Schola quantorum: progress, rationality and inconsistency in the old atomic theory. Part I: historical development, 1913-1925

Authors

  • Valter Alnis Bezerra Universidade de São Paulo. Faculdade de Filosofia, Letras e Ciências Humanas

DOI:

https://doi.org/10.1590/S1678-31662003000400004

Keywords:

Old atomic theory, Quantum theory, Correspondence principle, Quantization condition, Zeeman effect, Stark effect, Spectral series, BKS theory, Spin, Exclusion principle, Inconsistency, Bohr, Sommerfeld, Kramers, Slater, Pauli, Einstein

Abstract

In this paper, the first of a series, a historical overview of the conceptual development of the Old Atomic Theory is sketched, ranging from Bohr's first model for atomic structure, in 1913, to the proposal of the exclusion principle by Pauli, in 1925. Initially, arguments are given that aim to establish the validity and the relevance of a study of a research program such as the Old Atomic Theory, and an attempt is made to put that program in context within the framework of quantum theory in general. Next, one discusses topics such as: the structure of atomic spectra, the status of the correspondence principle, Sommerfeld's general quantum condition in terms of phase integrals, the elliptic-relativistic model of the atom, the Bohr-Kramers-Slater theory of radiation, Kramer's theory of dispersion, the concept of spin, the problem of the electronic configuration of atoms, and the structure of the periodic table, among others. An effort is made to present a history that highlights the inter-relations between concepts, and ample reference is made both to the primary sources and to the relevant secondary literature. The historical overview thus developed will serve as a basis for a second, forthcoming paper, in which Imre Lakatos' reading of the Old Atomic Theory will be critically analyzed. Although prepared originally with a view to serving as a reference for the ensuing paper, the present text can also be read in an autonomous way, functioning as a brief (and by no means exhaustive) historical introduction to this important and fascinating period of twentieth century physics.

Downloads

Download data is not yet available.

References

BEZERRA, V. A. “Schola quantorum: progresso, racionalidade e inconsistência na antiga teoria atômica. Parte II: crítica à leitura lakatosiana”. Scientiae Studia, no prelo.

BOHR, N. “On the constitution of atoms and molecules”. Philosophical Magazine, 26, 1913a, p. 1-25, 476-502, 857-75. (Fac-símile in: BOHR, N. Collected works. Vol. II. Work on atomic physics (1912-1917). Amsterdam, North-Holland, 1981, p. 159-233.)

BOHR, N. “On the constitution of atoms and molecules. Part I”. In: TER HAAR, D. (ed.). The old quantum theory. Oxford, Pergamon, 1967 [1913a], p. 132-59.

BOHR, N. Sobre a constituição de átomos e moléculas. Introd. de L. Rosenfeld. Trad. de E. Namorado. Lisboa, Gulbenkian, 1979 [1913a].

BOHR, N. “On the spectra of helium and hydrogen”. Nature, 92, 1913b, p. 231-2.

BOHR, N. “On the series spectrum of hydrogen and the structure of the atom”. Philosophical Magazine, 29, 1915, p. 332-5.

BOHR, N. “On the quantum theory of line-spectra”. Det Kongelige Danske Videnskabernes Selskab. Skrifter. Naturvidenskabelig og Mathematisk Afdeling (København), 8. Raekke, IV, 1, 1918, p. 1-118. (Fac-símile in: BOHR, N. Collected works. Vol. III. The correspondence principle (1918-1923). Amsterdam, North-Holland, 1976, p. 65-184.)

BOHR, N. “On the quantum theory of line-spectra. Introduction and Part I”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1918], p. 95-137.

BOHR, N. “Seven lectures on the theory of atomic structure”. (Conferências não publicadas, originalmente proferidas em Göttingen, 1922.) In: BOHR, N. Collected works. Vol. IV. The periodic system (1920-1923). Amsterdam, North-Holland, 1977 [1922], p. 341-419.

BOHR, N. Collected works. Vol. III. The correspondence principle (1918-1923). Ed. de J. R. Nielsen. Amsterdam, North-Holland, 1976.

BOHR, N. Collected works. Vol. IV. The periodic system (1920-1923). Ed. de J. R. Nielsen. Amsterdam, North-Holland, 1977.

BOHR, N. Collected works. Vol. II. Work on atomic physics (1912-1917). Ed. de U. Hoyer. Amsterdam, North-Holland, 1981.

BOHR, N.; KRAMERS, H. A. & SLATER, J. C. “The quantum theory of radiation”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1924], p. 159-76.

BORN, M. “Quantum mechanics”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1924], p. 181-98.

BROWN, L. M. & HODDESON, L. (eds.). The birth of particle physics. Cambridge, Cambridge University Press, 1983.

CHENG, D. C. & O’NEILL, G. K. Elementary particle physics: an introduction. Reading, Massachusetts, Addison-Wesley, 1979.

D’ABRO, A. The rise of the new physics: its mathematical and physical theories. Vol. II. 2a ed. Nova Iorque, Dover, 1951.

DARWIN, C. G. “A quantum theory of optical dispersion”. Nature, 110, 1922, p. 841-2.

DIRAC, P. A. M. “The origin of quantum field theory”. In: BROWN, L. M. & HODDESON, L. (eds.). The birth of particle physics. Cambridge, Cambridge University Press, 1983, p. 39-55.

EHRENFEST, P. “Adiabatic invariants and the theory of quanta”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1917], p. 79-93.

EISBERG, R. & RESNICK, R. Física quântica. Rio de Janeiro, Campus, 1979.

EINSTEIN, A. “On the quantum theory of radiation”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1917], p. 63-77.

HEISENBERG, W. “Quantum-theoretical reinterpretation of kinematic and mechanical relations”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1925], p. 261-76.

JAMMER, M. The conceptual development of quantum mechanics. Nova Iorque, McGraw-Hill, 1966.

KRAMERS, H. A. “Intensities of spectral lines - On the application of the quantum theory to the problem of the relative intensities of the components of the fine structure and of the Stark effect of these lines of the hydrogen spectra”. Det Kongelige Danske Videnskabernes Selskab. Skrifter. Naturvidenskabelig og Mathematisk Afdeling (København), 8. Raekke, 6, 3, 1919, p. 284-386. (Fac-símile in: KRAMERS, H. A. Collected scientific papers. Amsterdam, North-Holland, 1956 [1919], p. 5-108.)

KRAMERS, H. A. “The law of dispersion and Bohr’s theory of spectra”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967a [1924a], p. 177-80.

KRAMERS, H. A. “The quantum theory of dispersion”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967b [1924b], p. 199-201.

KRAMERS, H. A. Collected scientific papers. Ed. de H. B. G. Casimir. Amsterdam, North-Holland, 1956.

KRAMERS, H. A. & HEISENBERG, W. “On the dispersion of radiation by atoms”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1925], p. 223-52.

KUHN, T. S. Black-body theory and the quantum discontinuity, 1894-1912. Chicago, University of Chicago Press, 1978.

KUHN, W. “On the total intensity of absorption lines emanating from a given state”. In: VAN DER WAER-DEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1925], p. 253-7.

LADENBURG, R. “The quantum-theoretical interpretation of the number of dispersion electrons”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1921], p. 139-57.

LAKATOS, I. “Falsification and the methodology of scientific research programmes”. In: LAKATOS, I. Philosophical papers. Vol. I. Cambridge, Cambridge University Press, 1978, p. 8-101.

LAKATOS, I. Philosophical papers. Vol. I. Ed. de J. Worrall & G. Currie. Cambridge, Cambridge University Press, 1978.

LÉVY-LEBLOND, J.-M. “The pedagogical role and epistemological significance of group theory in quantum mechanics”. Rivista del Nuovo Cimento, 4, 1, 1974, p. 99-143.

LORENTZ, H. A. The theory of electrons. 2a ed. Nova Iorque, Dover, 1952 [1909].

MEHRA, J. & RECHENBERG, H. The historical development of quantum theory. Vol. I. Part I. The quantum theory of Planck, Einstein, Bohr and Sommerfeld: its foundation and the rise of its difficulties, 1900-1925. Nova Iorque, Springer, 1982a.

MEHRA, J. & RECHENBERG, H. The historical development of quantum theory. Vol. I. Part II. The quantum theory of Planck, Einstein, Bohr and Sommerfeld: its foundation and the rise of its difficulties, 1900-1925. Nova Iorque, Springer, 1982b.

MENDELEEV, D. I. “On the relationship of the properties of the elements to their atomic weights”. Zeitschrift für Chemie, 12, 1869, p. 405-6. Trad. de C. Giunta. URL: http://webserver.lemoyne.edu/faculty/giunta/mendeleev.html, obtido em 31/12/2003.

MENDELEEV, D. I. “The periodic law of the chemical elements”. Journal of the Chemical Society, 55, 1889, p. 634-56. URL: http://webserver.lemoyne.edu/faculty/giunta/mendel.html, obtido em 31/12/2003.

MOSELEY, H. G. J. “The high frequency spectra of the elements”. Philosophical Magazine, 26, 1913, p. 1024-34. URL: http://dbhs.wvusd.k12.ca.us/Chem-History/Moseley-article.html, obtido em 08/01/2004.

MOSELEY, H. G. J. “The high frequency spectra of the elements. Part II”. Philosophical Magazine, 27, 1914, p. 703-13. URL: http://dbhs.wvusd.k12.ca.us/Chem-History/Moseley-article.html, obtido em 08/01/2004.

NIELSEN, J. R. “Introduction”. In: BOHR, N. Collected works. Vol. III. The correspondence principle (1918-1923). Amsterdam, North-Holland, 1976, p. 3-46.

PAULI, W. “On the connexion between the completion of electron groups in an atom with the complexstructure of spectra”. In: TER HAAR, D. (ed.). The old quantum theory. Oxford, Pergamon, 1967 [1925],p. 184-203.

PAULI, W. “The connection between spin and statistics”. Physical Review, 58, 1940, p. 716-22.

POPPER, K. R. O universo aberto: argumentos a favor do indeterminismo. (2° volume do pós-escrito à Lógica da descoberta científica.) Org. de W. W. Bartley III. Trad. de N. F. da Fonseca. Lisboa, Dom Quixote, 1988.

RADDER, H. “An immanent criticism of Lakatos’ account of the ‘degenerating phase’ of Bohr’s atomic theory”. Zeitschrift für allgemeine Wissenschaftstheorie, 13, 1, 1982, p. 99-109.

RADDER, H. “Heuristics and the generalized correspondence principle”. British Journal for the Philosophy of Science, 42, 1991, p. 195-226.

SAKURAI, J. J. Modern quantum mechanics - Revised edition. Ed. de S. F. Tuan. Reading, Massachusetts, Addison-Wesley, 1994.

SCERRI, E. “Prediction of the nature of Hafnium from chemistry, Bohr’s theory and quantum theory”. Annals of Science, 51, 1994, p. 137-50.

SCERRI, E. “Popper’s naturalized approach to the reduction of chemistry”. International Studies in the Philosophy of Science, 12, 1, 1998, p. 33-44.

SEMAT, H. Fundamentals of physics. 4 a ed. Nova Iorque, Holt, Rinehart and Winston, 1966.

SLATER, J. C. “Radiation and atoms”. Nature, 113, 1924, p. 307-8.

SOMMERFELD, A. Atomic structure and spectral lines. 3 a ed. Trad. de H. L. Brose. Londres, Methuen, 1928.

SOMMERFELD, A. Atomic structure and spectral lines. Vol. I. 5 a ed. Trad. de H. L. Brose. Nova Iorque, E. P. Dutton, 1931.

TER HAAR, D. “Part I”. In: TER HAAR, D. (ed.). The old quantum theory. Oxford, Pergamon, 1967, p. 3-75.

TER HAAR, D. (ed.). The old quantum theory. Oxford, Pergamon, 1967.

TIPLER, P. A. Física moderna. Rio de Janeiro, Guanabara Dois, 1981.

VAN DER WAERDEN, B. L. “Introduction”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967, p. 1-59.

VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967.

VAN VLECK, J. H. “The absorption of radiation by multiple periodic orbits, and its relation to the correspondence principle and the Rayleigh-Jeans law. Part I. Some extensions of the correspondence principle”. In: VAN DER WAERDEN, B. L. (ed.). Sources of quantum mechanics. Amsterdam, North-Holland, 1967 [1924], p. 203-22.

WHITTAKER, E. A history of the theories of aether and electricity. The classical theories. Nova Iorque, Humanities Press, 1973a.

WHITTAKER, E. A history of the theories of aether and electricity. The modern theories, 1900-1926. Nova Iorque, Humanities Press, 1973b.

Published

2003-12-01

Issue

Section

Artigos

How to Cite

Schola quantorum: progress, rationality and inconsistency in the old atomic theory. Part I: historical development, 1913-1925 . (2003). Scientiae Studia, 1(4), 463-517. https://doi.org/10.1590/S1678-31662003000400004