The Beginnings of X-Ray Diffraction in Crystals in 1912 and Its Repercussions1

Total Page:16

File Type:pdf, Size:1020Kb

The Beginnings of X-Ray Diffraction in Crystals in 1912 and Its Repercussions1 Z. Kristallogr. 227 (2012) 27–35 / DOI 10.1524/zkri.2012.1445 27 # by Oldenbourg Wissenschaftsverlag, Mu¨nchen Disputed discovery: The beginnings of X-ray diffraction in crystals in 1912 and its repercussions1 Michael Eckert* Deutsches Museum, Forschungsinstitut, Museumsinsel 1, 80538 Munich, Germany Received August 22, 2011; accepted September 22, 2011 M. von Laue / A. Sommerfeld / W. H. Bragg / W. L. Bragg Crystallography, and other celebratory reviews of the events in 1912, according to Forman, served the purpose Abstract. The discovery of X-ray diffraction is reviewed of maintaining a disciplinary identity among the crystallo- from the perspective of the contemporary knowledge in graphers. “This circumstance, and its evident social func- 1912 about the nature of X-rays. Laue’s inspiration that tion of reinforcing a separate identity, strongly suggests led to the experiments by Friedrich and Knipping in Som- that the traditional account may be regarded as a ‘myth of merfeld’s institute was based on erroneous expectations. origins’, comparable to those which in primitive societies The ensuing discoveries of the Braggs clarified the phe- recount the story of the original ancestor of a clan or nomenon (although they, too, emerged from dubious as- tribe” (Forman, 1969, p. 68). In turn, Ewald regarded this sumptions about the nature of X-rays). The early misap- interpretation as “the myth of the myths”. Forman failed, prehensions had no impact on the Nobel Prizes to Laue in in Ewald’s view, “to appreciate the vagueness of the phy- 1914 and the Braggs in 1915; but when the prizes were sical information confronting Laue before the experiment. finally awarded after the war, the circumstances of ‘Laue’s To make his interpretation plausible, the author repeatedly discovery’ gave rise to repercussions. Many years later, aggrandizes statements taken from the literature, especially they resulted in a dispute about the ‘myths of origins’ of from Laue’s Nobel Lecture and from the Festschrift for the community of crystallographers. the semicentennial of the discovery. These unjustified ac- cents, needed in support of his main thesis, show that his scheme is pre-conceived, artificial, and unnecessary” 1. Introduction (Ewald, 1969, p. 81). From these passages it is apparent that a review of the The discovery of X-ray diffraction in crystals a hundred discovery of X-ray diffraction in crystals in a short article years ago, and the ensuing birth of the new specialities of cannot cover the disputed issues in a comprehensive man- X-ray spectroscopy and X-ray crystallography, have been ner. The complexity is due to historical as well as scien- praised and reviewed on numerous occasions, most exten- tific aspects. The latter are concerned with the nature of sively half a century ago in P. P. Ewald’s Fifty Years of X-rays and the space-lattice hypothesis of crystals as known X-ray Diffraction (Ewald, 1962). The pioneers were awarded before the discovery; the former concerns the lack of doc- with the Nobel Prize in physics as early as 1914 and umentary evidence – letters, diaries, manuscripts – from 1915: Max von Laue, who had suggested in spring 1912 the crucial period in spring 1912. The Nobel speeches of the – now famous – experiments performed by Walter the discoverers, Ewald’s voluminous Festschrift for the Friedrich and Paul Knipping, ‘for his discovery of the dif- semicentennial, Forman’s critical scrutiny together with fraction of X-rays by crystals’; William Henry Bragg and Ewald’s refutation, and further accounts (see Wheaton, William Lawrence Bragg, father and son, ‘for their ser- 1983, pp. 199–220) provide insights from a variety of dif- vices in the analysis of crystal structure by means of ferent perspectives – and yet there remain questions that X-rays’ (Nobel Prizes, 1914–1915). Few other discoveries cannot be resolved unequivocally from the available archi- received such swift recognition and widespread praise. val sources. We restrict this study to Laue’s initial idea The reconstruction of the events that led to Laue’s idea about the nature of the interference effect. We will not in 1912 have provoked critical scrutiny. The science his- discuss Laue’s views concerning the space-lattice hypoth- torian Paul Forman challenged the ‘clan of X-ray crystal- esis, which have also been disputed in the course of the lographers’ with a ‘critique of the myths’ that he dis- Forman–Ewald controversy (Gasman, 1975; on the early cerned in their accounts of the discovery. Ewald’s Fifty history of crystallography, see Kubbinga, 2012). Central to Years Festschrift, dedicated to the International Union of the following review is the knowledge on X-rays in Ar- nold Sommerfeld’s Institute for Theoretical Physics at * e-mail: [email protected] Munich University, the site of the discovery, where Laue 1 This Laue centennial article has also been published in Acta spent the early period of his career as Privatdozent and Cryst. (2012). A68, 30–39. where Walter Friedrich was Sommerfeld’s assistant. 28 M. Eckert 2. The quest for the nature of X-rays Bragg, in a response to the Bremsstrahlen theory, pre- sented Sommerfeld with an alternative view which be- Since his call to Munich in 1906 to one of the very few came known as the neutral-pair hypothesis (Stuewer, 1971; chairs of Theoretical Physics, Sommerfeld had struggled Wheaton, 1983, pp. 87–90). Instead of assuming an elec- hard to meet the high expectations of Ro¨ntgen concerning tromagnetic interaction, Bragg speculated that an electron, the theoretical explanation of X-rays. “Isn’t it a shame that on encountering an atom, may neutralize its charge and ten years after Ro¨ntgen’s discovery one still does not know “takes the form of the X-ray or the g-ray as the case may what is going on with X-rays”2, Sommerfeld alluded to this be: it may again lose the neutralising complement and be- expectation shortly before his call to Munich in a letter to come a secondary cathode or b-ray, the double transfor- Wilhelm Wien, who had become Ro¨ntgen’s successor at mation being accompanied by no very great change of Wu¨rzburg and pursued fundamental experimental investi- speed” (W. H. Bragg, 1910). In another letter he referred gations about the nature of X-rays (Sommerfeld, 1905). On to photographs in the recently invented cloud-chamber: Wien’s X-ray investigations see Pohl (1912). Sommerfeld “Have you seen any of C. T. R. Wilson’s pictures of the had made a mark in this quest with an interpretation of ear- fog formed instantly after the passage of ionizing rays lier experimental observations by Hermann Haga and Corne- through a gas?” (W. H. Bragg, 1911). It seemed impossi- lis H. Wind about the passage of X-rays through narrowing ble to interprete these images other than by assuming a slits. Haga and Wind (1899) interpreted a diffuse broadening particle nature of the ionizing radiation. at the narrower end of the slit as a diffraction phenomenon. The quest about the nature of X-rays, therefore, cannot Sommerfeld regarded X-rays as a shower of electromag- be isolated from the riddles about radioactivity in the early netic square pulses and estimated from the experiments of years of the twentieth century. In a sequel to his Brems- Haga and Wind (1899) that the order of magnitude of the strahlung paper, Sommerfeld attempted to explain g-radia- width of an X-ray pulse is about one a˚ngstrom (¼ 0.1 nm). tion in a similar way to the X-ray Bremsstrahlung:He But he did not perceive such pulses as a superposition of perceived the emission of b-rays from a radioactive sub- waves; nor was the experimentally observed broadening stance as the ejection of electrons that become accelerated conclusive enough to justify the assumption of a diffrac- within short distances to almost the speed of light. The tion effect. The conclusion that X-rays were indeed elec- electromagnetic radiation caused by this acceleration tromagnetic waves with a wavelength of about 1 A˚ , there- would be radiated away in a similar manner to the X-ray fore, was far from persuasive (Wheaton, 1983, pp. 35–40). Bremsstrahlung caused by the deceleration of electrons. If By 1908, Charles Glover Barkla had provided new evi- an electron is accelerated to almost the speed of light dence about the nature of X-rays. He arrived at the con- within a very short distance, the intensity of the electro- clusion that X-rays appear in two varieties. One sort of magnetic radiation would be distributed within narrow for- X-rays was independent of the material from which they ward-directed lobes. Couldn’t this be the g-radiation ob- emerged and could be polarized; the other was like fluor- served together with b-rays? This “very strange view escence radiation and could not be polarized. The latter about the structure of g-rays”, Sommerfeld admitted, was was entirely dependent on the irradiated material and de- “the ultimate consequence of my view about the structure signated as ‘fluorescence’ or ‘characteristic’ radiation. Only of X-rays” (Sommerfeld, 1911a, p. 3). the former could be perceived in terms of the electromag- If g-radiation and X-ray Bremsstrahlung are electro- netic pulse hypothesis. Sommerfeld (1909) elaborated this magnetic radiation produced by the acceleration of elec- hypothesis so that he could account for the spatial distri- trons, then the energy of these radiations is related to the bution of X-ray intensity due to the deceleration of elec- energy of the electron. In the case of X-ray Bremsstrah- trons (‘Bremsstrahlen’) on their impact upon the anode lung, therefore, there should be a relation between the ki- material of an X-ray tube.
Recommended publications
  • Ecamp12 Book Online.Pdf
    , Industrial Exhibition Welcome to ECAMP 2016 Questions/Support: , In case of any problems please contact either the conference office or ask the conference staff for help. The staff is wearing easily recognizable “ECAMP 12” T-shirts. Conference Office: HSZ, 3rd Floor, HZ13 Help Hotline: +49 (0)69 798-19463 +49 (0)1590-8146358 (cell) WiFi Access: • Eduroam is available on campus. • In case you do not have eduroam, a personal WiFi-account can be requested at the conference office. 1 The ECAMP 12 is organized by the Institut für Kernphysik Frankfurt and hosted by the Goethe-Universität Frankfurt ECAMP 12 Local Organizing Committee: Reinhard Dörner Markus Schöffler Till Jahnke Lothar Schmidt Horst Schmidt-Böcking Scientific Committee Dominique Vernhet (Chair) Igor Ryabtsev Fritz Aumayr (Vice-Chair) Nina Rohringer Thomas Schlathölter Pierre Pillet Reinhard Dörner Olga Smirnova Alexander Eisfeld Tim Softley Jan-Petter Hansen Sergio Diaz Tendero Guglielmo Tino 2 Campus map P Parking Lot (no public parking!) H Bus Stop U Metro Station (Lines: U1,U2,U3,U8) The scientific part of the conference is held at the “HSZ” (designated as “Hörsaalzentrum” on the campus map) located in the middle of the Westend-Campus of Frankfurt University. 3 Site plan HSZ Ground floor entrance to lecture halls, industrial exhibition and registration (Sunday and Monday) 4 HSZ 1st floor entrance to lecture halls 5 HSZ 3rd floor conference office and poster sessions 6 Talks Talks will be held at the HSZ in the lecture halls HZ1 and HZ2. Duration of talks + discussion: Plenary talks: 50 + 10 minutes Progress reports: 25 + 5 minutes Hot topics: 12 + 3 minutes Please make sure to upload / test your presentation during the break prior to your talk.
    [Show full text]
  • Hendrik Antoon Lorentz's Struggle with Quantum Theory A. J
    Hendrik Antoon Lorentz’s struggle with quantum theory A. J. Kox Archive for History of Exact Sciences ISSN 0003-9519 Volume 67 Number 2 Arch. Hist. Exact Sci. (2013) 67:149-170 DOI 10.1007/s00407-012-0107-8 1 23 Your article is published under the Creative Commons Attribution license which allows users to read, copy, distribute and make derivative works, as long as the author of the original work is cited. You may self- archive this article on your own website, an institutional repository or funder’s repository and make it publicly available immediately. 1 23 Arch. Hist. Exact Sci. (2013) 67:149–170 DOI 10.1007/s00407-012-0107-8 Hendrik Antoon Lorentz’s struggle with quantum theory A. J. Kox Received: 15 June 2012 / Published online: 24 July 2012 © The Author(s) 2012. This article is published with open access at Springerlink.com Abstract A historical overview is given of the contributions of Hendrik Antoon Lorentz in quantum theory. Although especially his early work is valuable, the main importance of Lorentz’s work lies in the conceptual clarifications he provided and in his critique of the foundations of quantum theory. 1 Introduction The Dutch physicist Hendrik Antoon Lorentz (1853–1928) is generally viewed as an icon of classical, nineteenth-century physics—indeed, as one of the last masters of that era. Thus, it may come as a bit of a surprise that he also made important contribu- tions to quantum theory, the quintessential non-classical twentieth-century develop- ment in physics. The importance of Lorentz’s work lies not so much in his concrete contributions to the actual physics—although some of his early work was ground- breaking—but rather in the conceptual clarifications he provided and his critique of the foundations and interpretations of the new ideas.
    [Show full text]
  • Philosophical Rhetoric in Early Quantum Mechanics, 1925-1927
    b1043_Chapter-2.4.qxd 1/27/2011 7:30 PM Page 319 b1043 Quantum Mechanics and Weimar Culture FA 319 Philosophical Rhetoric in Early Quantum Mechanics 1925–27: High Principles, Cultural Values and Professional Anxieties Alexei Kojevnikov* ‘I look on most general reasoning in science as [an] opportunistic (success- or unsuccessful) relationship between conceptions more or less defined by other conception[s] and helping us to overlook [danicism for “survey”] things.’ Niels Bohr (1919)1 This paper considers the role played by philosophical conceptions in the process of the development of quantum mechanics, 1925–1927, and analyses stances taken by key participants on four main issues of the controversy (Anschaulichkeit, quantum discontinuity, the wave-particle dilemma and causality). Social and cultural values and anxieties at the time of general crisis, as identified by Paul Forman, strongly affected the language of the debate. At the same time, individual philosophical positions presented as strongly-held principles were in fact flexible and sometimes reversible to almost their opposites. One can understand the dynamics of rhetorical shifts and changing strategies, if one considers interpretational debates as a way * Department of History, University of British Columbia, 1873 East Mall, Vancouver, British Columbia, Canada V6T 1Z1; [email protected]. The following abbreviations are used: AHQP, Archive for History of Quantum Physics, NBA, Copenhagen; AP, Annalen der Physik; HSPS, Historical Studies in the Physical Sciences; NBA, Niels Bohr Archive, Niels Bohr Institute, Copenhagen; NW, Die Naturwissenschaften; PWB, Wolfgang Pauli, Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg a.o., Band I: 1919–1929, ed. A. Hermann, K.V.
    [Show full text]
  • Einstein's Mistakes
    Einstein’s Mistakes Einstein was the greatest genius of the Twentieth Century, but his discoveries were blighted with mistakes. The Human Failing of Genius. 1 PART 1 An evaluation of the man Here, Einstein grows up, his thinking evolves, and many quotations from him are listed. Albert Einstein (1879-1955) Einstein at 14 Einstein at 26 Einstein at 42 3 Albert Einstein (1879-1955) Einstein at age 61 (1940) 4 Albert Einstein (1879-1955) Born in Ulm, Swabian region of Southern Germany. From a Jewish merchant family. Had a sister Maja. Family rejected Jewish customs. Did not inherit any mathematical talent. Inherited stubbornness, Inherited a roguish sense of humor, An inclination to mysticism, And a habit of grüblen or protracted, agonizing “brooding” over whatever was on its mind. Leading to the thought experiment. 5 Portrait in 1947 – age 68, and his habit of agonizing brooding over whatever was on its mind. He was in Princeton, NJ, USA. 6 Einstein the mystic •“Everyone who is seriously involved in pursuit of science becomes convinced that a spirit is manifest in the laws of the universe, one that is vastly superior to that of man..” •“When I assess a theory, I ask myself, if I was God, would I have arranged the universe that way?” •His roguish sense of humor was always there. •When asked what will be his reactions to observational evidence against the bending of light predicted by his general theory of relativity, he said: •”Then I would feel sorry for the Good Lord. The theory is correct anyway.” 7 Einstein: Mathematics •More quotations from Einstein: •“How it is possible that mathematics, a product of human thought that is independent of experience, fits so excellently the objects of physical reality?” •Questions asked by many people and Einstein: •“Is God a mathematician?” •His conclusion: •“ The Lord is cunning, but not malicious.” 8 Einstein the Stubborn Mystic “What interests me is whether God had any choice in the creation of the world” Some broadcasters expunged the comment from the soundtrack because they thought it was blasphemous.
    [Show full text]
  • Von Richthofen, Einstein and the AGA Estimating Achievement from Fame
    Von Richthofen, Einstein and the AGA Estimating achievement from fame Every schoolboy has heard of Einstein; fewer have heard of Antoine Becquerel; almost nobody has heard of Nils Dalén. Yet they all won Nobel Prizes for Physics. Can we gauge a scientist’s achievements by his or her fame? If so, how? And how do fighter pilots help? Mikhail Simkin and Vwani Roychowdhury look for the linkages. “It was a famous victory.” We instinctively rank the had published. However, in 2001–2002 popular French achievements of great men and women by how famous TV presenters Igor and Grichka Bogdanoff published they are. But is instinct enough? And how exactly does a great man’s fame relate to the greatness of his achieve- ment? Some achievements are easy to quantify. Such is the case with fighter pilots of the First World War. Their achievements can be easily measured and ranked, in terms of their victories – the number of enemy planes they shot down. These aces achieved varying degrees of fame, which have lasted down to the internet age. A few years ago we compared1 the fame of First World War fighter pilot aces (measured in Google hits) with their achievement (measured in victories); and we found that We can estimate fame grows exponentially with achievement. fame from Google; Is the same true in other areas of excellence? Bagrow et al. have studied the relationship between can this tell us 2 achievement and fame for physicists . The relationship Manfred von Richthofen (in cockpit) with members of his so- about actual they found was linear.
    [Show full text]
  • A Brief History of Nuclear Astrophysics
    A BRIEF HISTORY OF NUCLEAR ASTROPHYSICS PART I THE ENERGY OF THE SUN AND STARS Nikos Prantzos Institut d’Astrophysique de Paris Stellar Origin of Energy the Elements Nuclear Astrophysics Astronomy Nuclear Physics Thermodynamics: the energy of the Sun and the age of the Earth 1847 : Robert Julius von Mayer Sun heated by fall of meteors 1854 : Hermann von Helmholtz Gravitational energy of Kant’s contracting protosolar nebula of gas and dust turns into kinetic energy Timescale ~ EGrav/LSun ~ 30 My 1850s : William Thompson (Lord Kelvin) Sun heated at formation from meteorite fall, now « an incadescent liquid mass » cooling Age 10 – 100 My 1859: Charles Darwin Origin of species : Rate of erosion of the Weald valley is 1 inch/century or 22 miles wild (X 1100 feet high) in 300 My Such large Earth ages also required by geologists, like Charles Lyell A gaseous, contracting and heating Sun 푀⊙ Mean solar density : ~1.35 g/cc Sun liquid Incompressible = 4 3 푅 3 ⊙ 1870s: J. Homer Lane ; 1880s :August Ritter : Sun gaseous Compressible As it shrinks, it releases gravitational energy AND it gets hotter Earth Mayer – Kelvin - Helmholtz Helmholtz - Ritter A gaseous, contracting and heating Sun 푀⊙ Mean solar density : ~1.35 g/cc Sun liquid Incompressible = 4 3 푅 3 ⊙ 1870s: J. Homer Lane ; 1880s :August Ritter : Sun gaseous Compressible As it shrinks, it releases gravitational energy AND it gets hotter Earth Mayer – Kelvin - Helmholtz Helmholtz - Ritter A gaseous, contracting and heating Sun 푀⊙ Mean solar density : ~1.35 g/cc Sun liquid Incompressible = 4 3 푅 3 ⊙ 1870s: J.
    [Show full text]
  • Ewald's Sphere/Problem
    Ewald's Sphere/Problem 3.7 Studentproject/Molecular and Solid-State Physics Lisa Marx 0831292 15.01.2011, Graz Ewald's Sphere/Problem 3.7 Lisa Marx 0831292 Inhaltsverzeichnis 1 General Information 3 1.1 Ewald Sphere of Diffraction . 3 1.2 Ewald Construction . 4 2 Problem 3.7 / Ewald's sphere 5 2.1 Problem declaration . 5 2.2 Solution of Problem 3.7 . 5 2.3 Ewald Construction . 6 3 C++-Anhang 8 3.1 Quellcode . 8 3.2 Output-window . 9 Seite 2 Ewald's Sphere/Problem 3.7 Lisa Marx 0831292 1 General Information 1.1 Ewald Sphere of Diffraction Diffraction, which mathematically corresponds to a Fourier transform, results in spots (reflections) at well-defined positions. Each set of parallel lattice planes is represented by spots which have a distance of 1/d (d: interplanar spacing) from the origin and which are perpendicular to the reflecting set of lattice plane. The two basic lattice planes (blue lines) of the two-dimensional rectangular lattice shown below are transformed into two sets of spots (blue). The diagonals of the basic lattice (green lines) have a smaller interplanar distance and therefore cause spots that are farther away from the origin than those of the basic lattice. The complete set of all possible reflections of a crystal constitutes its reciprocal lattice. The diffraction event can be described in reciprocal space by the Ewald sphere construction (figure 1 below). A sphere with radius λ is drawn through the origin of the reciprocal lattice. Now, for each reciprocal lattice point that is located on the Ewald sphere of reflection, the Bragg condition is satisfied and diffraction arises.
    [Show full text]
  • Historical Group
    Historical Group NEWSLETTER and SUMMARY OF PAPERS No. 64 Summer 2013 Registered Charity No. 207890 COMMITTEE Chairman: Prof A T Dronsfield | Prof J Betteridge (Twickenham, 4, Harpole Close, Swanwick, Derbyshire, | Middlesex) DE55 1EW | Dr N G Coley (Open University) [e-mail [email protected]] | Dr C J Cooksey (Watford, Secretary: Prof. J. W. Nicholson | Hertfordshire) School of Sport, Health and Applied Science, | Prof E Homburg (University of St Mary's University College, Waldegrave | Maastricht) Road, Twickenham, Middlesex, TW1 4SX | Prof F James (Royal Institution) [e-mail: [email protected]] | Dr D Leaback (Biolink Technology) Membership Prof W P Griffith | Dr P J T Morris (Science Museum) Secretary: Department of Chemistry, Imperial College, | Mr P N Reed (Steensbridge, South Kensington, London, SW7 2AZ | Herefordshire) [e-mail [email protected]] | Dr V Quirke (Oxford Brookes Treasurer: Dr J A Hudson | University) Graythwaite, Loweswater, Cockermouth, | Prof. H. Rzepa (Imperial College) Cumbria, CA13 0SU | Dr. A Sella (University College) [e-mail [email protected]] Newsletter Dr A Simmons Editor Epsom Lodge, La Grande Route de St Jean, St John, Jersey, JE3 4FL [e-mail [email protected]] Newsletter Dr G P Moss Production: School of Biological and Chemical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS [e-mail [email protected]] http://www.chem.qmul.ac.uk/rschg/ http://www.rsc.org/membership/networking/interestgroups/historical/index.asp 1 RSC Historical Group Newsletter No. 64 Summer 2013 Contents From the Editor 2 Obituaries 3 Professor Colin Russell (1928-2013) Peter J.T.
    [Show full text]
  • The Nobel Prize in Physics: Four Historical Case Studies
    The Nobel Prize in Physics: Four Historical Case Studies By: Hannah Pell, Research Assistant November 2019 From left: Arnold Sommerfeld, Lise Meitner, Chien-Shiung Wu, Satyendra Nath Bose. Images courtesy of the AIP Emilio Segré Visual Archives. Grade Level(s): 11-12, College Subject(s): History, Physics In-Class Time: 50 - 60 minutes Prep Time: 15 – 20 minutes Materials • Photocopies of case studies (found in the Supplemental Materials) • Student internet access Objective Students will investigate four historical case studies of physicists who some physicists and historians have argued should have won a Nobel Prize in physics: Arnold Sommerfeld, Lise Meitner, Chien-Shiung Wu, and Satyendra Nath Bose. With each Case Study, students examine the historical context surrounding the prize that year (if applicable) as well as potential biases inherent in the structure of the Nobel Prize committee and its selection process. Students will summarize arguments for why these four physicists should have been awarded a Nobel Prize, as well as potential explanations for why they were not awarded the honor. Introduction Introduction to the Nobel Prize In 1895, Alfred Nobel—a Swedish chemist and engineer who invented dynamite—signed into his will that a large portion of his vast fortune should be used to create a series of annual prizes awarded to those who “confer the greatest benefit on mankind” in physics, chemistry, physiology or medicine, 1 literature, and peace.1 (The Nobel Prize in economics was added later to the collection of disciplines in 1968). Thus, the Nobel Foundation was founded as a private organization in 1900 and the first Nobel Prizes were awarded in 1901.
    [Show full text]
  • The Stochastic Ising and Potts Models at Criticality
    Courant Institute (NYU) Wilhelm Lenz Introduced by Wilhelm Lenz in 1920 1888-1957 as a model of ferromagnetism: Place iron in a magnetic field: increase field to maximum , then slowly reduce it to zero. There is a critical temperature 푇푐 (the Curie point) below which the iron retains residual magnetism. Magnetism caused by charged particles spinning or moving in orbit in alignment with each other. How do local interactions between nearby particles affect the global behavior at different temperatures? Eyal Lubetzky, Courant Institute Gives random binary values (spins) to vertices accounting for nearest-neighbor interactions. Initially thought to be over-simplified Sociology Biology to capture ferromagnetism, but Chemistry Economics turned out to have a crucial role in Physics … understanding phase transitions & critical phenomena. One of the most studied models in Math. Phys.: more than 10,000 papers About 13,300 results over the last 30 years… Eyal Lubetzky, Courant Institute Cyril Domb Proposed in 1951 by C. Domb to his 1920-2012 Ph.D. student R. Potts. Generalization of the Ising model to allow 푞 > 2 states per site. Special case 푞 = 4 was first studied in 1943 by Ashkin and Teller. Renfrey Potts Rich critical phenomena: 1925-2005 first/second order phase transitions depending on 푞 and the dimension. figure taken from: The Potts model FY Wu – Reviews of modern physics, 1982 Cited by 2964 Eyal Lubetzky, Courant Institute Underlying geometry: Λ = finite 2D grid. Set of possible configurations: + + + - Λ Ω = ±1 - + + + (each site receives a plus/minus spin) - + - + Probability of a configuration 휎 ∈ Ω given by the Gibbs distribution: + - + + 1 휇 휎 = exp 1훽 ෍ 휎 푥 휎(푦) I 푍 훽 2 푥∼푦 Inverse Partition Josiah W.
    [Show full text]
  • Scientific References for Nobel Physics Prizes
    1 Scientific References for Nobel Physics Prizes © Dr. John Andraos, 2004 Department of Chemistry, York University 4700 Keele Street, Toronto, ONTARIO M3J 1P3, CANADA For suggestions, corrections, additional information, and comments please send e-mails to [email protected] http://www.chem.yorku.ca/NAMED/ 1901 - Wilhelm Conrad Roentgen "in recognition of the extraordinary services he has rendered by the discovery of the remarkable rays subsequently named after him." Roentgen X-ray Roentgen, W.C. Ann. Physik 1898, 64 , 1 Stanton, A. Science 1896, 3 , 227; 726 (translation) 1902 - Hendrik Antoon Lorentz and Pieter Zeeman "in recognition of the extraordinary service they rendered by their researches into the influence of magnetism upon radiation phenomena." Zeeman effect Zeeman, P., Verhandlungen der Physikalischen Gesellschaft zu Berlin 1896, 7 , 128 Zeeman, P., Nature 1897, 55 , 347 (translation by A. Stanton) 1903 - Antoine Henri Becquerel "in recognition of the extraordinary service he has rendered by his discovery of spontaneous radioactivity." Becquerel, A.H. Compt. Rend. 1896, 122 , 420; 501; 559; 689; 1086 Becquerel, A.H. Compt. Rend. 1896, 123 , 855 Becquerel, A.H. Compt. Rend. 1897, 124 , 444; 800 Becquerel, A.H. Compt. Rend. 1899, 129 , 996; 1205 Becquerel, A.H. Compt. Rend. 1900, 130 , 327; 809; 1583 Becquerel, A.H. Compt. Rend. 1900, 131 , 137 Becquerel, A.H. Compt. Rend. 1901, 133 , 977 1903 - Pierre Curie and Marie Curie, nee Sklodowska "in recognition of the extraordinary services they have rendered by their joint researches on the radiation phenomena discovered by Professor Henri Becquerel." Curie unit of radiation Curie, P; Desains, P., Compt. Rend.
    [Show full text]
  • On Max Born's Vorlesungen ¨Uber Atommechanik, Erster Band
    On Max Born’s Vorlesungen uber¨ Atommechanik, Erster Band Domenico Giulini Institute for Theoretical Physics, University of Hannover Appelstrasse 2, D-30167 Hannover, Germany and Center of Applied Space Technology and Microgravity (ZARM), University of Bremen, Am Fallturm 1, D-28359 Bremen, Germany. [email protected] Abstract A little more than half a year before Matrix Mechanics was born, Max Born finished his book Vorlesungen uber¨ Atommechanik, Erster Band, which is a state-of-the-art presentation of Bohr-Sommerfeld quantisation. This book, which today seems almost forgotten, is remarkable for its epistemological as well as technical aspects. Here I wish to highlight one aspect in each of these two categories, the first being concerned with the roleˆ of axiomatisation in the heuristics of physics, the second with the problem of quantisation proper be- fore Heisenberg and Schrodinger.¨ This paper is a contribution to the project History and Foundations of Quantum Physics of the Max Planck Institute for the History of Sciences in Berlin and will appear in the book Research and Pedagogy. The History of Quantum Physics through its Textbooks, edited by M. Badino and J. Navarro. Contents 1 Outline 2 2 Structure of the Book 3 3 Born’s pedagogy and the heuristic roleˆ of the deductive/axiomatic method 7 3.1 Sommerfeld versus Born . 7 3.2 A remarkable introduction . 10 4 On technical issues: What is quantisation? 13 5 Einstein’s view 20 6 Final comments 23 1 1 Outline Max Born’s monograph Vorlesungen uber¨ Atommechanik, Erster Band, was pub- lished in 1925 by Springer Verlag (Berlin) as volume II in the Series Struktur der Materie [3].
    [Show full text]