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UBC Theses and Dissertations

Phospherescence in heterosubstituted organic compounds Adam, Frank Cuthbert 1953

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PHOSPHORESCENCE IN HETEROSUBSTITUTED ORGANIC COMPOUNDS by FRANK CUTHBERT ADAM  A Thesis submitted i n Partial Fulfilment of the Requirements for the Degree of Master of Science in the Department of Chemistry  We accept this thesis as conforming to the standard required from candidates for the degree of Master of Science.  Members of the Department of Chemistty.  The University of British Columbia April, 1953.  ABSTRACT ' A review of recent literature pertaining to phosphorescent studies was made and, on this basis, a mechanism was developed to explain the short-lived afterglow found i n some organic compounds where n —  transitions occur*  An apparatus for measuring phosphorescent lifetimes was described with some of the results obtained thereon. The principal d i f f i c u l t i e s met with were also described.  ACKNCMLEDGEMENTS I wish to expressraysincere appreciation to Dr. C. Reid for the assistance and encouragement received from him during the course of this investigation. I also wish to expressraythanks to the Shell Oil Company of Canada for financial assistance given to me in the form of a Research Fellowship.  TABLE OF CONTENTS Page I. General  ...  •••  •••  •••  •••  1  II. Assignment of Long-Lived Emission to Triplet-Singlet Transitions  h  III. Spin-Orbit Coupling and the TripletSinglet Selection Rule  7  17. Symmetry Selection Rules  9  _ TC Transitions  10  V.  N  VI. Discussion  ...  ...  13  VII. Fhosphorescence of Aliphatic Ketones VIII. Nitrogen Containing Compounds  ...  19 26 26  IX. Halo Substituted Compounds Experimental Section: X. General  ...  •»•  •••  •«•  •• •  XI. Oscilloscrope and Detector.' Units ... XII. Ultra-Violet Sources  29 30 31  32  XIII. Light Beam Interrupters XJJ. Sample Suspension •  36  XV. Experimental Results  39  A* Calibration  ...  39  ... ...  ko  C. Trinitrobenzene "complexes" with KCN ...  hS  D. Sahxrent Studies ...  U6  B. Lifetime Measurements ...  XVI. Discussion XVII. Future Studies Bibliography  ... •.  ...  U8 50 52  - 1 I. GENERAL The near ultra-violet spectra of conjugated organic molecules arise from the excitation of non-localized  electrons from the higher  bonding molecular orbitals (MO) to the lowest antibonding MO.  Each  transition involving different orbitals gives rise to a new absorption peak.  The band at the longest wavelength corresponds to excitation of  an electron from the highest f i l l e d bonding orbital to the lowest unfilled antibonding orbital.  £  ach of the bands observed dsJ allowed by selection  rules, and involveslarge changes i n charge distribution, for otherwise they are of low intensity.  These strong bands may be observed i n any  phase, although they may show variation i n vibrational structure, intensity and spectral distribution. When the extent of unsaturation i s increased, the potential f i e l d in which the  electrons travel also becomes greater, so that the  innermost molecular orbitals are lowered in energy, and their electrons more tightly bound.  This results i n large screening effects, so that  electrons i n the higher bonding orbitals are more loosely bound and therefore more labile. bonding orbitals.  The opposite effect i s observed for the anti-  The net result i s that the long wavelength band i s  displaced to the red end of the spectrum.  This may be compared to the  differences found between the members of the a l k a l i or the halogen family in atomic spectra.  Since the variation i s not rapid far small changes i n  the conjugated system, the spectra of similar types of compounds vary but l i t t l e , so that assignments of the bands appearing in hydrocarbons may be compared (1), or variconjugate sequences may be built up (2).  This  practice w i l l be used extensively i n t h i s paper. The r e s u l t o f the absorption act w i l l u s u a l l y leave the molecule i n a state of high v i b r a t i o n a l excitation, from which thermal energy w i l l be dissipated before any other process occurs.  The time lapse for t h i s  operation i s very short compared with an emission processjwhere the electron drops back t o the ground state.  This being the case emission occurs  at longer wavelengths than the corresponding absorption.  In fact, so  rapid i s the thermal d i s s i p a t i o n process, emission usually takes place from the lowest excited o r b i t a l , regardless o f the part of the u l t r a v i o l e t spectrum i n which the o r i g i n a l absorption act took place. The upper states are therefore more intimately connected than one would suppose from looking at an u l t r a - v i o l e t spectrogram.  Thus, where as  many bands may occur i n absorption, only one, or possibly two, appear i n emission.  will  The observation o f these bands w i l l depend l a r g e l y  upon the experimental conditions involved, since emissioniis a r e l a t i v e l y slow process and i s only one of several competing processes leading to deactivation o f the molecule. When only one band i s observed i n emission there appears a very strong resemblance between i t and the lowest energy absorption band.  The  v i b r a t i o n a l structure and i n t e n s i t y d i s t r i b u t i o n w i l l be very much the same, i f one i s r e f l e c t e d , as with a mirror, into the other. words, these two bands are "mirror-images" (3)«  In other  Should two bands appear  i n emission, the lower band w i l l usually (but not necessarily) be of mild intensity, and w i l l have a d i s t i n c t i v e after-glow.  This may be i n t e r -  preted to mean that the t r a n s i t i o n involved i s "quasi-forbidden" and therefore of low p r o b a b i l i t y .  This emission band i s very sensitive t o  the experimental environment, as may be seen from a consideration of the rate constant for the process involved.  This value may be calculated (h)  from the absorption spectrum by means of the formula: ykdv = 3 . ^ 7  x  1 0 ° x g x lg x 1 x ke u  le"  (l)  2  n* v l  where the left hand side is the integrated area of absorption, g and g u  e  represent the multiplicities of the states involved, ^\is the index of refraction of the solvent, V is the absorption frequency (in cnf^.) A  while ke is the rate constant for the emission process. For most allowed TC-TC  transitions the value of ke is about 10 sec  while for multi-  plicity (g„ = 3 , g_ = 1 ) forbidden transitions, i t is less than one in the case of hydrocarbons.  This n- *. transition corresponds to the 3  phosphrescent band and has an upper state with electron spins a l l paired but two, and a lower state where a l l electrons are paired. Such a transition is forbidden by multiplicity considerations.  Since emission  will be observed only when ke is as large as the sum of the rate constants for a l l other non-radiative deactivating processes, the sensitivity of phosphorescence to external conditions may be easily appreciated. The rate constants for collisional deactivations are large so that observation of fluorescence, and in particular phorphorescence, i s generally restricted to low pressure gas phase experiments, or to rigid glasses at reduced temperature* To measure the lifetime, T , of the phosphorescent after-glow one can find the rate constant for the absorption process by using formula (1) and setting: ke =  i  T  The value so obtained will be the "true" lifetime, and represents the  - u time required for the intensity of emission to f a l l tol/e.of its original value.  For molecules with mean lifetimes of greater than 10"^ sec,  however, such a procedure is very inaccurate since the absorption bands are very small.  Another method is to measure directly the variation in  intensity as a function of time and to substitute the values so obtained into the equation: ke  —  2.303 (log I  0  - log I)  * 1 - *o  where I is the intensity at time t j .  T  _ 1  (2)  *  he inequality obtains in the  presence of competing processes which tend to depopulate the upper state and hence produce smaller values for T . II. ASSIGNMENT OF LONG-LIVED EMISSION TO TRIPLET-SINGLET TRANSIT IMS The five basic papers on phosphorescence published in the last twelve years (3,U,5,6) have firmly established the fact that the tripletsinglet (T-S) transition is the principal  Oiaus®  of afterglow in non-  crystalline super-cooled solutions of complex molecules.  In these works  the authors conducted their experimentation in such a manner that any postulated mechanism, other than that which they propose, cannot be considered without reservation. They have demonstrated that sueh hypotheses as ionization, crystal defects (U),  distorted or tautomeric molecules,  solvent effects, or bond redistribution mechanisms (7) could not be in accordance with the generality of the phenomenon. In order to explain the high emission intensity of the phosphorescent band compared to the low probability of absorption Kasha (17) has suggested the use of a modified Franck-Condon potential energy diagram  : 5 -  (Fig* l ) in which each potential energy line is to be considered as a section of an energy hypersurface extending through an "n" dimensional space where n is the number of conjugated atoms.  The initial absorption  of light (A) raises an electron from the ground state (S) to the coordinate  or S2, presumably with high vibrational energy. This S - S (n.—  transition is highly allowed and corresponds to the principal absorption band.  Following the absorption (A) will occur the rapid vibrational  cascade to the point where the triplet hypersurface (T) crosses that of the singlet (S^). S i n  Ce  this intersection represents a condition of  similar energy and interatomic distancecfor the two states, the electron may proceed to the zero-points of either the  or T curves.  If the  former course is taken, then emission occurs out of the "fluorescent" band.  On the other hand, emission from the T zero-point gives rise to  the "phosphorescent" band, since this transition is T - S, and is forbidden by multiplicity. The most important consideration of the above is the fact that the S - T crossover takes place in a non-radiative manner and, as a consequence, is not appreciably affected by the multiplicity selection rule which applies only to optical (radiative) intercombinations.  In  actual practice there is a small effect because usually the fluorescence yield is much greater than the phosphorescence yield.  This process will  allow relatively high concentration of triplet state molecules to be built up as long as the surface.  - T crossover is not too high on the  hyper-  On the other hand, i f the S - T crossover is very close to the  triplet state zero point, then electrons which had originally entered T could be raised by thermal (vibrational) energy back over the 3^ - T  6  FIGURE I. Energy Distribution of the Potential Energy Hypersurfaces.  crossover into theS^ state, from which emission could occur spontaneously in the fluorescent band.  Conceivably this could occur some time after  the initial absorption act, and would endow the fluorescent band with the property of afterglow.  This was called ^-phosphorescence by Jablonski  (b) who discovered the phenomenon while studying the emission characteristics of dyes.  Since &-phosphorescence arises from thermal excitation  it should have a strong temperature dependence, while the " t ^ e " or (3 -phosphoresence should not. III. SPIN-ORBIT COUPLING AND THE TRIPLET-SINGLET SLECTION RULE The selection rule which does not permit optical intercombination between states of dissimilar multiplicty is a fundamental rule of atomic spectroscopy (9) but is based upon rather idealized concepts regarding the total angular momentum of the atom.  If there is assumed to be no inter-  action between the components of orbital angular momentum (1) and the components of spin momentum (s), then the 1 values are coupled vectorially to give the total angular momentum L. Similarly the s values are coupled to give the resultant spin momentum S.  The total angular momentum  results from combining vectorially the L and S components, to give the resultant J value. The procedure is called Russell-Saunders or (L - S) coupling. i t h i n the confines of the assumptions made this principle w  must obey the "Law of Conservation of Spin Momentum", and accordingly a l l spins must remain paired through any electronic transition, or &S must equal zero.  If, however, complete interaction between spin and  orbital components is allowed, then the 1-value is coupled directly to the s value of each electron to give the resultant contribution j to the total angular momentum.  This i s known as spin-orbit (j - j) coupling, for  which term values and spin quantum numbers have no meaning. Clearly the situation which exists in reality lies between pure L - S and pure j - j coupling, since singlet-triplet transitions occur with measureable probability. The result of a first order perturbation on the inter-combination probability for atoms and molecules is, according to McClure ( 1 0 ) Tin  n  V^e)  W,l  ( ) 3  where ^ and V, are respectively the frequencies of ground to triplet and 3  ground to singlet transitions, with probabilities  and P^.  HJJ is  the matrix element of the spin-orbit operator, and AE is the singlettriplet spacing.  Since the spin-orbit operator is not calculable for  molecules, McClure uses the atomic I values, where T corresponds to the radial part of the atomic spin-orbit operator. The use of i t presupposes radial symmetry, and its value depends rather strongly upon the atomic number of the particular atom being considered.  MrCTure utilizes this  condition of radial symmetry, and with extrapolated J values, obtains crude estimates of lifetime ( T )  for carbon (0.003 sec), nitrogen  (O.OOi; sec), and oxygen (0.0001 s e c ) .  He further assumes that the  heaviest atom in the system has the dominant effect on the lifetime. McClure has suggested in a later paper (11) that the spin-orbit matrix elements may possibly cancel each other when aromatic hydrocarbons r  are considered.  This could possibly account for the long lifetimes  (ca 20 sec.) of these compounds.  A more recent paper by Mizushima and  Kiode (12) indicates that possibly the long lived benzene phosphorescence may be explained by assuming that a two step mechanism takes place.  0  -  9  -  This involves a transition from the lowest triplet to an intermediate singlet to ground.  In this particular approach Dirac's relativistic  quantum mechanics are used but yield McClure's results i f spherical potentialrsymmetry is assumed.  '^he principal contribution to the l i f e -  time comes from the transition between the triplet to intermediate singlet. While the foregoing may serve to explain the case of aromatic hydrocarbons, nothing has appeared in print to show why heterocyclics should also have long lifetimes.  Both of the hypotheses put forth for  hydrocarbons assume that each atom is similar.  In fact, the siraplifi-  cation of the relativistic terms which appear in the second paper depend upon this assumption. * IV. SYMMETRY SELECTION RULES The second selection rule commonly met in molecular spectroscopy is one which varies from compound to compound and is determined only by their respective symmetry groups.  Group theoretical considerations  (13) show that for a dipole transition between statesA and B the matrix element  will be different from zero (allowed) only i f P*  where  is the irreduceable representation of the polarization axis  (x, y or z) and  P^^fvo is  the direct product of the representations  of the lower and upper orbitals respectively.  If the above integral is  zero then the transition i s not allowed by symmetry. Vibrational perturbations may, however, disturb the symmetry of the molecule in such a manner that  -R>A  *  *  = 'fx  ^  t h e  transition becomes  allowed.  ^he direct product  ^« x>^,t 0  represents the vibronic (lU)  (vibrational x electronic) upper state, since excitation usually occurs from the zero point of Vibrational energy. in this manner are not usually strong, benzene at (15).  X2°00  Bands which gain intensity  ^he long-wave absorption of  has been attributed to a symmetry forbidden transition  Similarly, Mulliken (1U) has assigned the long wavelength aliphatic  carbonyl band to be of this type. Since symmetries are based upon idealized structures (e.g., valence bond) where a l l hybridization is assumed perfect, then i f in reality these bonds are distorted in the ground state for some reason or : .other, any higher.symmetry ascribed to such a molecule must be regarded as a first order approximation.  In this way some cr bonds may be consid-  ered to have TC characteristics and vice versa, and dipole transitions which may be forbidden for the "pure" ~rc structures may become slightly allowed for the real structure with cr character. 7. n —  TRANSITIONS  When atoms of hydrocarbons are substituted by heteroatoms very often new absorption bands appear which can only be ascribed to the presence of heteroatoms. Thus aliphatic aldehydes and ketones have absorption peaks at about A 2900, V1900, and A1700, while the corresponding ethylenes only have a band in the A1900 region.  Mulliken (lit)  has suggested that the A 2900 and M900 bands might be caused by excitation of the non-bonding (n) electrons in the oxygen atomic orbitals into the excited state molecular orbitals.  This possibility arises due to  the large electron affinity of the oxygen atom which gives rise to highly polar bands, with resultant shift of the electronic centre of gravity  - 11 towards the heteroatom.  This r e s u l t s i n looser binding of a l l the oxygen  valence electrons. Electron-impact experiments of Jowitt (16) and vacuum spectrograms of Walsh (17) indicate that the i o n i z a t i o n p o t e n t i a l of the n  n " electrons has been lowered from 17 ev. i n oxygen t o 1 1 ev. i n acetone.  This compares t o about  lh»h  ev. f o r the i o n i z a t i o n potential of the  electrons. ^he assignments given by Mulliken f o r acetone are as follows:  r  X 2900, n  —  ic , symmetry forbidden; A1900, n  —  <r  f  allowed by symmetry,  and representing excitation to an antibonding <~ o r b i t a l l y i n g along the CO bond.  The  A1700  band i s the allowed 7t - 71. , corresponding to the  A 1900 band of ethylene.  This band i s , i n the case of acetone, displaced  to shorter wavelength due t o the higher potential f i e l d i n which the "Relectrons t r a v e l . McMurry  (18) has shown that the same s i t u a t i o n exists f o r According t o Piatt (1) the n —  higher aldehydes and ketones.  band  s h i f t s t o the red only about h a l f as f a s t as the lowest TC — K t r a n s i t i o n with increase i n extent of conjugation, so that i n l a r g e r systems the n — a t r a n s i t i o n i s hidden beneath the lowest  " K - T C band.  The same situation exists f o r other systems containing thioketo, nitroso and similar groups. electrons when affixed t o a  According t o P i a t t atoms containing "n" U  system of a given s i z e , give r i s e t o bands  which appear at progressively smaller frequencies i n the order -C00H, -C=N-, -NC , - C % , -C=0, -N=N-, COCO, -N=0, where the -C00H and -N0 2  2  bands are about l£,000 em"'*', higher than the corresponding -0=0 and -N=0 bands, r e s p e c t i v e l y , ^he t r i p l e t  states associated with these ( s i n g l e t )  bands should show roughly the same correspondence.  However, the most  - 12  -  important consideration is the fact that these heteroconjugates, because they are different from carbon, introduce spin-orbit factors which may appreciably affect the triplet-singlet transition processes for the molecule. McGonnell ( 1 9 ) has shown that one possible criterion for distinguishing between n — it and  Tv - xt  transitions is by the use of solva-  tion effects, as first suggested by Kasha (20).  Solvent molecules  aggregate about a polar neter©substituted molecule in the ground state in a manner most likely to lower the energy of the system.  Upon excitation,  where a localized n electron Is shifted to a non-localized MO with the consequent decrease in dipole, the solvent-solute system no longer has a minimum energy distribution.  Thus the interaction may be considered to  be repulsive with respect to the excited molecule. Furthermore, this effect should be more pronounced with more polar solvents, so that a blue shift of n —  bands may be observed while chaning solvents from, for  instance, hexane to water.  On the other hand,  TC-TX  transitions exhibit  a red shift, or a very weak blue shift when the same progression of solvents • is used. Another possible explanation in the view of the author of the present paper, could be a protonation effect of the heteroatom, which would lower the ground state relative to the upper state. of "~c - TC  f  In the case  the reverse would hold since, in general, the upper state is  the polar structure while the ground state is the covalent structure, n — Tv. transitions usually give rise to rather weak bands even when allowed by selection rules, so that when intensity relationships are considered along with solvation effects, then Very reasonable band  - 13 assignments may be made. VI. DISCUSSION There have appeared recently a number of papers which are relevant to the problems involved i n the study of phosphorescence. Some of these have already been referred to under the subject of n — «; transitions.  However, perhaps the most important of these recent papers  was that of McClure (21) who showed the importance of quantum yield determinations in the estimation of the true lifetimes of organic compounds. This may be seen from the formula: T = To (1 - JZJf)  ($)  0P where T i s the true lifetime and To i s that lifetime found by intensity, vs.  time relationships.  The factor (1 - 0f) represents the number of  electrons i n the triplet state.  This i s the difference between the number  of photons absorbed minus the number which have fluoresced.  The ratior  of this value to the number of photons emitted i n the phosphorescent band gives the probability of deactivation by non-radiative channels.  Ther  determination of these fluorescent-phosphorescent yields i s usually very d i f f i c u l t and relatively few absolute yields have yet been published. Although qualitative estimates may be made in some cases, usually recourse must be made to experiment.  In any casesome of the arguments i n McClure s 1  t  earlier spin-orbit paper are somewhat weakened when existing values of quantum yields are used to correct the experimental lifetimes found there. Consideration of these factors has led the author of the present paper to review and reorganize some of the existing data and try to explain a few  -  Ik  -  of the anomolies found i n them. Perhaps the most s t r i k i n g feature of many compounds with short lifetimes i s the fact that the phosphorescent bands are intimately associated,with the n — X transitions which appear i n absorption.  In  many cases the absorption and phosphorescent bands bear mirror-image s i m i l a r i t i e s to each other, as for instance i n biacetyl, benzophenone and nitroscm ethane.  In each of these cases, and for most of the other examples  studied from this point of view, the n — 7C transition appeared as a separate band i n absorption, and was never concealed under the main TC--R system.  On the other hand, whenever the n —• ~^ band i s concealed by the  principal  "t-Tv.  band, then usually long l i f e t i m e s were observed.  Two  compounds showing t h i s characteristic long afterglow and hidden n — X bands are ^-methyl naphthyl ketone and benzoic acid. Such a correlation could be interpreted to mean that the l i f e time i s dominated by the lowest forbidden transition of a molecule. Thus i f the hydrocarbon t r i p l e t - s i n g l e t emission band l i e s below that of the n — u t r i p l e t - s i n g l e t , then long life-times might be expected.  This  state of a f f a i r s i s shown ( 1 0 ) both by biphenyl compounds and by methyl phenyl and, as mentioned, methyl naphthyl ketones.  In the f i r s t case,  o,o'- difluoro diphenyl has a lifetime of 0 . 8 8 - k sec. y h i l e the corresponding para isomer "has a lifetime of 3 . 2 - 2 sec. to that of the parent hydrocarbon, 3 . 6 - 2 sees.  This value i s similar In the ortho compounds  the rings are not coplaner so that there i s a blue s h i f t i n the x-spectrum compared to biphenyl.  i"his presumably exposes the n — *l band of the  r  fluoro compound. For the case of the ketones the measured lifetimes run 2 . 6 seconds for naphthalene, 0 . 9 5 seconds for^methyl naphthyl ketone and  0.006 seconds for acetophenone. Recent work i n t h i s laboratory (22) has indicated that the use of the high atomic number salts of fluorescein produces no change i n the e  transition probabilities due to spin-orbit forces.  This implies that  spin-orbit effects are somewhat dependent upon the extent to which the a. hteroatom enters into the mesomeric system, and therefore should not be too pronounced i n compounds such as halo-substituted benzenes.  The lack  of atomic number effect reported by McClure far l-halo,l-nitroso cyclohexanes, therefore, seems to be reasonable, since there i s l i t t l e overlap between the halo atom and the nitroso *- system, since the valency structure of the carbon atom i s tetrahedral. Apart from t h i s , McClure has ascribed the entire nitroso n —K transition.  band to be due to a t r i p l e t - s i n g l e t  T i s i s not l i k e l y . n  The same objection may be raised  against the assignment made by Lewis and Kasha • (U) for nitrosobenzene. These compounds behave essentially the same as carbonyl compounds i n that usually only one emission band i s observed and this band has, i n principal, measurable phosphorescent afterglow characteristics.  In fact,' the same  usually applies to any emission process which may be associated with the n —ft  process i n absorption.  One exceptional group of compounds are the  nitrogen heterocyclics which w i l l be dealt with i n a l i t t l e more d e t a i l i n a later section. The energy l e v e l s predicted*by simple molecular o r b i t a l theory occur i n degenerate s i n g l e t - t r i p l e t pairs.  w  hen inter-electronic forces  are considered, the levels are s p l i t , so that the singlet l e v e l r i s e s and the t r i p l e t l e v e l f a l l s i n energy, so that the calculated energies predict the centre of gravity of the two levels.  Configurational interaction  - 16 further splits the pair (23). - The net spreading of the two levels generally amounts to about 10,000 cm."- i n the case of aromatic hydro1  carbons (7).  Clearly, for these compounds the splitting between the  f i r s t excited singlet and the f i r s t t r i p l e t state, is primarily a function of the electronic spins involved, and not so much a function of the electronic charge, since in each case this value i s constant.  Both the  singlet ground state and the excited states have electron distributions which are spread over a large number of the atoms in the system, consistant with the LCAO (linear combination of atomic orbitals) approximation. When excitation of localized electrons takes place, as in an n — <c transition, the situation must be somewhat different.  If a hetero-  conjugated compound loses one non-bonding electron by ionization, say, then the effective positive charge i s localized upon the heteroatom, whereas excitation of a non-localized electron leaves a positive "hole" distributed over a wider range.  i  he former process would involve quite  drastic rearrangement of the nuclear coorindates of the atoms adjacent to the heteroatom, while the second case the effect is. f e l t by each atom, and accordingly, the shift i n interatomic distances should be slight.  Thus  the two processes might conceivably have marked differences i n effect. Should excitation take place to intermediate orbitals, with no ionization, the same arguments should hold, but to a lesser extent.  Since electronic  transitions which occur with large changes i n nuclear coorindates are unlikely, from Franck-Condon arguments, we are forced to the conclusion that the electons involved i n an n - A transition must remain largely localized on the heteroatom to which they were affixed i n the ground state. In other words, the process i s essentially atomic and may be considered as  - 17 a•modified Rydberg transition with an upper state determined by the molecular orbital rather than one of the-respective atomic orbitals.  The two  electrons in such transitions are therefore held quite closely together by virtue of the nuclear charge of the heteroatom, regardless of their relative spin characteristics. The spin orbit coupling operator will mix triplet and singlet states strongly (consistent with the atomic number) when only atoms are considered.  This will lead to convergence of the two states, since the  spin properties which caused the initial separation are no longer discrete quantities.  Clearly the application of these atomic characteristics to  molecules will depend upon how much the molecular process departs from that found in atoms. Therefore the extent of splitting will depend upon the extent to which the electron in the upper molecular orbital (i.e. "intermediate atomic orbital") is retained in the vicinity of the heteroatom. Obviously this will be a function of the electronegativity of the atom. This leads to the supposition that the amount of spin-orbit coupling, as well as the triplet-singlet splitting, is strongly dependent upon the electronegativity of the hteroatom as well as the atomic number. The situation may be represented in a diagraraatic way as in Fig. 2.  These illustrations show the electronic levels of the ground  states and first excited state, with potential energy as the ordinate and interatomic distance as the abcissa.  They are crude approximations to a  free electron model. " The appearance of short lifetimes therefore depends upon three factors; whether or not an n —  K  transition is involved in the lowest  excited state of a molecule, whether or not the n-atom has a high atomic  - 15 HYDROCARBON  o  o  C — C — C —C —  - c — e — c — C G r o u n d  Lo^e.sh  -Sl-al-e  C  TV.'plef-  HETEROCONTUQ/Vre:  T  3K  0 -9-  c—c —c-c-c-x Hidden r\ — T \ Triplet"  System  0  c-c—c—-c—c—X Exposed  T\—TC  Triplet' -S^sfe  Energy l e v e l s involved i n excitation of electrons i n d i f f e r e n t . systems. u  FIGURE 2  - 19  -  number and, lastly, what the effective electron affinity of tne n-atom is with respect to the rest of the molecule.  To show the trend of these  postulates i t is possible to compare the effects caused by elements of the first row, where the electronegativity increases rapidly, and the atomic number increases slowly.  Similarly one can compare members of a single  periodic family with slowly varying electron affinity and rapidly changing atomic number.  The latter plan is difficult in view of the fact that the  halide family is the only one that i s reasonably complete but suffers from the limitation that the halo atoms can never become formal members of a mesomeric system due to their unitary valency state, VII. PHOSPHORESCENCE OF ALIPHATIC KETONES As was mentioned in the previous section, some of the results of McClure's original spin-orbit paper (10) are somewhat in doubt. One such argument that is weakened is the assignment of the 51,000 cm. ^ transition as the principal perturbing singlet to thephosphorescent band of the lower ketones.  This interpretation was based uponaa correlation between oscilla-  tor strengths (f) of theanission bands and those appearing in absorption at o  1900 A.  Since the f-values are found by the formula f = i.$/i>\ , in  which uncorrected lifetimes were used, the correlation may be in part fortuitous, since corrected ketone lifetimes show l i t t l e variance The transitions involved in emission probably are n — ed n — 71 transitions. 3  (20).  , and the associat-  Previous considerations of spin-orbit coupling  would cause considerable "mixing" of these two bands, so that the principal perturbing singlet might therefore be the n — as previously supposed^ the n  35,000  c- band at 51,000 cm.'*". -  —  cm.""'" band, and not, 1  Unfortunately  a calculation by equation (3) is difficult since the evaluation of A E is  - 20 c r i t i c a l and cannot be ascribed with certainty. Any explanation offered to account for the peculiarities i n emission spectra of the carbonyl compounds must also be consistant with the concepts of spectroscopy as well as with the many results obtained by Noyes, Kaskan and coworkers (24-29) from their studies on vapor phase fluorescence of acetone and of biacetyl.  ^he salient points found in these papers and  which must be explained are: (1) Acetone has a short lived (10~^ sec.) and long lived component (10*^ sec.) (2) Phosphorescent lifetime CO varies with temperature and pressure. Increase i n 25" decreases X. by a factor of two. (3) Predissociation or other photochemical processes are involved, producing biacetyl, among other products. (U) Temperatures from 120°C. to 150°C. result i n loss of fluorescence structure.  The wavelength maximum also shifts from about l+!?2fj A o  to about U300 A>' (5) Oxygen at pressures of 20 to 100 mm. at room temperature caused the same effects as (U). ^6) Nitrogen has no effect upon structure or frequency maximum. (7) Stern-Volmer plot of reciprocal fluorescence efficiency (l/Q) versus pressure of acetone yields straight line only over 300°C, but over a certain pressure (ca UO mm.) between 200°C. and 300°C. a straight line is obtained. (8) Q i s independent of intensity. (9) As oxygen i s added, l/Q rises sharply to constant value;  as tempera-  ture is raised the variation in l/Q becomes smaller, until 200°C,  - 21  when no further change i s noted.  -  This constant value i s roughly-  independent of temperature and tends to be higher with increased acetone pressures. (10)  Nitric oxide has the same effect.  It quenches,,wavelengths longer  o  than U500 A most efficiently. (11)  Neither E> nor N  (12)  A mixture of biacetyl at 80 mm. and acetone at 200 mm.  2  cause any change at a l l . show no  structure at room temperature. (13)  Iodine reduces quantum yield for decomposition.  In addition the  absorption spectrum should be noted to have very l i t t l e structure (30)  and that photodecomposition  can only be observed on the high  frequency side of the n —s: band. The primary supposition- i s that a symmetry forbidden n — ^ transition i s involved.  If such i s the case the (o - o) vibrational  bands w i l l not be present, and the lowest frequency i n absorption w i l l be due to a ( ~ ^ t r a n s i t i o n , where ^ i s the quantum number of the vibrational a  perturbation which makes the transition allowed. est frequency in emission w i l l also  be(b-Lo)  tion belongs to the ground electronic state.  Analagously, the high-  , except that now the vibraIn this manner there w i l l  be a spacing between the emission and absorption bands of approximately 2^5 cm.  where ~* i s the lowest normal vibration leading to the perturbation.  Formaldehyde, which has the same symmetry as acetone, has y-polarized absorption bands (32).  Other considerations indicate that acetone has  the same polarization characteristics.  Such being the case, the perturba-  tion must be a carbonyl bending vibration which, for acetone^, has the value 52b cm.  (33).  This leads to an absorption-fluorescence spacing  of roughly 1000 cm.  and corresponds c l o s e l y t o the minimal value  obtained  experimentally. Assuming, therefore, that the t r a n s i t i o n involved i s indeed n — it then the e f f e c t of spin-orbit coupling must be expected.  As previously  mentioned, the most l i k e l y of the possible states t o be "mixed" are the _'rc. and n — ^  n  .  A consequence of t h i s i s that the two states should  be quite close together i n a Franck-Condon hyperspace. i s shown i n F i g . 3 . i  -  E x c i t a t i o n takes place by (A) i n the normal manner, t o the  hypersurface,  from which point v i b r a t i o n a l energy may be d i s s i p a t e d so.that  the electron reaches the ' radiation.  One possible model  T<  or  3  K zero points (  and ^b) 3  without  Fluorescence w i l l occur from » when the correct v i b r a t i o n a l ,R  perturbation occurs, and with a mean l i f e t i m e of about 10"^ second. Phosphorescence may occur from the l -° l e v e l with a longer mean l i f e t i m e lv  since such a t r a n s i t i o n i s doubly forbidden.  T  h e lack of structure i n  absorption i s p r i n c i p a l l y due t o the f a c t that the v i b r a t i o n a l l e v e l s are not d i s c r e t e l y spaced, because of mixing of the two states i n the area i n ^ dicated within the c i r c l e .  This mixing r e s u l t s i n removal of the c l a s s i c a l  turning points of a harmonic o s c i l l a t o r , such that the resultant o s c i l l a t o r i s now anharmonic i n a most unpredictable way. fluorescence should come from the ^ — 3  Most o f the structure i n  n t r a n s i t i o n , since sutely the # o J  i s the lowest l y i n g state and therefore l e a s t affected by mixing. The dashed curve (  ) i n Fig.2 represents the ~K state along  a d i f f e r e n t choice o f interatomic coordinates.  3  In t h i s p a r t i c u l a r section  of hyperspace, the t r i p l e t state molecule i s unstable to c e r t a i n undetermined modes of v i b r a t i o n , and d i s s o c i a t e s spontaneously into two molecular  - 23 «  Figure 3. Distribution of Energy Levels i n Acetone  - 2k fragments, presumably free radicals (31). Thus bond rupture may result from the i n i t i a l absorption act (predissociation) or by subsequent thermal excitation of the triplet state molecules.  The quantum yield of photo-  decomposition i s probably quite high, even at room temperature.  Since the  emission from the discrete band i s also reasonably intense, then thermal decomposition must account for a large percentage of the product formed, o  in absence of chain reactions. asymptote to the  Continuum begins at 3000 A (31) so the  state i s known relative to the ground state.  Below  this level a rearrangement mechanism i s reported to take place (3U) but the end products appear to be the same, so that distinction between this and the thermal process mentioned above cannot be considered as a serious objection. At elevated temperatures, the thermal dissociation, collisional deactivation and repopulation of the ' processes to the £ — 3  5o  level a l l serve as competing  n transition, which i s , as mentioned, chiefly  responsible for the structure observed i n emission.  The last process  named w i l l shift the emission maximum to the blue, although the same effect would be observed i f the remaining two processes completely deactivated the triplet state.  However, since oxygen produces the same effect at room  temperature, such a proposition may be discarded. n i t r i c oxide i s indeed interesting.  The action of oxygen and  Both these substances are known to be  paramagnetic and, as such, are liable to upset the singlet-triplet transition probability to a marked extent (35).  Conceivably this would have a  much more profound effect upon the singlet-triplet crossover probability than i t would upon the triplet-singlet radiative process, Since the former case i s only partly affected by selection rules (36).  If this i s the case,  then the observed r e s u l t s f o l l o w . The e f f e c t of b i a c e t y l i n removing the fin« s t r u c t u r e i s probably due t o an energy t r a n s f e r process i n v o l v i n g intermolecular c o l l i s i o n .  The  energy of the acetone t r i p l e t s t a t e molecule i s of the c o r r e c t order of "magnitude f o r such an occurence, since the emission bands of acetone overl a p ^the absorption bands of b i a c e t y l . The f l u o r e s c e n t y i e l d data are a l l consistant w i t h the proposed mechanism.  The values are expected t o drop w i t h increase i n pressure,  (concentration quenching), temperature (thermal decomposition) and oxygen content ( p r e d i s s o c i a t i o n ) .  A recent paper (29) apparently overlooked t h i s  l a s t p o s s i b i l i t y , so that the conclusions drawn up there are l e f t i n some doubt. The reason f o r the e f f e c t caused by i&dine i s r a t h e r more d i f f i c u l t to ascertain.  Since methyl i o d i d e i s formed, at l e a s t part of  the f r e e methyl r a d i c a l produced i s l o s t t o t h i s source, but does not n e c e s s a r i l y account f o r lower quantum y i e l d s .  In, view of the s o l u b i l i t y  and c o l o r o f acetone-iodine systems, complex formation seems a l i k e l i h o o d (37)•  Whether or not such a complex would have a d i f f e r e n t p r e d i s s p c i a -  t i b n a l t h r e s h o l d from t h a t of pure acetone i s not known. by Reid (36)  A recent paper  i n d i c a t e s t h a t s i z e a b l e concentrations of t r i p l e t s t a t e  molecules may be b u i l t up when complex formation takes place, and that these complexes cause abnormal break-down of s e l e c t i o n r u l e s upon photodissocation.  This i s due t o the s t r o n g l y a s s y m e t r i c a l e l e c t r i c f i e l d s  set up by the complexing molecule.  Such could e a s i l y be the case here,  although r e l e v a n t l i f e t i m e measurements would have t o be made.  The  absorption process i s p r i m a r i l y a property of the complex, w h i l e emission  -26takes place from the lowest excited orbital of one of the components which originally formed the complex.  Whether or not this would minimize the  amount of predissociation i s not known. VIII. NITROGEN CONTAINING COMPOUNDS Pyridine has an n —  transition which appears as a sidehill on  the 39000 cm. ^ T - J I transition.  Absorption spectrograms done in the gas o  phase (39) place the  transition between 3000 and 3300 A, while the  transition which appears only i n the liquid phase l i e s between 3600 e  and 1+000 A . -1  cm.  There are three diffuse maxima at 25500, 261+90 and 27500  which disappear in acid solution.  ITI  ^hese three peaks appear as the  strongest lines of the phosphorescent spectrum and therefore correspond to the lowest excited state of the pyridine molecule.  An upward limit of the  integrated absorption strength of these three bands may be placed at unity, although i n a l l likelihood the value i s much smaller. lifetime of at least one second.  This leads to a mean  By equation (l) and (3) the integrated  n — '<t absorption may be calculated to have an area of about 3 x l o \ which i s too low by at least a factor of two, consistent with the minimal lifetime chosen.  The n — m a y therefore be considered to be the principal per-  turbing singlet to thenn -^-transition.  The spectral separation of these  two bands ( A E) i s 8,500 cm." . 1  The three diazines have more distinct n —'?v bands, being f a i r l y well resolved from the main  system (liO).  Pyrazine has an emission  band with maxima about 26300, 25800, 25100 and 2UU00 cm." as determined 1  in t h i s laboratory.  The assignment of these bands is d i f f i c u l t i n the  V-/  absencVof long path length absorption spectrograms, but since the band system shifts but l i t t l e from that of pyridine, the  band must be  - 27 expected t o be approximately i n the same s p e c t r a l r e g i o n (3000 t o 3300 A). Whether or not the phosphorescent band corresponds t o t h i s emission i n part or i n e n t i r e t y cannot be ascertained without knowledge o f the n — ?c band 3  i n absorption.  I f the emission should be due p r i n c i p a l l y t o the n —  t r a n s i t i o n , we are l e d t o a separation of n -  and n — T \ 3  of not more  than U.000 cm."''" w i t h a consequent increase i n s p i n - o r b i t e f f e c t due t o the nitrogen.  The s p l i t t i n g may be lower i n t h i s case due t o the f a c t t h a t two  nitrogens i n the r i n g are " p u l l i n g " electrons toward them, whereas i n p y r i d i n e there i s only one.  Coupled w i t h the f a c t that the n —  band  has about a t e n f o l d increase i n integrated area f o r the d i a z i n e s over t h a t i n p y r i d i n e , we are l e d t o the shortened l i f e t i m e s observed by McClure, w i t h which q u a l i t a t i v e agreement i s found i n t h i s l a b o r a t o r y . The case of n i t r o and n i t r o s o compounds should be considered here. N i t r o s o aromatic compounds compare t o the carbonyl molecule p r e v i o u s l y discussed, but the n —  t r a n s i t i o n s of these compounds appear q u i t e  close t o the l i m i t o f photographic  p l a t e s (11,000 cm.~l) and w e l l beyond  the l i m i t of most p h o t o m u l t i p l i e r tubes. these compounds have been noted.  Accordingly, no l i f e t i m e s f o r  One s u b s t i t u t e d n i t r o s o methane, how-  ever, has a s l i g h t l y lower absorption region (1^,500 cm."l) and emission (13,600 cm.  according t o Lewis and Kasha ( U ) .  -^his leads t o a t r i p l e t -  singlet, separation o f some 1,000 cm. "*", l e s s than that of h e t e r o c y c l i c s , but greater than that o f a ketone. The n i t r o group i s extremely ^ d e f i c i e n t i n e l e c t r o n s . e f f e c t s should be l a r g e , and T - S s p l i t t i n g s m a l l . f a i r l y f a r toward the blue.  The n — "^  Spin-orbit should be  S - t r i n i t r o benzene, according t o McConnell (19) o  has an n —  t r a n s i t i o n at 1*000 A w e l l t o the blue o f the longest  transition.  Presumably the same holds true for nitrobenzene, since the .  lifetime i s estimated to be between 0.01 and 1 second (3), but this compound has a very poor quantum yield so that the lifetime must indeed be- much longer.  Since the n — ^  transitions in these.compounds are not the  lowest electronic process, and since not much splitting of T - 3 levels is expected by previous assumptions, then as a consequence long lifetimes for these compounds are expected.whenhquantum yield corrections are made. . These corrected lifetimes should therefore correspond to that of a hydrocarbon with approximately the same degree of unsaturation, and conversely. IX. HALO SUBSTITUTED COMPOUNDS These compounds are d i f f i c u l t to deal with, since the precise nature of interaction with the conjugated system i s not f u l l y understood. That hyperconjugation effects are present cannot be denied.  Presumably  these effects are a balance between the electronegativity and the atomic polarizability of the halogen atom.  Only one thing i s certain, fluoro-  benzene has no detectable afterglow, while the other halogens have afterglow but no fluorescence. With the exception of fluorobenzene a l l have poor phosphorescence yields.  Fluorobenzene also has a higher oscillator  strength than the parent hydrocarbon or of any of the other halogen compounds.  Estimations of the corrected bromobenzene lifetime lead to a  result which i s about six times that obtained from the well resolved (supposed) T - S band.  Although this admits to other explanations, i t  seems to indicate, by the arguments used for carbonyl compounds, that an n  — tc  band of l i t t l e splitting has occurred, so that the emission i s  again a combination of n — "R-  <a- and  (3-phosphorescence.  Whether or not an  transition should occur at such long wavelengths and with such  - 29  -  l i t t l e s p l i t t i n g i s indeed a moot question.  I f i n t e r a c t i o n w i t h the r i n g  i s small, then the e f f e c t i v e e l e c t r o n e g a t i v i t y might be quite l a r g e , but quite reasonable objection could be r a i s e d against such a p r o p o s i t i o n . However, t h i s e f f e c t should be more pronounced i n the other higher members -of the s e r i e s , namely, c h l o r i n e and f l u o r i n e .  Indeed the f l u o r i n e compound  has no detectable l i f e t i m e , while c h l o r i n e analog has a mean l i f e of 0.1 (corrected).  sec.  Thus the arguments seem t o hold i n a most q u a l i t a t i v e sense.  The low o s c i l l a t o r strengths f o r these proposed n — ^  transitions  (which  are f o r m a l l y allowed by spimetry) may be explained by using modified Franck-Condon arguments.  i  EXPERIMENTAL SECTION  X. GENERAL Most of the methods t h a t have been developed t o measure phosphrescent l i f e t i m e s by the d i r e c t method of determining the i n t e n s i t y vs. time r e l a t i o n s h i p s u t i l i z e four b a s i c components t o produce, detect and d i s p l a y the phenomenon.  Broadly speaking these are as f o l l o w s ;  f i r s t i s the u l t r a - v i o l e t l i g h t source,followed i n t u r n by a l i g h t beam i n t e r r u p t e r , detector and f i n a l l y a cathode r a y o s c i l l o s c o p e (CRO)  which  takes the i n t e r r u p t e d s i g n a l from the detector tube ( u s u a l l y a photomult i p l i e r tube) and d i s p l a y s the i n t e n s i t y v s . time curve d i r e c t l y upon the screen.  Sometimes the order of the f i r s t two components - i s reversed  so t h a t the power input of the l i g h t source i s i n t e r m i t t e n t . Inherent i n the generation of square-wave i l l u m i n a t i n g sources i s the main problem associated w i t h l i f e t i m e measurements, regardless of which of the two  variations i s used. One type of apparatus i s that described by McClure (10).  The  output of a commercial carbon arc was collimated and focussed upon one of two half sector discs which were mounted upon a common shaft.  The sample  was situated between these two discs and the phototube placed behind the last sector.  These discs were set i n such a manner that the light beam,  after passing through the f i r s t slot, illuminated the sample.  As the  shaft turned just as soon as the incident beam was "chopped" by the f i r s t sector, the slot in the second disc allowed any phosphorescent afterglow arising in the sample to reach the phototube.  The shaft was driven by a  30 cps. synchronous motor, and the sweep frequency of the CRO set at 60 cps.  Around the periphery of one disc were twenty equally spaced  notches, which ran between the poles of a small electromagnet.  This  changed the flux and thereby gave rise to a signal every 1/600 of a second. In this manner three signals were observed on the CRO screen simultaneously, the decay curve of the phosphrescent sample, a zero intensity base tiiae and the time calibration "pips".  Such an apparatus appeared to be  relatively easy to set up with readily available materials and to be just as applicable and effective as other more expensive and elaborate methods mentioned i n the literature.  Accordingly, work was begun to construct  such an apparatus. XI. OSCILLOSCOPE AND DETECTOR UNITS A Du Mont type 303 high-gain, wide band, cathode ray oscilloscope was used i n these experiments.  This instrument has rapid following  characteristics with a vertical amplifier which w i l l degrade a 0.01 usee.  *  31 -  i  rising time not more than 0 . 0 3 usee.  The sweep circuit contains a delay-  line of 0 . 2 5 (*sec to obviate d i f f i c u l t i e s i n sweep starting times. Time calibration circuits are built i n so that signal time characteristics may be estimated from damped oscillations of 100, 10, 1, and 0.1 ^osec. peak to peak, within recording camera.  This CRO i s also equipped with a 3 5 mm. fixed focus The photographs taken were enlarged 3 5 times by an  enlarger built in this laboratory. The calibration dials were checked against a Hewlett-Packard Oscillator, model 2020. This device i s reputed to be accurate to within a 1% error. The phototubes used were RCA Radiotron 931A, with an S-l; response. These are eleven stage photomultiplier tubes using "a 1000 volt activating potential.  The output of the phototube was connected to the T-input  terminal of the CRO by coaxial cable to reduce extraneous pickup to a minimum. XII. ULTRA-VIOLET SOURCES A number of different irradiation lights were used.  It became  quite apparent early i n the research that selection of possible sources was limited to those using direct current. This i s i n i t s e l f very unfortunate, since i n the absence of expensive equipment such sources are of extremely low wattage output.  This restriction i s necessitated by the  fact that i f AC sources are used and the light beam interrupter i s not to synchronized/the exact 60 cps. or some multiple thereof, there occurs an interference phenomenon which causes fluctuation of the incident intensity. This results i n vertical wandering 'of the trace which i s being displayed upon the screen of the CRO.  Carbon arcs have a rather limited ultra-violet output, but a very constant indensity.  Iron arcs give a reasonable amount of ultra-  violet radiation, but tend to sputter, yielding a trace which " j i t t e r s " considerably.  Aluminum, copper and magnesium have the same limitations.  A comromise can be reached to some extent by using a carbon (upper) cathode and iron anode. • This couple may be used to advantage in some situations. A low pressure DC mercury arc was- also constructed, but i t gave an irregular output which was incapable of being properly focussed. The use of spark discharges was also investigated. These were obtained by shorting a 20 ^condenser, charged to 1000 v., between two magnesium terminals.  The illumination was f a i r l y intense but, as w i l l be  seen later, was of no great consequence with respect to resolution of the problem. , The use of such low intensity sources immediately present d i f f i c u l t i e s with respect to the optics of the system, since light losses by scattering and reflection must be cut to an absolute minimum i n order to obtain a^ignal of reasonable intensity and stability.  This particular  phase of the work occasioned considerable d i f f i c u l t y , and required a large percentage of the time spent in doing this present research.  However, a  certain amount of success was attained in reducing light losses to a minimum. XIII. LIGHT BEAM INTERRUPTERS Two different methods of generating squarewave illuminating sources.  The f i r s t of these was patterned essentially after the  previously described apparatus of McClure, except that the CRO time calibrating circuits were used rather than the magnetic impulse method.  - 33  -  The straight drive coupling upon the original apparatus as received from the workshop was replaced by a step-pulley V-belt linkage.  This gavea  unit with variable speeds and appreciably less vibration. The original light gauge copper sectors were replaced by l / 8 " copper discs, with a slot of 90° of arc cut beyond the U" radius. The discs were then carefully balanced on level knife edges. A light-tight box was also constructed in such a manner as to divide the unit into three parts. One contained the ar§ the second the sample and discs, and the last contained»the phototube housing. After a l i t t l e use, however, the brass journals showed signs of excessive wear, and gave rise to an anharmonicity of revolution, such that synchronization with the sweep frequency of the CRO could no longer be obtained. Accordingly, two ball bearing mandrels were ordered. Oneone was mounted a 3/H x 19" aluminum disc with 60 radial teeth cut into the n  periphery. With this disc i t was hoped to reduce the lower limts of l i f e times detectable by the present method. While the teeth were cut with the absolute minimal tolerance of professional gear-cutting machinery, they were s t i l l not absolutely true, so that the recurrent traces displayed upon the CRO were not exactly repetetive. Upon the second mandrel was mounted an aluminium base 10" phonograph recording, slotted through 90° of arc at the 8" radius. The traces obtained from this generator were very clear and, in general, the operation was very smooth. The range of l i f e times which could be measured using this machine were those between about -3  0.1 and 10  seconds. Very few compounds had lifetimes within this range.  The arrangement of the apparatus may be seen in Fig. U» The lower limit of lifetimes which could be measured is set by  - 34 -  "TABLE  OF CO^ONEHTS  X. Arc S o u r c e .  2.  ft.  /fl> H-"P.  Mofor  l  s>. Quart's X)etoar-  Screen  Phofofobe  3. Wqf"e>- Filter  1Q.  4. Q u a r l - ? Lens  II  5. I r i s . D i q p h r a g m 4 Pilfer  12.  Signal L e a d  15  l O o o  1A-.  Gs«< Hoscop<z.  6.  Tr>rev-t-up * ' "Disc 7 Boll Bear/no, M a n d r e l Cr  Figure 4« Arrangement of Apparatus  v.  HooSiruy  T ooo«r 3  'PaCfc.  - 35 the speed of the disc. To increase this speed above 3600 rpm. involves some personal hazard, as well as introducing an excessive flutter on the displayed signal. Since i t was desired to reduce the lower limit of the lifetime range by another factor of a hundred or so, methods other than those described have been investigated quite recently. Instead of attempting to synchronize the sweep frequency of the CRO with the frequency of revolution of the disc, i t proved possible to use the output of the phototube to trigger the sweep of the GRO as well as to provide a signal ibr the Y-input.  This may be done by keeping the  grid bias of the gating multivibrator tube  V-205~A such  that i t cannot  conduct until triggered by a potential in the opposite sense. potential can be provided by the signal from the phototube.  This Accordingly,  the signal lead i s passed f i r s t to the T-input of the CRO and then to the external triggering circuit with a 1 megohm resistor in series.  Using  this variation i t should be possible to measure lifetimes to the order of 100 H sees, quite accurately.  The principal advantages of such a method  are that the duration of afterglow may be measured almost independently of the speed and harmonicity of the interrupter. Furthermore, the sweepwriting controls admit to complete variation so that the signal may expanded to any desired size.  The lower limit is therefore determined by  the rate of cut-off of the light beam. culty.  be  Herein l i e s the principal d i f f i -  Rapid cut-off i s very d i f f i c u l t to obtain.  While horizontal j i t t e r  is eliminated, varying intensity of illumination triggers the sweep at different parts of the cycle, so that vertical j i t t e r i s obtained.  The  use of a carbon arc eliminates this last fault, but, as previously mentioned, has a lower output of ultr-violet light than some of the other  - 36  -  arcs mentioned. A number of f l a s h sources were i n v e s t i g a t e d f o r p o s s i b l e a p p l i c a t i o n t o the s e l f - t r i g g e r i n g sweep technique. extremely slow c u t - o f f speeds.  Camera shutters have  The spark discharge mentioned e a r l i e r  a l s o s u f f e r s from the same l i m i t a t i o n .  A i r j e t s were-aimed across the  terminals t o d i s s i p a t e the heat and the ions formed during the discharge. While t h i s showed some improvement, the r e s u l t s were s t i l l f a r from satisfactory.  Rapidly r o t a t i n g sectors appear to y i e l d the best c u t - o f f  c h a r a c t e r i s t i c s f o r any purely mechanical method. XIV. SAMPLE SUSPENSION As was p r e v i o u s l y mentioned, the use of low i n t e n s i t y arcs necessitates p r e c i s e o p t i c s w i t h a minimum number of i n t e r f a c e s .  The  f i r s t i n v e s t i g a t i o n c a r r i e d out concerned the use of Pyrex test-tubes t o hold the frozen g l a s s .  The usual procedure i n the l a b o r a t o r y i s t o  d i s s o l v e the sample i n a t e s t tube f u l l of EPA (5 parts ether, 5 parts isopentane t o 2 parts alcohol) and freeze the whole i n l i q u i d n i t r o g e n . o  Since Pyrex absorbs below 3000 A quartz must be used f o r determinations below t h i s point.  However, i f the w a l l s of the test-tube can be made t h i n  enough, Pyrex may be used much f a r t h e r down i n the u l t r a - v i o l e t .  Accord-  i n g l y , attempts were made t o produce t h i n walled f l a t faced Pyrex  "bubbles".  The f i r s t t r i a l s were made by blowing bubbles of g l a s s and compressing two sides together w i t h tweezers f i t t e d w i t h l a r g e f l a t ends.  The v i a l s prod-  uced i n ' t h i s manner v a r i e d considerably i n t h e i r dimensions.  Highly  polished carbon moulds were therefore prepared and glass blown i n t o them. These v i a l s were much more consistant i n s i z e and thickness and were, i n f a c t , q u i t e good i n the o p t i c a l sense, but would not stand the thermal  - 37 shock of sudden c o o l i n g i n l i q u i d nitrogen.  This was thought t o be due t o  s t r a i n s introduced i n t o the glass by r a p i d c o o l i n g while i n the mould. Heating the mould t o a red heat helped a l i t t l e , but the product was s t i l l u n r e l i a b l e with respect t o f r a c t u r e on c o o l i n g or rough handling. Another i n t e r e s t i n g method o f sample suspension i s t h a t o f using a square metal rod w i t h a s l o t m i l l e d i n t o one end t o a depth of about 3/l6 of an inch, and f l u t e d a t the other end. This s l o t forms three sides of a w e l l , of which the f o u r t h c o n s i s t s o f a f i l m of cellophane  stretched  across t h e side o f the bar and r e s t r a i n e d i n t h i s p o s i t i o n by masking tape.  The sample i s introduced i n t o the t o p o f the w e l l with an eye-  dropper as soon as the bar has reached thermal e q u i l i b r i u m with l i q u i d nitrogen.  The cellophane cannot be removed a f t e r the sample has f r o z e n .  This method admits t o p o s s i b l e use when i t i s desired that the l i g h t beam should not pass through the w a l l s o f a dewar, f o r t h e metal bar may be placed so that the sample protrudes above the t o p of the f l a s k , while the lower end i s immersed i n the l i q u i d n i t r o g e n .  Aluminum was found t o be  b e t t e r i t h a n brass i n the construction o f the bar since the polished surfaces are h i g h l y r e s i s t a n t t o t a r n i s h . Aluminum a l s o has b e t t e r thermal c o n d u c t i v i t y and u l t r a - v i o l e t r e f l e c t i o n c h a r a c t e r i s t i c s than does brass. Perhaps the most g e n e r a l l y a p p l i c a b l e method o f sample preparat i o n developed r e c e n t l y i s the "popsicle" technique.  This c o n s i s t s o f  f r e e z i n g the desired s o l u t i o n i n a mould made from square brass tubing. When the sample has almost s o l i d i f i e d , which takes about ten minutes, a " s t i c k " i s pushed j u s t below the surface of the glass and the mould w i t h the contained o p s i c l e completely immersed i n t h e l i q u i d n i t r o g e n f o r another two or three minutes.  The excess nitrogen i s then puured o f f ,  and the mould plunged into water at room temperature and of depth only slightly less than the height of the mould. At the same time the stick is pulled until the glass slides free from the sides of the mould, whereupon theppsicle is reimmersed in liquid nitrogen to prevent further melting.  The pppsicle so produced has flat sides and will transmit light  to the limit of the solvent itself.  Three moulds were prepared, with  highly polished inside walls, the last abrasive used being buffing powder in o i l applied with a leather strop.  The ends of the moulds were  machined to f i t snuggly and pinned in position.  Two of these three  moulds have 18 mm. inside dimensions while the other measures 8 mm. from face to face.  The best "sticks" to use are wooden dowels with a brass  screw partly driven into one end of each. It is impossible to immerse ? such a stick too far into the glass in the manufacture of a popsicle and, further, the sample is not as likely to f a l l off upon subsequent handling as is the case with the more thermal conducting metal sticks first used. The solution and mould should be frozen simultaneously, for when the liquid is poured into the cold mould, a clouded glass often occurs.  Much higher  concentrations of solute are obtained by cooling the sample slowly. The study of the polarization properties of emission was also r attempted. Thin films of cellophane may be prepared containing small amounts of solute. If this film is stretched, a turning moment is given to the solute molecules so that they become oriented along one axis.  The  light emission from a sample prepared in this manner should be partially polarized.  An ether solution of collodion and benzophenone was poured  onto a plane glass surface were not very pliable and crystallized out pure benzophenone readily.  Sheet "Parafilm" was investigated for use as  - 39  a base*  This material i s very pliable and retains the distorted form  once stretched. however.  -  No easy way could be found to affix a sanple to i t ,  This material also has a very long-lived phosphorescence at  liquid nitrogen temperatures.  This emission has no visually detectable  polarization (using "polaroid" plates). XV. EXPERIMENTAL RESULTS A.  A calibration of the Du Mont Oscilloscrope dial settings against  the Hewlett-Packard oscillator are as follows: 1 . Time Calibration Dial Setting (CRO) 100  H.P. Setting  sec.  97.5 9.3  10 1 0.1  sec  *  0.78 0.067  2 . Multiplier B Dial Setting (CRO)  Read  i+OOO  U076  1000  1019  200  200  U0  37.1  10  11.23  2  2.16  0.3  (ca)0.32  - ho 3. Multiplier G Dial Setting  Read  0.25  0.18  0.5  0.7  1.0  1.0  2.0  1.8  5.0  2.78  These values are corrected as nearly as possible for parallax arising from the fact that the trace appeared upon the curved cathode ray grid.  The maximum deviation from these average values i s - 3%.  The  largest error produced i n the present method arises in the enlargement procedure.  This error i s detectable but not extremely large, and was  minimized by projecting a picture of a 60 cycle sine wave and adjusting the enlarger until the peak to peak measurements were equally balanced on either side of the optical axis of the enlarging system.  The variation  in the peak to peak measurements so determined was no more than 5% between those at the centre of the negative compared to those at either side. The errors i n the present method are thBrefore small. B. Lifetime Measurements The most accurate lifetimes determined were determined by the following procedure.  Using the same solvents a blank was prepared i n  each case for comparison against the sample. In this way compensations for any extraneous time constants i n the electrical circuits were made.  The  glasses from these two runs were placed i n the apparatus and the recurrent signal adjusted until the desired trace was obtained. A picture was taken.ofethe sample and exposure of the time calibration curve superposed  at the bottom of the same frame. of the blank.  The following frame contained a picture  Subsequent to developing the negative pairs were placed  upon each other in the correct positions and .fixed there with masking tape. Each pair was projected, the intensity being, taken as the vertical displacement' of the sample curve from the zero-intensity" line, 11  i'he time ratio  was calculated from the peak to peak distance of the time calibration damped oscillation. the best slope taken.  .These results were plotted on semi-log paper and Two representative prints are shown i n Fig. 3>a.  Experiments designed to ascertain solvation, concentration, temperature and complex formation effects were conducted. A series of runs were done using a methyl cyclohexane (3> parts) and isopentane ( l part) glass containing various amounts of benzophenone. A comparison set was also run with benzophenone using an alcohol glass (8 parts ethanol, 1 part methanol and 1 part isopropyl alcohol).  Both series were determined at  -190°C. For the non polar hydrogarbon glases t h e effective concentrations of benzophenone were 3 x 10" ^M, 3 x 10~^M  and 3 x 10~^M.  At concentra-  tions above this range benzophenone separated out, while concentrations below the lowest quoted above gave rise to emission of too low intensity to measure.  Comparison  b f e t h e  results found within  thasB  range compared  very favorably with the corresponding range of concentrations of the lifetimes determined for the alcohol solvents. Within the range of concentrations studied for both solvents no variation i n lifetimes could be detected. Concentrated alcoholic solutions of anthracene, ft naphthylamine, naphthylamine hydrochloride,  naphthol, trinitrobenzene (TNB) and  trinitrofluorenone (TNF) were mixed with the correct volume of stock  - 42 ( i ) -  Figure 5a. Superposition of the traces obtained for Benzophenone and EPA blank - 180°C.  - 42 ( i i ) -  Figure $b» Trace of Benzophenone at - 180°C. Upper curve showing non-exponential character, while lower one i s logarithmic.  -  U2  (iii) -  Figure 5c. Trace obtained from Original Apparatus.  (65»8 mg/cc.) benzophenone in alcohol to give approximately l s l molecular ratios.  The resulting solutions were then made up into E.P.A. solutions,  and their lifetimes determined at - 1 9 0 * 0 . , to ascertain whether or not any complex formation took place and, i f so, what effect there would be upon the transition probability.  In each case the blank contained the correct  concentration of complexing agent. No effect could be detected.  All  lifetimes so determined were found to be within the range O.OOU - 1 , the value of the lifetime of benzophenone in E.P.A. Attempts to measure the temperature effect upon the lifetime of benzophenone were not successful.  The first attempt was made by allowing  the liquid nitrogen to boil away from a dewar containing the sample. Unfortunately, as the temperature rose slightly above -190°C, the isopentane of the E.P.A. began to liquify and evaporate. This caused a sharp decrease in the phosphorescent emission to a level which could not be determined. Certain polar glasses are available for use at alcohol-dry ice temperatures, but apparently give rather large solvation effects. This may be seen from the comparison spectrograms in Fig. 6 . A large number of other compounds were investigated in order to ascertain lifetimes. Acetophencne has a lifetime of 0 . 0 0 6 * 2 seconds and benzil a lifetime of 0 . 0 0 3 - 1 second, both from E.P.A.  Both of these  compounds have rather high quantum yields, but most of the others studied showed very l i t t l e luminescence. Benzalacetone was distilled in vacuo and crystallized out of the melt. This compound gives rise to a faint royal blue luminescence. A number of derivatives of ketones and aldehydes were prepared in the hopes of finding a lifetime of the imine (-C=N-) structure to give a direct comparison to the corresponding carbonyl compound.  - kh -  Fnt<sueNcx  ( CKI"  1  « 10" )  Figure 6. Emission Spectra of Benzophenone. (a) EPA - 180°C. (b) Diethylene glycol - 90°C.  - 1*5 Representative oximes, semi-carbazones, phenyl hydrazones and azines of benzaldehyde, acetophenone, benzophenone, bezalacetone and acetone, were prepared. None of the compounds gave rise to emission which was of sufficient intensity to be studied with the present apparatus. Even the powerful (1000 watt) G.E. AH-6 high pressure A.C. mercury arc was not sufficient to give quanitative results.  Benzaldehyde, however, has a  short lifetime, estimated to be about 0.002 seconds.  This result is not  too accurate, however, because full amplification of the CRO was used in combination with the AH-6 AC arc, and the resulting signal was not very steady. Using methylcyclohexane.- isopentane glasses swept for two hours with "Premium Grade" nitrogen gas to rid these solvents of dissolved oxygen produced no variation in the lifetime of benzophenone. This attmpet was made to see whether or not the same effect could be obtained for a solid phase determination as is for the case of a cetone in the vapor phase (Section VII).  It may well be the case here that more  rigorous out-gassing is required before the threshold concentration for the oxygen effect is reached. the benzophenone might  voU/be  In complete absence of oxygen the lifetime of longer. However, the complete removal of  oxygen is an extremely difficult task, and the result here quoted must not be taken as conclusive evidence. C. Trinitrobenzene "Complexes" with KCN A short study was made upon the effect KCN has upon s.trinitrobenzene (TNB) and oolorlooo 2,U,6-trinitrobenzoic acid (TNBA). When the almost colorless aqueous solutions of either of these compounds are prepared, addition of KCN resulted in a red luminescent red solution.  -JjS Under the influence of ultra-violet light an orange-colored emission was observed. It was found later that the same effect could be observed by the addition of any base, but not with metallic sodium in dry xylene solution. By the addition of various sodium salts of weak acids, the strength of the acid TNB was found to be between that of carbonic and hydr cyanic acids ((Kj-~= 10 1^ and.id^P.). Concentrated caustic produced no further change, in color. When a solution of TNBA is made basic a time lag of some five seconds may elapse before a color change occurs. D. Solvent Studies Attempts were made to find non-polar glasses suitable for making glasses at dry ice-alcohol temperatures. Cyclohexane and mixtures of nheptane and isoctane were tried but were found unsuccessful, as cyclohexane preferentially crystallized out of the lower melting substituents. The recently reported glasses made from pure cyclohexane required rigorous outgassing and elimination of a l l liquid-vapor interfaces. Such procedures are extremely inconvenient for facile laboratory procedure 0+2 ). Both diethylene glycol and glycol have been found to be much superior to glycerol at this temperature, since neither of these compounds fluoresce, and may be readily distilled in vacuo.  Neither suffer from the extremely  high viscosity found with glycerol at room temperature and both are excellent solvents, particularly the diethylene glycol.  The last traces  of water cannot be removed from the technical grades by distillation and may begin to crystallize out after a short time at the lower temperatures. These glasses are therefore satisfactory i f used immediately, but the use of analytical reagents i s suggested for more stable glasses. Alcohol and ether were added to these glycols to see whether or not a glass could be  - hi produced at both dry ice-alcohol (-?0°C) and liquid nitrogen (-18G°C.) temperatures.  This was not successful.  Mineral o i l makes beautiful glasses at -90°C., but fluoresces quite strongly in the blue, probably due to the presence of ketone groups. The use of this solvent i s suggested for fluorescent studies in spectral regions well removed from the above blue band.  The glass so formed i s  actually the only non polar glass found to solidify at dry ice- alcohol temperatures.  -  Several attempts were made to get room temperature glasses. Boric acid glasses were tried with small amounts of acetophenone, but the mutual solubilities were such that no emission from acetophenone was obtained.  Boric acid i t s e l f gives rise to a pink emission.  Sucrose-  water glasses were prepared but most compounds studied had limited solubilities in water. An optimum concentration £or the glass i s 300$ by weight of sucrose added to l u l l i n g water and allowed to cool. Alcoholsucrose glasses were not obtained.  Gelatine and Difco Bacto-Agar ,,  ,,  fluoresce with a blue color at room temperature. The addition of a small amount of isopentane (5 - 10$ by volume) has been found to stabilize many glasses which normally crack at liquid nitrogen temperatures.  In view of the work done with EPA at the different  temperatures previously mentioned, i t i s f e l t that addition of this compound results in a glass remaining very nearly fluid until a temperature which is not more than 20°C above that of liguid nitrogen.  Evapora-  tion of isopentane i s probably the principal reason why glasses may not be frozen a second or third time, once they have been warmed to room temperature.  -  ko  -  XVI. DISCUSSION It has been shown that i t i s possible to measure the phosphorescent lifetimes of certain organic compounds by the methods described. Two limitations to the method s t i l l remain.  First of a l l each  of the  sources of ultra-violet light which waso available wasj entirely too weak to measure the afterglow for most compounds. While several, methods were devised to minimize light losses, the incident beam was s t i l l of too low an intensity to make the method generally applicable.  The  absence of absolute quantum yields further invalidates any results that were obtained.  Accordingly the results of the experiments designed to  determine the effect of concentration and of the polarity of the solvent are l e f t i n some doubt.  Assuming therefore that the quantum yields  are constant i n each of these cases, i t may be stated that the lifetime of benzophenone does not depend upon the concentration (within the limits studied) nor upon the jilarity of the particular solvent within which i t is dissolved. The negative results obtained from the experiments designed to study the effect of complex formation are also somewhat dubious i n the absence of quantum yield determinations.  The formation of weak complexes  may be assumed to be an equilibrium reaction.  If the equilibrium  constant i s small, however, then the unassociated benzophenone would give rise to a signal of the correct form.  Therefore, on the basis of the  lifetime results alone, the formation of complexes of benzophenone with aromatic amines and phenols and hydrocarbons (electron doner molecules) is not indicated. Nor i s complex formation indicated with trinitrobenzenes and trinitrdfluoreHone (electron acceptor molecules).  The dependence of the lifetime of benzophenone upon temperature could not be decided. Any results obtained with the diethylene glycol glass were somewhat invalidated by the fact that the spectra are not similar.  If the effect was purely that of temperature, a slight red shift  would be expected, with a possible reduction or intensification of some of the vibrational bands. The result obtained was totally unexpected, and was attributed to solvent-solute interaction of an undetermined nature. If the effect was purely one of temperature, rather drastic rearrangement of the present concepts of spectroscopy would be indicated. As mentioned before, the lack of determination of an oxygen effect upon lifetimes of organic phosphors was attributed to the fact that oxygen concentrations much beyond the optimum required to produce an effect were s t i l l present and the result must therefore be taken aa inconclusive. While observing the trace obtained in a lifetime determination, often a non-exponential component was obtained as in Fig. 5(b). The effect was not reproduceable. A disc with a very narrow slot in the periphery was made up, and a sample of benzophenone irradiated in the TC-K region. Since the effect did not obtain, i t was assumed that the phenomenon did not arise from the emission band being "fed" from a different, shorter-lived upper state. The explanation is s t i l l unknown. The lower part of the curve yields the same measured lifetime as that obtained when the phenomenon does not occur. The results obtained from basic solutions of trinitrobenzene and trinitrobenzoic acid indicate in the first case that an acid-base reaction has occurred, resulting in the formation of a TNB anion. In the case of TNBA, evidently spontaneous decarboxylation occurs before  - 50 formation of the same anion. This view is supported by Hickinbottom (I4I) and by the fact that, often a time lag was observed before the change in color was obtained. The exact formulation of the colored anion is difficult to ascertain.  Presumably the molecule, on dissociation, loses  a proton, leaving an unshared pair on one carbon atom. These electrons 2  will be in an SP  orbital and are localized in the plane of the molecule.  SChe consequent fate of these electrons cannot be decided. If the pair remain localized then the red coloration may be due to an n - ^ transition. . Such an explanation seems unlikely, since i t is probably nonlocalization which gives rise to ionization in the first place. What a appears to be/more likely explanation appears when a free radical electron distribution is assumed. In this case, the distribution of the electrons is non-localized, and they may appear with zero energy upon any of the ortho carbon atoms and any of the nitrogen atoms of the nitro groups. This would lower the electron ^deficiency of present in the latter groups, so that, in effect, they behave more as. nitroso groups.  This results in  an n — TC transition of a different sort. There are difficulties with this, or with any other explanation that can be proposed. Since TNB gives no colored complex with metallic sodium, as benzophenone does, a stable free radical-ion process may be eliminated. The true explanation at the present moment remains obscure. XVII. FUTURE STUDIES If plans are made to carry on the work of the measurement of the lifetimes of organic phosphors, two factors should be immediately considered. The method as i t now stands is applicable to only a very few  - 51 compounds with sWtense emission bands. The only solution to such a difficulty is the purchase of a very steady, high wattage D.C. source, or the construction of a discharge tube,which may be activated by a square-wave electrical supply ( 2 8 ) .  The second consideration is with  regard to accurate fluorescence yield determinations. Any effective change in lifetime must be checked against a change in luminescent efficiency, as was previously indicated.  Should these problems be met  with successfully, then perhaps the best piece of experimental work that could be done would be to prove the temperature dependence of the various n — «v transitions in which l i t t l e triplet-singlet splitting occurs. The problem would be difficult, since quantum yield determinations conducted in the normal way do not differentiate between fluorescence and ^-and (3 -phosphorescence, but do, i n fact, measure the total fluorescence efficiency. No suggestions can be made as to the method of differentiation, but vigorous elimination of dissolved oxygen is a necessity. The problems involved are complex and interdependent, so that final resolution of them seems at the moment far away. Such being the case, perhaps future research time should be directed along more productive channels until some different methods are discovered which will finally lead to solution of the problems involved.  - 52 -  BIBLIOGRAPHT 1. Elevens, H.B. and Piatt, J.R.  J . Chem. Phys., 17, 470 (l°u°)  J . Chem. Phys., 19, 101 (1951)  2. Piatt, J.R.  3. Lewis, G.N. and Kasha, K  J . Am. Chem. Soc, 66, 2100 (1944)  4» Lewis, G.N. and Kasha, M.  J . Am. Chem. Soc, 67, 994 (1945)  5 . Lewis, G.N. and Calvin, M.  J . Am. Chem. Soc, 67, 1232 (1945)  6. Lewis, G.N. and Lipkin, D.  J . Am. Chem. S o c , 6 4 , 280 (1942)  7. Kasha, M.  Chem. Rev., 4 l , No. 2. (1947) Z. Physik, 9h, 38 (1935)  8. Jablonski, A. 9. Herzberg, G.  Atomic Spectra and Atomic Structure, 2nd ed.,  Dover Publ., (1944) 10. McClure, D.S.  J . Chem. Phys., 17, 905 (1949)  11. McClure, D.S.  J . Chem. Phys., 20, 662 (1952)  12. Mizushima, M., Koide, S. J . Chem. Phys., 20, 765 (1952) 13* Eyring, H., Walter, J. and Kimbull, G.E. Quantum Chemistry, . John Wiley and Sons (1944) l 4 « Mulliken, R.S. 1 5 . Sklac, A.L.  J . Chem. Phys., 3, 574 (1934)  J . Chem.Phys., 10, 135 (1942) Phys. Rev., 46, 616 (193U)  16. Jewitt, T.N.  Phys. Rev., 46, 529 (1934)  17. Price, W.C. 18. McMurry, H.L.  J . Chem. Phys., 9, 231 (194l)  19. McConnell, H.  J . Chem. Phys., 20, 700 (1952)  20. Kasha, M.  .  Disc. Faraday Soc No. 9», 14 ( 1 9 5 0 ) .  21. Gilmore, E.H., Gibson, G.E. and McClure, D.S.  J . Chem. Phys., 20,  829 (1952)  22. Adam, F.C.  —  Thesis for B.A, degree, U.B.C.  23. Pariser, R. and Parr, R.G.,  J . Chem. Phys., 21, 466 (1953)  - 53 2l+. Hunt, R.E. and Noyes, W.A., J r .  J . Am. Chem. Soc, 70, U67 (191+8)  25. Kaskan, W.E. and Duncan, A.B.F.  J . Chem. Fhys., 16, 223 (191+8)  26. Luckey, G.W. and Noyes, W.A., Jr.  J . Chem. Phys., 19, 227 (195l)  27. Luckey, G.W., Duncan, A.B.F. and Noyes, W.A., J r .  J . Chem. Phys.,  16, 1+07 (191+8) 28. Kaskan, W.E. and Duncan, A.B.F.  J . Chem. Phys., 18, 1+27 (1950)  29. Groh, H.J., Jr., Luckey, G.W. and Noyes, W.A., Jr..  J . Chem. Phys.,  21, 155 (1953) 30. International Critical T&les, Vol. 5«, p. 376. 31. Rollefson, G.K. and Burton, M. 32. Dyne, P.J.  McGraw-Hill (1929)  J . Chem. Phys., 6, 67U (1938)  J . Chem. Phys., 20, 811 (1952)  33. Kohlrausch, K.W.F.  Ramenspektren, Hand-und Jahbuch der Chemie  Physik, Vol. 9., Leipzig U9U3) 3l+. Burton, M. and Rollefson, G.K. 35- Galanin, M.D.  J . Chem. Phys., 6, 1+16 (1938)  C.A., 1*6, 8971 (1952)  36. Sponer, H. and Teller, E. Rev. Mod. Phys., 13, lU, p. 75 37* McConnell, H., Ham, J.S. and Piatt, J.R. J . Chem. Phys., 21, 66 (1953) ~ 38. Reid, C. J . Chem. Phys., 20, 1211+ (1952) 39. Reid, C. J . Chem. Phys., 18, 1673 (1950) 1+0. Halverson, F. and Hirt, R.C.  J . Chem. Phys., 19, 711 (1951)  1+1. Hickenbotton, W.J. Reactions of Organic Molecules, p. 322, Longermans (1936T. 1+2. Phibbs, M.K. and Schiff, H.I.  J.C.P. 17, 81+3 (191+9)  


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