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Projected Hartree Product Wavefunctions. V. Density Matrices And Operators Containing Spin, Gordon A. Gallup

Gordon Gallup Publications

Formulas are given to allow the calculation of the various spin components of the first-order density and transition density matrices from one spatial component of a pure spin-state wavefunction and certain reduced operators. Similar expressions are given for the second-order density for singlet and doublet systems. These results are useful for the calculation of matrix elements of operators containing the spin. ©1970 American Institute of Physics

Projected Hartree Product Wavefunctions. Iv. Radial Correlation In Some Three- And Four-Electron Atoms, L.G. Heikes, Gordon A. Gallup

Gordon Gallup Publications

The energies of some three- and four-electron atoms including radial correlation have been determined by a spin-free version of the projected Hartree–Fock method. The wavefunction possesses the maximum flexibility allowable under the general restrictions of the method, and it is shown that this flexibility is necessary to adequately account for the differences between intra- and intershell correlation. Some comments on the AMO method are included. ©1970 American Institute of Physics

Measurement Of Cyclohexane Ultrasonic Velocity Using Photon-Phonon Scattering Interactions, Edward W. Taylor Jr.

Physics & Astronomy ETDs

The construction of a frequency modulated optic cell and its operation for studying the ultrasonic velocities of cyclohexane, acetone and ethyl alcohol as a function of temperature is described. A description of photon-phonon scattering interactions is presented. The appearance of the intensity distribution of the scattered light is treated, and an analysis of the experimental results is included. The special scattering case of Bragg diffraction of coherent light was used for determining the ultrasonic velocities of cyclohexane as a function of temperature. Ramifications of the Raman-Nath and Bragg diffraction effects are discussed. The relationship v_T = 1376.78 - 5.25 …

On The Relation Between Hard-Core And Velocity-Dependent Potentials: An Application To The Photonuclear Sum Rules, Paul Finkler, H. S. Valk

Paul Finkler Papers

A canonical transformation relating hard-core and velocity-dependent nucleonnucleon potentials is applied to the Srivastava potential and an equivalent hard-core potential is found. It is shown that the deuteron photonuclear electric-dipole integrated and bremsstrahlung-weighted cross sections resulting from the two equivalent potentials are essentially the same. The reasons for this agreement suggest that differences between the two sets of cross sections may remain small in other nuclei employing this type of potential.

Response Of Nuclear Emulsion To Electron Beams, Robert Katz, E. J. Kobetich

Robert Katz Publications

A recent theory of particle tracks assumes that the probability P for grain development in nuclear emulsion depends on the local dose E of ionization energy deposited by secondary electrons (delta rays) in the neighborhood of the particle track. The response is assumed to be one of exponential survival; that is, if E₀ is the dose for 37% survival, then P = 1 – exp (-E/E₀). By calculation of the dose E(t) deposited at depth t in the emulsion by normally incident, monoenergetic electron beams, and applying the assumed dose-effect relationship, …

Rbe, Let, And Z/ΒΑ, Robert Katz

Robert Katz Publications

A call has been issued by Turner and Hollister in this journal for nomination of a suitable combination of charge and velocity to replace LET. It is the purpose of this communication to point out that no single combination of these variables can fully characterize track effects, as these are affected by the ratio of the range r_m of the delta ray of maximum energy to the radius a₀ of the sensitive volume.

Electrical Conductivity In Nh4Cl And Nd4Cl Single Crystals, Robert Fuller, F.W. Patten

Robert G. Fuller Publications

Electrical conductivity measurements are reported for normal and deuterated ammonium chloride single crystals in the temperature regions which characterize the pure and the impurity-dominated materials. We conclude from the data that conductivity in ammonium chloride is due to the formation of either cation or anion vacancies and a subsequent process controlled by a proton transfer. Our results are found to be consistent with a model proposed by Herrington and Staveley.

Formation Of Particle Tracks, Robert Katz, E. J. Kobetich

Robert Katz Publications

The formation of particle tracks, and such phenomena as the detection of charged particles and the damage produced by charged particles, are intimately related to the spatial distribution of ionization energy deposited by δ-rays. Changes in the spectrum of δ-rays with the velocity of the primary particle imply that linear measures of the interaction of the primary particle with the medium, such as specific energy loss, or primary ionization, are unsatisfactory measures of effects produced in the medium, for they contain no knowledge of the spatial deposition of the lost energy.

Optical Phenomena In Diatoms, Richard B. Hoover, Miriam J. Hoover

Journal of the Arkansas Academy of Science

Diatoms are unicellular algae which fabricate siliceous shells that are frequently marked with intricate ornamentations and patterns. The nature and characteristics of the siliceous shells provide a basis for diatom taxonomy and give rise to a number of interesting and colorful optical phenomena. This paper presents the results of investigations of diffraction phenomena, complementary color behavior, Rayleigh scattering and optical activity in diatoms.

Radiative Lifetime Of The A¹Π State And The Transition Moment Variation Of The Fourth Positive Band System Of Carbon Monoxide, Joseph George Chervenak

Doctoral Dissertations

"The lifetime of the A¹π state of carbon monoxide has been measured using a pulsed invertron excitation source and delayed coincidence measurement technique on the fourth positive system. Eighteen bands, originating from the upper states v' = 0 to 5, were examined at pressures between 500 and 50 microns, with no pressure dependence noted. The data were corrected for photon "pile up" and least-squares fitted to the sum of two exponentials. The transition moment was found to vary and was expanded about the r-centroid of the v' = 0 to v" = 0 transition. Oscillator strengths are calculated and compared …

A Quasi-Lattice Model Of Simple Liquids, Jesse Herbert Collins

Doctoral Dissertations

"A cellular model of simple liquids is proposed which eliminates the objectionable feature of long range order found in other cell models. The volume is divided into N identical spherically symmetric cells, each occupied by one molecule. The cell-center density distribution relative to an average given cell center forms a series of Gaussian peaks whose width is proportional to the square root of the distance from the given cell center. The number of cell centers and average radial distance represented by each of the peaks correspond to a face-centered cubic lattice. The molecular pair distribution function is determined for several …

A Study Of Far Infrared Grid Filters, Harold Victor Romero

Doctoral Dissertations

"The diffraction theory for the transmission of electromagnetic fields through a grid in a dielectric is derived and experimentally checked in the visible wavelength region. In the far infrared, an approximate mathematical representation is found to describe the grids in dielectrics. The empirical equations in the far infrared are combined with the electrical circuit-transmission line analog for inductive grids. Detailed structure of the transmittance versus wave number curves are presented. Then the theory of multielement grid filters is derived and compared with experiment. The properties of the filters can be predicted from a knowledge of the characteristics of the individual …

Absolute Excitation Cross Sections Of He⁺ In 20-100 Kev He⁺-He Collisions Using Energy-Loss Spectrometry, Donald Roy Schoonover

Doctoral Dissertations

"Application of positive-ion energy-loss spectrometry has been extended to include experimental determination of absolute excitation cross sections of ground state helium ions. Helium ion-atom collisions were studied for impact energies ranging between 20-100 keV, in 10 keV intervals. The data were taken with an apparatus resolution between 0.6-o.8 eV FWHM. Cross sections for transitions from ground state to the second and third principal quantum levels of the ion plotted as a function of impact energy were still rapidly increasing at 100 keV. The cross sections at this energy were 1.64(± 0.28) x 10⁻¹⁸cm² for He⁺(l²s_1/2) -> He⁺(n = …

Investigation Into The Monotonic Magnetostriction And Magnetic Breakdown In Cadmium, James Milo Carter

Doctoral Dissertations

"Observations of the monotonic magnetostriction of cadmium at 4.2 K and in fields of 65 kilogauss have been made. The angular dependence of an extremal point (H_m) in the monotonic magnetostriction is found to follow inverse cosine behavior. The magnitude of H_m (27 kG) for fields parallel to [0001] is in fair agreement with the onset of γ_1/3 from the breakdown of the trifoliate orbit, γ. The range of observation of h_m coincides with the reported range of the trifoliate orbit. A "klink" in the monotonic magnetostriction is demonstrated. The "klink" field, H_k, …

The Surface Effects Of Alkali Halides In The Infrared, Vincent Joseph Llamas

Doctoral Dissertations

"The surface state extension of the shallow donor theory is reviewed. The surface state theory and its applications to F-centers of alkali halides is presented. Experimental infrared data show an absorption which seems to correspond with the ground state to first excited state transition. Surface state concentrations of F-centers as a function of depth into the crystal are given. The ratio of surface to bulk cross sections in KBr and experimental calculations of effective masses in various alkali halides are in excellent agreement with theory. The theoretical cross sections are derived from transition probabilities. However, lack of excited states, the …

Theory Of Shallow Donor Impurity Surface States, Vidal Emmanuel Godwin

Doctoral Dissertations

"A variational approach has been used to solve the effective-mass equation, when the impurity ion is located at a depth d from the surface of a semiconductor, where 0 < d < d_b and d_b represents the case when the impurity ion is in the bulk of the semiconductor. The ground state and the excited state having the largest electric dipole coupling to the ground state have been determined. We have plotted the energy dependence on the depth of the impurity ion from the surface of the semiconductor. The energy has also been calculated as a function of the orientation of the …

On The Physical Properties Associated With Omega Phase In Titanium-Chromium Alloys, Serag El Din El Sayed Habib

Archived Theses and Dissertations

No abstract provided.

(02) The Papers Of Robert H. Goddard, Volume I: [1927 And 1933: Material For An Autobiography], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section contains material for an autobiography written by Robert Goddard in 1927 with interpolations in 1933.

Disclaimer: The images in these scans have been rendered somewhat distorted after the fact. We apologize for this error. Thankfully, most of the photographs used in these …

(06) The Papers Of Robert H. Goddard, Volume I: 1898-1924 [1921-1924: Beginnings Of Experimentation With Liquid Propellants], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers Robert Goddard's life from 1921 through 1924. During this time, Goddard began his experimentation with liquid propellants for rockets, became a part-time consultant on solid-propellant rocket weapons for the U.S government, began a twenty-year tenure as Director of Physical Laboratories at …

(04) The Papers Of Robert H. Goddard, Volume I: 1898-1924 [1898-1914: Speculation And Preparation], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers Robert Goddard's life from age sixteen through thirty-two. It contains diary entries, correspondence, school themes, entries from his green notebooks (used for calculations), a graduation oration, published articles,

This section contains the following articles:
"The Use of the Gyroscope in the Balancing and …

(03) The Papers Of Robert H. Goddard, Volume I: 1898-1924 [1921: Autobiographical Statement], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section is a brief Autobiographical Statement written by Robert Goddard in 1921. It was presumed to have been written for the Inventors Bulletin, but it is now known whether the statement was ever published.

Disclaimer: The images in these scans have been rendered …

(10) The Papers Of Robert H. Goddard, Volume Ii: 1925-1937 [1932-1934: Interlude At Clark University], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers a brief period in Robert Goddard's life, from mid 1932 to mid 1934, between his two grant funded periods (1930-1932, 1934-1942) for rocket research in Roswell, New Mexico. During this time, he continued to teach at Clark University and conduct research …

(09) The Papers Of Robert H. Goddard, Volume Ii: 1925-1937 [1930-1932: The First New Mexico Adventure], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers Robert Goddard's life from mid 1930 to mid 1932 when Goddard received his first Guggenheim grant (this one from Daniel) which would bring Robert and Esther to Roswell, New Mexico for two years of rocket research. They would soon relocate to …

(13) The Papers Of Robert H. Goddard, Volume Iii: 1938-1945 [1938-1941: Rockets With Turbopumps], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers 1938 to 1942. During this period, Goddard begins to develop turbine-driven pumps for liquid propellant rockets and conducts a series of flight tests with pump-driven rockets.

This section contains correspondence by, to, and about Robert H. Goddard from the following people and entities: …

(05) The Papers Of Robert H. Goddard, Volume I: 1898-1924 [1915-1920: Experimentation With Solid Propellants], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers Robert Goddard's life from 1915 through 1920. During this time, he became an Assistant Professor in Physics at Clark University, demonstrated that reaction takes place in a vacuum, hence a rocket could function in airless space, received his first Smithsonian grant …

(08) The Papers Of Robert H. Goddard, Volume Ii: 1925-1937 [1925-1930: Liquid-Propellant Rockets Fly], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers Robert Goddard's life from 1925 through the middle of 1930. During this time, Goddard achieved his greatest success on March 16, 1926, with the first ever flight of a liquid-propellant rocket. This period also saw a 1929 flight that attracted a …

(01) The Papers Of Robert H. Goddard, Volume 1: 1898-1924 [Forward, Introduction], Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section contains a forward by G. Edward Pendray and an introduction by Esther C. Goddard.

Disclaimer: The images in these scans have been rendered somewhat distorted after the fact. We apologize for this error. Thankfully, most of the photographs used in these papers …

(14) The Papers Of Robert H. Goddard, Volume Iii: 1938-1945 [1941-1945: Jato And Variable Thrust For The Military], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers the final years of Robert Goddard's life, from 1941 to 1945. During this time, he became the Director of Research for the Bureau of Aeronautics, Navy Department, at Annapolis, Maryland, developing variable-thrust rocket motor later used on Bell X-2 rocket plane. He also …

(11) The Papers Of Robert H. Goddard, Volume Ii: 1925-1937 [1934-1937: Return To New Mexico; Pressure-Tank Rockets], Robert H. Goddard, Esther C. Goddard, G. Edward Pendray

The Papers of Robert H. Goddard

Meticulously curated and edited by Esther C. Goddard and G. Edward Pendray, The Papers of Robert H. Goddard is a 1700-page 3 volume set published in 1970. The set presents a careful and exhaustive chronological presentation of Robert Goddard’s life through diary snippets, notebook entries, correspondence, publications, speeches, patent outlines, school papers, press, reports and more.

This section covers Robert Goddard's life from mid-1934 through 1937. During this time, Robert and Esther Goddard began their second stint in Roswell, New Mexico for Guggenheim funded rocket research (the first was 1930 to 1932). This one would last from 1934 to 1942. …

Excitation Of Hydrogen Atoms By Fast Protons, Edward Ellis Fitchard

Physics Theses & Dissertations

In this thesis a theoretical study is made of excitation of hydrogenic atom by charged particles such as protons or electrons. The approximation to the cross section for an inelastic scattering process is obtained under the following radically simplifying assumptions. The projectile is represented in its initial and final state by plane waves. All distortions are neglected whether they originate in an inelastic process or an elastic deflections of the charged particle by the nucleus. The perturbation of the atomic orbits between which the projectile induces transitions is neglected. Nonrelativistic hydrogenic wave functions are used for the electronic states. In …