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   Lars Onsager   

The Lars Onsager

Online archive

Selected research material and writings


Norwegian University of Science and Technology
NTNU University Library


Dielectrics
Electrolytes
Ice
Irreversible Processes
Thermal Diffusion
Ising model
Metals and semiconductors
Liquid Helium
Hydrodynamics
Surface tension
Origin of life
Mathematics
Unclassified
Writings

5:1-7 Dielectrics

5:1  Dielectric constant of hydrogen fluoride; 1972? SM

5:2  "Lattices, numerical"/TS/"electrets"/"Potential of plane lattice with charges [and] dipoles"

5:3  "[face]-c[entered] c[ubic] structure: elastic spectrum"

5:4  "Reaction field, DK"/polymers, infinite chain SM

5:5  "Dipoles: Green's theorem"/probably background information for theory of liquid dielectric constants PAL

5:6  "Seignette-electrics below Curie Point"

5:7  Ice-like seignette-electrics"/Curie point - NO" SM

5:8-7:58 Electrolytes

5:8  Wien effect, 1971 SM/MS fragment/ "nothing new a historical review, then takeoff on electrons in liquid helium" AP

5:9  Unidentified/"Wien effect, active transport, end 1969?"- SM/1971

5:10  "Random coil"/electrostatics of polyelectrolyte chain PAL

5:11  "Electrode polarization"

5:12  "Self-avoiding chain"/1

5:13  "Self-avoiding chain"/2/ Related to 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)

5:14  "Electrophoresis 'exact'/has historical interest; part was published in Onsager and Fuoss, "The conductance of symmetrical electrolytes. III. Electrophoresis" (no. 60) RMF

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", "?n" and unlabelled RMF. "Debye-Huckel Prediction of Phase Separation in ionized Gas Mixtures"/MS

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

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

5:18  "Poisson-Boltzmann"

5:19  "Recombination> Relaxation"/The ideas entered largely into his Wien effect papers. AP

5:20  "Recomb[ination] Rela[xation]"/"these ideas entered into his Wien effect papers. AP. Langevin diffusion. SM

5:21  "'Polarization' in Wien effects cells/ "Estimates of relaxation times, apparently" AP

5:22  "Freezing potentials"/ Poisson equation? SM

5:23  "Relax[ation] - Electrophoresis/1968

5:24  "Water Relaxation"/"Force on oscillating sphere"/ "Wyman" /Lamb, p. 633+"

5:25  "Problems"/diffusion in electrolytes SM/"Thoughts, no obvious conclusions" AP

5:26  "Wien effect, strong electrolytes"/TL, Onsager to Eckstrom, 1938, June 18

5:27  "Bijl"/kinetic theory SM/"Momentum quantized in resting frame of reference"

5:28  "Cataphoresis"

5:29  "Dissociation constants and sundry"/ "The variation of ionic mobilities with the field for HCl and for HAc at 25o"

5:30  "Ionic at[mosphere]s, 2 [frequencies]

5:31  "Data"/ "CoCl2 in Acetone"/Gemant, liquid dielectrics (1933)

5:32  "Data on conduction in strong fields"/Gemant, p. 89/ H. Schiller, Ann. Physik [4], 81, 32 (1926)

5:33  "Velocities in ion pairs/ Wien effect RMF

5:34  "DK of Gemant's benzene solutions"/ "Preliminary calculations on theory of relaxation field in dielectrics published about 1934?" RMF/ "Falkenhagen theory"

5:35  Electrolytes? SM/1973-74

6:36  "Electrolytes"/"The Relaxation effects in mixed strong electrolytes" (no. [45])18/MS, "Transport processes in strong electrolytes", 1973? SM/"A correction to the Poisson-Boltzmann equation for unsymmetrical electrolytes" (no. [63]).

6:37  "Auxiliary to dev[iation from] Ohm law"/ Gemant, pp. 78-79/"Acetone"

6:38  "Diffusion of electrophoretic boundary"

6:39  "[Joseph F.] Malerba"/ freezing potential/ Malerba MS/ALS (copy), Joseph Hubbard to Onsager, 1976 June 25. Gross et al. (preprints). Onsager to J.F. Malerba, 1973, Nov. 8.

6:40  "Freezing potentials"/ "His interest was protonic jumping in ice" AP/1962. A. Patterson, Jr.: Some measurements of freezing potential" /TS

6:41  Electrical properties of doped ice

6:42  Electrolytes, 1974?

6:44  Strong electrolytes. Note "The Conductivity of Strong Electrolytes at Finite Dilution"

6:45  Onsager and A.M. Stewart: Asymptotic forms for luminescent intensity due to donor-acceptor pair recombination. TS for [87].

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

6:47  Related to Kallenbach, Neville R.: The microviscosity of electric solutions. Yale Ph. D., 1961)

6:48  Unidentified. 1973?

6:49   Unidentified/MS, "Kinetic depolarization of solvents by ion migration"/partial MS[88].

7:50  Unidentified/1973?

7:51  "Mostly electrolytes, etc." TS

7:52  "Mostly electrolytes, etc." JN (2)/MS, "The dielectric dispersion of electrolyte solutions"

7:53  "Mostly electrolytes, etc." JN (3)/MS "Reduction of dielectric polarization by the migration of ions. Onsager to Isihara 1974, Dec. 23 (draft)

7:54  "Mostly electrolytes, etc." JN (4)

7:55  Unidentified /MS/ Malerba, Joseph: "Theoretical investigations of the freezing potential phenomenon. Yale Ph. D., 1976/MS, "Freezing Potentials"

7:56  "Conductance"? SM

7:57  Joseph B. Hubbard: Dielectric dispersion and mobility of ions…" /MS. See also XII

7:58  "Electrode Effects": notes …, 1976? SM

7:59-8:74 Ice

7:59  "C log C"/ Ice, Bjerrum fault, ion transport in crystals SM

7:61  "Ice, etc."/Temperature coefficients of dielectric constant SM/ MS Fragment, "Chain association in polar liquids/ Related to Montroll, Elliot W.: "Statistical Mechanics of Nearest Neighbor Systems"

7:62  "Ice, Miscell." /number of chains of at least two molecules SM

7:63  "KH2 PO4 dipoles ice"

7:64  "Div[ergence] clusters"

7:65  "Protonics"/ notes for talk

8:66  "Ice"/"Dihedral subgroup"/1959

8:67  "H+ Motion"/TS abstract, "Ion motion and dielectric relaxation"/ "Dr. R.S Freund, Bell Telephone Labs"

8:68  "Proton migration on Bethe lattice"; calculations only SM

8:69  Drost-Hansen, W. Proposal for "Studies of amorphous ice", 1974

8:70  Minagawa, Isao, "A Theory of the mobility of (H3O) + Defects in ice crystals"

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

8:73   "Ice"

8:74  Related to Nagle, J.F. Dielectric constant of ice. J. Chem. Phys. 61, 883-88 (1974)

8:76-9:93 Thermal Diffusion

8:76  "[Helium] Therm[al] diffusion"/ 3He 4He isotope separation SM

8:77  "Thermal diffusion"

8:78  "Isotopes by Soret Effect"

8:79  "[Helium] + Ne[on]"

8:80  "Transient Phenomena in diffusion column"

9:81  "Separation of isotopes by thermal diffusion"/TS, "On the theory of isotope separation by thermal diffusion (no. 19). Onsager-Furry correspondence, 1939, March-May (10 letters)

9:82  "Entropy efficiency"/ "thermal diffusion"/ ordinary diffusion SM/ Efficiency of isotope separation SM

9:83  "H2 by migration"/ "Mobilities of H1 and H2 at 0o. Conductance of HCl at 0o "/TS, "Flow due to diffusion"

9:84  "O2 + e-"/"O2 electron transport"

9:85  "Dissipation"/ Gas transport in the centrifuge SM/ Entropy source density SM

9:86  "V[an] d[er] Waals-Collision"

9:87  "Fringe Method"/ Re: Onsager and L.J. Gosting, "General Theory for the Gouy Diffusion Method" (no. 36)

9:88  "Collisions in gases"/kinetic theory, collision integral SM

9:89  "Gas Theory"

9:90  "Clouds"/ "Supersaturation factor, equilibrium rate of evap[oration]"

9:91  "Zeeman effect of free paths"

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

9:93  "Separation of isotopes by thermal [diffusion]" (no. 19)

9:94-10:104 Ising model

9:94  "(C[rystal] st[atistics]. I) Ising model. Temperley's method. Star-triangle transformation

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

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

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"

9:98  "Crystal pseudo potentials"

9:99  "Lattices, formals"/numerical computations

9:100  "Neighborhood in polymer"/Berlin and Montroll, J. Chem. Phys. (1952 Jan)

10:101  "Rectangular lattice II-V"/TS, We first define the two sets of operators… " /"Wannier transformation"/TS, "Bloch-type operators and characteristic vectors"

10:102  "Bloch-type operators" SM

10:103  Related to 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)

10:104  "Lecture notes"/?-transitions"/resistivity SM

10:105-10:108 Metals and semiconductors

10:105  "Low t[emperature] sp[ecific] heat: crystals"/R.M. Mazo to Onsager, 1959 Oct 8

10:106  "Sp[ecific] heat of crystals at low temp[erature]s

10:107  "de Haas-van Alphen effect"/re: "Interpretation of the de Haas-van Alphen effect,"Phil. Mag., 43, 1006 (1951) (no. 35)

10:109-10:122 Liquid Helium

10:109  "(Stevens) He lecture"/"Bogoliubov"/"roton. Related to Feynman & Cohen. Frölich &Kuper"/proof, "Helium II" (no. 62)

10:110  "He Film"

10:111  "He: ¼ h?"/MS, "1), Gradual consumption of detergent> indicates> that same coats fibres…"

10:112  "Liq[uid] He[lium]"/Quantization of sound"

10:113  "He: Surface Tension"

10:114  "He II (mostly Landau)"/"Heat flow relative to matter"

10:115  "He DK". Expansion of He

10:116  "Low Temps"/1946

10:118  "He[lium]-order for t[emperature] &gt0"/Second-quantized - SM

10:119  "e- in He"/ Related to Kuper, Phys. Rev., 122, 1007 (1967)/Atkins, Phys. Rev. 116, 1339 (1959)

10:120  "He rotation, etc."/monolamellar; bilamellar; rotons, vortex rings SM/Bogoliubov and Zubarev, J. Exper. Theor. Phys. 28, 129-39 (1955)

10:121  He: quantum of circulation SM

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

11:123-11:135 Hydrodynamics

11:123  "Ion-vortex interaction"/also re electrolytes SM

11:124  "Electromechanical oscillations"

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 of f over directions. Numerical calculations." Onsager to Dr. Eisenstein (draft in German)

11:126  "Jeffery"

11:127  "Boundary layer"

11:129  "Hydrodynamics"/cites Taylor, Proc. Roy. Soc. (1935-38)/V. Kármán and Howarth,ibid. (1938)/J.M. Burgers (1929)/Oseen, 1931

11:130  "Boundary conditions. Flow from origin prescribed"

11:131  "BK wave, free boundary, etc."

11:132  "Turbulence"/"Hydrodynamics (Turbulence) Kinetic energy and dissipation function to sums of squares"/"Turbulent cascade"/1975? SM

11:133   MS (copy), "Detailed properties of cylindrical boundary layers"

11:134  "Hydrodynamics 1970, 1974?" SM

11:135  "Turbulence"

11:136-11:141 Surface tension

11:136  "Surface tension"/related to thesis of Nicholas Samaras ["Medium changes in homogenous catalysis and their theoretical interpretation," 1931?] RMF

11:137  "Bubble"/surface tension PAL/Energy of formation SM

11:138  "123 Gouy Layer"/surface tension PAL

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…"

11:140  "Adsorption & Capillary"/Surface tension in capillaries, elliptic substitution SM/MS/"Landen transformations". See also XII

11:141  "Electrostatic Adsorption"/Surface tension in capillaries SM/"Drauglis"(no. 84)/"G. Jones"

11:142-11:146 Origin of life

11:142  Voltage clamp-ion pump SM

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

12:147-13:188 Mathematics

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 moment µ…"/TS, "Theories of concentrated electrolytes" (Not identical with no. 12)/"Vibr. galvanometer"

12:149  "Zeta Functions"

12:150  "F log F"/partition functions SM

12:151  "Integral transformations"

12:152  "The exchange correlation integral"

12:153  f(Ho + V), /quantum mechanics; Lippman Schwinger SM

12:154  "Electron compliance"/branch cuts (complex plane) SM

2:155  "Consistency"/Self-consistent field partition function? SM

12:156  "B fermions>"/creation-destruction operator formalism SM

12:157  "Fermion Interaction"/mimeo, "Many-Electron Wave Function" (no. 49)

12:158  Flux quantization/Group theory, one-dimensional representation SM

12:159  "Elliptic [functions]"

12:160   "Elliptic [functions] on spheres"

12:161  "Toeplitz determinants, 1940s?" SM/ I.I. Hirschman, Jr. to Onsager 1964, Feb. 11. Onsager to Hirschmann, 1964.

12:162  TS, "Note on the product expansion of Theta functions"/TS, "The distribution of energy in Turbulence" (no. 25)/ MS," "Asymptotic formula for f0 (x, y)"/MS, "Relaxation Matrices"

12:163  "Info[rmation] cascade"/canonical distribution with two-body forces; combinatorics; òf log f-SM

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 of s (?) for complex ?… E. Interpretation of s (?)… F. Investigation of s (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, .. xn

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"

13:178  "J (d)"/J3 ( 2 | t) = (-it) 1/2 exp (z2/p it) J3 (-2/t | 1/t)

13:179  "ses=a"

13:180  "?¥" (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 function x (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". Related to 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

13:188 / 13:189  "Asymptotic expansions of Whittaker functions"/MS, "Improved asymptotic expansions", "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?

13:192  Unidentified

13:193  H.L. Friedman, "Charge asymmetric mixtures of electrolytes…" and other reprints. Hypergeometric functions?

14:203  "Image force"/1973? Unidentified

14:204  "Protons, Miscell."/A. Draegert

14:205  Electrolytes

14:211  Electrolytes?, 1976

14:213  Cayley tree?

14:214  "Computations"

14:215  Ising model, unidentified

14:217  Unidentified transparencies/Humbel, Jona?>, Scherra 1953/Auly & Cole 1952

14:219  Figures Ising model and de Haasvan Alphen effect. Unidentified

14:220 Related to 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

17:120 Writings

17:120  "The theory of the Wien effect for binary electrolytes" (with William S.Wilson)/TS, (unpublished) c. 1936

17:121  "Crystal statistics. IV. Long-range order in a binary crystal". (With B. Kaufman)/TS, (copy), (unpublished), Onsager to Kaufman, 1950 Apr. 12

17:129  "Lecture on protonic semiconductors", Center for Theoretical Studies, University of Miami, CTS-LN-68-2, 1968

 
 

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).

You will only find digital content on this page. The physical archive is located at Dora Library.



Complete index of the Onsager Archive - including non-digitised materials

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