Pesic Sample

download Pesic Sample

of 33

description

science India

Transcript of Pesic Sample

  • C. V. Raman and Colonial Physics:Acoustics and the Quantum

    Somaditya Banerjee*

    Presenting the social and historical context of Chandrasekhara Venkata Raman, this paperclarifies the nature and development of his work in early twentieth-century colonial India.Ramans early fascination with acoustics became the basis of his later insights into thenature of the light quantum. His work on light scattering played an important role in theexperimental verification of quantum mechanics. In general, Ramans worldview correctscertain Orientalist stereotypes about scientific practice in Asia.

    Key words: Chandrasekhara Venkata Raman; Raman effect; Quantum theory;

    Indian Association for the Cultivation of Science; Indian Institute of Science;

    Physics in India; Orientalism.

    Introduction

    Speaking on the radio for the Indian public, Chandrasekhara Venkata Raman

    (18881970) remarked:

    I think it will be readily conceded that the pursuit of science derives its motive

    power from what is essentially a creative urge In doing this, the man ofscience, like the exponents of other forms of art, subjects himself to a rigorous

    discipline, the rules of which he has laid down for himself and which he calls

    logic Intellectual beauty is indeed the highest kind of beauty. Science, inother words, is a fusion of mans aesthetic and intellectual functions devoted to

    the representation of nature. It is therefore the highest form of creative art.1

    Raman was a first generation bhadralok** scientist whose experiments at the

    Indian Association for the Cultivation of Science (IACS) in Calcutta from 1922

    onward led to his ground-breaking discovery in 1928 of the Raman effect, the

    frequency-altering scattering of light by atomic systems for which he was awarded

    a Nobel Prize in 1930, the first non-Western scientist to be so honored.2 This

    * Somaditya Banerjee is an assistant professor in the Department of History at the Uni-versity of Idaho in Moscow, Idaho. He completed his doctorate in History of Science fromthe University of British Columbia.** A Bengali term denoting a well-mannered and educated man.

    Phys. Perspect. 2014 Springer BaselDOI 10.1007/s00016-014-0134-8 Physics in Perspective

  • historic achievement in the sphere of science served as an important political

    symbol and a catalyst for Indian strivings for independence. Though Raman

    manifested a variety of national consciousness that was different than his col-

    leagues Satyendranath Bose and Meghnad Saha, his remark shows his scientific

    worldview, which integrated concepts of artistic and intellectual beauty. Like the

    changing patterns on a kaleidoscope, Ramans intellectual interests in science also

    showed a gradual change, covering a broad spectrum.

    As was also the case for his mentor, the physicist and plant physiologist Jaga-

    dish Chandra Bose, Ramans major research interests changed over the years:

    acoustics (19091920), optics and scattering of light (19201930), ultrasonic dif-

    fraction and the application of Brillouin scattering to liquids and Raman scattering

    to crystals (19301940), diamonds and vibrations of crystal lattices (19401950),

    optics of minerals (19501960), and thereafter the physiology of vision. In the

    course of his academic career, Raman published more than four hundred and

    eighty research papers (as a single author and coauthored), many of which

    appeared in the Indian Journal of Physics, which he founded in 1928. He also

    trained a large number of research students, many of whom went on to hold

    important portfolios in administration, academia, and politics.

    Because Ramans early life up to 1928 and the reception of his work has been

    discussed by Rajinder Singh some years ago in this journal, the present paper is a

    social history of how Raman established himself as a key figure of Indian science in

    the early twentieth century, especially how he sought meaningful connections

    between a modern scientific worldview and the indigenous knowledge of India,

    combining his attachment to European science with local intellectual traditions

    into a particular brand of Indian modernity.3 Specifically, I will explore the events

    that led to the discovery of the Raman effect by Raman and Kariamanikam

    Srinivasa Krishnan at the IACS in Calcutta in February 1928. I shall argue that,

    though the Raman effect has generally been seen as providing a strong evidence

    for the quantum nature of light, he himself was initially a staunch supporter of the

    classical wave theory. Ramans faith in the wave theory, I suggest, came from his

    initial interest in the physics behind several Indian musical instruments. This study

    will also put Ramans work in the context of the alternate dispersion theories,

    especially those of Hendrik Antoon Lorentz, Paul Drude, Peter Debye, Arnold

    Sommerfeld, Charles Galton Darwin, Karl Herzfeld, Adolf Smekal, as well as

    scattering experiments by Rudolf Ladenburg and Fritz Reiche, culminating with

    the dispersion theory of Hendrik A. Kramers.4

    Raman scattering played an important role in the experimental verification of

    the quantum dispersion theory of Kramers, which formed a conceptual bridge

    between Niels Bohrs and Arnold Sommerfelds old quantum theory and Wer-

    ner Heisenbergs matrix mechanics. The scattering experiments of Russian

    physicists Leonid Issakovich Mandelstam and Grigory Landsberg, done at around

    the same time in 1928 as Raman, are also analyzed in this context. Finally, this

    paper breaks from the tradition of hagiographic writings5 on Raman and argues

    S. Banerjee Phys. Perspect.

  • that because he had strong networks in the international scientific community, he

    became better known and more popular in India than Satyendranath Bose or

    Meghnad Saha. The life trajectory of Raman also shows the multilayered nature of

    Indian science and the subtleties that surround any consideration of science and

    nationalism in early twentieth century India.6 This becomes especially evident

    when Ramans intellectual style is compared to those of Bose and Saha.

    Biographical Comments

    Born to a middle class bhadralok Brahmin family on November 7, 1888, in Ti-

    ruchirapalli in the state of Tamil Nadu in South India, Raman was the second of

    eight children. His father, R. Chandrasekaran Aiyar, accepted the post of lecturer

    in mathematics and physics at the A. V. N. College in Vizagapatam when Raman

    was aged three. Aiyar also excelled in playing Indian musical instruments. After

    receiving the first rank* in his bachelors degree in 1901, Raman was advised by his

    teachers to go to England to compete for the Indian Civil Service (ICS) exami-

    nation. When he failed the medical examination and the door to England was

    closed, he felt relieved and remarked: I shall always be grateful to this man, the

    medical officer.7 It can be inferred from this remark that either Raman was very

    much attached to his country and did not want to serve the British in the ICS or

    perhaps had already developed academic interests.

    Raman returned to Presidency College in Madras to do his masters degree in

    physics, during which he attended very few lectures and devoted most of his time

    to independent research focusing mostly on Indian musical instruments. In 1906,

    he published a short paper in the British Philosophical Magazine that analyzed the

    phenomenon of oblique diffraction using the wave theory of light.8 Having care-

    fully studied the double-slit diffraction pattern produced when light is normally

    incident at the slits, Raman wondered what would happen when light struck the

    slits obliquely. He came to the conclusion that when the incident angle was very

    close to a right angle, the diffraction bands were no longer symmetric, as they

    would have been in the case of normal incidence. He then performed simple

    experiments to verify his conclusions. As Raman recalled later, he was able to

    pursue such research because attending lectures was not mandatory.

    After completing his masters degree in January 1907, Raman went to Calcutta

    in eastern India, where he joined the Financial Civil Service as assistant accoun-

    tant general. Though wanting to pursue a research career in physics, Raman saw

    the utility of being in the administrative service. Such opportunities in adminis-

    tration were open only to the British and those Indians who held British university

    degrees, which Raman did not have. To pursue a research career in future and

    make a living during the intervening period, he had to join the government service

    after passing its entrance exam. Raman remarked, I took one look at all the

    * Comparable to receiving first-class honours in Britain at that time.

    C. V. Raman and Colonial Physics

  • candidates who had assembled there and I knew I was going to stand first, as he

    indeed went on to do.9 His self-confidence, a marked trait of his character, turned

    out to be well-founded in this case. Meanwhile, Raman also married a South

    Indian woman named Lokasundari, a bhadramahila.*

    Raman established contacts with the IACS,which had been founded in 1876 by

    a noted Bengali bhadralok intellectual Mahendra Lal Sircar, a well-known medical

    practitioner and philanthropist. Sircar saw scientific expertise and research as

    important yardsticks for national awakening.10 Because Calcutta offered more job

    opportunities than other provinces, Raman decided to move there in 1907, which

    coincided with the rise of the nationalist movement in the city following the

    partition of Bengal by the British in 1905.11 From 1907 until 1917, Raman spent his

    days in the government office working as an assistant accountant and devoted his

    mornings and nights to science. In this period as part-time clerk and part-time

    researcher, Raman read Hermann von Helmholtzs The Sensations of Tone, which

    had been translated into English by Alexander Ellis in 1885.12 Raman considered

    Helmholtz the most inspirational scientific figure; The Sensations of Tone greatly

    influenced his intellectual outlook.13 Helmholtzs work was presented in a lucid

    form especially for the convenience of music students and dealt with sound as a

    sensation, offering many insights that apparently were unclear to Raman, such as

    that harmony and quality of tone differ only in degree or that the scale best

    adapted to melody is not adapted to harmony.14 Wanting to explore the ramifi-

    cations of Helmholtzian wave theories and interested in the aesthetics of art and

    science, Raman decided to investigate the acoustics of Indian musical instruments

    and check for himself whether the Helmholtzian doctrines of scale, harmony, and

    melody worked for them, though he had difficulty in getting access to proper

    laboratory facilities.

    In 1909, Raman was promoted to the rank of currency officer in seemingly far-

    away Rangoon. Frustrated by the lack of scientific equipment, he turned to the

    theory governing the Indian musical instrument ectara and wrote a theoretical

    paper that was accepted by the Journal of the Indian Math Club.15 Using basic

    wave theory, Raman calculated the periodic variation of tension when the

    vibrating wire has both ends fixed. Raman determined that the pitch of the ectaras

    note was twice the frequency of oscillations of the wire and then verified the result

    experimentally. Likewise, Raman studied other musical instruments: the violin,

    sitar, tambura, and the veena, analyzed their frequency response and found the

    dependence of the production of various frequencies on the bowing pressure, the

    normal modes of vibration, and various harmonics.

    Ramans early fascination with acoustics became the basis for his later insights

    into the nature of light. His attachment to the wave theory stemmed from his

    initial interests in the physics behind Indian musical instruments like the ectara.

    Raman remarked about music, stringed instruments, and culture in ancient India:

    * Female analogue of a bhadralok.

    S. Banerjee Phys. Perspect.

  • Music, both vocal and instrumental, undoubtedly played an important part in

    the cultural life of ancient India. Sanskrit literature, both secular and reli-

    gious, makes numerous references to instruments of various kinds, and it is, I

    believe, generally held by archaeologists that some of the earliest mentions

    of such instruments to be found anywhere are those contained in the ancient

    Sanskrit works. Certain it is that at a very early period in the history of the

    country, the Hindus were acquainted with the use of stringed instruments

    excited by plucking or bowing, with the transverse form of the flute, with

    wind and reed instruments of different types and with percussion

    instruments.16

    Speaking about percussion instruments as a wave theorist, Raman appreciated the

    vibrations of a circular stretched membrane and especially the myriad overtones

    that are excited to produce a discordant effect. Raman noted that, though many

    European percussion instruments are basically non-musical but can be tolerated in

    large orchestras, Indian percussion instruments have varied, subtle acoustic

    properties that drew him to delve deeper into Indian music.17

    Raman published thirty scientific papers during this period in such journals

    as the Journal of the Indian Math Club, Nature, Philosophical Magazine, and

    Physical Review.18 As a consequence, he was offered the Palit Professorship of

    Physics at Calcutta University in 1917 by Ashutosh Mukherjee, the Vice

    Chancellor. Though Ramans new position came with a considerably lower

    salary than his job as an accountant, he accepted it. Now he could devote more

    time to teaching and research at Calcutta University and to experimental work

    at the IACS. Ramaseshan, a student of Raman, noted that: 5.30 a.m. Raman

    goes to the Association. Returns at 9.45 a.m., bathes, gulps his food in haste

    and leaves for office, invariably by taxi [horse-drawn carriage] so that he might

    not be late. At 5 p.m., Raman goes directly to the Association [IACS] on the

    way back from work. Home at 9.30 or 10 p.m. Sundays, whole day at the

    Association.19

    During that period, Raman also developed the odd habit of wearing a head-

    band, though these were not customary in South India. Headbands or turbans, as

    they are popularly called in India, are worn by people from the north, especially

    the state of Punjab, parts of Rajasthan, and also the Kathiawari region in Gujarat

    in the west. M. S. Swaminathan, one of Ramans contemporaries, recalled

    Ramans ready wit when someone asked him why he wore a turban. Oh, if I did

    not wear one, my head will swell. You all praise me so much and I need a turban to

    contain my ego.20 This story is yet another indication of Ramans eagerness to be

    different. For Raman, the turban symbolized Indianness or a distinctiveness that

    made him look different from his colleagues, both Indian and non-Indian

    (figure 1).

    C. V. Raman and Colonial Physics

  • En Route to the Raman Effect

    From isolated Rangoon, Raman was glad to get a transfer to Calcutta, where he

    joined the up-and-coming IACS in 1911. Ramans travels involved sea voyages

    during which he spent considerable time pondering the sea and its colors. At the

    IACS, Raman wanted to diversify his research portfolio, for which making the

    transition from wave acoustics to optics made sense. The diversity of Ramans

    interests in optics ranged from the visualizations of the sea to astronomical optics.

    For example, he studied Saturn and gave two lectures on his observations of the

    interference fringes and diffraction patterns of two light sources using the wave

    theory of light. In 1912, Raman helped mount a telescope on the small wooden

    observatory on the roof of the IACS and then studied Jupiters surface: I think

    the problem of scattering of light by a planetary body is not altogether an easy one

    and there may be room for further investigations here.21

    Hence, Ramans initial interests in acoustics and his research on the ectara and

    Indian percussion instruments, using the wave theory, served as the background

    for his later interests in light scattering at the IACS. As G. N. Ramachandran

    noted,

    The study of acoustics is intimately connected with the study of vibrations and

    waves, and it is not surprising that Ramans interests passed from his early love

    Fig. 1. Raman wearing his turban. Credit: Raman Research Institute.

    S. Banerjee Phys. Perspect.

  • for acoustics on to a life-long devotion to optics, the other great domain of

    classical wave mechanics. In fact, if one may talk of a unifying trend in the

    scientific work of Raman, it may be said to reside in the study of wave

    phenomena.22

    While Raman was working in Calcutta at the IACS, he had only one assistant,

    Ashutosh Dey (another bhadralok), who helped him set up and carry out exper-

    iments. In the wake of the partition of Bengal, many Indians sought education as

    part of the general movement for national improvement. The distinguished edu-

    cator Ashutosh Mukherjee played an important role in this crucial period.

    Mukherjees efforts led philanthropists like Taraknath Palit, Rashbehari Ghosh,

    the Maharaja of Darbhanga, and the Maharaja of Khaira to open the University

    College of Science (UCS) and subsequently endow chairs to be held by Indian

    scientists. Raman made a name for himself in acoustics and astronomical optics; he

    became a stalwart in the institutional milieu of the IACS. Despite that, he was not

    the best choice for Mukherjee, compared to Jagadish Chandra Bose, who already

    established himself as a celebrated scientist and a physics professor at Presidency

    College in Calcutta.

    Ramans position at the UCS also entailed teaching, which he longed to do.23

    He got involved in a conflict with scientists from Bengal like J. C. Bose, who wrote

    to the Vice Chancellor of Calcutta University complaining that Raman was

    offering increased salaries to lure away J. C. Boses research assistants.24 These

    grievances against Raman were part of a larger problem in the history of Indian

    science, the regionalism that identified him as a South Indian attempting to make

    his way in Bengal (figure 2).

    In 1914, Raman accepted appointment as Sir Taraknath Palit Professor of

    Physics at Calcutta University.25 Consequently, he resigned from his government

    position, but due to the requirements of the Palit endowment could not join

    immediately. The colonial government intervened, reluctant to fund endowed

    chairs in India occupied by native Indians. By 1917, however, Raman was already

    the Palit Professor. With a well-equipped lab and research grants to build

    instruments, Raman started a new chapter in his life in optics and light scattering.

    He also gained access to the labs at IACS, where he had worked part-time when

    was a financial clerk. A research group was beginning to grow around Raman in

    Calcutta. As he earned nationwide fame for his research and teaching prowess in

    Calcutta at UCS and IACS, several students came and joined his group from South

    India (University of Madras), which included his key collaborator Kariamanikam

    Srinivasa Krishnan and also K. R. Ramanathan, L.A. Ramdas, K. S. Rao, Sund-

    eraraman, V. S. Tamma, Y. Venkataramayya, A. Ananthakrishnan, S.

    Bhagavantam, A. S. Ganesan, C. Ramaswamy, S. S. M. Rao, S. Paramasivan, N.

    S. Nagendra Nath, C. S. Venkateswaran and S. Venkateswaran, who became

    Ramans research assistants.26 Most of them, like Raman, not coincidentally were

    C. V. Raman and Colonial Physics

  • South Indians, showing the pervasiveness of regional favoritism in Indian science

    during the early twentieth century.

    While at the IACS, Raman came into conflict with Meghnad Saha, beginning in

    1917, when Raman attempted to limit the membership of IACS only to South

    Indians, creating problems for the Institute and other senior members like J.

    C. Bose, Kedareswar Banerjee, Panchanon Das, and Manindra Nath Mitra, who

    were not from the South.27 As leader of this group opposing Raman, Saha

    expressed his annoyance on several occasions regarding Ramans regionalistic

    favoritism and was also apprehensive that Raman could jeopardize the future

    prospects of Sahas students. Thus, he advised Pratap K. Kichlu, an upcoming

    scientist from North India: When you submit [your] thesis for [the] DSc theexaminers ought to be Professor [Ralph H.] Fowler, Lord Rayleigh, and myself.

    Do not allow Raman or [John W.] Nicholson to be put in28

    Raman also came into conflict with the eminent Bengali mathematician D.

    N. Mallik over an interpretation of Fermats Law in optics that Mallik published in

    1913.29 Raman objected that this statement of Dr. Mallik is most seriously in

    error.30 He advised that Dr. Mallik should read Huyghens own statement of the

    case in his original treatises on Light [Malliks] assumption is wholly unnec-essary and leads to results which are quite meaningless.31 This episode suggests

    Ramans grasp in theoretical optics in his early days as a scientist, quite well read

    Fig. 2. Ramans lone assistant at IACS: Ashutosh Dey. Credit: Raman Research Institute.

    S. Banerjee Phys. Perspect.

  • in classical optics including the works of Huygens. On the personal level, this

    conflict shows the commanding and dismissive tone Raman took towards a senior

    Indian (Bengali) colleague like Mallik. While this incident shows Ramans fear-

    lessness, it can also be interpreted as a growing regionalistic trend in his

    personality even as a young man.

    Though showing his mastery over theoretical topics in classical optics, Raman

    wasted no time in planning an experimental research program. Now having a good

    number of assistants, Raman consolidated his research program in Calcutta by

    building instruments and probing the subtleties of wave optics to understand the

    molecular basis of the macroscopic phenomenon of refraction. In 1919, he began

    developing an interest in the molecular diffraction of light. With B. B. Ray, Raman

    published a paper on a light scattering problem in which a beam of light was sent

    through a solution in which sulphur suspension particles were formed. Here a

    counterintuitive phenomenon was observed: The intensity of the transmitted light

    decreased as the solution became gradually turbid, as seems intuitively under-

    standable, but with further passage of time there was a gradual reappearance of

    transmitted light passing through the suspension.32 Raman tried to explain this

    apparently strange phenomenon with the help of Fresnel and Huygens wave

    theory by arguing that the reappearance of transmitted light occurs when the

    growth in size of the suspension particles lead to forward scattering and inter-

    ference in the forward direction. These studies formed the background for

    Ramans later researches into light scattering.

    In 1921, Raman had his first opportunity to visit England and attend the

    University Congress at Oxford as a representative of Calcutta University. When

    Raman was transferred to Rangoon early in his life, he took a sea voyage during

    which he pondered the optics of the sea in relation to his research experiences in

    music and acoustics. On his return voyage from England, Raman further con-

    templated the seas color.33 Explaining it was a natural outgrowth of Ramans

    initial interest in beauty, aesthetics, and the connections between art and science.

    In 1899, Lord Rayleigh had explained the blue color of the sky by giving a scat-

    tering formula for a gas, arguing further that the sea was blue because it reflected

    the color of the sky.34 Rayleigh scattering involved scattered radiation having the

    same frequency as the incident radiation. After having himself taken a long sea

    voyage, Rayleigh argued that

    the much admired dark blue of the deep sea has nothing to do with the colour of

    water, but is simply the blue of the sky seen by reflection. When the heavens are

    overcast the water looks grey and leaden; and even when the clouding is partial,

    the sea appears grey under the clouds, though elsewhere it may show colour. It

    is remarkable that a fact so easy of observation is unknown to many even of

    those who have written from a scientific point of view.35

    From his own experience, Rayleighs explanation of the color of the sea seemed

    discordant to Raman, who noted that

    C. V. Raman and Colonial Physics

  • observations made in this way in the deeper waters of the Mediterranean and

    Red seas showed that the color, so far from being impoverished by suppression

    of sky-reflection, was wonderfully improved thereby It was abundantly clearfrom the observations that the blue color of the deep seas is a distinct phe-

    nomenon in itself, and not merely an effect due to reflected sky-light Thequestion is: What is it that diffracts the light and makes its passage visible? An

    interesting possibility that should be considered is that the diffracting particles

    may, at least in part, be the molecules of the water themselves.36

    His reasoning also relied on the EinsteinSmoluchowski formula (1910) that

    explained critical opalescence, the strong scattering of light by a medium near a

    phase transition.* Einsteins key insight was that the phenomena of critical op-

    alescence and the blue color of the sky, though not related to each other, were

    both due to density fluctuations caused by the molecular constitution of matter.37

    What happened to light scattering when the medium was not close to a phase

    transition? How should one understand light scattering from solids? These and

    similar problems attracted Raman and his associates. In 1922, Raman combined

    his observations with photometric determinations of Matthew Luckiesh to argue

    that molecular scattering of light in seawater explained its color, which then led

    him to study light scattering in liquids and thence to the discovery of the Raman

    effect.38 In his work on light scattering in liquids, Raman studied density fluctu-

    ations in a fluid and also the non-spherical nature of the molecules constituting the

    fluid. Performing experiments at the IACS with his collaborators, Raman found

    that scattering from transparent liquids always contained some radiation of fre-

    quency lower than that of the incident light, now called Raman scattering.39 Thus,

    Ramans interests in light scattering from a liquid (19191927) culminated in the

    celebrated Raman effect.40

    Building an International Image

    Though Raman had a special fondness for India, his network of patrons led him to

    think beyond the nation. As soon as he had a well-equipped laboratory with

    logistical support and a research group, he started planning international trips.

    Even while starting out as Palit Professor at UCS, he visited London to attend a

    scientific meeting in 1924, now better placed than in 1921, when he was still

    building up his reputation. He could travel undisturbed while his research groups

    back home worked on the problems he had set for them. Receiving an invitation to

    attend a meeting of the British Association for the Advancement of Science

    (BAAS) in Canada, Ramans travels took him to North America for the first time.

    * Approaching the critical point in a phase transition, such as between gas and liquid states,the sizes of the gas and liquid regions begin to fluctuate; when the density fluctuationsbecome comparable to the wavelength of impinging light, incoming light is scattered and thepreviously transparent fluid appears cloudy (opalescent).

    S. Banerjee Phys. Perspect.

  • In August 1924, he was in Toronto giving talks on his research at IACS on light

    scattering. After his Canadian sojourn, he went to the Franklin Institute in Phil-

    adelphia for its centenary celebrations. Robert Millikan invited him to visit

    Caltech, where he stayed for three months. Here Raman remarked to astro-

    physicist Svein Rosseland that his immediate scientific goal was to make a great

    discovery and receive the Nobel Prize.41 After leaving California, he visited

    Sweden, Denmark, and Germany, returning to Calcutta in March 1925.

    The 1920s were a very fertile period for the development of physics on a

    transnational scale. In late 1922, Arthur Holly Compton calculated that (unlike in

    classical electromagnetism) a quantum of radiation undergoes a discrete change in

    wavelength when it experiences a billiard-ball collision with an electron at rest in

    an atom, which his X-ray scattering experiments confirmed.42 This phenomenon

    provided an experimental proof for quanta and convinced most physicists of the

    reality of light quanta. Yet these results were not universally accepted. The

    Harvard physicist William Duane, for instance, expressed doubts regarding

    Comptons results at the BAAS meeting in Toronto in 1924 that Raman atten-

    ded.43 Speaking at this meeting, Duane apparently in the end conceded to

    Compton, according to the ambiguous account published in Nature, (figure 3):

    Duane found that, with his apparatus, he was unable to find evidence for the

    existence of the effects observed by Compton. Compton, on the other hand,

    could not repeat satisfactorily Duanes experiments. Each observer investigated

    the apparatus used by the other and convinced himself of its trustworthinessDuane found to his surprise that, in addition to the effects he had previously

    observed, a new peak appeared in approximately the position observed by

    Compton Prof. Raman made an eloquent appeal against a too hasty aban-donment of the classical theory of scattering The fundamental differencebetween the two theories remain; Duane uses only the well-established quan-

    tum energy equation, while Compton in addition introduces the idea of

    conservation of momentum in the interaction between radiator [sic] and

    matter.44

    At this meeting, Raman took Compton to task: Compton, youre a very good

    debater, but the truth isnt in you. This can be taken as evidence that Raman was

    unmoved by Comptons arguments and continued to believe in waves.45 Though

    he tried to downplay the Compton effect and its conceptual significance, Comp-

    tons insights at the Toronto debate were very much present in Ramans work on

    light scattering, which he conceptualized as an optical analogue of the Compton

    effect, remarking that its real significance as a twin brother to the Compton

    effect was clear to him by 1927.46 Compton himself remarked that it was

    probably the Toronto debate that led him to discover the Raman effect two years

    later.47

    In 1927, Ramanathan observed that when sunlight passed through a scattering

    medium, a small fraction of light scattered with a change of frequency. All of

    C. V. Raman and Colonial Physics

  • Ramans collaborators agreed that the mechanism producing the modified radia-

    tion was fluorescence primarily due to impurities in the scattering liquids (such as

    benzene or glycene) acting as scattering centers. Attempts were made to purify the

    material by distillation, yet the frequency-shifted radiation persisted. Ramanathan

    called this radiation feeble fluorescence, though it was polarized, whereas

    fluorescent radiation is not.48 Furthermore, Raman performed experiments to

    study this feeble fluorescence, entailing a spectroscopic study that failed due to a

    lack of a sufficiently powerful light source. Hence, his research group repeated

    these experiments in more detail from February 528, 1928 and concluded that

    what Ramanathan called feeble fluorescence was not fluorescence at all, but a

    form of modified scattering.49

    An obstacle in the way of speedy progress of Ramans scattering experiments

    was the feebleness of his primary light source, sunlight filtered to select the parts of

    the spectrum to be analyzed. Though a monochromatic source was needed to

    isolate the frequency-shifted scattering, the introduction of any optical element

    such as a prism or a phase retarder might have made the signal weaker. To

    improve the intensity of the incident light, Raman acquired a seven-inch refracting

    telescope, which in tandem with a lens with a small focal length could condense a

    beam of sunlight into a high-intensity pencil of light. Using this, Raman and his

    associates began to analyze the feeble fluorescence in early 1928.50

    Explaining the Effect

    The theoretical explanation of the Raman effect followed its experimental dis-

    covery. According to current understanding, the Raman effect occurs when light

    quanta of a certain frequency collides with the molecules of the liquid, either

    giving up some energy or collecting some energy from it. The scattered radiation

    Fig. 3. Raman with Compton in the center. Credit: Raman Research Institute.

    S. Banerjee Phys. Perspect.

  • includes both quanta of the same frequency as the incident light (Rayleigh scat-

    tering), along with quanta of lower frequencies (Stokes terms) or higher

    frequencies (anti-Stokes terms), illustrated in figures 4, 5 and 6. At the time, the

    transitions with unchanged frequency were called coherent, those with changed

    frequencies incoherent.*

    The Rayleigh transition arises because of the polarizability of the molecule,

    involving an excitation from the ground state to the excited state and a subsequent

    de-excitation back to the original ground state, resulting in scattered radiation of

    the same frequency as the incident one. Changes in polarizability (electric dipole

    Fig. 4. Raman scattering. Credit: Andor Technology Ltd.

    Fig. 5. Energy level diagram showing Rayleigh and Raman (Stokes and anti-Stokes) scattering.

    The ground state and the excited states are shown as bands between which transitions are made.

    Credit: Andor Technology Ltd.

    * Note that the usage of the word coherent in the 1920s was slightly different than thecurrent use of the term, which refers more specifically to phase coherence.

    C. V. Raman and Colonial Physics

  • moment) during molecular motions are responsible for the Stokes and anti-Stokes

    line and hence the Raman effect. The Stokes transition can be explained by saying

    that there is an excitation at a particular frequency from the ground state and a

    subsequent de-excitation to a state of lower frequency (increased wavelength)

    than the initial. This implies that the scattered photon has a lower energy than of

    the incident photon, as proposed by Adolf Smekal in 1923.51

    Smekal was a firm believer in Einsteins light quantum and suggested a corpus-

    cular theory of dispersion. Smekal explained the anti-Stokes radiation by noting that

    the exciting transition is already from an excited state, so that the subsequent de-

    excitation is at a higher frequency and hence higher energy by the relation E = hm.Because the transition starts out from a state in which sufficient vibrationally excited

    molecules might not be present, the anti-Stokes line is therefore weaker than the

    Stokes line (figure 6).52 Classically, the Raman effect can be viewed as a perturba-

    tion of the molecules electric field; the frequency shifts of the scattered light give a

    measure of the rotational or vibrational frequencies of the molecule.

    The newspaper announcement regarding the discovery of the Raman effect

    appeared on February 28, 1928 (figure 7) and also mentioned the Compton effect

    as a radical breakthrough for light quanta.53 Though Raman was influenced by

    Comptons work, as we have seen earlier, he tried to downplay its revolutionary

    aspect, especially in the verification of light-quantum in the Toronto debate. In

    fact, when Krishnan informed Raman in 1927 that Compton had been awarded the

    Nobel Prize, Raman remarked If this is true of X-rays, it must be true of light

    tooWe must pursue it and we are on the right lines. It must and shall be found.The Nobel Prize must be won.54 As I will argue, the meanings of light quanta

    were quite different in India than in Europe; Ramans interpretive lens disclosed a

    manifest ambiguity whether his effect can be explained semiclassically using

    continuous wave theory or only using discontinuous light quanta.

    Raman Effect and Quantum Physics

    How did Raman account for his effect? In February 1928, he noted that X-ray

    Compton scattering without change of frequency corresponded to the average

    Fig. 6. Comparison of Rayleigh with Raman spectrum with its Stokes and anti-Stokes lines.

    Credit: Andor Technology Ltd.

    S. Banerjee Phys. Perspect.

  • state of atoms and molecules, while the frequency-changing scattering represented

    fluctuations. Likewise, in the case of visible light there correspond two types of

    scattering, one based on the normal optical properties of atoms and molecules and

    the other representing the effect of fluctuations. Hence, light scattering in general

    is a confluence of thermodynamics, molecular physics, and the wave theory of

    radiation.55

    As argued above, Ramans predilection for the wave theory may have come

    from his early association with Indian musical instruments. Raman also re-derived

    the Compton shift in 1928 using classical theory, analogizing it to the Doppler

    effect, another example of Ramans faith in the wave theory. There is, however,

    some ambivalence in his understanding of this novel effect, reflected in his remark

    on March 16, 1928, at a lecture in Bangalore. In quite a cavalier fashion, Raman at

    this lecture tried to explain the effect using light quanta and seemed to be aware of

    the theoretical underpinnings as contemplated in the KramersHeisenberg the-

    ory of dispersion.56

    Fig. 7. First newspaper announcement of the discovery of the Raman effect. Credit: Raman

    Research Institute.

    C. V. Raman and Colonial Physics

  • Here, Raman seems to mean a light quantum as a quantity of energy in the

    form of classical radiation, as Bohr also seems to imply in his 1913 paper.57 Even

    so, Ramans remark really does not mean that he subscribed to the notion of the

    light quantum. There is some disagreement about this in the extant sources.

    Rajinder Singh says, Well before Raman discovered the Raman effect, he

    accepted the quantum nature of light.58 However, Abha Sur claims that Raman

    himself was a quintessential classical physicist certainly in his training and even

    more so in his outlook.59 Above all, this disagreement raises larger questions

    about the Raman effects connections to the experimental verification of the new

    formalisms of quantum mechanics that were emerging in Europe.60

    Quantum Dispersion and Matrix Mechanics: The Place of the Raman Effectin the History of Quantum Physics

    During the mid-1920s, physicists were grappling with the Rayleigh-like coherent

    terms in the scattered radiation in old quantum theory.61 In the classical Lorentz

    Drude picture of dispersion, an electromagnetic wave of frequency m strikes a one-dimensional simple harmonic oscillator with resonant frequency m0. What happensnext depends on whether or not m is close to m0. As long as m is far removed fromm0, one is in the regime of so-called normal dispersion; close to m0, one is in theregime of anomalous dispersion.

    In 1915, Peter Debye and Arnold Sommerfeld proposed a dispersion formula

    similar to the classical LorentzDrude formula in the context of Bohrs new

    quantum model of the atom. The resonances in the SommerfeldDebye formula

    are at the orbital frequencies in the Bohr atom, yet the experimental data clearly

    showed that these resonances should be at the radiation frequencies of the light,

    which, in the Bohr model, differ sharply from the orbital frequencies of the atom.

    In the early 1920s, several alternative dispersion theories addressed this problem.

    In 1922, using light quanta, Charles Galton Darwin introduced a damping mech-

    anism and argued that, though light from a single atom would have the orbital

    frequency, the interference of an ensemble of waves led to scattered light waves

    having the radiation frequency.62 Unfortunately, conservation of energy only held

    statistically in his model. Furthermore, Bohr pointed out that Darwins theory

    failed for low-intensity light.

    Meanwhile, Karl Herzfeld had suggested a mechanism for obtaining non-

    coherent scattered radiation.63 Using light quanta, Herzfeld argued that the sta-

    tionary states allowed by the quantum conditions were not the only permissible

    ones. Besides these, there were orbits of all sizes and shapes corresponding to all

    values of the constants of integration, which resulted in a diffuse quantization

    with indeterminate energy values. This was a variant of the work by Bohr and

    Sommerfeld and their quantization condition. Hence, the orbits not obeying the

    quantum conditions were assumed to have a very small a priori probability, so that

    electrons could remain in them for about a femtosecond.64

    S. Banerjee Phys. Perspect.

  • In 1923, Smekal described a new type of quantum transition from scattering

    monochromatic radiation from atoms, which he called translational quantum

    transitions.65 He argued that there existed a certain probability per unit time that

    the atom struck by the radiation frequency m1 passed from the state m to the staten and changed its velocity of translation along with a change of frequency. Smekal

    noted that, because of the change in direction of the radiation effected by them

    [i.e., by the translational quantum transitions], we shall speak in the case about

    normal dispersion (m = n) and about anomalous dispersion (m = n).66 Note thatSmekal used the terms normal dispersion and anomalous dispersion in an

    idiosyncratic way and that the distinction he made is usually labeled coherent

    versus non-coherent. Smekals view opposed that held by Niels Bohr, who was a

    stubborn supporter of the wave nature of radiation. This became important for the

    later development of dispersion theory by Kramers and Heisenberg in 1925 and

    later in 1928 when Raman and his associates made their discovery. It is however,

    unknown when (if at all) Raman became aware of Smekals work, and how he

    responded to it. It can be inferred that Ramans complete faith in wave theories

    and natural distrust of the light quantum could have led him to ignore Smekals

    work.

    Subsequently, Smekals paper was often quoted in the literature as indicating a

    prediction of the Raman effect.67 Ramdas, one of Ramans students at IACS,

    commented in 1928 that Smekals paper did not appear to have been noticed by

    any experimental physicist working in the field of light scattering, including the

    group working under Raman.68 But Ramdas also noted that Kramers and Hei-

    senberg took notice of Smekals idea and developed them in their 1925 treatment

    of the quantum theory of scattering.69 Kramers and Heisenberg, like Raman, used

    only the wave theory of light and the experiments on dispersion by Rudolf La-

    denburg and Fritz Reiche at Breslau.70 Schrodinger remarked that the existence of

    this remarkable kind of secondary radiation has not been demonstratedexperimentally.71 The main object of Kramers and Heisenbergs paper was to

    account for the non-coherent scattering suggested by Smekal without taking

    recourse to light quanta and using only the wave theory.72 The KramersHei-

    senberg paper was also the first systematic exposition of the new theory for

    coherent scattering Kramers had presented in 1924.

    The theory of dispersion by Kramers and Heisenberg replaced the unsatisfac-

    tory SommerfeldDebye theory using Einsteins 1916 theory of emission and

    absorption, Bohrs correspondence principle, and the work of Ladenburg and

    Reiche.73 Ladenburgs main contribution was to recognize that the oscillator

    strengths corresponding to various transitions could all be interpreted in terms of

    transition probabilities, as given by Einsteins 1916 theory.74 For the excited state,

    one needed two terms, which Kramers later derived. Ladenburg replaced the

    numbers of oscillators in the classical LorentzDrude formula by transition

    probabilities in the Bohr atom given by Einsteins emission and absorption coef-

    ficients.75 Ladenburgs extensive experiments since 1908 on dispersion in gases had

    C. V. Raman and Colonial Physics

  • convinced him that the resonances of the dispersion formula had to be at the

    radiation frequencies, even though he and Reiche saw no way of deriving this

    result from quantum theory.

    In 1924, Kramers finally accomplished this task on the basis of Bohrs corre-

    spondence principle. Kramers found that the formula suggested by Ladenburg

    needed to be supplemented by a second term, which would only contribute

    appreciably to the dispersion if a substantial fraction of the atoms were in an

    excited state. In the late 1920s, Ladenburg and his collaborators tried unsuccess-

    fully to verify experimentally this second term in the Kramers dispersion formula,

    which the Raman effect then confirmed. As the physicist Francis Low puts it,

    Raman found that light scattered by certain substances may have a slightly

    changed color from the original light beam. This effect is hard to account for

    according to nineteenth century physics, whereas it may be definitely predicted

    on the basis of the new quantum theory, of which it is therefore an important

    experimental confirmation.76

    In essence, Raman did associate his findings of light scattering with Kramers

    dispersion formula. Krishnans personal diary recorded the exchange of views

    between Raman and his associates before the discovery of the Raman effect. The

    diary entry on February 7, 1928 reveals that Raman was overjoyed by his exper-

    imental findings that morning and also realized how the modified scattering

    corroborated the KramersHeisenberg effect.77

    Hence, it is evident that Raman was aware of the work of Kramers and Hei-

    senberg. There is no evidence that Raman was aware of Smekals theoretical

    insights in the early 1920s. Rajinder Singh, however, has argued both ways. In an

    earlier paper, he argued that Raman used Kramers theory to interpret the

    experimental results, but later Singh argued that Raman was unaware of the work

    of Kramers and Heisenberg and remarks none of this theoretical work (of Kra-

    mers and Heisenberg) exerted a direct influence on the discovery of the Ramaneffect.78 This apparent uncertainty whether or not Raman was aware of earlier

    theoretical work feeds into bigger questions of originality and recognition in the

    history of science. While Raman might very well have been aware of the earlier

    work of Kramers, as the diaries of Krishnan reveal, he tried to build an image that

    showed the converse, especially in pursuit of the Nobel Prize.

    Landsberg and Mandelstams Simultaneous Discovery and the Nobel Prizeof 1930

    Often physicists and historians refer to the Nobel Prize as an index of a research

    programs success and modernity. It has been recently argued that, as opposed to

    the physics of principles (espoused by Einstein, Planck, and Bohr), the physics of

    problems as practiced by the Sommerfeld school could make a strong claim to

    S. Banerjee Phys. Perspect.

  • have been the most successful research program for theoretical physics in the

    twentieth century because at least eight Nobel laureates were associated with it.79

    The Nobel Prize is commonly seen as the final authority to assess the success or

    failure of a research program. This is, however, a highly reductionist view.

    According to Robert Friedman, this stereotype overlooks the politics and the

    hidden agendas associated with the prize. Friedman shows in his Politics of

    Excellence how simplistic such stereotypical claims are about the Nobel Prize:

    Without understanding the limitations and weaknesses of the process, the

    recipients were afforded instant prestige as part of the Nobel cult.80 Behind the

    Nobel Prize given to Raman were factors that corroborate Friedmans argument in

    this case.

    Though the Raman effect was discovered in Calcutta on February 28, 1928, this

    very phenomenon was also discovered in Moscow on February 21. There, a group

    of Russian physicists including Grigory Samuilovich Landsberg and Leonid Isaa-

    kovich Mandelstam had been working on similar scattering experiments to those

    of Raman.81 Unlike Raman, Landsberg and Mandelstam used quartz as their

    scattering medium. Quartz was not as easy to find as benzene or the other aro-

    matic compounds that Raman used.

    The basic motivation for Landsberg was the work by R. J. Strutt (the fourth

    Baron Rayleigh), who studied light scattering in quartz and concluded that what

    he had observed was not light scattered from quartz molecules but light reflected

    from false scattering centers. Landsberg took up this task of studying molecular

    light scattering in a real crystal and proposed a criterion for the differentiation of

    scattered light and reflected light from false scattering centers. Mandelstam the-

    oretically calculated the change in the light frequency; they published their results

    on July 13, 1928.82

    Landsberg and Mandelstam argued that the non-Rayleigh modified scattering

    terms were due to the interaction between the light and infrared molecular

    vibrations. Immanuil L. Fabelinskii, a student of Mandelstam, reports that the first

    observations of his mentors were on February 21, 1928, a week before those of

    Raman and his collaborators. Landsberg and Mandelstam, however, published

    their work on July 13, 1928, a few months after their discovery. Apparently the

    main reason for the delay was that Gurevich, a relative of Mandelstam, was

    arrested and sentenced to death. As a consequence, Mandelstam took a break

    from research to mitigate the death sentence. In the end, he succeeded in reversing

    the death sentence; instead, Gurevich was exiled to the city of Vyatka. Hence,

    Gurevichs life was saved at the expense of the publication of the innovative work

    of Mandelstam and Landsberg.83

    Mandelstam wrote to physicist Orest Khvolson: We first noted the appearance

    of the new lines on February 21, 1928. On a negative from an experiment of

    February 2324 (exposure time 15 h) the new lines were clearly visible.84 Fab-

    elinskii argues that Landsberg and Mandelstam reported their discovery at the

    beginning of August 1928 at the sixth Congress of the Association of Russian

    C. V. Raman and Colonial Physics

  • Physicists. Twenty-one of the four hundred participants at the Congress were

    foreign scientists, including Born, Brillouin, Darwin, Debye, Dirac, Phol, Prings-

    heim, Philip Frank, and Scheel. Darwin wrote, Perhaps the most interesting work

    is that of Prof. Mandelstam and Landsberg. The latter described how they had

    independently discovered Ramans phenomenon, the scattering of light with

    changed frequency.85 Commenting on the identical nature of Ramans discovery

    and that of Landsberg and Mandelstam, Born clarified that these discoveries were

    made independently and nearly simultaneously on February 20, 1928. Such

    identical yet separate nature of discoveries, Born thought, showed the transna-

    tional nature of science at that time.86 In fact, two students of Raman, A.

    Jayaraman and A. V. Ramdas, on his centenary wrote about this simultaneous

    discovery as independently discovered by Landsberg and Mandelstam in calcite

    and quartz crystals.87 Though Mandelstam and Landsberg saw the novel scattering

    phenomenon a week before Raman, the Nobel Prize in Physics in 1930 went to the

    latter. One may try to find out the reasons behind such an episode.

    There were twenty-one nominations for the Nobel Prize in 1930 and Raman

    was proposed ten times either as a single candidate or jointly with his collabora-

    tors.88 Because Raman established contacts with scientists in Germany, England,

    France, Sweden, and North America, he was better known internationally than

    Mandelstam and Landsberg. M. Siegbahn and C. W. Oseen, both members of the

    Nobel physics committee in 1930, knew Raman personally. An interesting

    exchange of letters in 19281929 between Raman and Niels Bohr summarizes the

    story. In a letter to Bohr in 1928, Raman remarked:

    The great kindness you have shown me in the past encourages me to make a

    request of a personal character. As you know, my work on the new radiation

    effect has been received with enthusiasm in scientific circles, and I feel sure that

    if you give your influential support, the Nobel Committee for physics may

    recommend that the award for 1930 may go to India for the first time. The

    proposal for the award has to reach the Nobel Committee before 31 January

    1930. I have greatly hesitated in writing to you about this, and it is only because

    I felt sure that you sympathise with the scientific aspirations of India that I have

    ventured to do so.89

    As a matter of fact, Bohr was influenced by Ramans letter and extended his

    support for him through his nomination, which played a key role in Raman getting

    the prize (figure 8).

    Arnold Sommerfeld was also visiting India in 1928, which coincided with

    Ramans explorations in light scattering.90 Sommerfeld repeated Ramans exper-

    iments at the IACS and verified them. Through Sommerfeld, his colleagues in

    Munich and Berlin came to be aware of Ramans work. Strangely enough, the

    names of Mandelstam and Landsberg did not even figure in the Nobel acceptance

    speech of Raman in 1930, though he refers twice to Bohr, who played an important

    S. Banerjee Phys. Perspect.

  • role in the prize process.91 The previous quotation also shows Ramans fondness

    for classical wave theories, of which Bohr was a radical supporter.

    Given Ramans fondness for classical wave theories, had he eventually accepted

    the quantum, it would have been a hesitant acceptance with the disclaimer that

    classical theories were more fundamental so that, in the case of large quantum

    numbers, according to Bohrs correspondence principle quantum calculations had

    to agree with classical calculations. Though the new quantum mechanics of the the

    mid-1920s was mostly a German phenomenon, its leading exponents, such as

    Arnold Sommerfeld, were keenly interested in Ramans works in light scattering.

    Sommerfeld and the Reception of Ramans Work in Germany: Orientalismand Science

    Sommerfeld was a great admirer and supporter of Indian physicists and their work.

    He was attracted to J. C. Boses work in electrophysiology, Sahas work on stellar

    spectra, Satyendranath Boses work on quantum statistics, and Ramans work on

    light scattering. The Zeitschrift fur Physik was the channel through which Som-

    merfeld gained familiarity with the work of Indian physicists. Sommerfeld

    requested Saha to give a lecture in Munich in 1921, and Saha obliged. Raman,

    along with Saha, invited Sommerfeld to visit India and give lectures at the Uni-

    versity of Calcutta. Sommerfeld visited India in 1928 after the discovery of the

    Raman effect and gave talks mostly on atomic structure and wave mechanics in

    Calcutta. While in India, Sommerfeld wrote an article that praised modern Indian

    Fig. 8. Raman (second from right) with Niels Bohr to Ramans left. The others from the left are

    George Gamow, Thomas Lauritsen, T. B. Rasmussen, and Oskar Klein. Credit: Niels Bohr

    Archive.

    C. V. Raman and Colonial Physics

  • science and equated its quality to that of Europe and America. Sommerfeld

    expressed special admiration for the discovery by Raman and for Sahas work in

    astrophysics.92

    The Raman effect, however, did not get a good reception within certain sec-

    tions of the German physics community. Gottingen physicist Otto Blumenthal,

    Georg Goos at the University of Jena, and Richard Gans were all skeptical about

    Ramans work. Gans in particular had a negative view about Indian scientists,

    writing to Sommerfeld from Jena on May 14, 1928: Do you think that Ramans

    work on the optical Compton effect in liquids is reliable? To repeat the experi-

    ment is not a big task and most probably we are going to do it. The sharpness of

    the scattered lines in liquids seems doubtful to me.93 Goos based his ideas on an

    unsuccessful repetition of the Raman effect at the University of Munich. As Singh

    noted, Gans had a negative opinion about Indian scientists and had a skepticalattitude towards the quality of publications by Indian physicists and also toldSommerfeld that Indian physicists are not reliable.94

    On June 9, 1928, Sommerfeld wrote to Joos that in my opinion Raman is

    correct and important. He writes to me, that the difference between the lines is

    exactly equal to the infra-red frequencies of the molecules under consideration.95

    Thus, Sommerfelds response to Indian science provides an alternate perspective

    that reconstructed the socio-scientific image of India as not exclusively spiritual

    but also scientific. Following Raman, one can infer that Indian science did not

    follow the Western trajectory to modernity, but an alternate path that encom-

    passed ideas about the human spirit, the virtues of human endeavor and

    achievement, and a search for truth for its own sake. Raman himself thought that

    in my case strangely enough it was not the love of science, nor the love of

    Nature, but an abstract idealization, the belief in the value of the Human Spirit

    and the virtue of Human Endeavor and Achievement. When I read Edwin

    Arnolds classic The Light of Asia, I was moved by the story of the Buddhas

    great renunciation, of his search for truth, and of his final enlightenment. It

    showed me that the capacity for renunciation in the pursuit of exalted aims is

    the very essence of human greatness.96

    This is striking because Raman was moved by a Western account of Oriental

    wisdom, showing the contradictory nature of his personality; he seemed to have

    developed an aversion for the British and yet was fond of other Europeans like

    Sommerfeld and Arnold (British though he was). Ramans quotation and his

    scientific work also puts in question certain stereotypes opposing Oriental to

    Western thought.

    If, as Singh asserts, Gans was prejudiced against Indian scientists, the contro-

    versy among German physicists about Ramans work may have involved their

    various preconceptions about Oriental science.97 In my view, the defining

    characteristic of Raman was that, even though he was a major harbinger of

    modernity in Indian society, he tended to reject the Oriental stereotypes in the

    S. Banerjee Phys. Perspect.

  • West that would separate and oppose modern science to traditional Oriental

    knowledge. Upon his return to Calcutta after receiving the Nobel Prize, Lady

    Raman remarked about her husband, he has sought to dispel the notions in

    Europe that India was rather too Spiritual.98 Ramans interests in Indian clas-

    sical musical instruments shows how he was bound to Indian tradition, yet his light

    scattering experiments advanced the most modern European science.

    Raman vacillated between tradition and modernity, but his characteristic

    approach combined them. Before his discovery of the Raman effect in 1928,

    he re-derived the Compton scattering wavelength using wave theory.

    Ramans attitudes about the traditional and the modern were ambivalent,

    even contradictory. His apparently strange outlook espoused a methodology

    that broke away from negative stereotypes about Oriental science and

    instead adopted a variant of what Richard G. Fox has called affirmative

    orientalism.99 By this, Fox suggests that Orientalist narratives were appro-

    priated by Indian intellectuals and applied in such a way as to undercut the

    colonialist agenda. Hence, such narratives did not operate in straightforward

    and orderly fashions but illustrate some of the ambiguities of colonial physics

    in early twentieth century India.

    Ramans extensive institutional, personal, and pedagogical networks were

    similar to those of Western scientists, yet he developed them while working

    in a colonized, non-Western nation. Then too, in contrast to Orientalistic

    assumptions of Eastern inferiority, several Western scientists such as Som-

    merfeld helped reconfigure myths about the East by highlighting the scientific

    achievements of Raman and other scientists of his generation who were

    working in the Orient. Sommerfeld convinced his colleagues in Germany of

    the authenticity of Ramans works, especially after his visit to India. Som-

    merfelds India visit paved the way for several collaborations between

    physicists at the University of Calcutta and Sommerfelds Munich school.

    Ramesh Chandra Majumdar, a graduate student in Calcutta University was

    awarded the Zeiss scholarship by the Deutsche Akademie to do research at

    Munich. Several Indian students from Calcutta studied at the University of

    Munich under the guidance of Sommerfeld, Walther Gerlach, Thierfelder,

    and Schmauss, the noted meteorologist. Sommerfeld received the honorary

    degree DSc from the University of Calcutta in 1928.100

    Raman himself visited Munich as a Nobel Laureate in 1930. In 1934,

    when he became the director of the Indian Institute of Science (IISc),

    Sommerfeld recommended one of his students named Ludwig Hopf, who

    happened to be a Jewish refugee, to teach at the IISc. Ramans endeavor

    was instrumental in the creation of a special readership in theoretical

    physics at IISc from October 1935 to March 1936, which went to the Jewish

    scientist Max Born, seeking refuge after his dismissal from the University

    of Gottingen.101

    C. V. Raman and Colonial Physics

  • Between Nationalism and Regionalism

    Robert Anderson has argued that, while the national scientific community was

    developing during the 1930s, communications among Indian scientists of different

    regions increased considerably. Researchers were interacting with each other

    frequently on a regional and national basis, travel by train was slightly easier and

    more frequent, the postal and telegraphic system was improving, and opportunities

    arose for both status and power that were not just local in character.102

    In this way, Indian science started having a conglomeration of scientists from

    different regions that went beyond the confines of regionalism. On the other hand,

    regionalism played an important role in the IACS when Raman started roping in

    South Indian scholars, notwithstanding the availability of qualified local candi-

    dates. While at the IACS, Raman had occasional disagreements with Saha on the

    issue of regionalism* in particular. As a result, scientists led by Saha expressed

    their objections to this abject regionalism. Raman had conflicts with Western

    scientists as well. In the 1930s and 1940s, he was involved in a controversy con-

    cerning crystal dynamics with Max Born, a leading physicist in Europe, which led

    Born to remark Raman is a very able physicist, full of enthusiasm There isreally no other Indian physicist who is of his rank. [His] European intensityalone would be enough to make Raman suspicious to the average Indian

    professor.103

    It is, however, debatable whether Raman was a nationalist, but his personality

    had a peculiar brand of sensitivity for his nation that can be seen from his

    exchanges with some of the institutions and colleagues in the West. Speaking at

    the convocation address to the students of Benaras Hindu University in 1926,

    Raman remarked about his speeches while he was in Europe and emphasized the

    importance of traditional centers of Indian learning like Kashi** and its con-

    comitant institutional set-up there as the living embodiment of the aspirations of

    new India.104 Most importantly, Raman emphasized that the university should

    aim not to grow bookworms but to train men to serve their country.105

    On May 15, 1924 Raman was elected as Fellow of the Royal Society of London.

    According to Kameshwar Wali, about 1967 Raman became unhappy about an

    article published in the London Times about the Nobel Laureate Fellows of the

    Royal Society, which did not mention his name. Raman blamed the omission on

    the Society and wrote to P. M. S. Blackett, the president of the Society at that

    time, saying that unless he would be given a satisfactory explanation for this

    omission, he would resign, which he did in March 1968 after Blacketts

    response.106 Rajinder Singh, however, argues that there was no communication

    between Blackett and Raman and there was also no such list of Fellows of the

    * By regionalism is meant the regional prioritizing of ideas and agency, which is not racialor religious in this context but more in the line of lobbying for recognition in a regionallydependent way.** A north Indian city also called Benaras on the banks of the river Ganges.

    S. Banerjee Phys. Perspect.

  • Royal Society who won a Nobel Prize published in the London Times between

    1967 and 1968. Singh concludes, Ramans resignation remains a mystery.107

    Though this is an apparently strange episode, Raman had developed a special

    sensitivity regarding his nation, a sense of national identity not atypical of scien-

    tists in late colonial India. In an undated quote on how he felt having received the

    Nobel Prize, Raman remarked:

    When the Nobel award was announced I saw it as a personal triumph, an

    achievement for me and my collaboratorsa recognition for a very remarkable

    discovery, for reaching the goal I had pursued for seven years. But when I sat in

    that crowded hall and I saw the sea of faces surrounding me, and I, the only

    Indian, in my turban and closed coat, it dawned on me that I was really rep-

    resenting my people and my country. I felt truly humble when I received the

    Prize from King Gustav; it was a moment of great emotion but I could restrain

    myself. Then I turned round and saw the British Union Jack under which I had

    been sitting and it was then that I realized that my poor country, India, did not

    even have a flag of her ownand it was this that triggered off my complete

    breakdown.108

    Examining Ramans character closely, however, one can conclude that Ramans

    nationalist inclinations about colonial India might have been a reason behind this

    feeling. Hence, this act of Ramans resignation can also be viewed as a protest

    against a seemingly discriminatory act on the part of the British. There is other

    evidence, though, which shows that Raman was a difficult person to get along with

    and also quite arrogant, which added a peculiar dimension to his character. Fab-

    elinskii describes a personal incident in 1957, when Raman had visited Moscow to

    receive the Lenin Peace Prize. Lecturing on the theory of solids, and getting

    distracted by a remark by L. D. Landau, Raman started shouting, stamping his

    feet, swinging his arms, insulting Landau and talking rot. At that point, Landau

    left the lecture hall, to the utter astonishment of everyone present.109

    Furthermore, when C. G. Darwin expressed skepticism during a visit to

    Ramans laboratories in 1935, Raman remarked, It is far easier to straighten the

    tail of a dog than to try to convince an Englishman of the correctness of [ones]

    theories.110 As Raman pursued modern science in a colonial environment under

    the British Raj, he might have developed a feeling of cynicism and a lack of

    fondness towards the English in particular, as also revealed by his wearing a turban

    to show his defiance towards colonial rule. Yet despite such occasional disagree-

    ments and seemingly quarrelsome behavior, one should not be hasty to categorize

    Raman as abhadra or ungentlemanly. These odd episodes, in my judgment, do

    not outweigh his success in his early days as a scientist at the IACS, where he

    successfully built a group of early-career scholars leading to his Nobel prize

    winning work, and his later move to Bangalore at the Indian Institute of Science

    and the Raman Research Institute.

    C. V. Raman and Colonial Physics

  • Conclusion

    Raman showed a fondness for his nation that is harder to classify as nationalist

    compared to the sentiments of Satyendranath Bose and Saha.111 His nationalistic

    sentiments were expressed through his emotions while accepting the Nobel Prize

    in 1930 and his later resignation from the Royal Society; his symbolic gestures like

    wearing an indigenous headgear projected an attitude that was nationalist but not

    staunchly anticolonial.112

    Interestingly, his world-view resonated with those of the German Helmholtz,

    the Briton Rayleigh, and the Dane Bohr. Raman combined European science,

    such as the classical wave theories of Huygens, Fresnel, Helmholtz, and Rayleigh,

    with local intellectual traditions of Indian music, fusing them into a specific brand

    of Indian modernity that emerged in the case of the Raman effect. His early

    fascination with acoustics became the basis of his later insights into the nature of

    light, especially his ardent support for the wave theory of light and his ambivalent

    outlook towards the quantum.

    The career trajectory of Raman also shows the multilayered and mul-

    tidimensional nature of Indian science. Not all Indian scientists thought

    alike, and there were occasional disagreements between Raman and

    J. C. Bose, Saha, and Mallik and even with Western scientists like Born

    and Compton. I consider these differences as regionalism (on a local and

    global scale): the regional prioritizing of traditions, personal networks, and

    solidarities. In spite of utilizing plenty of opportunities available for sci-

    entific research and teaching at the Calcutta University and the IACS,

    Raman never identified himself as a scientist from Bengal. Most of his

    associates were from South India, so that when he was offered a position at

    the IISc in Bangalore in 1931, he was quick to take it and leave his

    established position in Calcutta.

    This paper also locates the Raman effect in the history of quantum mechanics

    by putting his work on the dispersion of light in the context of the alternative

    dispersion theories of LorentzDrude, DebyeSommerfeld, C. G. Darwin, Herz-

    feld, Smekal, and the scattering experiments by Ladenburg and Reiche,

    culminating in the dispersion theory of Kramers and Heisenberg. Raman scat-

    tering played an important role in the verification of quantum mechanics by

    confirming experimentally the second term of the KramersHeisenberg dispersion

    formula.

    Scientific image-building was also a matter of concern for Raman. For this

    purpose, he made educational pilgrimages to Europe and North America where he

    developed a dialogue with his Western colleagues such as Compton, Millikan,

    Rosseland, Bohr, and Sommerfeld. These apparently scientific internationalist

    gestures helped Raman win the Nobel Prize in 1930, though the Russian physicists

    Mandelstam and Landsberg observed the novel scattering mechanism before

    Raman.

    S. Banerjee Phys. Perspect.

  • Finally, Ramans world-view reconfigured Orientalist stereotypes by presenting

    his interest in science as a pursuit of truth for aesthetic and intellectual satisfaction.

    More generally, science in India did not follow the Western trajectory to

    modernity, but opened up an alternative path that encompassed ideas about

    modernity along with Indian tradition.

    Acknowledgements

    I thank David Cassidy, Alexei Kojevnikov, Michel Janssen, Robert Brain, Sean

    Quinlan, Daniel Kennefick, John Crepeau, Peter Pesic, Robert Crease, and Alexei

    Pesic for suggestions and comments about this paper and mentoring help in

    general. Thanks also goes to D. C. V. Mallik, Rajinder Singh, and Meera B. M. at

    the Raman Research Institute, and Felicity Pors at the Niels Bohr Archive for

    giving me access to the pictures used here. I acknowledge the support of the Office

    of Research and Economic Development at the University of Idaho.

    References1 C.V. Raman, New Physics: Talks on Aspects of Science. (Freeport, New York: Books for

    Libraries Press, 1951), 135142.2 http://www.nobelprize.org/nobel_prizes/physics/laureates/1930/, accessed on January 10, 2012.3 Rajinder Singh, C. V. Raman and the Discovery of the Raman Effect, Physics in Perspective 4

    (2002), 3994204 Peter Debye, Die Konstitution des Wasserstoff-molekuls, Sitzungsberichte der mathematisch-

    physikalischen Klasse der Koniglichen Bayerischen Akademie der Wissenschaften zu Munchen

    (1915), 126. See also, Paul Drude, Lehrbuch der Optik (Leipzig: S. Hirzel, 1900), English transl.:

    The Theory of Optics. trans. C. R. Mann and R. A. Millikan (New York: Longmans, Green, 1902);

    Arnold Sommerfeld, Die Drudesche Dispersionstheorie vom Standpunkte des Bohrschen

    Modelles und die Konstitution von H2, O2, and N2, Annalen der Physik 53 (1917), 497550; K.

    F. Herzfeld, Versuch einer quantenhaften Deutung der Dispersion, Zeitschrift fur Physik 23(1924), 341360; A. Smekal, Zur Quantentheorie der Dispersion, Die Naturwissenschaften 11

    (1923), 873875; R. Ladenburg, Die quantentheoretische Dispersionsformel und ihre experi-

    mentelle Prufung, Die Naturwissenschaften 14 (1926), 12081213; F. Reiche, and W. Thomas

    Uber die Zahl der Dispersionselektronen, die einem stationaren Zustand zugeordnet sind,

    Zeitschrift fur Physik 34 (1925), 510525; H. A. Kramers, and W. Heisenberg, Uber die Streuung

    von Strahlung durch Atome, Zeitschrift fur Physik 31 (1925) 681707, translated in B. L. van der

    Waerden, ed., Sources of Quantum Mechanics (New York: Dover, 1968), 223252.5 G. Venkataraman, Journey into Light: Life and Science of C. V Raman (New Delhi: Penguin

    Books India Ltd., 1986); S. Ramaseshan, C. V. Raman: A Pictorial Biography. (Bangalore: The

    Indian Academy of Sciences, 1988); Singh, Raman and the Discovery of the Raman Effect (ref.

    3); Uma Parameswaran C. V. Raman: A Biography (New Delhi: Penguin Books 2011).6 Pratik Chakrabarty, Western Science in Modern India: Metropolitan Methods, Colonial Practices

    (Delhi, Permanent Black, 2004), 180210. Chakrabarty argues that science and nationalism

    blended into a single project in early twentieth-century India, especially as seen in the works of

    Jagadish Chandra Bose, who was a mentor of Raman in Calcutta.7 Venkataraman, Journey into Light (ref. 5), 3.

    C. V. Raman and Colonial Physics

  • 8 C. V. Raman, Unsymmetrical Diffraction Bands Due to a Rectangular Aperture, Philo-

    sophical Magazine 12, no. 6 (1906), 494498.9 Ibid.10 IACS Archives (see http://hdl.handle.net/10821/405, accessed April 26, 2014). Sircar also

    established the Calcutta Journal of Medicine in 1868 and was an influential populariser of Indian

    science. See Gyan Prakash, Another Reason (Princeton, NJ: Princeton University Press, 1999), 59.11 Calcutta was the capital of British India from 1772 to 1911, when, because of the revolutionary

    campaigns in the city, the capital was shifted to Delhi in the north.12 A thoroughly revised and corrected edition, rendered conformable to the fourth and last

    German edition of 1877, with numerous additional notes, and a new additional appendix bringing

    down information to 1885 especially adapted to the use of musical students. The partition of

    Bengal did not have any sustained impact on Raman; nothing in the archives shows otherwise. It

    can be inferred that because Raman was from South India, far from Bengal, his response was not

    atypical of South Indians.13 Raman, Books That Have Influenced Me: A Symposium (Madras: G. A. Natesan & Co., 1947),

    2129.14 Hermann von Helmholtz, On the Sensations of Tone as a Physiological Basis for the Theory of

    Music, trans. Alexander J. Ellis (London: Longmans, Green and Co. 1885), 481484.15 Raman, The Ectara, Journal of the Indian Math Club, 1909, 170175.16 Sir Ashutosh Mookherji Silver Jubilee Volume (Calcutta: Calcutta University Press, 1922),

    2:179.17 Ibid., 180185.18 http://www.vigyanprasar.gov.in/scientists/cvraman/raman1.htm, accessed December 5, 2011.19 Venkataraman, Journey into Light (ref. 5), 6.20 http://www.thehindu.com/2006/06/21/stories/2006062107600200.htm, accessed March 5, 2007,

    the online edition of one of Indias national newspapers, The Hindu. Ramans behavior can be

    likened to Gandhi, an Indian nationalist who also used to wear a turban during his stay in South

    Africa (between 1893 and 1914) as a form of defiance toward the West and colonial authority. See

    for example Ramachandra Guha, Gandhi Before India (New York: Knopf, 2014).21 Report of Astronomical Society, April 1913. Parameswaran, Raman (ref. 5), 66.22 G. N. Ramachandran, Professor RamanThe Artist-Scientist, Current Science 40 (1971), 212.23 Singh, Raman and the discovery of the Raman effect (ref. 3).24 Raman apparently offered three times higher salary than Bose did. See J. C. Bose to D.

    P. Sarbadhikari, August 30, 1917 (private copy) as quoted in Singh, Raman and the discovery of

    the Raman effect (ref. 3).25 Parameswaram, Raman (ref. 5) 80.26 Ibid., 94.27 IACS online archives http://hdl.handle.net/10821/285, accessed January 6, 2012.28 M. N. Saha to P. K. Kichlu, August 15, 1927, Nehru Archives (Saha papers), New Delhi.29 D. N. Mallik, Fermats Law, Bulletin of the Indian Association for the Cultivation of Science 7

    (1913), 14-16.30 To keep Hamiltons Principle and Fermats Law consistent, Mallik argued that we must have

    for light propagation, T V = Constant, where T is the kinetic energy and V the potential energy.

    Calcutta Mathematical Society Archives, Kolkata, Doc B.1913. Raman argued that inside the

    S. Banerjee Phys. Perspect.

  • variational equation d $ (T V) dt = 0 one could add terms like a sin(nt) whose variation was zeroand hence showed the non-uniqueness of (T V).31 Calcutta Mathematical Society Archives, Doc. B.1917.32 Raman and Ray, On the Transmission Colours of Sulphur Suspensions. Proceedings of the

    Royal Society of London A100 (1921), 102109. The strange reappearance of color was as follows:at first indigo, then blue, blue-green, greenish-yellow, and finally white.33 Venkataraman, Journey into Light (ref. 5), 34.34 The scattering coefficient was inversely proportional to the fourth power of wavelength; see for

    example Rodney Loudon, The Quantum Theory of Light (Oxford: Oxford University Press, 2000),

    374.35 Lord Rayleigh, Colours of Sea and Sky in his Scientific Papers (Cambridge: Cambridge

    University Press, 1900), 5:540.36 Raman, The colour of the sea, Nature 108 (1921), 367, responding to Rayleighs Colours of

    Sea and Sky (ref. 35).37 Einstein, Theorie der Opaleszenz von homogenen Flussigkeiten und Flussigkeitsgemischen in

    der Nahe des kritischen Zustandes. Annalen der Physik 33 (1910), 12751298. Using classicalelectromagnetic theory, Einstein and Smoluchowski argued that the mean square fluctuation in

    density (and also the transverse scattering of light) increases near the critical temperature,

    resulting in critical opalescence.38 Raman, Transparency of Liquids and Colour of the Sea, Nature 110 (1922), 280.39 His collaborators were K. R. Ramanathan (who joined Ramans lab in December 1921 from

    South India and made important observations in 1923), Krishnan, Ramdas, Ganesan, Seshagiri

    Rao, Venkateswaran, Kameswara Rao, Ramakrishsna Rao, and Ramachandra Rao.40 Krishnan observed the same effect in scattered light of sixty-five different purified liquids

    leading to Ramans observation in glasses in late 1927. See Venkataraman, Journey into Light (ref.

    5), 196-198.41 Kameshwar Wali, Chandra: A Biography of S. Chandrasekhar, (Chicago: University of Chicago

    Press, 1990), 254.42 Roger Stuewer, The Compton effect: Turning Point in Physics. (New York: Science History

    Publications, 1975), 223234. The Compton effect gives a change of wavelength k0 k

    hmec

    1 cos h where h is Plancks constant, c the speed of light, me is the mass of the electron atrest, h is the scattering angle.43 Ibid., 249273.44 Ibid., 268269.45 Ibid., 268. Several physicists accepted the Compton effect, but were just as happy to consider

    light as waves. For the relevance of this in the development of matrix mechanics see Anthony

    Duncan and Michel Janssen, On the Verge of Umdeutung: John Van Vleck and the Corre-

    spondence Principle, Archive for History of Exact Sciences 61 (2007), 553624.46 Raman, A Classical Derivation of the Raman Effect. Indian Journal of Physics 3 (1929),

    357369.47 Marjorie Johnston, ed., The Cosmos of Arthur Holly Compton (New York: Knopf, 1967), 37.

    This is a valuable resource that contains Comptons Personal Reminiscences, a selection of his

    writings on scientific and non-scientific subjects, and a bibliography of his scientific writings.48 C. V. Raman, A new radiation, Indian Journal of Physics 2 (1928), 387398.49 Quoted by P. R. Pisharoty in C. V. Raman (New Delhi: Publications Division, 1982), 40-44.

    C. V. Raman and Colonial Physics

  • 50 D. C. V. Mallik and S. Chatterjee, Kariamanikkam Srinivasa Krishnan: His Life and Work

    (Hyderabad: Universities Press, 2011), 81.51 Adolf Smekal, Zur Quantentheorie der Dispersion, Die Naturwissenschaften 11 (1923),

    873875.52 Figure 6 also illustrates that the Stokes and anti-Stokes lines are equally displaced from the

    Rayleigh line because in both cases one vibrational quantum of energy is gained or lost.53 The announcement was in the Associated Press of India; RRI Archives Digital Repository,

    Bangalore, http://hdl.handle.net/2289/3430, accessed October 4, 2012.54 G. H. Keswani, Raman and His Effect, (New Delhi: National Book Trust 1980), 44.55 RRI Archives Digital Repository, Bangalore, http://hdl.handle.net/2289/3430, accessed October

    4, 2012.56 Ibid., 396.57 See Niels Bohr, I. On the constitution of atoms and molecules, Philosophical Magazine 26

    (1913), 125.58 Singh, Raman and the Discovery of the Raman Effect (ref. 3), 409.59 Abha Sur, Aesthetics, Authority, and Control in an Indian Laboratory: The Raman-Born

    Controversy on Lattice Dynamics, Isis 90 (1999), 2549.60 In a 1980 videotaped lecture at Harvard entitled The Crisis of the Old Quantum Theory,

    192225, Thomas Kuhn remarked about the Kramers-Heisenberg paper and their treatment of

    the Smekal-Raman incoherent scattering terms that you get what you would now recognize as

    cross-products terms in a matrix expansion and that is what inspired matrix mechanics. I thank

    Michel Janssen for giving me access to this videotape.61 John H. Van Vleck, Quantum Principles and Line Spectra (Washington, DC: National Research

    Council, Bulletin of the National Research Council 10, Part 4, 1926), as cited in Duncan and

    Janssen, On the Verge of Umdeutung (ref. 45), 623.62 C. G. Darwin, A quantum theory of optical dispersion, Nature 110 (1922), 841842.63 Herzfeld, Versuch einer quantenhaften Deutung der Dispersion, Zeitschrift fur Physik 23(1924), 341360.64 See ref. 61.65 Jagadish Mehra and Helmut Rechenberg, The Historical Development of Quantum Theory

    (New York, Berlin: Springer, 2001), 6:354.66 Smekal, Quantentheorie der Dispersion (ref. 51).67 See, for example, K. W. F. Kohlrausch, Der Smekal-Raman-Effekt (Heidelberg: Springer, 1938).68 Ramdas was also the first to photograph the scattered spectrum successfully, as noted by R.

    S. Krishnan and R. K. Shankar, Raman Effect: History of the Discovery, Journal of Raman

    Spectroscopy 10 (1981), 18.69 L. A. Ramdas, Raman Effect in Gases and Vapours, Indian Journal of Physics 3 (1928), 131.70 Ladenburg had introduced one of two key ingredients needed for a satisfactory treatment of

    dispersion in the old quantum theory: the emission and absorption coefficients of Einsteins

    quantum theory of radiation. Ladenburg spent most of his career doing experiments on dispersion

    in gases. See Duncan and Janssen On the Verge of Umdeutung (ref. 35).71 Erwin Schrodinger, Quantisierung als Eigenwertproblem, Annalen der Physik 81 (1926),109139.72 H. A. Kramers and W. Heisenberg, Uber die Streuung von Strahlung durch Atome, Zeits-

    chrift fur Physik 31 (1925), 681707.

    S. Banerjee Phys. Perspect.

  • 73 A. G. Shenstone, Ladenburg, Rudolf Walther in Charles Gillispie, ed., Dictionary of Scientific

    biography (New York: Charles Scribners Sons, 1973), 7:552556.74 Rudolf Ladenburg, Die quantentheoretische Deutung der Zahl der Dispersionselektronen,

    Zeitschrift fur Physik 4 (1921), 451468, translated in van der Waerden, Sources of Quantum

    Mechanics (ref. 4), 139157. See also Duncan and Janssen, On the verge of Umdeutung (ref. 35).75 J. H. Van Vleck,The absorption of radiation by multiply periodic orbits, and its relation to the

    correspondence principle and the Rayeigh-Jeans law. Part I. Some extensions of the correspon-

    dence principle, Physical Review 24 (1924), 330346, in van der Waerden, Sources of QuantumTheory (ref. 4), 203222, at 219, eq. 17.76 Francis Lows introduction to Raman, The New Physics (ref. 1).77 IACS archives, Kolkata, Raman Correspondence File.78 Singh, Raman and the Discovery of the Raman Effect (ref. 3), 14. See also Singh, Seventy

    Years Ago: The Discovery of the Raman Effect as Seen From German Physicists, Current

    Science 74 (1998), 11121115.79 Suman Set