Use of ion clustering equilibrium for isomer identification in electron capture mass spectrometry by Lisa A Krieger A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Chemistry Montana State University © Copyright by Lisa A Krieger (1987) Abstract: This work explores the possibility of isomer distinction by taking advantage of unique solvation equilibrium constants for the clustering of ions with neutral solvating molecules. Each isomer would exhibit a unique ratio of MS-/M- from a mass spectrum of the compound and the solvating molecule which could theoretically be predicted if the equilibrium constant and the solvating molecule concentration are known. This is assuming that equilibrium exists in the source, which is shown to be true for the atmospheric pressure ionization source. A number of substituted nitrobenzenes were tested with dimethylsulfoxide (DMSO) as the neutral solvating molecule. These experiments showed that the method has promise, but is not as straightforward as the theory predicts. An attempt was made to mathematically describe the observed deviations from expectation. This resulted in an expression that closely described the system, but could not calculate the reference value of Kf. USE OF ION CLUSTERING EQUILIBRIUM FOR ISOMER IDENTIFICATION IN ELECTRON CAPTURE MASS SPECTROMETRY by L i s a A. K r i e g e r A th e s i s subm itted in p a r t i a l f u lf i llm e n t of th e req u ire m en ts fo r th e degree of M aster o f Science in C hem istry MONTANA STATE UNIVERSITY B o zem an, M o n ta n a March 1987 MAIN UE Oo^, J ii APPROVAL o f a t h e s i s s u b m i t t e d by L i s a A. K r i e g e r T h i s t h e s i s h a s b e e n r e a d by e a c h m e m b e r o f t h e t h e s i s c o m m i t t e e an d h a s b e e n f o u n d t o be s a t i s f a c t o r y r e g a r d i n g c o n te n t, E nglish usage, form at, c i t a t i o n s , b ib lio g ra p h ic s ty le , a n d c o n s i s t e n c y , an d i s r e a d y f o r s u b m i s s i o n t o t h e C o l l e g e o f G rad u ate S tudies. lA /ll Date ’ / C h a ir p e r s o n , G ra d u a te Com m ittee Approved f o r th e M ajor D epartm ent %7 D ate 7 Head, Major D e p a rtm e n t Approved f o r t h e C o lle g e o f G ra d u a te S t u d i e s Date Z G r a d u a t e Dean iii STATEMENT OF PERMISSION TO USE In p r e s e n tin g re q u ire m e n t's th is thesis in p a r t i a l fo r a m a ste r's degree a t f u l f i l l m e n t of the Montana S t a t e U niversity, I a g r e e t h a t t h e L i b r a r y s h a l l make i t a v a i l a b l e t o b o r r o w e r s under ru le s of th e L ibrary. B r ie f q u o ta tio n s from t h i s thesis are a llo w ab le w ith o u t s p e c ia l perm issio n , provided th a t ac c u ra te acknowledgement o f s o u r c e i s made. P e r m i s s i o n f o r e x t e n s i v e q u o t a t i o n from o r r e p r o d u c t i o n o f t h i s t h e s i s may be g r a n t e d b y my m a j o r p r o f e s s o r , o r in h i s / h e r a b s e n c e , b y t h e D i r e c t o r o f L i b r a r i e s w hen, i n t h e o p i n i o n o f e i t h e r , th e proposed use of th e m a te r ia l is purposes. for sch o larly Any c o p y i n g o r u s e o f t h e m a t e r i a l in t h i s f i n a n c i a l g a i n s h a l l n o t be a l l o w e d w i t h o u t my w r i t t e n perm ission. th esis for iv TABLE OF CONTENTS Page LIST OF TABLES ..................................................................................................... ■ v LIST OF FIGURES .................. ............ ......................... .............. '..................................... vi ABSTRACT......................................................................................... v iii INTRODUCTION ........................................................................................................................ I STATEMENT OF THE PROBLEM ......................................................................................... 6 CHEMICAL DYNAMICS ........................................................................................................... I EXPERIMENTAL...................................................................................... '..............' .............. 12 CALCULATION OF EXPECTED Kf VALUES .............................................................. 23 RESULTS ......................................... 26 SUMMARY............................................................................ 58 LITERATURE CITED 61 V LIST OF TABLES T able Page 1. KfK V a l u e s f o r Compounds a t 7 0°C .......................... ................................... 2. C a lc u la te d V alues o f . ........................................................................ 24 3. I o n I n t e n s i t i e s a n d R V a l u e s f o r m-CFgNB/O.38 t o r r DMSO . 32 4. S c a n Number a n d R a t i o s f o r o-diNB/MeOH ............................................. 34 5. S c a n Number and R a tio s f o r m - d i N B / M e O H ............................................. 35 6. S c a n Number a n d R a t i o s f o r p-diNB/MeOH ............................................ 35 7. P e a k A r e a s a n d R a t i o s f o r Some F l u o r i n a t e d N i t r o b e n z e n e s 8. R e s u l t s o f P u l s e and R e s o l u t i o n E x p e r im e n ts f o r p-CNNB/DMSO ............. ....................................................................................... -____ 36 ' 39 9. C o n c e n t r a t i o n E f f e c t on t h e R a t i o o f 10. C o m p a r i s o n o f Kr c a ^c a n d K^ k f o r Some F l u o r o n i t r o b e n z e n e s f r o m E q u a t i o n 29 .................................... 47 C o m p a r i s o n o f Kfc a ^c a n d Kf K f o r Some F l u o r i n a t e d N i t r o b e n z e n e s f r o m E q u a t i o n 30 ..................... 57 11. [MS“ ] / [ M ~ ] ......... 3 40 vi LIST OF FIGURES F igure Page 1. F i r s t B u b b l e r ................................................... •.................................................... 14 2. S e c o n d B u b b l e r ......................................................................................... 15 3. ECD S o u r c e o f Mass S p e c t r o m e t e r w i t h F r o n t F l a n g e ..................................................... 17 4. B l o c k D i a g r a m o f I n s t r u m e n t ........................................ 18 5. S a m p l e o f DIM P r i n t o u t 19 6. DIM C i r c u i t ....................... 20 7. I o n S c a n o f m-CFgNB a n d DMSO .................................................................. 28 8. I o n S c a n o f m-CFgNB a n d M e O H .................................................................. 29 9. I o n S c a n o f o-NT w i t h an d w i t h o u t M e O H ............ .............................. 30 10. I o n S c a n o f m-NT w i t h a n d w i t h o u t M e O H ................' ........................ 30 11. I o n S c a n o f p-NT w i t h a n d w i t h o u t MeOH ........................................... 31 12. ....................... * ...................... ................................ . MeOH a n d DMSO B a c k g r o u n d S c a n s ................................................ 31 13. In ten sity vs. S c a n Number f o r m-CFgNB/MeOH................* ............ 33 14. I n te n s i ty vs. S c a n Number f o r m-CFgNB/DMSO............................... 34 15. S ingle Ion M onitor o f M- a n d MS- f o r o - F N B / D M S O ................... 37 16. S ingle Ion M onitor o f M- a n d MS~ f o r m-FNB/DMSO................... 37 17 . S ingle Ion M onitor o f M” a n d MS- f o r p - F N B / D M S O ................... 38 18. S ingle Ion M onitor o f M“ a n d MS” f o r m-CFgNB/DMSO .............. 38 19. Ln K v s . 1 / T f o r V a r i o u s I o n E n e r g i e s , a n d f o r C a l c u l a t e d P o i n t s f r o m K e b a r l e 1s D a t a .............. .............................. 41 Com parison o f v s . [S] f o r O r i g i n a l a n d I m p r o v e d B u b b l e r s ................................................... ...................... .. 43 20. 21. v s . [S] f o r m a n d p-OCHgNB ................................................................ 44 v ii 22 . Kf v s . [S] f o r p-CNNB .................................................................................... 23. G e n e r a t e d P l o t o f Kg v s . 24. [S] 45 f r o m E q u a t i o n 29 ........................... 48 1A 6 Xp v s * [S] f o r m a n d p-OCHgNB w i t h DMSO ...................... . . 49 25. 1A exp v s . [S] f o r p-CNNB w i t h DMSO......................... 50 26. 1A exp v s . [S] o - , m - , a n d p-FNB w i t h DMSO........................... 27. 1/R v s . I / [S] f o r m- a n d p-OCHgNB w i t h DMSO............................. 53 28. 1/R v s . 1/[S] f o r m- a n d p-FNB w i t h DMSO.................................... 54 29. 1/R v s . 1/[S ] f o r p-CNNB w i t h DMSO................................................ 55 30 . 1/R v s . I / [ S ] f o r S o l v a t i o n . by Two M o l e c u l e s o f EMSO 51 56 viii ABSTRACT T h i s w o r k e x p l o r e s t h e p o s s i b i l i t y o f i s o m e r d i s t i n c t i o n by ta k in g advantage of u n ig u e s o l v a t i o n e g u i l i b r i u m c o n s t a n t s f o r th e c lu s te r in g of ions w ith n e u tra l so lv a tin g m olecules. Each i s o m e r w o u l d e x h i b i t a u n i q u e r a t i o o f MS- / M ~ f r o m a m a s s s p e c t r u m o f t h e com po u nd a n d t h e s o l v a t i n g m o l e c u l e w h i c h c o u l d t h e o r e t i c a l l y be p r e d i c t e d i f t h e e q u i l i b r i u m c o n s t a n t and t h e s o l v a t i n g m o l e c u l e c o n c e n t r a t i o n a r e known. T h is i s assum ing t h a t e q u i l i b r i u m e x i s t s i n t h e s o u r c e , w h i c h i s s h o w n t o be. t r u e f o r th e atm o sp h eric p r e s s u r e io n i z a ti o n source. A number o f s u b s t i t u t e d n i tro b e n z e n e s w ere t e s t e d w ith d i m e t h y l s u l f o x i d e (DMSO) a s t h e n e u t r a l s o l v a t i n g m o l e c u l e . These e x p e r i m e n t s showed t h a t t h e method h as p r o m i s e , b u t i s n o t as s tra ig h tfo rw a rd as th e theory p re d ic ts . An a t t e m p t was m a d e to m a th e m a tic a lly d e s c r ib e th e o b se rv e d d e v ia tio n s from ex p ectatio n . T h is r e s u l t e d i n an e x p r e s s i o n t h a t c l o s e l y d e sc rib e d th e sy stem , but could not c a lc u la te th e re fe re n c e v alu e o f Kf . I INTRODUCTION One o f t h e m o s t s e n s i t i v e analysis tw o d etectio n te ch n iq u es for i s e l e c t r o n - c a p t u r e m a s s s p e c t r o m e t r y (ECMS). ro u tes resonance captured the electro n -ca p tu re electro n capture, by a m o l e c u l e t o process w here can There a re take. a th e rm alized trac e One is electro n is form th e m o l e c u l a r a n i o n , as sh o w n by r o u t e la below . The o t h e r i s d i s s o c i a t i v e e l e c t r o n c a p t u r e , a s shown lb , by ro u te m o lecu la r anion as w hich it in v o lv es the d isso ciatio n of the cap tu res the electro n . MX- (1) MX + e - ( t h e r m a l ) M + XECMS i s a sen sitiv e technique compared t o re a c tio n s because e le c tro n -c a p tu re o th er i s one o f th e f a s t e s t i o n i c r e a c t i o n s , havinq a r a t e c o n s t a n t , ke c , up t o 4 x 10“ Ion-m olecule are c m 9/ s e c , w hich cap tu re. no the is The sen sitiv ity . process reactio n s tw o o r d e r s speed The analyte fragm entation. of o th er no faster than reason is is one th a t in form s, th e m o le c u la r ion, Thus, id en tificatio n m o n i to r e d from t h e same s i g n a l . cm / s e c . k jy m = I x o f m aqnitude slo w e r reac tio n io n izatio n than reason th e M- , IO-9 electron for ECMS resonance w ith little and q u a n t i t a t i o n can EC or be W i t h o n l y M~ b e i n g f o r m e d , t r a c e 2 am ounts are d etectab le sin ce c o n c e n t r a t e d o n o n e i o n , M- . alth o u g h i t p ro v id es only m olecule, it is in th e w hich im possible to d is tin g u is h if and co-w orkers m olecular anions by n e u t r a l aceto n itrile, so lv ato r, have is present. of Since th e isom ers are an aly sis, isom ers atom s in id e n tica l, b e tw e e n them w i t h it the thus electro n - been stu d y in g the solv atio n of m o lecu le s such as d im e th y l s u l f o x id e , S, The m o l e c u l a r to ion, form a c l u s t e r re a c tio n re q u ire s a b u ffe r gas, M- , io n , B, t o c o l l i s i o n a l l y c l u s t e r ion so i t does n o t im m e d ia te ly f a l l a p a r t . of reactio n sig n al t h e s i g n a l i s M- . and m e th a n o l.1 by t h e n e u t r a l av ailab le for trac e o rien tatio n tw o o r more c a p t u r e mass s p e c t r o m e t r y K ebarle sig n als isom er i s p h y sical th e m asses of to tal T h e o n e p r o b l e m w i t h ECMS i s t h a t sen sitiv e o f te n does not i n d i c a t e d iffer th e is solvated MS- . stab ilize T his the The r e v e r s e 2 a lso occurs. (2) M- + S ----> M S - *— § — =» MS- The e q u i l i b r i u m e x p r e s s i o n f o r t h e s o l v a t i o n o f M- by S i s : ( 3) Kf = [MS- ] I mtTIsT and th e n : (4) Kf [S] = [MS- ] [M- ] . 3 A c c o r d i n g t o K e b a r l e , 1 t h e Kf v a l u e s v a r y b e t w e e n i s o m e r s f o r su b stitu ted com pounds n itro b en zen es and th e ir (NB). resp ectiv e compounds, m e th a n o l, a c e t o n i t r i l e Table I. Compound compound, Kf I sh o w s some o f t h e s e values for th e so lv atin g and d i m e t h y l s u l f o x i d e . Kf K V a l u e s f o r Compounds a t 7 O0 C CH3OH CH3CN DMSO O-FNB iH in Since T able m-FNB 3. 6 x IO3 6 .5 x 103 9 . 8 x IO4 p-FNB 7 . 0 x IO 3 1 .0 x 104 1 .6 x IO5 o-diNB 1 . 3 x IO2 1 . 2 x IO3 8 . 9 x IO 3 m-diNB 2 . 5 x IO 2 5 . 2 x IO2 5 . 3 x IO3 p-diNB 3 . 0 x IO1 1 . 0 x IO2 6 . 6 x IO2 Kf the is x IO 3 d ep en d e n t upon value [MS- ] / [ M ~ ] accordance w ith e q u a tio n 4. isom eric d iffe re n c e s s h o u ld change w i t h the of a given isom er in T his s o lv a tio n e q u i lib r i u m could th e n be a p p lie d to a n a l y t i c a l m ass s p e c tr o m e tr y assum ing f i v e co n d itio n s: 4 1. The e q u i l i b r i u m c o n s t a n t s o f t h e i s o m e r s m u s t n o t be e q u a l , 2. S, the ie. Ko r t h o + Km e t a f Kp a r a so lv a tin g m olecule, must not c a p tu re electro n s. 3. S m u s t be a good s o l v a t o r o f n e g a t i v e io n s so t h a t MS” a s w e l l a s M- i s o b s e r v a b l e . 4. The s y s t e m m u st be in e q u i l i b r i u m so t h a t Kg [S] = [MS- ] / [ M - ] = CONSTANT. 5. The m a s s s p e c t r o m e t e r m u s t a c c u r a t e l y m e a s u r e [MS- ] / [ M - ] . C o ndition nitro b en zen es met by #1 has been choosing an ap p ro p ria te sp ectru m . also C o n d itio n eq u ilib riu m . type of It for C onditions so lv en t, su b stitu ted #2 a n d m o lecu le #3 a r e such as value to g iv e observable s ig n a ls f o r both g ive sta te s W h e th e r o r not. t h i s io n iz a tio n system tru e larg e m ust n o t #4 be th a t has a s u f f ic ie n tly the an aly te o f i n t e r e s t M- a n d MS- . to as d e sc rib e d p re v io u sly . d i m e t h y l s u l f o x i d e (DMSO), w ith shown th at a sig n ifican t the is tru e ; background system m ust be in w i l l d e p e n d on w h a t i s c h o s e n t o work w i t h . ; Two p o s s i b l e i • I c h o i c e s a r e n e g a t i v e c h e m i c a l i o n i z a t i o n (NCI) a n d a t m o s p h e r i c pressure i o n i z a t i o n (API). I By a n a l y z i n g t h e c h e m i c a l d y n a m i c s o f th e r e a c t i o n s in b o th s y s te m s , one o f th e s e tu r n s o u t to be th e . more l i k e l y system p lace. I I 1 \ 'i in w hich th e s o l v a t i n g e q u i lib r i u m w ill take ; i I ; I' )i 5 C o n d i t i o n #5 r e q u i r e s m easures the co n d itio n through ratio , R, t h a t t h e mass s p e c t r o m e t e r a c c u r a t e l y of may b e d i f f i c u l t th e apertu re in to [MS- ] / [ M - ] to m eet, the m ass as in th e th e source. T his tra n sp o rt of an aly zin g reg io n ions may b e a c c o m p a n i e d b y c o l l i s i o n s w h i c h c o u l d d i s s o c i a t e MS- . 2 in th e APIMS e x t r e m e p r e s s u r e a n d t e m p e r a t u r e g r a d i e n t s e x i s t in th e region of the a p e rtu re w h i c h , may a l s o a l t e r the a c tu a l value o f R th a t is in th e source. th e o b serv ed R from 6 STATEMENT OF THE PROBLEM As s h o w n i n t h e in tro d u ctio n , may b e p o s s i b l e u s i n g a neutral the s o lv a tin g m olecule. should have a c h a r a c t e r i s t i c r a t i o o f d ifferen t The described id e n tificatio n of isom ers E ac h i s o m e r [MS- ] / [ M - ] , s t e m m i n g f r o m a Kf v a l u e . purpose in the of th is research in troduction to see is if to explore the solvation the m ethod eq u ilib ria m e t h o d w o r k s a n d t h e t h e o r y h o l d s u n d e r c o n d i t i o n s o f a n a l y s i s by GC/ECMS. The e q u i l i b r i u m com pared to achieved. expected If th ere b e tw e e n tw o v alues are any to io n s w i l l be exam ined and determ in e d ev iatio n s a t t e m p t w i l l b e m ad e t o e x p l a i n t h e m . if from eq u ilib riu m is the an theory, I CHEMICAL DYNAMICS The f o u r t h c o n d i t i o n n e c e s s a r y f o r d i s t i n g u i s h i n g so lv atio n eq u ilib ria, th a t of req u irin g i s o m e r s by eq u ilib riu m , can be t h e o r e t i c a l l y e x a m in e d by p r e d i c t i n g t h e c h e m i c a l d y n a m ic s i n t h e ion source. reduce to The e q u a t i o n s o b t a i n e d Kj= [S] = [MS- ] / [ M “ ] , if from t h e s e p r e d i c t i o n s s h o u ld equilibrium is achieved in the source. The i o n a n d e l e c t r o n r e a c t i o n s shown i n r e a c t i o n s such as B and reactio n s 5 - 1 2 P+ m ay as w r itte n below . d iffer occur i n NCI a n d API a r e s i m i l a r a s The i d e n t i t i e s betw een API o f some s p e c i e s and f o r b o th m ethods. NCI, but th e A m ore d e t a i l e d d e s c r i p t i o n o f h ow t h e NCI i o n i z a t i o n s o u r c e w o r k s i s g i v e n by. H arriso n .3 T h e A P I s o u r c e i s d e s c r i b e d b y McKeown a n d S i e g e l . 4 The f o l l o w i n g source. r e a c t i o n s d e s c r i b e w hat i s happening w i t h i n e i t h e r P+ m eans a n y p o s i t i v e th e v o lu m e tric flow r a t e of the source, io n , th e r a te co n stan t, F/V , i s t h r o u g h t h e s o u r c e d i v i d e d by t h e v o l u m e and t h e d i f f u s i o n c o n s t a n t , DyZr0 3 , i s d e p e n d e n t on t h e g e o m e t r y o f t h e s o u r c e . w i l l be g i v e n a n u m e r i c a l v a l u e l a t e r . is a value th a t T his r a t e c o n s ta n t A ll of th e r a t e c o n s ta n ts have been chosen to p r e s e n t th e m ost fa v o ra b le case. 8 Form ation R eactio n s (5) M + e —^M ke c = 4 x 10 7 c c / s e c (6) M- + S + B - ^ M S - + B k S0 I = 1 * 5 IO- 2 7 c c 3/ s e c Loss R e a c tio n s (7) MS- + B—>M + S + (8) M- + P +---- > NEUTRALS (9) MS- + (10) e- (ID ALL i o n s , rad icals, (12) ALL i o n s , e t c . -----^DIFFUSION TO WALLS B —> NEUTRALS R^ d e p e n d s on p r e s s u r e 3 t P+----- => NEUTRALS From t h e ‘ R0 _ = 8 x IO- 7 c c / s e c n e u t r a l s — >VENT above e q u a t i o n s , 3 k = F /V k = D /r an e x p r e s s io n can be w r i t t e n for t h e p r o d u c t i o n o f MS- w i t h t i m e : (13) d [MS- ] / d t = k g o l [M "][S][B] - k _ s o l [MS- ] [B] - Ri [MS~] [P+ ] - The s t e a d y s t a t e th is approxim ation, [F/V] [MS- ] - d [ M S - ] / d t = 0, [ D / r 0 2 ] [MS- ] may b e a p p l i e d f l o w - t h r o u g h r e a c t o r i n w h ic h m ix in g by d i f f u s i o n more r a p i d than v e n t i l a t i o n through 13 e q u a l t o z e r o a n d r e a r r a n g i n g , the c e ll. resu lts S etting in e q u a tio n 14: to i s much equation (14) C ondition [MS~] [M I k^ [ S ] [ B ] k - s o l LB] + ____________ + F/V + W r 0 2 four s t a t e s : (15) E q u atio n term s = 14 c a n [MS-1 [MT] = Kf [S] reduce to eq u atio n in th e d e n o m in a to r, w ith resp ect to the f i r s t 15 o n l y if the la st th ree R [P + ] + F/V + D / r 0 ^, a r e n e g l i g i b l e term , k _ s o -L[B]. U s i n g t h e f o l l o w i n g t y p i c a l NCI v a l u e s f o r t h e p a r a m e t e r s t h e d e n o m i n a t o r o f e q u a t i o n 14: kg ol = I x IO- 2 7 c c / s e c [S ] = 2 x 10-*•5 CC- "*• ( a t 0 . 1 T o r r ) [B] = 2 x I O 16 c c - 1 = 6.4 x 1 0 (a t 2. T o r r ) cc/sec ® [P+] = 3 x IOlO c c - "*F/V D = 100 s e c --*" ( l O O c c / s e c / c c ) = 1 00 c m 2 / s e c ( a t I T o r r ) ^ r 02 k_s o i = 0.02 cm2 5 = 1.7 x 1 0 “ 12 c c / s e c (The v a l u e for k_ g o 2 was c a l c u l a t e d fro m Eq. 14 u s i n g t h e above v a l u e s and a s s u m in g an o b s e r v a b l e r a t i o of I.) From t h e v a l u e s g i v e n : k - s o l [B] = 3.4 x IO4 R [ P + ] + F /V + D / r 0 2 = 7.0 x IO 3. in 10 The sum o f t h e l a s t t h r e e t e r m s o f t h e d e n o m i n a t o r , to r e c o m b i n a t i o n , v e n t i l a t i o n , and d i f f u s i o n about 20 p e r c e n t of th e first term , w hich a r e due resp ectiv ely , so n e g l i g i b i l i t y is is not proved. U s i n g t h e maximum v a l u e for [S] u n d e r NCI c o n d i t i o n s IO- 4 a t m . ) , an d a s s u m i n g a r e a s o n a b l e maximum t h e o r e t i c a l r a t i o [MS ] / [M- ] = Kf [S] (1.3 x v a l u e (500 a t m . - 1 ), t h e i s o b t a i n e d f r o m e q u a t i o n 15: = ( 5 0 0 a t m . 1 ) (1.3 x 10 * a t m . ) 0.065 T h i s m a x i m u m s i g n a l f o r MS- i s l e s s t h a n I p e r c e n t t h a t o f M- , w h i c h w o u l d make MS" d i f f i c u l t fu rth er in c re a se d fav o rab le to favor io n iz a tio n to observe. fo rm atio n te ch n iq u e for of Since [S] MS- , NCI th is ty p e cannot is of not be a iso m e r d istin ctio n . The f o l l o w i n g manner. valu es in the k - s o l h a s b e e n c a l c u l a t e d t h e s a m e way a s b e f o r e . = 7 x IO- 1 1 c c / s e c h-sol = I x k SOl IO- 2 7 c c 2/ s e c [B] = I x 10 1 ^ c c - 1 [S] = 7 x 10 1 ^ c c - 1 Ri = I x 10 R /V = = ro2 cc/sec = 10® c c - 1 [P+ ] D f o r API c a n b e a p p l i e d I s e c -1 (I c c /s e c 0.25 c m 2/ s e c = 0.04 cm2 7 7 same 11 From t h e API v a l u e s : k _ s o l [B] = 7 x IO8 Ri [ P + ] + F / V + D / r 0 2 = 1 0 7 . 2 5 The la st n eg lig ib le th ree w ith respect com plete ex p ressio n Kf [ S ] , term s to the th e for R to deno m in ato r first term . are T his r e d u c e t o e q u a t i o n 15, d efin itely enables the tMS“ ] / [ M “ ] = w hich s u g g e s t s t h a t t h e s o l v a t i o n e q u i l i b r i a m ethod o f isom er d i s t i n c t i o n i n t h e API i s The r e a s o n API i s analy sis order. in lies p red icted th e o re tic a lly possible. t o s u r p a s s NCI f o r t h i s in th e f a c t th a t th e s o lv a tio n r e a c tio n The r a t e o f a t h i r d (16) R ate order reactio n type o f is th ird is ca lc u la te d by : = k s o l [M“ ] [ S ] [B]. S ince th e b u f f e r gas c o n c e n tr a ti o n is c lo s e to th r e e o rd e rs m a g n i t u d e h i g h e r i n A PI t h a n NCI, t h e r a t e o f r e a c t i o n of i s much f a s t e r i n A P I . T h i s r a t e i s 7 x I O 8 [M- ] c o m p a r e d t o t h e NCI r a t e of 4 x I O ^ [M- ] . A lso , th e m o l e c u l e c a n b e made h i g h e r of the so lv atin g co n cen tratio n i n API, fu rth er of th e increasing so lv atin g the rate reaction. U sing-an e a s i l y achieved value of Kf o f 5 0 0 , t h e c a l c u l a t e d R w o u l d b e 2 . 5 . e a s ily o b serv ab le r a ti o of sig n a ls. [S], 5 x 10- 3 atm ., and a T h is w ould p r o v id e an Thus, a c c o r d in g to th e o ry u n d e r r e a s o n a b l e o p e r a t i n g c o n d i t i o n s , t h e API s o u r c e s h o u l d w o r k f o r t h i s m ethod o f is o m e r d i s t i n c t i o n . 12 EXPERIMENTAL The in stru m en t used in th is h o m e —b u i l t m a s s s p e c t r o m e t e r . research was a s p e c i a l i z e d , The s o u r c e was a n a t m o s p h e r i c p r e s s u r e i o n i z a t i o n s o u r c e t h a t c o u l d a l s o b e u s e d a s a n ECD o r a corona d isch arg e so u rce. w i l l be g iv e n l a t e r . A d e ta ile d d e s c r ip tio n of th e source To i n t r o d u c e s a m p l e s i n t o t h e s o u r c e , a g a s c h r o m a t o g r a p h was u s e d w i t h n itro g en was p a s s e d p rio r to en terin g The g a s the n itro g e n as th e c a r r i e r gas. through o x y g e n a n d w a t e r —r e m o v i n g t r a p s column. ch ro m ato g rap h was a Gow-Mac m o d e l 750 t h a t m o d i f i e d t o a c c o m m o d a te a H e w l e t t P a c k a r d 530 m i c r o m e t e r , m e t e r m a c ro b o re colum n (num ber 19095Z-121). was i n s t a l l e d in to to red u ce th e th e source. steel, heated, The was 10 The m a c r o b o r e c o l u m n am ount o f colum n b l e e d in tro d u ced The c o lu m n was t h r e a d e d th r o u g h a s t a i n l e s s t r a n s f e r l i n e and fed d i r e c t l y in to the source. The n e t r e s u l t w as t h a t t h e c o l u m n e n d e d a p p r o x i m a t e l y f l u s h w i t h the entrance in to the source. Two m e t h o d s w e r e u s e d t o in to the source. larg e, airtig h t T he f i r s t volum e, in tro d u ce th e s o lv e n t m o lecu les one was v i a a d i l u t e r , w ith make-up gas flo w in g i n t o t h e s o u r c e t o m i x w i t h t h e GC e f f l u e n t . w h ic h was a through it and The d i l u t i o n v o l u m e h a s a s e p t u m p o r t w h i c h a l l o w s t h e i n j e c t i o n o f a known q u a n t i t y of so lv atin g c o m po u nd i n t o the d ilu te r . t h e m a k e -u p g a s and some i s c a r r i e d This is then d ilu te d in to the source. by Kno wing t h e 13 flo w r a t e th ro u g h th e d i l u t e r , th e t o t a l flow r a t e source, the d ilu ter (w hich so lv atin g volum e in of the m ost m o lecu le d ilu ter, cases is in jecte d , the pressure atm o sp h eric), and the through th e tim e in sid e th e from the am ount o f the in itia l i n j e c t i o n , th e c o n c e n tr a ti o n of th e s o lv a tin g m o le c u le s in th e s o u r c e can be c a l c u l a t e d . The a m o u n t f l o w i n g o u t o f t h e d i l u t e r a t any t i m e c a n be c a l c u l a t e d the vo lu m etric th e d ilu te r flow r a t e and t is m o lecu le tim e Once C i s in th e s o u rc e C = C0 e ~ ( p Zv ^t , w h e r e F i s through th e d i l u t e r , the s o lv a tin g m o lecu le. from : is: elapsed found, V is sin ce t h e volume o f in jectio n of the th e amount of s o l v a t i n g Cs = C ( F d / F t ) , w h e r e F d i s t h e f l o w r a t e t h r o u g h t h e d i l u t e r a n d F fc is th e t o t a l flow r a t e of b o th t h e colum n and t h e m a k e-u p g a s t h r o u g h t h e s o u r c e . A disadvantage of th is S, t h e s o l v a t i n g c o m p o u n d , i s system is th at the co ncentration a l w a y s c h a n g in g due t o t h e c o n s t a n t flo w o f m ake-up gas i n t o and o u t o f t h e d i l u t e r . days to co m p letely p rep aratio n clean th e d ilu ter f o r a d i f f e r e n t one. choice of so lv a tin g of com pounds i s have s u f f i c i e n t vapor p re s s u re to of A lso, one it takes so lv ato r A nother problem is th at in the l i m i t e d b eca u se th e y have to ev ap o rate in to the d ilu ter. A n o th e r sy ste m was d e v i s e d to a l l e v i a t e th e s e d raw b ack s o f th e d ilu terI The s e c o n d system of these co n stru cted diam eter, t e s t e d was c a l l e d a " b u b b le r" . w as a s i m p l e cy lin d rical tube, The f i r s t one inch in w i t h a o n e - q u a r t e r in c h g l a s s tu b e t h a t was drawn t o a f in e opening in s id e th e l a r g e r c y lin d e r . T h i s was t h e m a k e - u p 14 gas in let. W ith the bubbler filled w ith a su fficien t amount o f s o l v a t i n g c o m p o u n d , n i t r o g e n was b u b b l e d t h r o u g h t h e l i q u i d t o s a tu r a t e th e gas w ith the s o lv a tin g liq u id . was t h e n a l l o w e d o u t v i a a g l a s s e x i t p o r t top of th e large cylinder. See F i g u r e The s a t u r a t e d g a s in th e sid e, near the I. 3.5 inches v Figure W ith efficien cy th e I. above d e s ig n , of s a tu ra tio n designed to e lim in a te sh o w n i n F i g u r e 2. F i r s t Bubbler. th e re was some q u e s t i o n as to th e of th e make-up gas. A n o t h e r b u b b l e r was t h i s p o s s i b l e problem . The b a s i c d e s i g n i s 10.5 inches F i g u r e 2. The Second B u b b le r. d i f f e r e n c e s a re changes i n d i m e n s i o n a n d t h e u s e o f an LC c o l u m n e n d w h i c h h a s a s i n t e r e d g lass frit on t h e end. The s in te re d g lass form s s m a lle r b u b b le s th an th e o r i g i n a l d esig n . These b u b b les sm aller produced to a in the d iam eter o rig in al are more design. easily satu rated The d i m e n s i o n s of one and one h a l f inches to th an were th o se increased accom m odate th e 16 larg er bu b b ler tube. The heig h t was also increased so the v e r t i c a l d i s t a n c e t r a v e r s e d by t h e b u b b l e s was l o n g e r , i n c r e a s i n g th e chance of s a tu ra tin g dim ensions re su lts the comes t h e in crease W ith an i n c r e a s e in t h e o f volum e. T his l a r g e r volum e in a l a r g e r s o lv e n t c a p a c ity , e n a b lin g a lo n g e r use as b u b b ler shown th e b u bbles. w ill la te r, d ifference n e e d t o be r e f i l l e d th e in the tw o d ifferen t resu lts. le ss d esig n s Therefore, o ften . of As w i l l bub b lers satu ratio n of the be made no nitrogen g a s a p p e a r e d t o be a c h i e v e d i n b o th c a s e s . Once t h e a n a l y t e a n d t h e resp ectiv e gas li n e s , so lv ato r m o lecu les are in t h e i r t h e y a r e c o m b i n e d i n t h e s o u r c e o f t h e API. T h e s o u r c e i s a h o m e m a d e e l e c t r o n c a p t u r e d e t e c t o r (ECD) w h i c h co n sists and is o f a volum e o f a b o u t b o lted onto th e I cm^ w i t h a g a s i n l e t a n d o u t l e t , front q u a d r u p o l e s as shown in F i g u r e platinum c y lin d e r of 3. the vacuum envelope of th e T h is volum e i s lin e d w ith a i m b e d d e d w i t h 9 mCi o f n i c k e l 6 3. The a p e r t u r e o f t h e s o u r c e l e a d i n g t o t h e v acu um e n v e l o p e a n d m a s s a n a l y z e r i s in a 5/8 in c h d ia m e te r d is k o f n ic k e l, The aperture stain less serve is 20 m icrons in w hich i s d iam eter. s t e e l p i n m ounted c o a x i a l l y in th e 25 m i c r o n s t h i c k . There source a s a c o r o n a d i s c h a r g e o r a s t h e a n o d e o f a n ECD. is also a w hich can gas out heater well Ni foil / g o l d O-ring aperture g a s in □ • i cm F i g u r e 3. BCD S o u r c e o f Mass S p e c t r o m e t e r w i t h F r o n t F l a n g e o f Vacuum E n v e l o p e . The m ass a n a l y z e r i t s e l f N uclear, i s a g u a d r u p o l e d e s i g n by E x t r a - Model 1 6 2 - 8 , c a p a b l e o f b e t t e r u p t o a m a s s o f 500. m u ltip lier by G a l i l e o ratem eter (O rtec The d e t e c t o r i s a c h a n n e l t r o n 40 39 e l e c t r o n E lectro-O ptics. M odel 441) is th a n u n i t mass r e s o l u t i o n The a n a l o g recorded F ig u re 4 shows a b lo c k diagram of th e s e tu p . signal by a c h a r t from a recorder. 18 C hart R ecorder Rate M eter Bubbler Mass Source Analyser F igure T his sin g le mass and 4. Block D iagram o f I n s t r u m e n t . sp ectro m eter to tal ion m o n ito rin g , developed esp ecially th e ion m o n ito r, dual can for th is o r DIM. perform m ass sp ectra and one more f u n c t i o n pro ject. This la tter colum n. lik e is in o rd e r to f r o m t h e G.C. Once e v e r y t i m e i n t e r v a l , s u c h a s o n e s e c o n d , t h e m a s s analyzer s e le c ts signal t h a t w as function T h i s was n e c e s s a r y m o n i t o r tw o d i f f e r e n t io n s as one com pound e l u t e s scans, to the reco rd er. F ig u re in teg rated first 5. The c irc u its: s w i t c h AD7512DKN. one, an d t h e n the o th e r The n e t r e s u l t is io n and s e n d s t h e a p rin to u t circ u it was made w ith 3140 op amps and an th e t h a t looks fo llo w in g in teg rate d c irc u it The o t h e r c o m p o n e n t s w e r e t w o m a n u a l s w i t c h e s . 19 a sm all, red li g h t, capacitors. and v a r io u s r e s i s t o r s , F ig u re 6 shows th e F igure 5. resu ltin g variable re s is to rs circu it. S a m p l e o f DIM P r i n t o u t . and 20 ^W NA 10K F i g u r e 6. DIM C i r c u i t . (to MS) 21 The c o m p o u n d s u s e d w e r e p a r a - c y a n o n i t r o b e n z e n e (p-CNNB), o rth o -, m e ta m eta-, and a n d p a r a - f l u o r o n i t r o b e n z e n e ( o , m, a n d p - F N B ), p a ra -n itro a n iso le triflu o ro n itro to lu en e (m ( Itv-CF3 NB) , and o rth o -, P -O C H 3N B), m e ta-, and m- para- d i n i t r o b e n z e n e ( 0 , m, a n d p - d i N B ) , a n d o r t h o - , m e t a - , a n d p a r a n i t r o t o l u e n e (0 , m, a n d p - N T ) . A ld r ic h C hem ical The a n a l y t e s w e r e o b t a i n e d f r o m in 9 9+ % p u r i t y . d o n e on t h e a n a l y t e s . No f u r t h e r p u r i f i c a t i o n The s o l v a t i n g m o l e c u l e , (DMSO), c a m e f r o m B a k e r a n d w a s d i s t i l l e d s o lv e n t, benzene, was r e a g e n t g r a d e was d im ethylsulfoxide p r i o r to use. from Baker. The o n e T h i s was n o t f u r th e r p u rified . T h e s a m p l e s u s e d w e r e mad e u p i n b e n z e n e t o a c o n c e n t r a t i o n o f 5 t o 30 n g / m i c r o l i t e r . into a d ilu te r, in to th e u sed i n p l a c e o f t h e column, source in tro d u ced Gaseous s a m p l e s were i n j e c t e d d i r e c t l y w ith in to th e the carrier source, gas. b oth and a llo w e d to flow Once t h e th e M- and sam ples MS- ions w ere w ere m onitored. To d e t e r m i n e t h e to see v ario u s if v a lu e s of th e s o lv a tin g r e a c tio n s , and eq u ilib riu m sets of d ata is in d eed achieved w ere c o lle c te d . k n o w i n g t h e c o n c e n t r a t i o n o f S, in th e M o n ito rin g API source, M“ , MS” a n d the experim ental value of can be calcu lated . D a t a was c o l l e c t e d f o r p l o t s o f Kf v s . m a n i p u l a t i o n s o f t h a t d a t a s u c h a s 1/K v s . 1 /R v s . I / [ S ]. T h e r e a s o n t h e Kf v s . [S] a n d v a r i o u s o t h e r [S ], In K vs. [S], and [S] d a t a w a s c o l l e c t e d w a s 22 t o c h e c k t h e c o n s t a n c y o f Kf o v e r v a r i o u s c o n c e n t r a t i o n s o f t h e solyator. The te m p eratu re p late. th e S of a w ater bath A fo il in lets co n ce n tratio n was v arie d co n tain in g by raisin g the b u b b le r v ia th e a hot I id was s e c u r e d o v e r th e to p o f t h e b a th a ro u n d and o u t l e t s to th e bub b ler to keep th e h e a t in and reduce e v a p o ra tio n of th e w a te r bath. H eating ta p e w a s ,c o ile d around the gas l i n e and w rapped a l l leav in g the bubbler, along i t to th e so u rce. a hig h er tem p eratu re of th e so lv atin g way C a re was ta k e n t o k e e p t h i s g a s l i n e a t than th e m o lecu le w ater bath to prevent condensation in th e lin e. c o n c e n t r a t i o n o f S c a n be c a l c u l a t e d and e a s i l y the W ith t h i s to a f a ir l y set-u p , reliab le th e value, controlled. The m o n i t o r i n g of M“ a n d MS- com pletes th e experim ent. S e v e r a l d i f f e r e n t m e t h o d s o f m o n i t o r i n g M~, MS- a n d R w e r e u s e d , first scan n in g , th en s in g le d u a l ion m o n ito r in g (DIM). ion m o n ito rin g (SIM ), and f i n a l l y 23 CALCULATION OF EXPECTED Kf VALUES The o r i g i n a l i n s t r u m e n t u s e d a d i l u t e r i n t h e m a k e - u p g a s lin e to colum n d eliv er was u s e d the to p relim in ary d ata w as so lv atin g in tro d u ce retriev ed m o lecu le the to to an aly te. see if th e source, W ith th is and a set-u p , t h i s p r o j e c t w as w o r t h pursuing. The t w o s o l v a t i n g compounds checked w e r e DMSO a n d m ethanol. T h e s e w e r e c h o s e n b e c a u s e t h e r e a r e k n o w n Kf v a l u e s f o r t h e s e compounds w i t h v a r i o u s s u b s t i t u t e d b e n z e n e s such as t h e f lu o r o n i trobenzenes,. n i t r o to lu e n e s , The known U nfortunately, Kf values n itro an ilin es were all and o t h e r s . ^ obtained at 7 0°C. t h e compounds u sed r e q u i r e a column t e m p e r a t u r e o f a r o u n d 7 O0 C,, s o t h e s o l v a t i n g d a t a f r o m . t h i s s e t - u p m u s t be t a k e n a t 125°C o r h i g h e r . T h i s i s b e c a u s e t h e s o u r c e m u s t be k e p t a t l e a s t 50° h i g h e r t h a n t h e experim ental Kf v a l u e s incom ing gas. at 150°C, Kf I^O v a l u e s m u s t b e c a l c u l a t e d to In o r d e r t o Kf K a t 150°, compare t h e th e K eb arle f r o m t h e 70 d e g r e e d a t a u s i n g t h e g i v e n flH a n d fiS v a l u e s , a s s h o w n b e l o w : l]G = - R T l n K f AG = AH - TAS For exam ple, DMSO: t o f i n d Kf a t 1 5 0 ° f o r t h e s o l v a t i o n o f m-CF^NB w i t h 24 = -7 .1 k cai/m o le, AH^ = -1 4 .6 k cal/m o le, AS70 = - 2 2 . 3 c a l / m o l e 150°C = 423°K AG4 2 3 = - 1 4 . 6 - (423) (-0 .0 2 2 3 ) AG423 = - 5 . 1 6 7 k c a l / m o l e AG423 = -RTl nK - 5 . 1 6 7 = - ( 1 . 9 8 7 x I O - 3 ) (4 23 ) l n K KgK = 4 6 7 . 5 a t m . - 3 A ccording to K ebarle, there are errors in h i s m easurem ents f o r Ah a n d AS, 3 t h u s t h e K3 3 ^ c a n b e a p p r o x i m a t e d t o 5 0 0 a t m . - 3 . A l l known Kj= v a l u e s u s e d f o r c o m p a r i s o n w e r e c a l c u l a t e d up t o a n e x p e r i m e n t a l t e m p e r a t u r e o f 150°C by t h i s m e t h o d . i n T a b l e 2. . Table Compound They a r e l i s t e d 2. C a l c u l a t e d V a l u e s o f Kj= AH k c a l / m o l e AS c a l / m o l e - d e g Kj= a t m . - 3 P-OCH3NB -1 6 .3 -2 2.5 320 Ki-CF3NB -1 4 .6 -22 .3 468 p —CNNB -16 .0 -33.6 8 25 Once t h e Kf v a l u e s a r e f o u n d , th e ra tio , MS- Z i n t e n s i t y M- c a n b e p r e d i c t e d . equilibrium T h i s co m e s d i r e c t l y expression, K4; = [MS ] ['M- ] [S] w here: R = [MS- ] [M- ] and Kf [S] Thus, k n o w i n g Kf a n d R, o f t h e I n t e n s i t y =R [ S ] > R may b e p r e d i c t e d . from t h e 26 RESULTS W ith th e o r i g i n a l d i l u t e e , to find [S], th e tem perature of t h e r oo m m u s t be known i n o r d e r t o g e t t h e v a p o r p r e s s u r e o f t h e solvent. Then t h e a p p r o p r i a t e volum e o f s o l v e n t m o l e c u l e can be in jected so exam ple, a t as not to leav e any liq u id u n evaporated. 2 0°C t h e v a p o r p r e s s u r e o f DMSO i s volum e o f t h e d i l u t e r is 6 liters For 5 x IO- ^ a t m . The and i s a t a t m o s p h e r i c p r e s s u r e . To g e t t h e i n i t i a l c o n c e n t r a t i o n o f S , s t a r t w i t h t h e i d e a l g a s la w and r e a r r a n g e (20) t o e q u a t i o n 20: PV = n RT (5 x 1 0 _ ^ ) ( 6 L ) = n = 1 . 2 5 x 1 0 “ ^ m o l e s (0.0821)(293) (1 .2 5 x IO - ^ m o le s ) (78g/m ole) (lcc/1 .1 0 1 4 g ) = = 8.83 x 1 0 " 3 c c In jectin g 8.83 m icro liters of DM SO w o u l d c o n c e n t r a t i o n p o s s i b l e a t 20°C> give the maximum 0 . 3 8 t o r r (5 x 1 0 “ ^ a t m . = 0.38 to rr). P relim inary the so lv ato r, experim ents, done w ith th e d i l u t e r to in tro d u c e showed t h a t s o l v a t i o n does indeed o ccu r s o u r c e , a n d i s o b s e r v a b l e a s shown in F i g u r e s 7 seen from t h e s e F igures, th ere is a d efin ite 11 . i n t h e API As c a n b e d ifferen ce betw een t h e b a c k g r o u n d i o n s w h e n e i t h e r MeOH o r DMSO i s p r e s e n t . MeOH I 27 t e n d s t o g i v e a l o t o f b a c k g r o u n d i o n s w i t h no a n a l y t e p r e s e n t , and e x tra n e o u s See F ig u r e s io n s, ions 9 - 12. analyte DMSO g i v e s passes through com paratively r e s e a r c h , DMSO i s o n l y com po u nd t h a t An e x p e r i m e n t that it showed io n source was r u n o n t h e NCIMS t o th at solv atio n no s o l v a t i o n pressure. 1% o f S ince can exp ected R t h a t shows ions, the for of is M” o c c u r s p red icted scan, For a value t h a t d rastically . to f o r R and th e R for th is nitrobenzene. w a s 10% o f t h e sig n ifican t o f m e t h a n o l much ■ ■ ■ ion so u rce p re s s u re . 191 a n d 269 m a s s u n i t s , first . pressure in t h e API, be m e a su re d and com pared t o v alues The p r e d i c t e d the the t o t a l so lv atio n [MS""]/[M“ ] , for the fo r isom er i d e n t i f i c a t i o n . In API e x p e r i m e n t s , ■■ than Thus, check t h e assu m p tio n occurred s o lv a tio n ta k e s p la c e w ith the p a r t i a l less background t h e b e t t e r s o l v a t o r and i s t h e The p a r t i a l p r e s s u r e o f m e t h a n o l , t h e s o l v a t o r , to tal source. w i l l be u s e d i n t h a t c a p a c i t y . would n o t f a c i l i t a t e resu lts the little a n d no e x t r a n e o u s i o n s d u r i n g t h e s o l v a t i o n . purposes o f . t h i s T he whe n t h e be a c o n s t a n t in ten sities the th e ratio , calcu lated , value. of th e R = T able 3 M- a n d MS- f o r t h e s y s t e m o f m-CFgNB a n d DMSO. experim ent but s ig n ific a n tly is 0.26, d ifferen t i s p r e d i c t e d to be c o n s ta n t, reasonably close for the other to scans. R a p p e a r s to change 28 W/O F ig u re 7. DMSO Ion scan With DMSO o f m-CF^NB a n d m olecular ion, DM SO. 269 i s 191 i s t h e m o l e c u l a r i o n . the so lv ated 29 W /O MeOH With MeOH 191 223 269 F i g u r e 8. I o n s c a n o f m-CFgNB a n d MeOH. ion, 223 is th e so lv ated ion, 191 i s t h e m o l e c u l a r and 269 is s o l v a t e d by t h e r e m a i n i n g DMSO i n d i l u t e r . M- 30 With Mg OH W/O IVIcOH F i g u r e 9. I o n s c a n o f o-NT w i t h a n d w i t h o u t MeOH. MS- i s 10. 137, 16 9. W/O MgOH Figure M- i s With MgOH I o n s c a n o f m-NT w i t h MS- i s and w i t h o u t 169. MeOH. M is 13 7, 31 W/O MeOH With MeOH 137 137 . I F igure 11. I o n s c a n o f p-NT w i t h a n d w i t h o u t Me OH. MS- is 12. M is 137, DMSO Bkgd MeOH B a c k g r o u n d , DMSO B a c k g r o u n d , _ 169. MeOH Bkgd F igure a xlO , xlO, resolution reso lu tio n 1 5 0° C . 6, 6, = 1 7 O0 C = 32 T a b l e 3. Ion I n t e n s i t i e s a n d R V a l u e s f o r m-CF3N B / 0 . 38 t o r r EMSO INTENSITY MSM- ( 2 6 9) (191) R (269/191) 11.5 10.0 5.0 2.0 1.5 57.0 58.5 47.0 36.0 12.5 0.202 0.171 0.106 0.056 0.120 The i n e q u a l i t y o f o b s e r v e d and e x p e c te d v a l u e s f o r R may b e e x p l a i n e d by a p e r t u r e e f f e c t s . In th e r e g io n o f th e a p e r t u r e , extrem e tem p eratu re, and There is an e x p a n s i o n r e g i o n on t h e where co llisio n s can o ccu r o f t h e MS^ c l u s t e r . a p a r t t o M- , pressure If v elo city ex it sid e w h i c h may r e s u l t f is th e a n d no M- i s d e s t r o y e d , of the ex ist. apertu re in th e d i s s o c ia tio n fractio n of MS- th at falls t h e o b s e r v e d r a t i o would be a fu n c tio n of th e r e a l r a t i o or the r e a l ex p lain g rad ien ts value. th e in e q u a lity o f th e observed r a t i o s , T his does n o t however. A p o s s ib le e x p la n a tio n fo r th e in e q u a lity of th e observed ratio s m asses, is th at during th e tim e betw een o b serv in g t h e M- and MS- the r a t i o rem ains c o n s ta n t, but the i n t e n s i t i e s MS- c h a n g e a s t h e p e a k e l u t e s f r o m t h e c o l u m n . sh ow p l o t s of the i n t e n s i t y o f an io n vs. o f M- a n d F i g u r e s 13 a n d 14 scan num ber, revealing t h a t t h e M- a n d MS- c o n c e n t r a t i o n s d e f i n i t e l y a p p e a r t o c h a n g e a t d ifferen t rates. T h i s c o u l d be a n a r t i f a c t of the tim e it tak es 33 to scan mass from M- t o MS- . sp ectro m eter, seconds. During may c h a n g e , a th at the e le c tr o n of M- change tim e, alterin g co n cen tratio n Even a t the has capture of t h e f a s t e s t s c a n r a t e on t h e 78 m ass u n its th e concentration of observed in ten sity changed a c c o rd in g of to tak es M in MS- , the I to 2 the source because th e equilibrium of reaction. T h i s p h e n o m e n a i s a l s o o b s e r v e d f o r o t h e r c o m p o u n d s a s shown in T ables 4 - 6 . D esp ite th e se d is c r e p a n c ie s , th e p re lim in a ry d a ta su g g e st t h a t t h i s system has prom ise. Comparing th e a v e ra g e R v a l u e s f r o m T a b l e s 4 - 6 t o e a c h o t h e r and s e e i n g for th ese iso m ers in creases, so does th e average s u g g e s t s t h a t th e m ethod w o rk s, b u t t h a t th e d a t a m e t h o d may b e c a u s i n g t h e v a r i a t i o n o f R. o f m e a s u r e m e n t m u s t be d e v i s e d . A lso, th at Thus, as R v alues, m easurem ent a b e t t e r method th e c o n c e n tr a tio n of S s h o u l d be b e t t e r c o n t r o l l e d , t h u s t h e i n v e n t i o n o f t h e b u b b l e r described p re v io u s ly . O A O A SCAN NO. F igure 13. In te n sity vs. S c a n Number f o r m-CFgNB/MeOH. 34 A A SCAN NO F igure 14. T a b l e 4. Scan # : In ten sity vs. S c a n Number a n d R a t i o s I R a t i o MS- : 0.31 M Ave. R : Kf S c a n Number f o r m-CF^NB/DMSO. f o r o-diNB/MeOH 2 3 4 5 6 7 0.15 0.28 0.37 0.27 0.17 0.13 0.24 = I . 3 x 10^ a t m - 1 35 T a b l e 5. Scan # :/ S c a n Number a n d R a t i o s f o r m-diNB/MeOH I 2 R a t i o MS" : 0 . 3 2 M Ave. R : Kf ^ 0.36 3 4 0.36 0.30 5 6 0.18 I 0.24 0.18 0.26 = 2 . 5 x IO^ a t m " ^ T a b l e 6. S c a n Number a n d R a t i o s f o r p-diNB/MeOH Scan # : I 2 3 4 5 6 7 R a t i o MS" : 0 . 0 6 4 0 . 0 6 7 0 . 1 2 5 0 . 1 0 7 0 092 0 . 0 6 3 0 . 0 5 3 M Ave. R : Kg W ith source is co n stan t. d ilu ter, 0. 081 = 3 x iq I atm "1 the b u b b ler co n stan t, if set-u p , th e co n cen tratio n th e te m p e ra tu re of the of S in the b u b b le r rem ain s T h e r e i s no e x p o n e n t i a l d i l u t i o n f a c t o r a s w i t h t h e so an e x p e r i m e n t c a n be r e p e a t e d at d ifferen t t h e day w i t h t h e same c o n c e n t r a t i o n o f S p r e s e n t , tim es of and thus o b ta in id en tical r e s u lts . S in c e th e p r e l i m i n a r y m ethod o f m e a su rin g th e r a t i o o f to [M~] w a s n o t r e l i a b l e , a n e w m e t h o d w a s d e v i s e d . lo oking a t "in sta n ta n e o u s" ratio s from a sc a n , [MS"] In stead of th e to ta l ra tio 36 was loo k e d a t . w ith a s in g le T h i s was a c c o m p l i s h e d by m o n i t o r i n g f i r s t o n e i o n in jectio n of sam ple and t h e n and m o n ito r th e o th e r ion of i n t e r e s t . repeat an d t h e r a t i o calcu lated . the for the flu o ro n itrobenzenes so lv ato r. T able and sin g le m-CFgNB, o f t h e a r e a s was ion m o n ito r t r a c e s all w ith DMSO a s T ab le 7 g i v e s th e a r e a s o f th e peaks and t h e i r r a t i o s . The e x p e c t e d 0.19, 15 - 18 show in jectio n The a r e a s o f t h e p e a k s were th e n found w ith a p l a n i m e t e r , F igures the R for m-CFgNB s o l v a t e d w ith DMSO t u r n s o u t t o be w hich a g re e s w ith th e e x p e rim e n ta l value. 7. Peak A reas Compound and R a tio s N itrobenzenes AMS" AM" for Some [MS ] / [M o-FNB 0.16 0. 24 0.67 m-FNB 0.07 0.12 0.57 p-FNB 0.13 0.17 0.79 m-CFgNB 1.14 0.22 0.19 F lu o rin ated 37 I F ig u re 15. S in g le Ion M o n ito r o f M ( 1 4 1 ) a n d MS (219) f o r o-FNB/DMSO. 219 F ig u re 16. S in g le I o n M o n i t o r o f M- ( 1 4 1 ) a n d MS f o r m-FNB/DMSO. (219) 38 219 F ig u re 17. S in g le Ion M o n ito r of M ( 1 4 1 ) a n d MS (219) I o n M o n i t o r o f M- ( 1 9 1 ) a n d MS (269) f o r p-FNB/DMSO. F ig u re 18. S in g le f o r m-CFgNB/DMSO. 39 A b e t t e r s a m p l i n g mode was d e v e l o p e d t o m o n i t o r b o t h M” a n d MS- d u r i n g t h e s a m e c h r o m a t o g r a p h i c p e a k . both the ions w ere m easured circ u it sectio n . w ere d escrib ed id e n tica l conditions. p rev io u sly in th e D etails of experim ental A s a m p l e o f t h e d u a l i o n m o n i t o r (DIM) c h a r t r e c o r d w a s a l s o shown p r e v i o u s l y S ince th e re m easurem ent, speed, under T his would i n s u r e t h a t ion the i n F i g u r e 5. a r e many v a r i a b l e s optim um energy, settin g s co n cen tratio n to a d ju st for of i n o r d e r t o make a reso lu tio n , an aly te, DIM s a m p l i n g and o ld or n ew b u b b ler, w e r e o b t a i n e d by e x p e r i m e n t . T able 8 g iv e s th e d a ta obtained f o r t h e s y s t e m p-CNNB/DMSO f o r th e p u ls e and r e s o l u t i o n experim ents. varying There is little effect on the ratio caused t h e p a r a m e t e r s o f p u l s e s p e e d and r e s o l u t i o n . T a b l e 8. R e s u l t s o f P u l s e and R e s o l u t i o n E x p e r i m e n t s f o r p-CNNB/DMSO P ulse R esolution R atio i A 7.0 0.097 A 6.5 0.097 A 6.0 0.097 A 5.8 0.084 A 5.5 0.100 B 6.0 0.093 C 6. 0 0.095 A is B is C is 1.5 s e c . / p u l s e . 0.75 s e c . / p u l s e , 2 sec./p u lse. by 40 C o n cen tratio n also observed r a t i o of CNNB/DM SO. d iffe re n t The from appears to have, l i t t l e effect on t h e T a b le 9 shows th e d a t a o b t a i n e d f o r p p re d ic ted th e ra tio observed is ratio 0 .002, of w h ich 0 .1 3 , is q u ite how ever b o th c o n c e n t r a t i o n s g a v e t h e same r a t i o . T a b l e 9. The C o n c e n t r a t i o n E f f e c t on t h e R a t i o o f C oncentration A r e a MS- A r e a M- R 60; ng 0 .1 1 . 0.82 0 . 13 12 ng 0.66 5.08 0.13 ion energy (24 V) a n d h a l f param eter ion e n e rg y was checked at ion en erg y The v a l u e w as h i g h , a n d was s i g n i f i c a n t s i g n a l f o r b o t h M- a n d MS- in F ig u re fu ll (12V), u s i n g t h e " o l d " b u b b l e r . s y s t e m u s e d w a s m-CFgNB/DMSO, b e c a u s e t h e there [MS- ]/[ M ~ ] ions. As s h o w n 1 9 , t h e f u l l i o n e n e r g y o f 24 v o l t s s h o u l d b e u s e d , a s l e s s th a n f u l l e n e rg y d id n o t produce as s t r a i g h t a l i n e p l o t o f InK v s . 1 / T d . from a 41 I 1/T x IO3 F i g u r e 19. Ln K v s . 1/T f o r V a r io u s Io n E n e r g i e s , and f o r C a l c u l a t e d P o i n t s f r o m K e b a r l e 's D ata, 12 V o l t s A . Q . 24 V o l t s , Q , 42 w ith The two b u b b l e r s w e r e c o m p a r e d by r e p e a t i n g the compounds, same a n a l y t e a n d p- O CH gN B) w i t h DMSO. of The m e t a - and p a r a - n i t r o a n i s o l e of DMSO. (m v alu es a t a source tem perature 150°C w e re c o m p a r e d a g a i n s t t h e pressure, th e experim ent The p a r t i a l co n cen tratio n , pressure or p a r tia l o f DMSO w a s calculated by p l o t t i n g t h e M erck I n d e x v a l u e s on a g r a p h , d r a w i n g a c u r v e , and th en read in g th e experim ental tem peratures. no s i g n i f i c a n t d i f f e r e n c e co rresp o n d in g pressures As c a n be s e e n i n F i g u r e in th e v alu es obtained from th e 20 , t h e r e i s from t h e two bubblers. The t e s t m o n ito rin g for equilibrium Kf e x P v s . [S ] . If in th e source eq u ilib riu m s h o u l d b e a c o n s t a n t v a l u e no m a t t e r w h a t MS“ / M _ s h o u l d c h a n g e a s [S] c h a n g e s . [S] w as a c c o m p l i s h e d by is achieved, is. This i s Only t h e r a t i o n ot th e s h o w n i n F i g u r e 21 f o r p a r a - a n d m e t a - n i t r o a n i s o l e , f o r p a r a - c y a n o n i t r o b e n z e n e (p -CNNB). t h e same s h a p e d c u r v e , b e t w e e n Kf a n d [S]. Kf e x P case as a n d F i g u r e 22 A ll t h r e e compounds have s o t h e r e m u s t be some s o r t o f r e l a t i o n s h i p 43 F i g u r e 20. C o m p a r i s o n o f Kf v s . Improved B ubblers. [S ] f o r O r i g i n a l K is atm [S] Q i s atm. and 44 [S ]x IO 3 F ig u r e 2 1 . Kf v s . [S] K is f o r p -OCH3NB, O in atm- 1 , [S] , and Hi-OCH3NB, A i s in atm. . 45 10 12 [S] x IO 3 F i g u r e 22. vs. [ S ] f o r p-CNNB. atm. 14 16 K i s i n a t m - 1 , [S ] i s i n 46 O ne p o s s i b l e e x p l a n a t i o n i s t h e a p e r t u r e e f f e c t d e s c r i b e d p rev io u sly . into In t h e e x p a n sio n r e g io n th ro u g h w hich gas p a s s e s th e e v a c u a te d , mass a n a ly z in g r e g io n , c o l l i s i o n s occur^ t h a t rev erse the so lv a tio n process. For exam ple: MS" + N2------ + S + N2 T h is r e a c t i o n would re d u c e t h e o b s e rv e d i n t e n s i t y a n d i n c r e a s e t h e i n t e n s i t y f o r M- b y a f r a c t i o n , in term s of th e chem ical e q u i l i b r i a happening, fo r the f. i o n MS W riting t h i s a s s u m i n g M- d o e s not d isso ciate: (20) Kexp tF t^ s ] ■ [MS- ] ^ = [MS- ] ^ - f [MS- ] [M- ] 0 [M—] r + f [MS- ] r (21) (22) K = [MS- ] [M- ] r Ts ] (23) [MS- ] r = Kr [ M "]r [S] (24) [MS- ] ^ = Kr TSl [M- ] - K [ S-I [M- : [M- ] 0° [M- ] r + Kr [M ] r [ S ] f (25) [MS- ] ^ = K „[ S ] - K „ [ S ] f [M- ] q I + Kr T s l f = Kv. [S] ( I - f ) ( I + Kr I S j f ) (26) [MS- ] ^ = K [M- I 0 TS] (27) (I - f ) ( I + Kr [ S ] f ) (28) kUsing t h i s vs. [S] fin al from = k- a expression ap p ro p ria tely g r a p h i n F i g u r e 23 i s ^ c s 1I T to g en e ra te a p re d ic te d chosen o btained, values for plo t of Ke x p [ S ] a n d Kr , t h e w hich c l o s e l y r e s e m b l e s the data 47 p lo tted earlier in F ig u res 21 a n d 22. 28 i s a p o s s i b l e d e s c r i p t i o n U nfortunately, th e values fo r relatio n sh ip . equation in g iv in g compounds t e s t e d (29) enabling expression f and are not easily A rearrangem ent a lin ear relatio n sh ip of th e found above fo r a l l of the by t h i s m e t h o d . ___1__ Kgxp The s l o p e th e of the a p e rtu re e f f e c t . w ith o u t a lin e a r resulted T herefore, = [S] f - f) U is equal to f / ( l the c a lc u la tio n + I K f d - f) - f) and th e i n t e r c e p t , o f f a n d Kr . F igures 24 t o 1/K r ( I - f), 26 show t h e g r a p h s o b t a i n e d f r o m d a t a f o r m-OCHgNB, p-OCHgNB, p-CNNB, o-FNB, m-FNB and p-FNB. values T able 10 g i v e s the a r e a t 150°C e x c e p t p-CNNB, p ertin en t v alues. A ll Kr c a ^ c w h i c h i s a t 225°C. T a b le 10. C o m p a r i s o n o f Kr c a ^c a n d K^ k f o r Some F l u o r o n i t r o b e n z e n e s f r o m E q u a t i o n 29 Compound C orr. C o eff. f K calc Kf* m-OCHgNB 0.997 0.27 4628 — p —OCH3NB 0.998 0.25 78 00 3200 p-CNNB 0.984 0.78 425 0.48 O-FNB 0.989 0.08 102 — m-FNB 1.000 0.09 33,300 97,60 p-FNB 0.990 0.09 78,500. 161,000 48 8 F ig u re 23. G enerated P lo t of K vs. 9 10 [S ] f r o m E q u a t i o n 29. H e r e , K = 3000 a n d f = 0 . 1 0 . 49 [S] x 10 F i g u r e 24. 1/K e x p v s . A [ S ] f o r In-OCH3NB, w i t h DMSO. Td = 150°C Q a n d P - O C H 3NB, 50 [s] F i g u r e 25. x 10 V Ke xp v s * ^s I ^o r P - CNNB w i t h DMSO. 1 50°C. K is i n a t m - "*", [S] i s in atm. Td 1/K 51 [s]x 10 F i g u r e 2 6. 1 / Ke xp v s * ^ ^o r ( ^ rom t o p t o b o t t o m ) o , a nd p-FNB w i t h DMSO. [S] = 1 5 0 o C. i n atm. K i n a t m - "*', m, 52 The c o r r e l a t i o n c o e f f i c i e n t was c a l c u l a t e d re g re s s io n , program from S h a rp E l e c t r o n i c s m o d e l EL-512 c a l c u l a t o r . p o in ts lie co rrelatio n on th e A value lin e. coefficien ts, from a l i n e a r C orp o ratio n o f 1. 0 0 0 m e a n s a l l As s e e n 1/Kg v s . from [S] th e is on t h e i r of the data graphs and th e a lin ear relatio n sh ip lead th e f o r t h e compounds t e s t e d . T his lin ear calcu la ted Kf re la tio n sh ip v alu e when r e la tio n s h ip j u s t discussed (23) a lin ear not com pared to to K e b a r le 's , correct so th e is not p e r f e c t l y ex p ressed as ___ 1_ Ke x p O ther e x p re s s io n s did = [S] f + I Kr ( I w e r e i n v e s t i g a t e d b e f o r e Eg. r e l a t i o n s h i p betw een [S] a n d R o r K. “ 29 , searching for One o f t h e s e t h a t showed p r o m is e was: (30) w hich gave tested . a I R lin e a r = ___ I __________ 1_ ■Kr ( l - f ) [S] rela tio n for four + (I out of S e e F i g u r e s 27 t o 29 a n d T a b l e 1 1 . f - f) fiv e compounds A p p ly in g t h i s same f o r m u l a t o t h e s o l v a t i o n o f t h e F N B 's b y t w o m o l e c u l e s o f DMSO d id not r e s u l t th a t th e in a l i n e a r r e l a t i o n s h i p . system suggests. A lso, sin ce f o r p-CNNB, t h i s th at is being u ltim ately for a ll is m ore co m p licated i t did not r e s u l t F ig u re than 31, s u g g e s t i n g th is ex p ressio n in a l i n e a r r e l a t i o n s h i p e x p re s s io n does n o t c o r r e c t l y d e s c r i b e th e system stu d ied . reach equation compounds t e s t e d . F u rth er 29, m an ip u latio n s resu ltin g in lin ear w ere made to relatio n sh ip s 53 O 2- x U /I 2H------- 1--------1--------1------- 1--------1------- 1--------1------- h 2 F i g u r e 27. 1/R v s . 6 10 i/s x ic r 2 14 16 I / [ S ] f o r ( f r o m t o p t o b o t t o m ) m-OCH^NB and P-OCH3NB w i t h DMSO. Td = 150°C. [S] i n atm. 54 F igure 28. 1/R v s . I / [S ] f o r m-FNB, DMSO. Td = 70o C. [S] O an d p-FNB, A in atm. with 55 I /[S] x IO"2 F i g u r e 2 9. 1/R v s . 1 /[S ] 225°C. f o r p-CNNB w i t h DMSO. [S] in atm . I / R 56 -I---------- 1---------- 1----------1---------- 1---------- 1--------- 1---------- 1----------1— 4 8 12 16 20 1/[S]x IO"2 F ig u re 30 . 1/R vs. m o l e c u l e s o f DMSO. I/[S] for so lv atio n of M- by M ( f r o m t o p t o b o t t o m ) i s o , m, a n d p-FNB. [S] i n atm. tw o 57 T ab le 11. C o m p a r i s o n o f K^c a -*-0 a n d K^ k f o r Some F l u o r i n a t e d N i t r o b e n z e n e s f r o m E q u a t i o n 30 Intercept Slope Compound f Kf In-O C H 3 NB 5 .3 X IO"4 0.31 0.24 2700 P-OCH3NB 1.8 X IO"4 0.34 0.254 7285 3196 m-FNB 3 .5 X IO"5 0.10 0.093 34,800 97,600 p-FNB I . 9 X IO"5 0.10 0.088 60,000 161,000 — The b e s t e x p r e s s i o n w a s e q u a t i o n 2 9 , c o r r e l a t i n g [S ] . T h is is not yet exp erim en tal Kf H ow ever, reference th e v alu es th e acc u rate calcu la ted Kf v a l u e s degree as K ebarle ad m its to e r r o r s ex p ressio n , do not may b e in appear q u estio n I / Kf a n d a s . th e co rrect. to some in h i s AH a n d AS v a l u e s w h i c h w e r e u s e d t o c a l c u l a t e t h e r e f e r e n c e Kf ' s . M ore c o m p o u n d s s h o u l d be t e s t e d it ag ain st o th er po ssib le th is ad d itio n s th eo ry to v erify or v a ria tio n s to it. and to d eriv e any 58 SUMMARY A ccording to the th e o re tic al C h e m ic a l Dynamics s e c t i o n , i n t h e API s o u r c e . seem s to show equilibrium . clo sely th a t th e API sig n als what happens do betw een L eaving th e s o u rc e , t h e an a p e r t u r e len ses, q u a d r u p o I e s and d e t e c t o r . apertu re, v elo city vs. not in th e is achieved [S] h o w e v e r , re fle c t th is T h i s c o n f l i c t o f t h e o r y a n d d a t a may b e r e s o l v e d by through the done therm odynam ic e q u i l i b r i u m The p r e l i m i n a r y d a t a o f exam in in g d etecto r. calcu latio n s in to th e re gradients. the are In reg io n As t h e i o n s , and co n tain in g etc. te m p eratu re, chaotic w hich c o u ld b re a k a p a r t a s o l v a t e d source the io n s and n e u t r a l s m u st p a s s evacuated extrem e th is the zone, ion, p a s s through pressure, co llisio n s MS- t o M . the and can o ccu r O ther t h i n g s m a y h a p p e n , s u c h a s r e m o v i n g t h e e l e c t r o n f r o m M“ , m a k i n g i t a n e u t r a l and u n o b s e rv a b le . th e equilibrium , M" i o n s . affectin g T his Ke x p = K„ eq u atio n g en erated f o r Kf v s . above (eq. [S]. afford (I - f) (I + K r (S ]f) a curve This s u g g e s ts th a t th at resem bled the theory the d ata expressed 28) c l o s e l y d e s c r i b e s why t h e e x p e c t e d h o r i z o n t a l l i n e f o r t h e g r a p h Kf v s . not t h e O b s e r v e d i n t e n s i t y o f t h e MS" a n d One e x p r e s s i o n t h a t was e x a m i n e d was e q u a t i o n 28: (28) p lo tted A l s o , t h e t e m p e r a t u r e c h a n g e may a l t e r much [S] i s n o t o b s e r v e d . in fo rm atio n , and do S in c e c u r v e d l i n e s do not c learly d efin e a 59 relatio n sh ip , o th e r v ariatio n s for a lin e a r re la tio n On e v aria tio n resu lted in of equation 28 w e r e t r i e d , o f some s o r t b e t w e e n K^, o r R, a n d d iscu ssed , straig h t lin es 1/R for vs. four I/[S ] com pounds d o u b l e s o l v a t i o n o f M~ by. t w o m o l e c u l e s o f DMSO. I = [S] f (I - Kexp w hich gave available th e lin e a r p lo ts to use the lin ear or equal to 0.990. line. good 0.984. An r of + (m-OCHgNB, in clu d in g the This, all Krd " f) e q u a t i o n 29 , eq u ilib riu m . co efficien t, for Table all 11 s h o w s t h a t compounds of the d ata p o in ts com pounds. T his su p p o rts th a t the ap ertu re causes a v a r ia tio n cau sin g i n c r e a s e o f M- t o rr was a b o v e Four of th e s ix compounds had v a lu e s above the by w as . f o r e v e r y com pound t h a t had t h e d a t a 1.000 m eans a l l of then, was e q u a t i o n ; So t h e a g r e e m e n t o f d a t a t o t h e b e s t p o s s i b l e for p- I_______ above r e l a t i o n s h i p . co rrelatio n 30), The r e l a t i o n s h i p t h a t g a v e t h e c l o s e s t ap p are n t d e s c r ip tio n of the a p e rtu re e f f e c t s (29) [S]. (eq u atio n OCHgNB, m-FNB a n d p - F N B ) b u t c u r v e s f o r t h e r e s t , not e sp e c ia lly u sefu l. hoping a fractio n al lo ss, f, a r e on t h e lin e th e i s very theory of in the observed of MS" a n d an (M"~ + fMS ). A ls o , t h e v a l u e f i s n o t c o n s t a n t and v a r i e s fro m compound t o compound. The m a g n i t u d e o f f d o e s s e e m t o b e t i e d v a l u e , a s s e e n i n T a b l e 11. it appears th a t t o t h e Kf K F o r t h e f o u r Kf K v a l u e s a v a i l a b l e , a s Kf K i n c r e a s e s , b e c a u s e t h e l a r g e r t h e Kf K v a l u e , f decreases. T h is makes s e n s e t h e m ore s t a b l e t h e s o l v a t e d 60 i o n w o u ld be. T h is s t r o n g e r s t a b i l i t y w ould re d u c e th e am ount l o s t due t o c o l l i s i o n s , In g en eral, d istin ctio n th e shows experim ents, thus low ering the value of so lv atio n co n sid erab le th e ratio in c re a s e d (T ables 4 - 6 ) th e an aly tical ap ertu re rela tio n sh ip , values of the of th is s o u r c e and t h e o b s e r v e d th e as m ethod a r e isom er p relim in ary th e value So f a r , lim ite d . stu d ied . The The f i n a l d o e s n o t g i v e t h e e x p e c t e d Kf N ev erth eless, relatio n sh ip In of fo r a g iven s e r i e s of is o m e rs. e q u a t i o n 29, s t i l l K ebarle. m ethod in creased n eed t o be m ore c l o s e l y o b ta in e d a re encouraging. clarify prom ise. of ap p licatio n s effects eq u ilib riu m f. the lin ear rela tio n sh ip s A d d i t i o n a l work i s r e q u i r e d t o f u r t h e r between th e signals. reactions occurring in the 61 REFERENCES CITED C h o w d h u r y , S . K . , E . 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