The research material consists of Onsager’s notes together with related reprints, manuscripts and correspondence. The folders are grouped in the following fourteen categories: Dielectrics, Electrolytes, Ice, Irreversible processes, Thermal diffusion, Ising model, Metals and semiconductors, Liquid helium, Hydrodynamics, Surface tension, Origin of life, Mathematics, Colloids and Unclassified. The contents of each folder remain as Onsager left them. In many cases, Onsager's own descriptions on the original folders or envelopes were transferred to the new folders by the Yale Library, and put in inverted commas. These often abbreviated Onsager labels have been extended to more complete titles (given in brackets). Some folders have comments on them, written by the researchers who were helping Yale University Library with the classification. The initials on the comments refer to Stefan Machlup (SM), Philip A. Lyons (PAL), John Nagle (JN), Raymond M. Fuoss (RMF) and Andrew Patterson, Jr. (AP).
| 5 |
Dielectrics (folders 1-7) |
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Electrolytes (folders 8-35) |
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| 6 |
Electrolytes (cont.) (folders 36-49) |
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| 7 |
Electrolytes (cont.) (folders 50-58) |
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Ice (folders 59-74) |
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| 8 |
Ice (cont.) (folders 66-74) |
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Irreversible processes (folders 75) |
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Thermal diffusion (folders 76-80) |
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| 9 |
Thermal diffusion (cont.) (folders 81-93) |
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Ising model (folders 94-100) |
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| 10 |
Ising model (cont.) (folders 101-104) |
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Metals and semiconductors (folders 105-108) |
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Liquid helium (folders 109-119) |
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Hydrodynamics (folders 120-122) |
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| 11 |
Hydrodynamics (cont.) (folders 123-135) |
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Surface tension (folders 136-141). |
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Origin of life (folders 142-146) |
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| 12 |
Mathematics (folders 147-174) |
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| 13 |
Mathematics (cont.) (folders 175-188) |
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Colloids (file 189) |
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Unclassified (folders 190-203) |
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| 14 |
Unclassified (cont.) (folders 204-228) |
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Box:file |
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5:1-7 |
Dielectrics |
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| 5:1 |
Dielectric constant of hydrogen fluoride; 1972? – SM |
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| 5:2 |
"Lattices, numerical"/TS/"electrets"/"Potential of plane lattice with charges [and] dipoles" |
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| 5:3 |
"[face]-c[entered] c[ubic] structure: elastic spectrum" |
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| 5:4 |
"Reaction field, DK"/polymers, infinite chain – SM |
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| 5:5 |
"Dipoles: Green’s theorem"/probably background information for theory of liquid dielectric constants – PAL |
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| 5:6 |
"Seignette-electrics below Curie Point" |
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| 5:7 |
Ice-like seignette-electrics"/Curie point - NO" – SM |
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5:8-7:58 |
Electrolytes |
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| 5:8 |
Wien effect, 1971 – SM/MS fragment/ "nothing new – a historical review, then takeoff on electrons in liquid helium" – AP |
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| 5:9 |
Unidentified/"Wien effect, active transport, end 1969?"- SM/1971 |
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| 5:10 |
"Random coil"/electrostatics of polyelectrolyte chain – PAL |
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| 5:11 |
"Electrode polarization" |
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| 5:12 |
"Self-avoiding chain"/1 |
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| 5:13 |
"Self-avoiding chain"/2/M.E. Fisher and D.S. Gaunt, "Ising model and self- avoiding walks on hypercubical lattices and ’High-density’ expansions," Phys. Rev. 133, No. 1A, A224-A239 (1964) |
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| 5:14 |
"Electrophoresis ’exact’/has historical interest; part was published in Onsager and Fuoss, "The conductance of symmetrical electrolytes. III. Electrophoresis" (no. 60) – RMF |
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| 5:15 |
"Concentrated Electrolytes"/MS, "Theories of concentrated electrolytes" (no. 10)/related calculations labelled "Gürtelberg Principle", "Approach to Debye-Hückel K", "Distribution function. Attempt for binary electrolyte". "Error in Gronwall approximation", "Miscellaneous", "øn" and unlabelled – RMF. "Debye-Huckel Prediction of Phase Separation in ionized Gas Mixtures"/MS |
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| 5:16 |
Electrolytes C-C"/ much is preliminary to articles in J. Phys. Chem. (nos. 56, 59, 60, 64, 68)/RMF. Numerical computations for theory of electrolytes |
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| 5:17 |
"Poisson-Boltzmann"/TS, "Theory of the electric double layer/TS, "The Poisson-Boltzmann equation in cylindrical coordinates"/1950/probably related to Onsager and Kim, "The relaxation effect in mixed strong electrolytes" (no. 45) – AP |
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| 5:18 |
"Poisson-Boltzmann" |
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| 5:19 |
"Recombination>® Relaxation"/(The ideas entered largely into his Wien effect papers. – AP |
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| 5:20 |
"Recomb[ination] – Rela[xation]"/"these ideas entered into his Wien effect papers. – AP. Langevin diffusion. – SM |
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| 5:21 |
"’Polarization’ in Wien effects cells/ "Estimates of relaxation times, apparently" – AP |
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| 5:22 |
"Freezing potentials"/ Poisson equation? – SM |
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| 5:23 |
"Relax[ation] - Electrophoresis/1968 |
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| 5:24 |
"Water Relaxation"/"Force on oscillating sphere"/ "Wyman" /Lamb, p. 633+" |
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| 5:25 |
"Problems"/diffusion in electrolytes – SM/"Thoughts, no obvious conclusions" – AP |
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| 5:26 |
"Wien effect, strong electrolytes"/TL, Onsager to Eckstrom, 1938, June 18 |
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| 5:27 |
"Bijl"/kinetic theory – SM/"Momentum quantized in resting frame of reference" |
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| 5:28 |
"Cataphoresis" |
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| 5:29 |
"Dissociation constants and sundry"/ "The variation of ionic mobilities with the field for HCl and for HAc at 25o" |
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| 5:30 |
"Ionic at[mosphere]s, 2 [frequencies] |
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| 5:31 |
"Data"/ "CoCl2 in Acetone"/Gemant, liquid dielectrics (1933) |
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| 5:32 |
"Data on conduction in strong fields"/Gemant, p. 89/ H. Schiller, Ann. Physik [4], 81, 32 (1926) |
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| 5:33 |
"Velocities in ion pairs/ Wien effect – RMF |
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| 5:34 |
"DK of Gemant’s benzene solutions"/ "Preliminary calculations on theory of relaxation field in dielectrics – published about 1934?" – RMF/ "Falkenhagen theory" |
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| 5:35 |
Electrolytes? – SM/1973-74 |
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| 6:36 |
"Electrolytes"/"The Relaxation effects in mixed strong electrolytes" (no. [45])/ALS, Roy C. Gunter, Jr., to L. Onsager, 1973 Aug. 18/MS, "Transport processes in strong electrolytes", 1973? – SM/"A correction to the Poisson-Boltzmann equation for unsymmetrical electrolytes" (no. [63]). Janz and Müller, "Ionic Association: A Laser-Raman study in the Fuoss-Onsager dilution, solution range (preprint) |
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| 6:37 |
"Auxiliary to dev[iation from] Ohm law"/ Gemant, pp. 78-79/"Acetone" |
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| 6:38 |
"Diffusion of electrophoretic boundary" |
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| 6:39 |
"[Joseph F.] Malerba"/ freezing potential/ Malerba MS/ALS (copy), John F. Nagle to Max Hubman, 1976 June 16/ALS, Joseph Hubbard to Onsager, 1976 June 25. Gross et al. (preprints). Onsager to J.F. Malerba, 1973, Nov. 8. |
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| 6:40 |
"Freezing potentials"/ "His interest was protonic jumping in ice" – AP/1962. A. Patterson, Jr.: Some measurements of freezing potential" /TS |
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| 6:41 |
Electrical properties of doped ice |
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| 6:42 |
Electrolytes, 1974? MS for review of monograph on ice. Auslander to Onsager 1974, May 1. |
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| 6:43 |
T.H. Einwohner: Alternating current conductance of mixed electrolytes. Yale Ph.D., 1963 |
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| 6:44 |
Strong electrolytes. Publications [42], [44], [46], [63]. M.-S. Chen: "The Conductance of mixed strong electrolytes at finite concentrations." Yale Ph. D., 1969. Carman: "Logarithmic terms in conductivity equation." Chiu and Fuoss: "Conductance of the Alkali Halids XII". |
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| 6:45 |
Onsager and A.M. Stewart: Asymptotic forms for luminescent intensity due to donor-acceptor pair recombination. TS for [87]. |
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| 6:46 |
Liu, Chia-tsun: "The effect of screening of the ionic atmosphere on the theory of Wien effect in weak electrolytes. Abstract of Yale Ph.D., 1965. Oral examination |
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| 6:47 |
Onsager to Kallenbach 1961, May 9. (Re: Kallenbach, Neville R.: The microviscosity of electric solutions. Yale Ph. D., 1961) |
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| 6:48 |
F. Sauer to Onsager 1973, June 18. |
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| 6:49 |
Unidentified/MS, "Kinetic depolarization of solvents by ion migration"/ partial MS[88]. MS, "Dielectric dispersion in ionic conductors". (Onsager and Hubbard, progress report, 1975) |
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| 7:50 |
Unidentified/1973? |
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| 7:51 |
"Mostly electrolytes, etc." TS (copy). Durand et al. "Bulk conductivity of ice…"Onsager to Mandel 1974, Dec. (draft) |
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| 7:52 |
"Mostly electrolytes, etc." – JN (2)/MS, "The dielectric dispersion of electrolyte solutions" |
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| 7:53 |
"Mostly electrolytes, etc." – JN (3)/MS "Reduction of dielectric polarization by the migration of ions. Onsager to Isihara 1974, Dec. 23 (draft) |
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| 7:54 |
"Mostly electrolytes, etc." – JN (4)/Born, M.: "Über die Beweglichkeit der elektrolytischen Ionen"/ MS (copy), TS. H. Schmich: "Zur Theorie der anomalen Beweglichkeit elektrolytischen Ionen" |
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| 7:55 |
Unidentified /MS/ Malerba, Joseph: "Theoretical investigations of the freezing potential phenomenon. Yale Ph. D., 1976/MS, "Freezing Potentials" |
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| 7:56 |
"Conductance"? – SM |
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| 7:57 |
Joseph B. Hubbard: Dielectric dispersion and mobility of ions…" /MS. Hubbard to Onsager (two undated letters). See also XII |
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| 7:58 |
"Electrode Effects": notes …, 1976? – SM |
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7:59-8:74 Ice |
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| 7:59 |
"C log C"/ Ice, Bjerrum fault, ion transport in crystals – SM |
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| 7:60 |
"KD2 PO4-Td" /Relaxation and Polarization – PAL/ KD2 PO4 – Mill, R.M. and S.K. Ichiki: Phys. Rev., 130, 150/Triglycine sulphate – Phys. Rev., 128, 1140 |
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| 7:61 |
"Ice, etc."/Temperature coefficients of dielectric constant – SM/ MS Fragment, "Chain association in polar liquids/ Montroll, Elliot W.: "Statistical Mechanics of Nearest Neighbor Systems" |
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| 7:62 |
"Ice, Miscell." /number of chains of at least two molecules – SM |
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| 7:63 |
"KH2 PO4 dipoles ice" |
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| 7:64 |
"Div[ergence] clusters" |
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| 7:65 |
"Protonics"/ notes for talk |
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| 8:66 |
"Ice"/"Dihedral subgroup"/1959 |
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| 8:67 |
"H+ Motion"/TS abstract, "Ion motion and dielectric relaxation"/ "Dr. R.S. Freund, Bell Telephone Labs" |
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| 8:68 |
"Lorentzen"/MS in Norwegian,/ "Proton migration on Bethe lattice"; calculations only – SM |
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| 8:69 |
Drost-Hansen, W. Proposal for "Studies of amorphous ice", 1974 |
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| 8:70 |
Minagawa, Isao, "A Theory of the mobility of (H3O)+ Defects in ice crystals"/2 ALS, Minagawa to Onsager, 1973, Feb. 8 and Oct. 4 |
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| 8:71 |
Brinkman to Onsager 1972, May 3 (with 3 reprints), "III. Solution of the hopping problem on the Cayley tree with open surface"/TS. Mandel to Onsager, 1975, March 4. Nagle to Onsager, 1973, June 11 and June 28 1974, Feb. 6 and May 3. Nagle to Sturtevant and Peters, June 11 |
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| 8:72 |
"Ice (Zürich)". See also XII |
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| 8:73 |
"Ice"/ Sussmann, J.A. "The Theory of proton transfer in hydrogen bonded solids"/ Schmitt, V.H., "Dynamical effects of deuteron intrabond jumping in KD2 PO4 ". H.-C. Spatz, "Über das kinetische Verhalten von Protonen und Deutronen in Eiskristallen". J.E. Bertie et al., "Absorptivity of ice I…" P.R. Camp et al. "Electrical conduction in ice". |
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| 8:74 |
Nagle, J.F. Dielectric constant of ice. J. Chem. Phys. 61, 883-88 (1974) |
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8:75 Irreversible Processes |
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| 8:75 |
R. Kubo "The fluctuation-dissipation theorem", Rep. Prog. in Physics, 29 Part I (1966) |
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8:76-9:93 Thermal Diffusion |
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| 8:76 |
"[Helium] Therm[al] diffusion"/3He –4He isotope separation – SM |
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| 8:77 |
"Thermal diffusion" |
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| 8:78 |
"Isotopes by Soret Effect" |
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| 8:79 |
"[Helium] + Ne[on]" |
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| 8:80 |
"Transient Phenomena in diffusion column" |
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| 9:81 |
"Isotopes by thermal diffusion"/TS, "On the theory of isotope separation by thermal diffusion (no. 19). Onsager-Furry correspondence, 1939, March-May (10 letters) |
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| 9:82 |
"Entropy efficiency"/ "thermal diffusion"/ ordinary diffusion – SM/ Efficiency of isotope separation – SM |
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| 9:83 |
"H2 by migration"/ "Mobilities of H1 and H2 at 0o. Conductance of HCl at 0o "/TS, "Flow due to diffusion" |
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| 9:84 |
"O2 + e-"/ "O2 electron transport" |
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| 9:85 |
"Dissipation"/ Gas transport in the centrifuge – SM/ Entropy source density – SM |
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| 9:86 |
"V[an] d[er] Waals-Collision" |
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| 9:87 |
"Fringe Method"/ Re: Onsager and L.J. Gosting, "General Theory for the Gouy Diffusion Method" (no. 36) |
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| 9:88 |
"Collisions in gases"/kinetic theory, collision integral – SM |
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| 9:89 |
"Gas Theory" |
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| 9:90 |
"Clouds"/ "Supersaturation factor, equilibrium rate of evap[oration]" |
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| 9:91 |
"Zeeman effect of free paths" |
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| 9:92 |
"Thermal Diffusion"/Mou-Shan Chen, "The Conductance of mixed Strong Electrolytes at finite Concentrations, "Yale Ph.D. 1969/ Gupta, P.K. and A.R. Cooper, Jr., "The [D] matrix for multicomponent diffusion". W.L. Ducker to Onsager, 1944, Feb. 19, Feb. 29, March 27. G. Koscielniak to Onsager 1970, Apr. 18 |
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| 9:93 |
"Separation of isotopes by thermal [diffusion]" (no. 19) |
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9:94-10:104 Ising model |
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| 9:94 |
"(C[rystal] st[atistics]. I) Ising model. Temperley’s method. Star-triangle transformation |
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| 9:95 |
"Bruria Kaufman" (1)/untitled + TS of B. Kaufman, "Crystal statistics. II"/Correspondence, 1945-1947. Onsager to J. von Neumann 1947, Feb. 27. J. von Neumann to Onsager 1947, March 7 |
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| 9:96 |
"Bruria Kaufman" (2)/untitled TS of B. Kaufman and L. Onsager, "Crystal statistics. III" (no. 32)/correspondence, 1947-50. J.E. Brooks to Onsager 1949, May 13 |
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| 9:97 |
"C[rystal] st[atistics], II, III"/TS (copy), Kaufman, B. "Crystal statistics. II"/TS (copy), Kaufman, B. and L. Onsager, "Crystal statistics III" (no.32)/correspondence, 1946 and 1950/TS, "Solution of the differential equation" |
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| 9:98 |
"Crystal pseudo potentials" |
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| 9:99 |
"Lattices, formals"/numerical computations |
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| 9:100 |
"Neighborhood in polymer"/Berlin and Montroll, J. Chem. Phys. (1952 Jan) |
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| 10:101 |
"Rectangular lattice II-V"/TS, "We first define the two sets of operators…" /"Wannier transformation"/TS, "Bloch-type operators and characteristic vectors" |
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| 10:102 |
"Bloch-type operators" – SM |
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| 10:103 |
C.J. Thompson and M.J. Wardrop, "Critical points of two-dimensional Ising models,", J. Phys. A: Math., Nucl. Gen. 7, L 65-69 (1974) |
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| 10:104 |
"Lecture notes"/ë -transitions"/resistivity – SM |
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10:105-10:108 Metals and semiconductors |
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| 10:105 |
"Low t[emperature] sp[ecific] heat: crystals"/R.M. Mazo to Onsager, 1959 Oct 8 |
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| 10:106 |
"Sp[ecific] heat of crystals at low temp[erature]s |
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| 10:107 |
"de Haas-van Alphen effect"/re: "Interpretation of the de Haas-van Alphen effect," Phil. Mag., 43, 1006 (1951) (no. 35) |
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| 10:108 |
Graph, "Specific heat curve for n-hexdecylalcohol" |
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10:109-10:122 Liquid Helium |
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| 10:109 |
"(Stevens) He lecture"/"Bogoliubov"/"roton. Feynman & Cohen. Frölich & Kuper"/proof, "Helium II" (no. 62) |
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| 10:110 |
"He Film" |
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| 10:111 |
"He: ¼ hí "/MS, "1), Gradual consumption of detergent> indicates> that same coats fibres…" |
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| 10:112 |
"Liq[uid] He[lium]"/Quantization of sound" |
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| 10:113 |
"He: Surface Tension" |
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| 10:114 |
"He II (mostly Landau)"/"Heat flow relative to matter" |
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| 10:115 |
"He DK". Expansion of He |
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| 10:116 |
"Low Temps"/1946 |
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| 10:117 |
"Ions in He[lium] liq[uid]"/C. Kuper, Phys. Rev., 122, 1007 (1961) |
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| 10:118 |
"He[lium]-order for t[emperature] >0"/Second-quantized - SM |
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| 10:119 |
"e- in He"/Kuper, Phys. Rev., 122, 1007 (1967)/Atkins, Phys. Rev. 116, 1339 (1959) |
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| 10:120 |
"He rotation, etc."/monolamellar; bilamellar; rotons, vortex rings – SM/Bogoliubov and Zubarev, J. Exper. Theor. Phys. 28, 129-39 (1955) |
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| 10:121 |
He: quantum of circulation – SM |
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| 10:122 |
"Proton structure"/cites Bogoliubov and Zubarev, J. Exper. Theor. Phys. USSR, 28, 129 (1955)/excitations of the system of interacting Bose particles – SM |
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11:123-11:135 Hydrodynamics |
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| 11:123 |
"Ion-vortex interaction"/also re electrolytes – SM |
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| 11:124 |
"Electromechanical oscillations" |
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| 11:125 |
"Viscosity"/TS, "Viscosity in particle shape in colloid solutions" (no. 11)/"Evaluation of integrals"/"Viscosity of ellipsoids in solution. Jeffery’s solution"/"Force-pair. Relaxation-time. Kinetic energy. Average off over directions. Numerical calculations." Onsager to Dr. Eisenstein (draft in German) |
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| 11:126 |
"Jeffery" |
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| 11:127 |
"Boundary layer" |
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| 11:128 |
"Reynolds number" |
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| 11:129 |
"Hydrodynamics"/cites Taylor, Proc. Roy. Soc. (1935-38)/V. Kármán and Howarth,ibid. (1938)/J.M. Burgers (1929)/Oseen, 1931 |
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| 11:130 |
"Boundary conditions. Flow from origin prescribed" |
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| 11:131 |
"BK wave, free boundary, etc." |
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| 11:132 |
"Turbulence"/"Hydrodynamics (Turbulence) – Kinetic energy and dissipation function to sums of squares"/"Turbulent cascade"/1975? – SM |
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| 11:133 |
MS (copy), "Detailed properties of cylindrical boundary layers" |
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| 11:134 |
"Hydrodynamics 1970, 1974?" – SM |
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| 11:135 |
"Turbulence" |
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11:136-11:141 Surface tension |
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| 11:136 |
"Surface tension"/related to thesis of Nicholas Samaras ["Medium changes in homogenous catalysis and their theoretical interpretation," 1931?] – RMF |
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| 11:137 |
"Bubble"/surface tension – PAL/Energy of formation – SM |
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| 11:138 |
"123 Gouy Layer"/surface tension – PAL |
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| 11:139 |
"Landau, Jones-Ray effect"/Viscosity of electrolyte solutions, surface tension of liquids in capillaries – PAL/MS, "Wetting of electrokinetically active surfaces. I. Thickness of the wetting film"/TS, "General. Adsorption of ions on the walls of the capillary causes the wall to acquire an electrostatic potential… Computation for a binary electrolyte…" |
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| 11:140 |
"Adsorption & Capillary"/Surface tension in capillaries, elliptic substitution – SM/MS/"Landen transformations". See also XII |
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| 11:141 |
"Electrostatic Adsorption"/Surface tension in capillaries – SM/"Drauglis"(no. 84)/"G. Jones" |
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11:142-11:146 Origin of life |
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| 11:142 |
Voltage clamp-ion pump – SM |
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| 11:143 |
"Early Days" |
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| 11:144 |
Conference on current flow in nerve membranes, 1971 Apr. 5-9. K.S. Cole to Onsager, 1970, Feb. 4, March 7, April 27. Onsager to D.E. Goldman, 1970, Dec. 23. L.J. Mullins, Ion flow in membranes, Science 174, 861, 1971 |
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| 11:145 |
"Neurosci: Meet & Org"/1962-63. F.O. Schmitt to Onsager, 1962, Dec. 4 |
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| 11:146 |
Short poem, in which Manfred [Eigen] and Lars [Onsager] appear |
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12:147-13:188 Mathematics |
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| 12:147 |
Notebook/MS, General integral equations for Mathieu functions"/MS, "Error in the asymptotic expansion of Bessel functions of imaginary argument"/MS, "Generalization of the Euler-Maclaurin sum formula"/TS, "Dissociation of electrolytes in strong electric fields"/MS, "Eigenwerte by numerical Integration"/MS, "Consider a dipole of electric momentµ …"/TS, "Theories of concentrated electrolytes" (Not identical with no. 12)/"Vibr. galvanometer" |
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| 12:148 |
"Kriegspiel Theory"/Chess – PAL. Bridge combinatorics |
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| 12:149 |
"Zeta Functions" |
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| 12:150 |
"F log F"/partition functions – SM |
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| 12:151 |
"Integral transformations" |
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| 12:152 |
"The exchange correlation integral" |
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| 12:153 |
f(Ho + V), /quantum mechanics; Lippman – Schwinger – SM |
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| 12:154 |
"Electron compliance"/branch cuts (complex plane) – SM |
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| 12:155 |
"Consistency"/Self-consistent field partition function? – SM |
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| 12:156 |
"B F<ermions>"/creation-destruction operator formalism – SM |
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| 12:157 |
"Fermion Interaction"/mimeo, "Many-Electron Wave Function" (no. 49) |
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| 12:158 |
Flux quantization/Group theory, one-dimensional representation – SM |
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| 12:159 |
"Elliptic [functions]" |
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| 12:160 |
"Elliptic [functions] on spheres" |
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| 12:161 |
"Toeplitz determinants, 1940s?" – SM/ I.I. Hirschman, Jr. to Onsager 1964, Feb. 11. Onsager to Hirschmann, 1964. I.I. Hirschman, Jr.: "On a theorem of Szegö, Kac and Baker". |
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| 12:162 |
TS, "Note on the product expansion of Theta functions"/TS, "The distribution of energy in Turbulence" (no. 25)/ MS," "Asymptotic formula forf0 (x, y)"/MS, "Relaxation Matrices" |
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| 12:163 |
"Info[rmation] cascade"/canonical distribution with two-body forces; combinatorics;ò f log f-SM |
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| 12:164 |
"Multiple Electron Scattering" |
| |
|
| 12:165 |
Notebook/eigenvalue problems (related to no. 15) – SM/eigenvalue problem by continued fractions – SM/Mathieu functions of index ½ – SM/"Two-dimensional Green function" |
| |
|
| 12:166 |
"Reflex. Waves" |
| |
|
| 12:167 |
"Milne Problem (2 dim). Example of [infinite] scattering |
| |
|
| 12:168 |
"Spectroscopy. Information and article abstract"/"Literature review, by whom?" – PAL/"Slater’s directed bonding theory"/"electron configuration of CH2 |
| |
|
| 12:169 |
"Bounds for |F’1/F|"/f"(x)=p(x)f(x) |
| |
|
| 12:170 |
"Fragment re waves"/wave equation with absorption – SM |
| |
|
| 12:171 |
"Waves"/Jeans/MS, "A. Conditions of existence. Let a physical phenomenon be described by a wave of amplitude u(x,t) propagating in the x direction… B. Condition of reality… C. Condition of causation… D. Definition ofó (í ) for complexí … E. Interpretation of ó (í )… F. Investigation ofó (µ )…" |
| |
|
| 12:172 |
"Lagrange interpolation – Multiple points"/MS, "Given function f(z) analytic in domain. Approximate by polynomial p(z) such that p(z)=f(z); z=x1, .. x n |
| |
|
| 12:173 |
"Spheroidal Harmonics" |
| |
|
| 12:174 |
"Population [dynamics"]?/y1+ y2+ y3=p; y1 y2 + y2 y3 + y3 y1=g; y, y2y3=r |
| |
|
| 13:175 |
"Orthogonal Op[erator]s" |
| |
|
| 13:176 |
"Yang" |
| |
|
| 13:177 |
"Elliptic"/contour integration – SM |
| |
|
| 13:178 |
"J (d )"/J3 ( 2 |t )=(-it )– 1/2 exp (z2/ð it )J3 (-2/t | – 1/t ) |
| |
|
| 13:179 |
"ses=á " |
| |
|
| 13:180 |
"Ä¥ " (infinite determinants) |
| |
|
| 13:181 |
"Toeplitz matrices". S. Sherman to Onsager, 1964, Jan 29. G. Baxter to Onsager 1964, Jan. 29 |
| |
|
| 13:182 |
"Kubo + heat exch[an]ge functionx (x; y)"/MS |
| |
|
| 13:183 |
"Serpentine"/antigorite, chrysotile/"L.O. wanted to use it for superleaks for liquid He" – SM/memo, "The Structure of chrysotile asbestos", 1953, July 13. A. Knopf to Onsager 1950, Nov. 4. |
| |
|
| 13:184 |
"S.C. Green’s functions"/Singularities of Joyce’s f.c.c. solution". G.S. Joyce "Lattice Green function or the anisotropic fcc lattice" J. Phys. C. 1971, vol. 4, L53 |
| |
|
| 13:185 |
Elliptic functions |
| |
|
| 13:186 |
"I3"/contour integrations; body-centred cubic; errors in lifetime computations – SM |
| |
|
| 13:187 |
Unidentified |
| |
|
| 13:188 |
"Asymptotic expansions of Whittaker functions"/MS, "Improved asymptotic expansions" |
| |
|
13:189 Colloids |
|
| |
|
| 13:189 |
"Tactoids", related to [24] and [31]. Verwey to Onsager 1948, April 19. Oster to Onsager 1948, June 30. |
| |
|
13:190-14:228 Unclassified |
|
| See also XII |
|
| |
|
| 13:190 |
Membranes. H2PO4 - rotation/c. 1963-72? |
| |
|
| 13:191 |
"Wood porosity" |
| |
|
| 13:192 |
Unidentified |
| |
|
| 13:193 |
H.L. Friedman, "Charge – asymmetric mixtures of electrolytes…" and other reprints. Hypergeometric functions? |
| |
|
| 13:194 |
Unidentified/M. Brown and E.G. Murphy, "Measurements of the self-diffusion coefficient of uranium hexafluoride" |
| |
|
| 13:195 |
Unidentified |
| |
|
| 13:196 |
Conference on "Basic Mechanisms in Radiobiology" at Brookhaven National Laboratory, 1953 May 7-9/MS, "For that matter, recent kinetic studies have revealed (Eigen, 1967) that replacements in the innermost shell of solvent molecules… around a cation may be fairly infrequent…". Jim? to J. Stuvtevant 1955, May 20 |
| |
|
| 13:197 |
C. Jaccard, "Thermodynamics of irreversible processes applied to ice", Physik der kondensierten Materie 3, 99-118 (1964) |
| |
|
| 13:198 |
Unidentified, 1976 post-Apr 15 |
| |
|
| 13:199 |
An integral, with magazine (The Sciences) dated 1975 Dec |
| |
|
| 13:200 |
Unidentified, post-1970 Jan 30 |
| |
|
| 13:201 |
A contour integral |
| |
|
| 13:202 |
Vector calculus formulae/1974? |
| |
|
| 14:203 |
"Image force"/1973? Unidentified |
| |
|
| 14:204 |
"Protons, Miscell."/A. Draegert |
| |
|
| 14:205 |
Electrolytes |
| |
|
| 14:206 |
Integral, 1976 |
| |
|
| 14:207 |
Electrolytes ?, 1972? |
| |
|
| 14:208 |
Unidentified/1976 |
| |
|
| 14:209 |
Chemical structures/post-1972? |
| |
|
| 14:210 |
Unidentified, 1976? |
| |
|
| 14:211 |
Electrolytes?, 1976 |
| |
|
| 14:212 |
D2O conductivities |
| |
|
| 14:213 |
Cayley tree? |
| |
|
| 14:214 |
"Computations" |
| |
|
| 14:215 |
Ising model, unidentified |
| |
|
| 14:216 |
Unidentified |
| |
|
| 14:217 |
Unidentified transparencies/Humbel, Jona?>, Scherra – 1953/Auly & Cole – 1952 |
| |
|
| 14:218 |
Unidentified |
| |
|
| 14:219 |
Figures Ising model and de Haas–van Alphen effect. Unidentified |
| |
|
| 14:220 |
I. Kirschner to Onsager, 1969, July 7. J. Straley, "Liquid crystals in two dimensions", 1971. J.A. Sussmann, "A comprehensive quantum theory of diffusion" |
| |
|
| 14:221 |
Ion mobility. Hypergeometric functions |
| |
|
| 14:222 |
"H3IO6 – SM |
| |
|
| 14:223 |
Unidentified |
| |
|
| 14:224 |
Rotating Bose gas. Hankel transform, plus unidentified/1951, 1954 |
| |
|
| 14:225 |
Unidentified/J.L. Lebowitz and E.H. Lieb, "Existence of thermodynamics for real matter with Coulomb forces", Phys. Rev. Lett. 22, 631 (1969) |
| |
|
| 14:226 |
Data for CoCl2 in acetone. Figures for no. 31, no. 40 and other publications |
| |
|
| 14:227 |
Figures re thermoelectric potential in ice |
