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    Indian J Phys 4 57-78 1929)

    The relation between colour and molecular structure inorganic compoundsC V RAMAN, F R SandS 3HAGAVANTA.M

    (Received for publication on 23rd April 1929)

    Abstract(a) After a brief review of the existing theories, the paper considers therelationship between colour and constitution in organic compounds from a newand fundam ental standpoint suggested by a comparison of the structure and thephysical properties of diamond and graphite.(b) A remarkable and very general perallelism between the colour or lightabsorption, and the degree of optical, electrical, and magnetic anisotropy of themolecules is revealed on an examination of the data o f(a) light absorption, (b) lightscattering, (c) electric birefringence, (d) magnetic birefringence, (e) magnecry-stalline behaviour, and ( f ) crystalline birefringence of carbon com pounds. Thosestructures and groups that tend to favour the development of colour also tend ingeneral to enhance the degree of optical, electrical and magnetic anisotropy of themolecule, The facts covered by the theory of chromophores an d auxochromes ,the quinonoid hypothesis and the strain theory of colour are simultaneouslyincluded within this single generalisation.

    (c) A theoretical basisfor the generalisation is furnished by the electron theoryof dispersion, taken together with certain hypotheses (due to J J Thomson andL Silberstein) regard ing the origin of the optical an isotropy of molecules, whichare supported by observational data regarding refractivity, dispersion andpleochroism of organic compounds.(d) he mechanism of light-absorption is briefly discussed, with reference toelectrical conduotivity, and the special type of photoconductivity observed inilluminated crystals of high refractive index.

    1 Introduction \The older theories of colour in organic chemistry such as the theory ofchromophores and auxochromes and the quinonoid hypothesis are adequately

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    C V R A M A N : S C A T T E R I N G O F L IG H TTable 11 Data of optical anisotropy

    Aromatics Aliphaticsfor vapour) for vapour)Substance rxlOO Substance rxlOO

    BenzeneTolueneChlorobenzeneBromobenzeneNitrobenzene0 itrotolueneM. NitrotolueneAnilinePyridineNaphthaleneQuinoline

    Carbon tetrachloriden-HexaneHeptaneIsopropyl alcoholOctaneAlly1 alcoholTrimethyl carbinolBromoformChloroformP-IsoamyleneDiethyl ketone

    for the anisotropy of a substance becomes extremely pronounced with increasingvalues of r. A depolarisation factor of 10 means th at th e optical polarisability inone direction is nearly 4 times than in others. Thus in the very struc ture of anarom atic compound is implied a high degree of molecular anisotropy. C ertaintypes of modifications introduced in to its structure, produce a still higher opticalanisotropy accompanied by a development of colour. Further, it is also clear thatin the aliphatic series, normal saturated compounds like hexane, heptane andoctane have very moderate values for whereas diethyl ketone, allyl alcoho l,P-isoarnylene and bromoform show a comparatively strong anisotropy. Di-ethylketone is characterised by a C:O group, whereas allyl alcohol andP-isoamylene contain the C:C group. Bromoform has three heavy atom s in themolecule as against the fourth hydrogen atom which is comparatively muchlighter. It is very significant tha t these are th e same groups which according toSikhibhushan Dutt produce molecular strain . T hus the particular g roups are atwork even in aliphatic molecules but the general disposition of the atom s in thelatter is such that they become more o r less symm etrical and the structure h@ s otyet developed a sufficient degree of anisotropy to display its full effect.In the aromatic series, the NO, and NH, groups stand out prominently.Nitrobenzene, nitrotoluenes and aniline have much larger values for theirdepolarisation factors. In other words these two groups tend to make themolecule highly anisotropic. Incidentally it may be remarked here tha t these twogroups are also well known to colour chemists; the former as an importantchromophore and the latter as an auxochrome. Nextly, a m arked increase, as wepass on from benzene to naphthalene or from pyridine to quinoline is observed.Naphthalene is known to contain two condensed benzene nuclei and quinoline

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    45 c v R A M A N : S C A T T E R I N G O F L I G H TAll aliphatics as before are very feebly birefringent when compared t o thearomatics which indicates that the electrical anisotropy and optical anisotropy

    of the former class of com pounds are very weak in com parison with those of thelatter. CS liquid gives a large electrical birefringence its Kerr cons tant being3.226 x 10- . This is far greater than any of the substances given in the table an dindicates a high degree of electrical anisotropy for the compound in addition tothe high optical anisotropy mentioned in the preceding section.5. Magnetic anisotropy of organic compounds

    Cotton and Mouton observed that liquids exhibit birefringence in a strongmagnetic field and the generally accepted explanation of the phenomenon is tha tthe molecules which are optically and magnetically anisotropic are oriented in amagnetic field and the liquid as a whole exhibits birefringence. The m agnitude ofthe effect depends on the ex tent to which the molecules a re m agnetically andoptically anisotropic. Strongly anisotropic molecules like the derivatives ofbenzene and naphthalene show a highly developed ma gn aic birefringence whilein most aliphatic substances the effect is very feeble though measurable as hasbeen shown recently a t C a l c ~ t t a . ~he s tudies of magnetic birefringence revealthe degree of molecular anisotropy. In the following table the relative values withnitrobenzene = 1 are given as obtained by Cotto n and M outon for a number ofliquids with which we are concerned here.

    Table IV. Data of magnetic birefringenceAromatics Aliphatics

    Substance C Substance GIBenzene 23.3 Chloroform .8Nitrobenzene 1 Bromoform 8Benzonitrile 39.5 Acetone 1.6Phenyl butylene 64 Nitromethane 3.6Benzophenone 57.2 Methyl iodide .9a-naphthonitrile 166 Methylene iodide 2 3a-chloronaphthalene 108 Isoprene 2 7

    C represents the Cotton-Mouton constant. The same conclusions as arrivedat from the d ata on light scattering can be drawn from this table. The aliphaticsare as a class practically isotropic whereas the aromatics are strongly anisotropic.

    M amanadham see the preceding paper in this Journal.

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    C O L O U R A N D M O L EC U LA R S T R U C T U R E 453In both the sections the influence of the substituent groups is quite marked. As wepass from chloroform to bromoform and from methyl iodide to methyleneiodide the molecules are loaded more and more unsymmetrically and there is acorresponding increase in the magoetic birefringence. Isoprene illustrates theresult of unsaturation. In the aromatics the effect of unsaturation as in phenylbutylene the introduction of a C:N group as in benzo- and naphthonitriles andthat of NO group as in nitrobenzene is quite clear as before. Although twobenzene nuclei are sufficient in themselves to give a high value as in the case ofchloronaphthalene the introduction of a C:N group makes it very marked in thecase of naphthonitrile. Thus the same structures aid groups that are instrumentalin lowering the absorption frequencies as evinced by the data on absorptionspectra are also responsible for a large molecular anisotropy.

    6. Birefringence in the crystalline stateThe molecules which display a large optical anisotropy in the vapour state shouldnecessarily exhibit a large double refraction in the crystalline state except inspecial cases when the effective double refraction is diminished by a special type ofarrangement of the molecules in the unit cell. With a view to get a clearerunderstanding of the same the optical properties o some fundamental organicsubstances in the crystalline state hive been investigated. These together with thedata already available are given in the following table.

    Tabb V. Crystalline birefringenceAromatics Aliphatics

    Substance n1 Substance 1 2Picric acid 0 4 Hexabromethane 0.12Picramic acid 0.45 Oxalic acid 0.18Ammonium picrate 0.4 Aminoacetic acid 0.16Naphthalene 04 99 Melamine 038Anthracene 0.61 d Tartaric acid 0.1Quinone 0.343 Aminoquinoline 0.36

    n and n represent the maximum and minimum refractive indices of the crystal.This table again brings out the differences between aliphatics and thearomatics clearly. Of the data available in the aliphatic crystals a few prominentones are collected and with the exception of melamine all of them are feeblybirefringent when compared with the aromatics. Melamine has two C:N groups

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    5 C V R A M A N : S C A T T E R I N G O F L I G H Tand hence the increased birefringence is quite in accordance with the foregoingviews. Amongst the aromatics picric acid, a well know n dye, and its derivativesshow fairly large birefringence. The molecule consists of three NO groupssubstituted in a benzene nucleus. Both naphthalene and anthracene, typicalrepresentatives of the polynuclear parent substances used in the dyeing industry,exhibit high optical anisotropy. A nthracene crystals are m ore strongly birefrin-gent than naphthalene crystals.The absorp tion spectra of naphthalene and anthracene in the crystalline statehave been obtained and the absorption maximum for anthracene is not far fromthe visible region whereas for naphthalene it is still in the ultrav iolet. Thus it isclear that increasing optical anisotropy is a phenomenon running parallel withstrong absorption and development of colour.

    I.The optical basis of the quinonoid theoryOn e of the most prom inent am ongst the older theories, which resulted in a vastamouni of synthetic research, was the quinonoid theory. For a detaileddiscussion, a reference should be m ade to Watson s book. O The theorypostulates that all coloured substances are characterised by a peculiar structureknown as the quinonoid structure. When a transformation takes place from thecolourless leuco base, which is supposed to possess no quinonoid structure, to thecoloured dye base, then the production of colou r is explained by assum ing thatthe configuration of the linkages in the molecule is so changed a s to bring abo ut aquinonoid structure. The same transformation is seen in its simplest form in theoxidation of hydroquinol to quinone.

    Hydroquinol has a simple benzene nucleus and is quite colourless. Quinone isrepresentative of the paraquinonoid structure and has a rich golden yellowcolour. If the postulated hypothesis is correct, in this transformation, one canexpect to find a large increase in the optical anisotropy as they are typicalstructures characterising the colourless leuco base and the coloured dye base.

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    C O L O U R A N D M O L E C UL A R S T R U C TU R ,E 455Data1 available show that hydroquinol crystallises in two modifications. The

    principal refractive indices for the trigonal variety have been given as 1 6325 and1 6262 for the D line. This gives hardly any birefringence and thus makes thecrystal practically isotropic. Quinone, obtained by sublimation in thin flakes, is ofa golden yellow colour and shows a much higher degree of optical birefringence.The difference between its principal refractive indices, as given before is about0 34 which is many times more than that of hydroquinol. We thus see that whilehydroquinol is colourless and practically isotropic, quinone a golden yellowcoloured substance is highly birefringent. This is a specially good illustration ofthe relations existing between chemical structure and the two optical charactersof colour and optical anisotropy respectively. The facts on which the quinonoidtheory of colour is based fit in equally with the views advanced in the presentpaper.

    8. The common origin of colour and optical anisotropyThe empirical relationships traced in the foregoing pages between absorptionspectra and the molecular anisotropy of carbon compounds must naturally havesome theoretical basis. To make this clear we may, at first,'draw attention to somefacts concerning the molecular refractivities of different classes of organiccompounds.

    Table VI. Molecular refractivities of organic compoundsSubstance d Substance d

    C H C6H8NBenzene 26.18 Adipyl dinitrile 31.14Dipropargyl 25.60 m-phenylenediamine 34.942,5-dimethylpyrazine 32.07C,H 4O Phenylhydrazine 34.01Heptaldehyde 33.95p-Hexahydrocresol 33.46

    In Table VI are given a few typical data for molecular refractivity computedfrom the figures given in the International Critical Tables for three groups ofcompounds each having the same molecular formula but very different chemicalconstitution. Dipropargyl, adipyl dinitrile and heptaldehyde are open chaincompounds whereas the others in the list are all cyclic compounds. It will be seen

    Groth Chem. Kristallogr Vol. 4, p. 86.

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    456 c v RAMAN:C A ~ ~ E R I N GF LI HTthat in spite of the enormous differences in the structure, the molecularrefractivities in each group of compounds show only moderate differences. Wehave a quite different position when instead of the molecular refractivitycomputed from the index for the liquid which represents an optical property ofthe molecule averaged for all orientations n space, we consider the same propertyof the molecules along different axes in its structure.

    Taking the latest value12 of r for benzene vapour as 0.042 on calculation wefind that the ratio of the moment induced for vibrations in the plane to themoment for vibrations perpendicular to the plane of the benzene ring is 1.95: 1,i.e., nearly twice as large in one case as in the other. In the case of aliphaticcompounds, taking n-hexane as an example which has r 0.012, the maximumand the minimum optical polarisations are in the ratio 1.34: 1, and therebre muchless different from each other. Since the average molecular refractivity depends toa much less extent on structure than these figures indicate, we are obliged toconclude, that in the cases of the aromatic compounds, the existence of a highdegree of optical anisotropy involves a greatly increased optical polarisability orrefraction in certain dirations, with per contra a diminished optical polarisabilityor refraction in other directions.

    A similar phenomenon is noticed in respect of magnetic anisotropy of organiccompounds. Pascal showed that except for certain comparatively minorstructural influences, the diamagnetic susceptibility of organic compounds didnot deviate greatly from additive relationships. But when the directionalproperties are studied, the whole subject takes an entirely different aspect. As hasbeen shown in another paper13 appearing in this journal, organic crystals of thearomatic class display an astonishingly large magnetic anisotropy, the suscepti-bility of naphthalene crystals, for example, being nearly four times as large in onedirection as in another. This indicates that while the susceptibility averaged overall directions is not very different for aromatic and aliphatic compounds, thesusceptibility along a particular axis of the molecule is very much increased in theformer class of substances with per contra, a diminution in other directions.

    The influence of optical anisotropy is also clearly seen when it is attempted toconnect refraction and dispersion data with the characteristic frequencies ofabsorption of the substance on the basis of the electron theory of dispersion.Drude calculate4 the number of electrons in several organic and inorganiccompounds from the natural dispersion and arrived at the conclusion that thenumber present in a molecule is equal to the number of the valency electrons.Similar calculations have been made by Erfle for a number of aromatic and otherunsaturated compounds, wherein he found that the number of dispersion

    2 Ramakrishna Rag loc cit.3SBhagavantam see preceding paper in this Journal.

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    OLOUR ND M O L E C U LA R S T R U C T U R E 457electrons calculated falls short of the valency electrons to a large extent. This canbe seen from the table given below in which a few typical arom atic substances arecollected.

    Table VII Valency and dispersions electronsSubstance Benzene Toluene Xylene Naphthalene

    30 36 42 4812 14.8 17.6 13.9

    is the number of valency electrons actually present and is the number deducedfrom the dispersion. It appears as though several of the valency electrons are outof action. Later, Richardson14 discussed the da ta for magnetic rotary dispersionon the basis of electron theory and found sim ilar discrepancies in the arom aticand unsaturated compounds. A few typical cases are collected in the followingtable.Table VIII Valency and magnetic dispersion electrons.

    Aliphatics AromaticsSubstance SubstanceMethyl alcohol 10 10 Benzefie 30 166Ethyl ,, 16 14.6 Triphenyl methane 92 49.5Acetaldehyde 14 13.6 Diphenyl 58 29.7Propaldehyde 20 19.1 Orthoxylene 42 27.3Acetic acid 16 16.7 L. Monobrom naphthalene 48 27.1

    and have the same significance as before. In aliphatics there is a faircoincidence whereas in aromatics the number calculated is far lower than theactual n w b e r present. At first sight, these figures suggest that a great many of thevalency electrons are ineffective. It must however be remem bered that in thesecalculations the electron is assumed to have a symmetrical binding with theatoms or in other words, its characteristic frequency is assumed to be the samefor all directions of vibration. There is no a priori reason for this assumption. Infact, J J T h o m ~ o e ~ssumed, in order to explain the observed optical anisotropyof molecules, that the electrons in them are so bound that the characteristic

    I4S S Richardson, Philos. Mag. 1916), 31 454.15SirJ J Thomson, Philos. Mag. 1920), 40 395.

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    58 c v RAMAN : SCATTER I NG OF LIGHT.frequencies of vibration and therefore also the displacem ents of them producedby an impressed periodic force are different along each of three perpendicularaxes fixed in the molecule. It is likely that if dispersion data along different axes inaromatic crystals such as naphthalene or anthracene are obtained and discussed,the apparant anom alies indicated in Tables VII and VIII will receive an adequateexplanation.If the cause of optical anisotropy is that assumed by J J Thomson nd referredto above, it follows that molecules which are highly a n is ~ tr o p ic nd thereforevery strongly polarisable in certain directions by an incident field of force musthave correspondingly ow characteristic frequencies of electron vibration for suchdirections. This is just what is necessary to explain the observed correlationbetween colour and optical anisotropy, and would at the same time makeintelligible the apparent defect in the num ber of dispersion electrons in suchmolecules. Dispersion is determined to a much larger extent than refraction bythe existence of relatively low characteristic frequencies, and if the latte r a reconfined to only one o ut of the three optical axes of the molecule, the result wouldbe the same as if only one-third of the electrons actually present and taking part indispersion were effective.It is interesting also to notice that the existence of different characteristicfrequencies for different directions of v ibration is also indicated by an entirelydifferent line of thought. Silberstein16 has shown tha t the mutual electrostaticinfluence of neighbouring isotropic atoms in a molecule should result in themolecule as a whole becoming optically anisotropic, and at the same time causeits characteristic frequencies to diminish in axial directions and increase alongtransverse directions.

    9. The significance of pleochroismThe remarks made in the preceding section make it possible to understand whypleochroism is so frequently observed in highly coloured crystalline organiccompounds. Pleochroism stands in the same relationship to ordinary lightabsorption that birefringence has to ordinary refraction, and according to thetheoretical considerations indicated by J J Thomson and L Silberstein is more o rless inevitable in highly anisotropic crystals which exhibit colour. Groth givesqualitative descriptions of the distinct pleochroism exhibited by a great numberof crystals of the aromatic series in the visible region. From these, some examplesof strongly coloured bodies which exhibit pleochroism are collected in thefollowing table.

    16L Silberstein Philos May 1 9 1 7 ) 33 521 .

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    C O L O U R ND M O L E C U L A R S T R U C T U R E 59Table i

    Substance PleochroismIndigo Very strongHexamethyl p. Rosaniline Deep violet colour with strong pleochroismSurface is copper redBrilliant green Strong, sulphur yellow to currantAzobenzene Strong, red to citron yellowIsatin Strong, orange yellow to brownAzotoluene Marked

    It is noteworthy tha t the m ajority of strongly pleochroic substances belong tothe polynuc lear aronatics and those few which possess one benzene nucleus an dyet exhibit the phenomenon a re generally characterised by either one or moreNO groups or a quinonoid structure.Pleochroism and birefringence both depend on the dispersion electrons andtheir natu ral frequencies. Since however birefringence is determined also by thecharacteristic ultraviolet frequencies of the molecule which do not affect theabsorption in the visible region we should not expect strongly birefringentcrystals always to show strong pleochroisnl or vice versa For instanceazobenzene crystals which show marked pleochroism are only feebly birefringentwhereas picric acid which is strong ly birefringent shows weak pleochroism. Therelationship between pleochroism and birefringence may also be complicated bythe presence of anomalous dispersion in the visible region of the spectrum. Inview of these remarks we can not expect any simple universal rules connectingeither the principal directions of light absorpticn and of birefringence or theirabsolute magnitudes. Nevertheless it is interesting to note that in nine out of adozen organic com pounds exhibiting pleochroism for which complete refractionda ta are available the direction of maximum optical polarisability in the crystaland of the strongest light absorp tion coincide. From the d ata given by G roth 17 itseemed azobenzene was an exception to this rule and in view of its importancecertain qualitative observations have been m ade with the crystals and the resu ltsare in disagreement with those given by G roth. The crystal appears citron yellowfor vibrations parallel to the b-axis and red for vibrations perpendicular to thesame; its behaviour is thus quite in accordance with the general rule indicatedabove.We have not at presen t clear-cut notions as t o the actual mechanism of lightabso rption in solids or liquids. In the form al equations of the electromagnetictheory the term of absorption arises because the medium is supposed to possess

    Groth, Chen~ ~ ~ y s r, p. 60

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    460 v R AMAN : S CA T T ER I NG OF L I GHTan electrical conductivity in addition to the dielectric constan t E The electriccurrents thus arising from conduction produce heat, the energy of which comesfrom the absorbed portion of the incident radiation. In other words, thesubstance behaves as an actual conductor for vibrations in the ne ighbourhood ofits characteristic absorption frequencies. There are two alternatives possible. Thefirst alternative is tha t the electron might pass out into a s tate of higher energy,still remaining within atomic restraints, thereby absorbing p art of th e incidentenergy, and then revert back to the former state by collisions with thesurro und ing atoms, which carry off the energy as therm al ag itation. The secondpossibility is that the electron may actuallybe detached from the atom and carryoff the energy in kinetic form. The first alternative seems to be more pro bable , butin this connection the work of Gudd en and Poh ll* is very significant. They foundthat all crystals which have a refractive index greater than 2, develop whenexposed to light, a photoelectric current which is of two kinds: 1) a primarycurrent due to ph oto electrons which the light has liberated from the ato ms of thecrystal, 2) a secondary current representing the motion of the positive ionstowards the cathode, but if the excitation is caused under suitable conditions, theeffect was found to be entirely due to the first cause. Later Kurrelmeyer19investigated the photoconductivity of sulphur crystals which has for its principalrefractive indices for the red K line) n 1.93, np 2.00 n 2.19, and arrived atcertain very interesting results. Thus it appears that all crystals with n 2generally display this phenomenon of photoconductivity, the mechanism ofwhic:. is som ewhat analogous to tha t of absorption . This supports the view thatabsorption or colour is a phenomenon closely allied to high refraction andbirefringence. In the organic world one meets with highly birefringent crystalswith one or o ther of the principal refractive indices greater than 2 It is likely thatthese display differences in photoconductivity in different directions, an effectwhich could not be detected in sulphur by Kurrelmeyer.

    I8Gudd en and Pohl, Z . P k j ~ .1923) 17, 331.Gudden and Pohl, A atur\vissensckafie~~1923) 11, 351Gudden and Pohl, PI1j.s. Zeit. 1925) 26, 481.IYBernhardKurrelmeyer, Phys. Reu. 1927) 30, 893.