References to Fuller Type Models
This is a listing of papers which I have found which relate to various
models of cell structure, molecules, atoms, nuclei, and particles which are based
in some way on polyhedra, crystal, closest packing, tensegrity or other R.B. Fuller
like approaches to these subjects. If you have other references which you
think may be of interest, please let me know and I will add them to the list.
This list is in no particular order.
- Grebe, John J., "A Periodic Table For Fundamental Particles", Annals
of the New York Academy of Sciences, Vol. 76, 1958, p. 3
-
Rae, W.D.M.; Zhang, J., "Triangular Alpha Cluster Geometries and
Harmonic Oscillator Shell Structure", Modern Physcis Letters A,
Vol. 9, no. 7, 1994, pp. 599-607
-
Cook, N.D., "Nuclear Binding Energies in Lattice Models",
Journal of Physics G (Nuclear and Particle Physics), vol. 20,
no. 12, 1994, pp. 1907-17
-
Cook, N. D., "The Attenuation of the Periodic Table", Modren Physics
Letters A, Vol. 5, no. 17, 1990, PP. 1321-8
-
Cook, N.D., "A Crystal Clear View of the Nucleus", New Scientist,
Vol. 117, no. 1606, 1988, pp. 44-6
-
Cook, Norman D., "Quantization of the FCC Nuclear Theory", Atomkernenergie/Kerntechnik,
Vol. 40, 1982, p. 51
- Cook, N.D., "A Unified Theory of Atomic and Nuclear Shell Structure", Experientia,
Vol. 34, 1978, p. 419
-
Cook, Norman D., "Nuclear and Atomic Models", International Journal of
Theoretical Physics, Vol. 17, No. 1, 1978, pp. 21-32
-
Cook, N.D., "An FCC Latice Model For Nuclei", Atomkernenergie,
Vol. 28, no. 3, 1976,
pp. 195-9
-
Cook, N.D., Computing Nuclear Properties in the FCC Model, Computers
in Physics, vol. 3, no. 2, 1989, p. 73-7
-
Cook, N.D.; Dallacasa, V., "Face-centered-cubic solid-phase theory
of the nucleus", Rhysical Review C, Vol. 35, no. 5, 1987, pp. 1883-90
-
Cook, N.D.; Dallacasa, V., "The FCC Nuclear Model I. Equivalence
between the FCC Lattice and Nucleon Eigenstates and the
Correspondence With the Spin-Orbit Model", Nuovo Cimento A, Vol. 97A,
ser. 2, no. 1, 1987, pp. 157-83
-
Cook, N.D.; Dallacasa, V., "The FCC Nuclear Model II. Model
Predictions Concerning Nuclear Radii, Binding Energies and
Excited States", Nuovo Cimento A, Vol. 97A, ser. 2, No.1, 1987, pp. 184-210
-
Cook, N.D.; Dallacasa, V., "Nuclear RMS Radii in trhe FCC Model",
Journal of Physics G (Nuclear Physics), Vol. 13, no. 6, 1987, pp. L103-7
-
Cook, N.D., "Quantization of the FCC Nuclear Theory",
Atomkernenergie Kerntechnik, Vol. 40, no. 1, 1982, pp. 51-5
-
Dallacasa, V., "FCC (Face Centered Cubic) Lattice Model for
Nuclei", Atomkernenergie Kerntechnik, Vol. 37, No. 2, 1981, pp. 143-4
- Pauling,
Linus, "The Close-Packed-Spheron Theory and Nuclear Fission", Science,
Vol. 150, No. 3694, Oct. 15 1965, p. 297
- Pauling, Linus, General Chemistry, 3rd edition, 1970, Section 26-9, 26-10, p.856
-
Pauling, Linus, "Orbiting Clusters in Atomic Nuclei", Proceedings of the National
Academy of Sciences, Vol. 64, No. 3, November 15, 1969, p. 807
-
Pauling, Linus, "Structure of the Excited Rotational Band in 40Ca",
Physical Review Letters, Vol. 36, No. 3, January 19 1976, p. 162
- Pauling, Linus, "Superprolate Shape of the Spontaneous-Fission Isomer 240Am^m",
Physical Review C, Vol. 22, No. 4, Oct. 1980, p. 1585
- Pauling, Linus, "Comment on the Test for Tetrahedral Symmetry in the 16O
Nucleus and its Ralation to the Shell Model", Physical Review Letters, Vol. 49, No. 15,
Oct. 11 1982
- Pauling, Linus, "Structural Basis of the Onset of Nuclear Deformation at
Neutron Number 90", Physical Review Letters, Vol. 15, No. 22, Nov. 29 1965, p. 868
- Pauling, Linus, "Structural Significance of the Principle Quantum Number
of Nucleonic Orbital Wave Functrions", Physical Review Letters, Vol. 15, No. 11,
Sept. 13 1965, p. 499
-
Pauling, Linus, "Structure of the Excited Band in 24Mg", Physical Review Letters,
Vol. 35, No. 21, Nov. 24, 1975, p. 1480
-
Pauling, Linus, "Changes in the Structure of Nuclei Between the Magic
Neutron Numbers 50 and 82 as Indicated by a Rotating-Cluster analysis of the
Energy Values of the First 2+ Excited States of Isotopes of Cadmium, Tin, and
Tellurium", Proc. Natl. Acad. Sci. USA, Vol. 78, No. 9, Sept. 1981, pp. 5296-5298
- Pauling, Linus, "Prediction of the Shapes of Deformed Nuclei by the
Polyspheron Theory", Proc. Natl. Acad. Sci. USA, Vol. 79, April 1982, pp. 2740-2742
-
Pauling, Linus, "Rules Governing the Composition of Revolving
Clusters in Quasiband and Prolate-Deformation States of Atomic Nuclei", Proc.
Natl. Acad. Sci. USA, Vol. 79, Nov. 1982, pp. 7073-7075
- Pauling, Linus, "Magnetic-Moment Evidence For The Polyspheron Structure of the
Lighter Atomic Nuclei", Proc. Nat. Acad. Sci. USA, Vol. 58, p 2175, 1967
- Pauling, Linus, "The Close-Packed_Spheron Model of Atomic Nuclei and its Relation
to the Shell Model", Proc. Nat. Acad. Sci. USA, Vol. 54, No. 4, Oct. 15 1965, p. 989
- Pauling, Linus, "Correlation of Nonorthogonality of Best Hybrid Bond
Orbitals With Bond Strength of Orthogonal Orbitals", Proc. Nat. Acad. Sci. USA,
Vol. 73, No. 2, Feb. 1976, pp. 274-275
- Pauling, Linus, and Blethen, John, "Resonance Between a Prolate and a
Superprolate Structure of the 162Er Nucleus", Proc. Nat. Acad. Sci. USA, Vol. 71, No. 7,
July 1974, pp. 2905-2907
- Pauling, Linus, "Structural Basis of Neutron and Proton Magic Numbers
in Atomic Nuclei", Nature, Letters to the Editor, Vol. 208, Oct. 9, 1965, p. 174
- Pauling, Linus, and Herman, Zelek S., and Kamb, Barclay J., "Reliability
of the Pair-Defect_sum Approximation for the Strength of Valence-Bond Orbitals",
Proc. Natl. Acad. Sci. USA, Vol. 79, Feb. 1982, pp. 1361-1365
- Pauling, Linus, "Regularities in the Sequences of the Number of Nucleons in
the Revolving Clusters for the Ground-State Energy Bands of the Even-Even
Nuclei with Neutron Number Equal to or Greater than 126". Proc. Natl. Acad. Sci. USA,
Vol. 87, June 1990, pp. 4435-4438
-
Pauling, Linus, "Rotating Clusters In Nuclei", Can. J. Phys., Vol. 53, 1975, p. 1953
-
Anagnostatos, G.S., "The Geometry of the Isomorphic Model of the Closed-Shell
Nuclei", Can. J. Phys, Vol. 51, 1973, p. 998
- Winans, J. Gibson, "A More Exact Uncertainty Principle", Superheavy Elements:
Proc. Inter. Symp. on Superheavy Elements, 1978, Ed. M.A.K. Lodhi, p. 564
- Winans, J. Gibson, "Crystalline Structure of Heavy and Super-Heavy Elements",
Superheavy Elements: Proceedings of the International Symposium on Superheavy Elements,
1978, Ed. M.A.K. Lodhi, p. 557
-
de Llano, M., and Plastine, A., "Hartree-Fock States in the Thermodynamic Limit",
Physical Review A, Vol. 13, No. 4, April 1976, p. 1633
-
Robson, D., "Many-Body Interactions From Quark Exchanges and the Tetrahedral
Crystal Structure of Nuclei", Nuclear Physics, Vol. A308, 1978, pp. 381-428
- Day, William, Bridge From Nowhere: A Story of Space, Motion, and the Structure of
Matter, House of Talos Pub., 1989
- Day, William, Bridge From Nowhere II, to be published
- Bromley, D. Allan, "Nuclear Molecules", Scientific American, Vol. 239, No. 6,
Dec. 1978, p.58
- Martin, T.P. and NaHer, U. and Schaber, H., and Zimmermann, U., "Clusters of
Fullerene Molecules", Physical Review Letters, Vol. 70, No. 20, May 17 1993, p.3079
- Naher, U., and Zimmermann, U., and Martin, T.P., "Geometrical Shell Structure of
Clusters", J. Chem. Phys., Vol. 99, No. 3, August 1 1993, p. 2256
- Hoare, M.R., "Structure and Dynamics of Simple Microclusters", Advances in
Chemical Physics, Vol. 40, 1979, p. 49, Ed. I. Prigogine and Stuart A. Rice
- Hecht, Laurence, "The Geometric Basis for the Periodicity of the Elements",
21st Century, May-June 1988, p.18
- White, "Interview: Dr. Robert Moon", Executive Intelligence Review, Vol. 14,
No. 43, Oct. 30 1987, p. 31
- White, "New Hypothesis Shows Geometry of Atomic Nucleus", Executive Intelligence
Review, Vol. 14, No. 44, Nov. 6 1987, p. 18
- Snelson, Kenneth, "Portrait of an Atom--A Most Didactic Work of Art", in the book
"Kenneth Snelson", published by The Buffalo Fine Arts Academy, 1981, Library of
Congress Catalogue Card Number 81-66596
- Coxeter, H.S.M., "Virus Macromolecules and Geodesic Domes, in A Spectrum of
Mathematics Essays Presented to H.G. Forder, Ed. J.C. Butcher
- Stewart, Ian, "Build Your Own Virus", Chapter 6 of his book "Game, Set and Math",
Penguin Books, 1989
- Andersson, Tell, "Quark Structure of Matter: Outline of a New Model", (I obtained
a copy of this report from the Buckminster Fuller Institute a few years ago. I don't
know if it has been published.)
- Andersson, Tell, and Andersson, Bjorn, "Quanta Modules and Physics", 1987,
ISBN 91 7328 588 9
- Andersson, Tell, "A Model of the Hadron Mass Spectrum Based on Plato's Basic
Triangles", (I don't have any further info on this. I obtained a copy from the
Buckminster Fuller Institute.)
- Ingber, Donald E., "Cellular Tensegrity: Defining New Rules of Biological
Design That Govern The Cytoskeleton", Journal of Cell Science, Vol. 104, 1993,
pp. 613-627
- Kajikawa, Yasushi, "Growing Icosahedra", (I am told that this paper appeared
in the Japan edition of Scientific American, but not the American edition. I
don't have any dates or further details on its publication. The Buckminster Fuller
Institute has copies of this paper.)
Also of interest are the works of Steve Combs, who has done some work matching
polyhedra with masses of elementary particles, and S. Martin Waterman, who has
done extensive studies of closest packing of spheres. I do not know of any
published papers by these people but I suspect you can contact them through
the Buckminster Fuller Institute.
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