUTION TEST CHART N ATIO NAL HI IH l A l l o t ST AN PAR P S II A

More information

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9 OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at

More information

Comparative Analyses of Teacher Verbal and Nonverbal Behavior in a Traditional and an Openspace

Comparative Analyses of Teacher Verbal and Nonverbal Behavior in a Traditional and an Openspace East Tennessee State University Digital Commons @ East Tennessee State University Electronic Theses and Dissertations June 1975 Comparative Analyses of Teacher Verbal and Nonverbal Behavior in a Traditional

More information

Functional pottery [slide]

Functional pottery [slide] Functional pottery [slide] by Frank Bevis Fabens A thesis submitted in partial fulfillment of the requirements for the degree of Master of Fine Arts Montana State University Copyright by Frank Bevis Fabens

More information

INCOME TAXES IN ALONG-TERMMACROECONOMETRIC FORECASTING MODEL. Stephen H. Pollock

INCOME TAXES IN ALONG-TERMMACROECONOMETRIC FORECASTING MODEL. Stephen H. Pollock INCOME TAXES IN ALONG-TERMMACROECONOMETRIC FORECASTING MODEL. by Stephen H. Pollock Dissertation submitted to the Faculty of the Graduate School of the University of Maryland in partial fulfillment of

More information

Feasibility Analysis, Dynamics, and Control of Distillation Columns With Vapor Recompression.

Feasibility Analysis, Dynamics, and Control of Distillation Columns With Vapor Recompression. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1981 Feasibility Analysis, Dynamics, and Control of Distillation Columns With Vapor Recompression.

More information

C o r p o r a t e l i f e i n A n c i e n t I n d i a e x p r e s s e d i t s e l f

C o r p o r a t e l i f e i n A n c i e n t I n d i a e x p r e s s e d i t s e l f C H A P T E R I G E N E S I S A N D GROWTH OF G U IL D S C o r p o r a t e l i f e i n A n c i e n t I n d i a e x p r e s s e d i t s e l f i n a v a r i e t y o f f o r m s - s o c i a l, r e l i g i

More information

NORWEGIAN MARITIME DIRECTORATE

NORWEGIAN MARITIME DIRECTORATE PAME Snap shot Analysis NORWEGIAN MARITIME DIRECTORATE PAME Snap Shot Analysis of Maritime Activities in the Arctic Revision No. 01 REPORT NO. 2000-3220 Page 1 PAME Snap shot Analysis Table of Contents

More information

The Construction and Testing of a New Empathy Rating Scale

The Construction and Testing of a New Empathy Rating Scale Western Michigan University ScholarWorks at WMU Master's Theses Graduate College 8-1980 The Construction and Testing of a New Empathy Rating Scale Gary D. Gray Western Michigan University Follow this and

More information

The Effects of Symbolic Modeling and Parent Training on Noncompliance in Hyperactive Children

The Effects of Symbolic Modeling and Parent Training on Noncompliance in Hyperactive Children Western Michigan University ScholarWorks at WMU Dissertations Graduate College 8-1985 The Effects of Symbolic Modeling and Parent Training on Noncompliance in Hyperactive Children George Kahle Henry Western

More information

TECHNICAL MANUAL OPTIMA PT/ST/VS

TECHNICAL MANUAL OPTIMA PT/ST/VS TECHNICAL MANUAL OPTIMA PT/ST/VS Page 2 NT1789 Rév.A0 TABLE OF CHANGES The information contained in this document only concerns : OPTIMA PT/ST/VS type, MCM 440 PT/OT type, MCM550 ST type. Technical Manual

More information

1980 Annual Report / FEDERAL R ESER V E BA N K OF RICHMOND. Digitized for FRASER Federal Reserve Bank of St.

1980 Annual Report / FEDERAL R ESER V E BA N K OF RICHMOND. Digitized for FRASER   Federal Reserve Bank of St. 1980 Annual Report / FEDERAL R ESER V E BA N K OF RICHMOND IS S N 0164-0798 L IB R A R Y OK C O N G R E SS C A T A L O G C A R D N U M B E R : 16-72o4 Additional <

More information

REFUGEE AND FORCED MIGRATION STUDIES

REFUGEE AND FORCED MIGRATION STUDIES THE OXFORD HANDBOOK OF REFUGEE AND FORCED MIGRATION STUDIES Edited by ELENA FIDDIAN-QASMIYEH GIL LOESCHER KATY LONG NANDO SIGONA OXFORD UNIVERSITY PRESS C o n t e n t s List o f Abbreviations List o f

More information

Rule-Governed Behavior in Preschool Children

Rule-Governed Behavior in Preschool Children Western Michigan University ScholarWorks at WMU Master's Theses Graduate College 12-1985 Rule-Governed Behavior in Preschool Children Cassandra Ann Braam Western Michigan University Follow this and additional

More information

Distributive Justice, Injustice and Beyond Justice: The Difference from Principle to Reality between Karl Marx and John Rawls

Distributive Justice, Injustice and Beyond Justice: The Difference from Principle to Reality between Karl Marx and John Rawls W CP 2 0 0 8 P ro c e e d in g s V o l.5 0 S o cia l a n d P o litic a l P h ilo s o p h y Distributive Justice, Injustice and Beyond Justice: The Difference from Principle to Reality between Karl Marx

More information

INFORMATION TO USERS

INFORMATION TO USERS INFORMATION TO USERS This material was produced from a microfilm copy of the original docum ent. While the m ost advanced technological means to photograph and reproduce this docum ent have been used,

More information

M a n a g e m e n t o f H y d ra u lic F ra c tu rin g D a ta

M a n a g e m e n t o f H y d ra u lic F ra c tu rin g D a ta M a n a g e m e n t o f H y d ra u lic F ra c tu rin g D a ta M a rc h 2 0 1 5, A n n a F ilip p o v a a n d J e re m y E a d e 1 W h a t is H y d ra u lic F ra c tu rin g? Im a g e : h ttp ://w w w.h

More information

M I E A T? Y A H 0E 3TE S

M I E A T? Y A H 0E 3TE S M I E A T? Y A H 0E 3TE S Corrgimi c a tod to the- Councl 1 and 1,'ombors ox the League 3/36456712247 p 9 AP t * no 1 Q A L» * O i-» m i. i O JL /» X T T i ttt.' n *7 T-T * n i T n TTi U U jj!.» -! 1 Uj.']

More information

Model Checking. Automated Verification of Computational Systems

Model Checking. Automated Verification of Computational Systems Model Checking Automated Verification of Computational Systems Madhavan Mukund T h e A C M T u r in g A w a r d fo r 2 0 0 7 w a s a w a r d e d t o C la r k e, E m e r s o n a n d S ifa k is fo r t h

More information

Xerox University Microfilms 300 North Zeeb Road Ann Arbor, Michigan INFORMATION TO USERS

Xerox University Microfilms 300 North Zeeb Road Ann Arbor, Michigan INFORMATION TO USERS INFORMATION TO USERS This material was produced from a microfilm copy of the original document. While the most advanced technological means to photograph and reproduce this document have been used, the

More information

Joh n L a w r e n c e, w ho is on sta ff at S ain t H ill, w r ite s :

Joh n L a w r e n c e, w ho is on sta ff at S ain t H ill, w r ite s : Minor Issue 168 S C I E N T O L O G Y A N D C H I L D R E N T h e r e a r e at p r e s e n t no b o o k s a v a ila b le on th e su b je c t of te a c h in g S c ie n to lo g y to c h ild r e n. A s th

More information

Compulsory Continuing Education for Certified Public Accountants: a Model Program for the State of Louisiana.

Compulsory Continuing Education for Certified Public Accountants: a Model Program for the State of Louisiana. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1975 Compulsory Continuing Education for Certified Public Accountants: a Model Program for the State

More information

A Comparison of the Early Social Behavior of Twins and Singletons.

A Comparison of the Early Social Behavior of Twins and Singletons. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1981 A Comparison of the Early Social Behavior of Twins and Singletons. Randall Louis Lemoine Louisiana

More information

Heider's Five Levels of Causality and Assignment of Responsibility by Actors and Observers.

Heider's Five Levels of Causality and Assignment of Responsibility by Actors and Observers. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1977 Heider's Five Levels of Causality and Assignment of Responsibility by Actors and Observers. David

More information

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, DC FORM 8-K. Current Report

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, DC FORM 8-K. Current Report UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, DC 20549 FORM 8-K Current Report Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report (Date of earliest event

More information

MONTHLY REVIEW. f C r e d i t a n d B u s i n e s s C o n d i t i o n s F E D E R A L R E S E R V E B A N K O F N E W Y O R K MONEY MARKET IN JUNE

MONTHLY REVIEW. f C r e d i t a n d B u s i n e s s C o n d i t i o n s F E D E R A L R E S E R V E B A N K O F N E W Y O R K MONEY MARKET IN JUNE MONTHLY REVIEW O f C r e d i t a n d B u s i n e s s C o n d i t i o n s F E D E R A L R E S E R V E B A N K O F N E W Y O R K V o l u m e 38 J U L Y 1956 No. 7 P re s su re s o n m e m b e r b a n k re

More information

McCormick & Company, Incorporated (Exact name of registrant as specified in its charter)

McCormick & Company, Incorporated (Exact name of registrant as specified in its charter) UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K CURRENT REPORT Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report (Date of earliest event

More information

Imitative Aggression as a Function of Race of Model, Race of Target and Socioeconomic Status of Observer.

Imitative Aggression as a Function of Race of Model, Race of Target and Socioeconomic Status of Observer. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1976 Imitative Aggression as a Function of Race of Model, Race of Target and Socioeconomic Status

More information

S ca le M o d e l o f th e S o la r Sy ste m

S ca le M o d e l o f th e S o la r Sy ste m N a m e ' D a t e ' S ca le M o d e l o f th e S o la r Sy ste m 6.1 I n t r o d u c t i o n T h e S olar System is large, at least w hen com pared to distances we are fam iliar w ith on a day-to-day basis.

More information

Response Rate, Latency, and Resistance to Change

Response Rate, Latency, and Resistance to Change Western Michigan University ScholarWorks at WMU Dissertations Graduate College 4-1981 Response Rate, Latency, and Resistance to Change Stephen Joseph Fath Western Michigan University Follow this and additional

More information

The Ability C ongress held at the Shoreham Hotel Decem ber 29 to 31, was a reco rd breaker for winter C ongresses.

The Ability C ongress held at the Shoreham Hotel Decem ber 29 to 31, was a reco rd breaker for winter C ongresses. The Ability C ongress held at the Shoreham Hotel Decem ber 29 to 31, was a reco rd breaker for winter C ongresses. Attended by m ore than 3 00 people, all seem ed delighted, with the lectu res and sem

More information

A Survey of the Aluminum Status of Some Soils in Louisiana.

A Survey of the Aluminum Status of Some Soils in Louisiana. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1977 A Survey of the Aluminum Status of Some Soils in Louisiana. Gilbert W. Landry Jr Louisiana State

More information

Table of C on t en t s Global Campus 21 in N umbe r s R e g ional Capac it y D e v e lopme nt in E-L e ar ning Structure a n d C o m p o n en ts R ea

Table of C on t en t s Global Campus 21 in N umbe r s R e g ional Capac it y D e v e lopme nt in E-L e ar ning Structure a n d C o m p o n en ts R ea G Blended L ea r ni ng P r o g r a m R eg i o na l C a p a c i t y D ev elo p m ent i n E -L ea r ni ng H R K C r o s s o r d e r u c a t i o n a n d v e l o p m e n t C o p e r a t i o n 3 0 6 0 7 0 5

More information

THE EFFECT Of SUSPENSION CASTING ON THE HOT WORKABILITY AND MECHANICAL PROPERTIES OF A IS I TYPE STAINLESS STEEL

THE EFFECT Of SUSPENSION CASTING ON THE HOT WORKABILITY AND MECHANICAL PROPERTIES OF A IS I TYPE STAINLESS STEEL THE EFFECT Of SUSPENSION CASTING ON THE HOT WORKABILITY AND MECHANICAL PROPERTIES OF A IS I TYPE 3 1 0 STAINLESS STEEL A LISTAIR GEORGE SANGSTER FORBES A D i s s e r t a t i o n s u b m i tte d t o th

More information

A new ThermicSol product

A new ThermicSol product A new ThermicSol product Double-Faced Thermo-Electric Solar-Panel TD/PV & Solar Tracker & Rotation Device An EU-patent protected product TP4-referens.pdf D o y o u w a n t to c o n v e rt it i n to G re

More information

The Measurement of Investment Center Managerial Performance Within Selected Diversified Industrial Firms: an Inquiry.

The Measurement of Investment Center Managerial Performance Within Selected Diversified Industrial Firms: an Inquiry. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1975 The Measurement of Investment Center Managerial Performance Within Selected Diversified Industrial

More information

University Microfilms INFORMATION TO USERS

University Microfilms INFORMATION TO USERS INFORMATION TO USERS.his dissertation was p ro d u ced from a m icrofilm copy of the original d o cu m en t m ile the most advanced technological m eans to photograph and reproduce this urgent have been

More information

GAMMA RAIS FROM THE S i2 9 (p, lf)p 30 REACTION DISSERTATION

GAMMA RAIS FROM THE S i2 9 (p, lf)p 30 REACTION DISSERTATION GAMMA RAIS FROM THE S i2 9 (p, lf)p 30 REACTION DISSERTATION P re s e n te d in P a r t i a l F u lf illm e n t o f th e R equirem ents f o r th e D egree D octor o f P h ilo so p h y i n th e G raduate

More information

Transverse curvature effects on turbulent boundary layers.

Transverse curvature effects on turbulent boundary layers. University of Windsor Scholarship at UWindsor Electronic Theses and Dissertations 4-1-1969 Transverse curvature effects on turbulent boundary layers. M. C. Joseph University of Windsor Follow this and

More information

w Twrnowmmw imiz&nm omsfmn of *9i«mauo

w Twrnowmmw imiz&nm omsfmn of *9i«mauo w Twrnowmmw imiz&nm omsfmn of *9i«mauo by Mur m y Mum T h e sis su b m itted to th e F a e u lty o f th e a ra d u a te School o f th e U n iv e rs ity o f M aryland in p a r t i a l f u l f i l I s o

More information

Country Report Government (Part I) Due: November 14, 2017

Country Report Government (Part I) Due: November 14, 2017 Country Report Government (Part I) Due: November 14, 2017 o The government has a total of three sections: government, flag, and national anthem. You will start by researching your government. o Step 1:

More information

Genetic Behavior of Resistance to Lodging in Sugarcane.

Genetic Behavior of Resistance to Lodging in Sugarcane. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1976 Genetic Behavior of Resistance to Lodging in Sugarcane. Howard Preston Viator II Louisiana State

More information

H STO RY OF TH E SA NT

H STO RY OF TH E SA NT O RY OF E N G L R R VER ritten for the entennial of th e Foundin g of t lair oun t y on ay 8 82 Y EEL N E JEN K RP O N! R ENJ F ] jun E 3 1 92! Ph in t ed b y h e t l a i r R ep u b l i c a n O 4 1922

More information

"IIIYESTIGAÏIOH lîœo IHE H^UHE OE COMPLEXES EOBMED BETWEEH OEGAÏÏIC ACIDS AND BASES IH AÎEOTIC SOiVEtlIS"

IIIYESTIGAÏIOH lîœo IHE H^UHE OE COMPLEXES EOBMED BETWEEH OEGAÏÏIC ACIDS AND BASES IH AÎEOTIC SOiVEtlIS "IIIYESTIGAÏIOH lîœo IHE H^UHE OE COMPLEXES EOBMED BETWEEH OEGAÏÏIC ACIDS AND BASES IH AÎEOTIC SOiVEtlIS" A T h e sis suhm itte d in f u lf ilm e n t o f th e re q u ire m e n ts f o r th e degree o f

More information

S U E K E AY S S H A R O N T IM B E R W IN D M A R T Z -PA U L L IN. Carlisle Franklin Springboro. Clearcreek TWP. Middletown. Turtlecreek TWP.

S U E K E AY S S H A R O N T IM B E R W IN D M A R T Z -PA U L L IN. Carlisle Franklin Springboro. Clearcreek TWP. Middletown. Turtlecreek TWP. F R A N K L IN M A D IS O N S U E R O B E R T LE IC H T Y A LY C E C H A M B E R L A IN T W IN C R E E K M A R T Z -PA U L L IN C O R A O W E N M E A D O W L A R K W R E N N LA N T IS R E D R O B IN F

More information

WSFS Financial Corporation (Exact name of registrant as specified in its charter)

WSFS Financial Corporation (Exact name of registrant as specified in its charter) UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K CURRENT REPORT Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 September 18, 2018 Date of Report

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

Use precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D

Use precise language and domain-specific vocabulary to inform about or explain the topic. CCSS.ELA-LITERACY.WHST D Lesson eight What are characteristics of chemical reactions? Science Constructing Explanations, Engaging in Argument and Obtaining, Evaluating, and Communicating Information ENGLISH LANGUAGE ARTS Reading

More information

I zm ir I nstiute of Technology CS Lecture Notes are based on the CS 101 notes at the University of I llinois at Urbana-Cham paign

I zm ir I nstiute of Technology CS Lecture Notes are based on the CS 101 notes at the University of I llinois at Urbana-Cham paign I zm ir I nstiute of Technology CS - 1 0 2 Lecture 1 Lecture Notes are based on the CS 101 notes at the University of I llinois at Urbana-Cham paign I zm ir I nstiute of Technology W hat w ill I learn

More information

A Study of Protein-A of Staphylococcus Aureus of Bovine Origin.

A Study of Protein-A of Staphylococcus Aureus of Bovine Origin. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1973 A Study of Protein-A of Staphylococcus Aureus of Bovine Origin. Joseph Woodrow Pankey Jr Louisiana

More information

VERITAS L1 trigger Constant Fraction Discriminator. Vladimir Vassiliev Jeremy Smith David Kieda

VERITAS L1 trigger Constant Fraction Discriminator. Vladimir Vassiliev Jeremy Smith David Kieda VERITAS L trigger Constant Fraction Discriminator Vladimir Vassiliev Jeremy Smith David Kieda Content Night Sky Background Noise Traditional Threshold Discriminator Constant Fraction Discriminator CFD:

More information

Computer Games as a Pedagogical Tool in Education. Ken Maher B.Sc. School of Computer Applications, Dublin City University, Glasnevin, Dublin 9.

Computer Games as a Pedagogical Tool in Education. Ken Maher B.Sc. School of Computer Applications, Dublin City University, Glasnevin, Dublin 9. Computer Games as a Pedagogical Tool in Education By Ken Maher B.Sc. School of Computer Applications, Dublin City University, Glasnevin, Dublin 9. / / Supervisor: Dr Micheál O heigeartaigh A Dissertation

More information

BIRLA ERICSSON OPTICAL LIMITED

BIRLA ERICSSON OPTICAL LIMITED OPTICAL LIMITED ANNUAL REPORT 2012-13 BOARD OF DIRECTORS MR.HARSH V. LODHA MR.D.R.BANSAL MR.MAGNUS KREUGER [ALTERNATE MR.DINESH CHANDA] MR.MATS O.HANSSON [ALTERNATE MR.S.K.DAGA] MR.R.C.TAPURIAH DR.ARAVIND

More information

An Economic Analysis of a Reserve Stock Program for Rice in the United States.

An Economic Analysis of a Reserve Stock Program for Rice in the United States. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1976 An Economic Analysis of a Reserve Stock Program for Rice in the United States. Francis Xavier

More information

A Quantitative and Qualitative Analysis of Racial Employment Discrimination in Louisiana:

A Quantitative and Qualitative Analysis of Racial Employment Discrimination in Louisiana: Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1973 A Quantitative and Qualitative Analysis of Racial Employment Discrimination in Louisiana: 1950-1971.

More information

T h is dissertation has been 65 13,214 m icrofilm ed exactly as received

T h is dissertation has been 65 13,214 m icrofilm ed exactly as received T h is dissertation has been 65 13,214 m icrofilm ed exactly as received CORINO, Edward Robert, 1936- A VISUAL INVESTIGATION OF THE WALL REGION IN TURBULENT FLOW. The Ohio State U niversity, Ph.D., 1965

More information

TECH DATA CORPORATION (Exact name of registrant as specified in its charter)

TECH DATA CORPORATION (Exact name of registrant as specified in its charter) UNITED STATES SECURITIES AND EXCHANGE COMMISSION WASHINGTON, D.C. 20549 FORM 8-K CURRENT REPORT PURSUANT TO SECTION 13 OR 15 (d) OF THE SECURITIES EXCHANGE ACT OF 1934 Date of Report (Date of earliest

More information

Status of industrial arts teaching in Montana high schools with enrollments of from forty to one hundred fifty students in 1950

Status of industrial arts teaching in Montana high schools with enrollments of from forty to one hundred fifty students in 1950 University of Montana ScholarWorks at University of Montana Graduate Student Theses, Dissertations, & Professional Papers Graduate School 1952 Status of industrial arts teaching in Montana high schools

More information

Let us know how access to this document benefits you. Follow this and additional works at:

Let us know how access to this document benefits you. Follow this and additional works at: University of Montana ScholarWorks at University of Montana Graduate Student Theses, Dissertations, & Professional Papers Graduate School 1976 A comparison of the effects of command and guided discovery

More information

Structure and metabolism of cuticular lipids of the grasshopper melanoplus sanguinipes

Structure and metabolism of cuticular lipids of the grasshopper melanoplus sanguinipes Structure and metabolism of cuticular lipids of the grasshopper melanoplus sanguinipes by Gary James Blomquist A thesis submitted to the Graduate Faculty in partial Fulfillment of the requirements for

More information

An Exploration of the Relationship among Rhetorical Sensitivity, Communication Apprehension, and Nonverbal Decoding Ability

An Exploration of the Relationship among Rhetorical Sensitivity, Communication Apprehension, and Nonverbal Decoding Ability Western Michigan University ScholarWorks at WMU Master's Theses Graduate College 8-1982 An Exploration of the Relationship among Rhetorical Sensitivity, Communication Apprehension, and Nonverbal Decoding

More information

The Effects of Training, Goal Setting, and Knowledge of Results on Safe Behavior: a Component Analysis.

The Effects of Training, Goal Setting, and Knowledge of Results on Safe Behavior: a Component Analysis. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1982 The Effects of Training, Goal Setting, and Knowledge of Results on Safe Behavior: a Component

More information

University Micrdfilms International 300 N. Z e e b Road Ann Arbor, Ml INFORMATION TO USERS

University Micrdfilms International 300 N. Z e e b Road Ann Arbor, Ml INFORMATION TO USERS INFORMATION TO USERS This reproduction was made from a copy o f a docum ent sent to us for microfilming. While the m ost advanced technology has been used to photograph and reproduce this docum ent, the

More information

NUMERICAL SIMULATION OF MHD-PROBLEMS ON THE BASIS OF VARIATIONAL APPROACH

NUMERICAL SIMULATION OF MHD-PROBLEMS ON THE BASIS OF VARIATIONAL APPROACH NUMERICAL SIMULATION OF MHD-PROBLEMS ON THE BASIS OF VARIATIONAL APPROACH V.M. G o lo v izn in, A.A. Sam arskii, A.P. Favor s k i i, T.K. K orshia In s t it u t e o f A p p lie d M athem atics,academy

More information

MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION

MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (ISO/IEC - 7-5 Certiied) Page No: /6 WINTER 5 EXAMINATION MODEL ANSWER Subject: ENGINEERING MATHEMATICS (EMS) Subject Code: 76 Important Instructions to eaminers: The model answer shall be the complete

More information

Dentists incomes, fees, practice costs, and the Economic Stabilization Act: to 1976

Dentists incomes, fees, practice costs, and the Economic Stabilization Act: to 1976 HE A S S O C IA T IO N Dentists incomes, fees, practice costs, and the Economic Stabilization Act: 19 52 to 1976 B u r e a u o f E c o n o m ic a n d B e h a v io r a l R e s e a r c h D a r i n g th e

More information

Applied Tape Techniques for Use With Electronic Music Synthesizers.

Applied Tape Techniques for Use With Electronic Music Synthesizers. Louisiana State University LSU Digital Commons LSU Historical Dissertations and Theses Graduate School 1974 Applied Tape Techniques for Use With Electronic Music Synthesizers. Robert Bruce Greenleaf Louisiana

More information

CHAPTER 6 SUMMARV, m a in FINDIN6S AND C0NCUL5I0NS

CHAPTER 6 SUMMARV, m a in FINDIN6S AND C0NCUL5I0NS CHAPTER 6 SUMMARV, m a in FINDIN6S AND C0NCUL5I0NS 6.1; AFRICA AND SOUTHERN AFRICA Africa was the world's first continent where not only man evolved but also the human civilization. It is the largest continent

More information

Sub: Filing of Reconciliation of share capital for the quarter ended September 30, 2018

Sub: Filing of Reconciliation of share capital for the quarter ended September 30, 2018 I N D I A Tl F in an c ial H o ld in g s L im ite d (F o rm e rly k n o w n as T u b e In v e s tm e n ts o f In d ia L im ite d ) Dare House, 234, N.S.C. Bose Road, Chennai 600 001, India Tel: 91.44.4217

More information

Algebraic Methods in Plane Geometry

Algebraic Methods in Plane Geometry Algebraic Methods in Plane Geometry 1. The Use of Conic Sections Shailesh A Shirali Shailesh Shirali heads a Community Mathematics Center at Rishi Valley School (KFI). He has a deep interest in teaching

More information

Changes in peer conformity across age on normative and informational tasks

Changes in peer conformity across age on normative and informational tasks University of Nebraska at Omaha DigitalCommons@UNO Student Work 11-1972 Changes in peer conformity across age on normative and informational tasks Susan C. Wright University of Nebraska at Omaha Follow

More information

A study of the suspension effect observed in a Dowex-50 - water system

A study of the suspension effect observed in a Dowex-50 - water system A study of the suspension effect observed in a Dowex-50 - water system by John Edward Robbins A THESIS Submitted to the Graduate Faculty in partial fulfillment of the requirements for the degree of Master

More information

Vlaamse Overheid Departement Mobiliteit en Openbare Werken

Vlaamse Overheid Departement Mobiliteit en Openbare Werken Vlaamse Overheid Departement Mobiliteit en Openbare Werken Waterbouwkundig Laboratorium Langdurige metingen Deurganckdok: Opvolging en analyse aanslibbing Bestek 16EB/05/04 Colofon Ph o to c o ve r s h

More information

Visceral mass and reticulorumen volume of differing biological types of beef cattle by Eddie L Fredrickson

Visceral mass and reticulorumen volume of differing biological types of beef cattle by Eddie L Fredrickson Visceral mass and reticulorumen volume of differing biological types of beef cattle by Eddie L Fredrickson A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science

More information

heliozoan Zoo flagellated holotrichs peritrichs hypotrichs Euplots, Aspidisca Amoeba Thecamoeba Pleuromonas Bodo, Monosiga

heliozoan Zoo flagellated holotrichs peritrichs hypotrichs Euplots, Aspidisca Amoeba Thecamoeba Pleuromonas Bodo, Monosiga Figures 7 to 16 : brief phenetic classification of microfauna in activated sludge The considered taxonomic hierarchy is : Kingdom: animal Sub kingdom Branch Class Sub class Order Family Genus Sub kingdom

More information