Note on Frequency Spectrum of Crystalline Fine Particles
スポンサーリンク
概要
- 論文の詳細を見る
Frequency distribution of lattice vebration in crystalline fine particles is calculated as functions of fine particle radius by means of the moment-trace method. An FCC lattice with nearest neighbour central interaction is considered as an example and the 2n-th moment of frequency distribution is expressed as a sum over paths on the lattice connected by the dynamical matrix elements. The presence of surface gives a restriction on the sum over paths. It is shown that the frequency distribution functions constructed with the first five even moments show remarkable for the phonon softening as fine radius becomes small.
- 理論物理学刊行会の論文
- 1978-08-25
著者
-
MATSUBARA Takahiko
Department of Physics and Astronomy, The Johns Hopkins University
-
MATSUBARA Takeo
ICMT
-
Matsushita Eiko
Department Of Physics Kyoto University
-
Matsubara Takeo
Department Of Applied Physics Okayama University Of Science
関連論文
- Deciphering Cosmological Information from Redshift Surveys of High-z Objects : The Cosmological Light-Cone Effect and Redshift-Space Distortion
- A Lattice Model of Liquid Metal : Wilson-Type Transition in Divalent Metals
- A Lattice Model of Liquid Metal. II
- A Lattice Model of Liquid Metal. I
- Ferroelectric Phase Transition in Some Perovskite-Type Oxide Mixtures
- Modeling Nonlinear Evolution of Baryon Acoustic Oscillations : Convergence Regime of N-body Simulations and Analytic Models
- Large-Scale Clustering of Sloan Digital Sky Survey Quasars : Impact of the Baryon Density and the Cosmological Constant
- A Simple Model for Ferroelectrics and Antiferroelectrics with Isolated Hydrogen Bonds
- Theory of Ferroelectric Transition in K_Na_x TaO_3
- Stress Induced Ferroelectric Phase Trandition in Quantum-Paraelectrics
- Fourier Phase Analysis of SDSS Galaxies
- Three-Point Correlation Functions of SDSS Galaxies in Redshift Space : Morphology, Color, and Luminosity Dependence
- Three-Dimensional Genus Statistics of Galaxies in the SDSS Early Data Release
- Electronic State of Metal Surface with Random Distribution of Atoms
- A New Theory of Electronic State in Disordered System : Generalization of Hubbard's Alloy-Analogy and the Gutzwiller Approximation
- Gutzwiller Approximation for Antiferromagnetism in Hubbard Model
- A Comment on p-Orbital Bands and Crystal Structure
- Galaxy Structures and External Perturbations in Gravitational Lenses
- An Application of CPA to Binding Energy of Many Adatoms on Metallic Surface
- Application of the Transverse Isin Model to CsH_2PO_4 and CsD_2PO_4
- A Model of the Ferroelectric Phase Transitions in CDP and DCDP
- Lattice Models for Liquid Metals. I : Exact Solution of a One-Dimensional Model : Condensed Matter and Statistical Physics
- On the Anomalous Behavior of the Coersive Field of Dirty KDP Crystals
- Theory of Ferroelectric Phase Transition in AgNa (NO_2)_2
- Self-Consistent Approach to Localisation and the Anderson Transition : Condensed Matter and Statistical Physics
- Note on Vibrations of a Chain with Glass-Like Disordor
- Phenomenological Theory of Successive Phase Transitions in Mixed Perovskite-Type Oxides
- Carrier-Concentration Dependence of the Phase Transition in SnTe
- Note on Temperature Dependence of Debye-Waller Factor in a Unified Model of Ferroelectrics
- Self-Consistency in the Quasi-Chemical Equilibrium Theory of Superconductivity
- Note on the Crystal Structure of NaNO_2
- Photon Dynamics in Peierls Systems
- Note on Critical Exponents for Sinusoidal Spin Arrangements
- Vibrations of a Chain with Glass-Like Disorder
- A Theory of Tetragonal-Tetragonal Transition in A-15 Pseudobinary Alloy Nb_3Sn_Sb_x
- Theory of the Urbach-Martienssen Rule for Mixed Crystals : Application of CPA
- Theory of the Urbach-Martienssen Rule for Mixed Crystals
- Phase Transition of (NH_4)_2SO_4-K_2SO_4 Mixed Crystal
- Effects of Smoothing Functions in Cosmological Counts-in-Cells Analysis
- A Green Function Approach to a Uniaxial Ferromagnet
- Self-Consistent Einstein Model and Theory of Anharmonic Surface Vibration. I : One-Dimensional Model
- Quantum Paraelectricity and Anisotropic Polarization Fluctuations
- Note on Cumulant Average Used in Random Lattice Problem
- Note on Electronic State of Random Lattice. II
- Note on Electronic State of Random Lattice. III
- Theory of λ-Transition in Solid Hydrogen
- Reply to Comment by Schmidt
- Theory of Dielectric Susceptibility of RDP-ADP Mixed Crystals
- Note on Isotope Effect in Hydrogen Bonded Crystals
- The Role of Hydrogen Bonds in Antiferroelectricity of NH_4H_2PO_4
- Contribution to the Theory of Impurity Band Conduction. II. : Hall Effect
- A Theoretical Approach to the Electronic Structure of Terahedrally-Bonded Amorphous Solids
- Effects of Fermi Surface Nesting on Magnetic Instability in Magnetic Superconductors
- Theory of Phase Transition in Squaric Acid
- Theory of Gap States in a-Si and a-Si:H I.Rigorous Energy Bounds for Dangling Bond States
- A Note on a Distribution of Relaxation Time in Ferroelectrics near the Curie Temperature
- A Simple Modil of Hydrogenation in Tetrahedrally Bonded Disordered Semiconductors
- Theory of Ferroelectric Phase Transition in KH_2PO_4 Type Crystals. I
- Relaxation Process in Ferroelectrics near the Curie Temperature
- Theory of Sinusoidal Antiferroelectricity in Thiourea
- Lattice Dynamical Theory of Sinusoidal Antiferroelectricity in Thiourea
- Phenomenological Theory of Phase Transition in Beta-Eucryptite
- Theory of Gap States in a-Si and a-Si:H.II.Rigorous Energy Bounds for Hydrogenated Bond States
- Theory of Anharmonic Lattice Vibration in Metallic Fine Particles. II : Application to Mossbauer Spectroscopy
- Dipole Glass in Hydrogen-Bonded Mixed Crystals : II. LOW TEMPERATURE PROPERTIES OF SOLIDS : Magnetism : Spin Glass
- A Method of Treating the Zero-point Vibration of the Crystal of Lighter Molecules
- Optimized Bond Orbital Model for III-VI Compounds
- Theory of Anharmonic Lattice Vibration in Metallic Fine Particles. I
- Lattice Distortion and p-Orbital Bands
- Theory of Impurity Band Conduction in Semiconductors : An Approach to Random Lattice Problem
- 10)Theory of Dirty Ferroelectrics
- Spin Density Wave and Superconductivity in Highly Anisotropic Materials. II. : Detailed Study o Phase Transitions
- Theory of Temperature Dependence of Surface Reconstruction
- Note on Anomalous Dielectric Relaxation in Ferroelectrics
- On Second-Order Perturbation Theories of Gravitational Instability in Friedmann-Lemaitre Models
- Further Comment on Isotope Effect in Hydrogen Bonded Crystals
- Cluster Theory of Glass Transition in Rb_(NH_4)_xH_2PO_4
- Relation between Martensitic and Superconducting Phase Transitions in A-15 Type Compounds
- Note on Inverse Isotope Effect in Superconducting PdH_x System. I
- Note on the Equivalence of Expanding in Localized or Bloch States in Disordered Alloys
- Self-Consistent Einstein Model and Theory of Anharmonic Surface Vibration. II : Face-Centered Cubic Lattice
- Note on Frequency Spectrum of Crystalline Fine Particles
- Quantum-Statistical Theory of Liquid Helium
- A Note on the Lattice Vibration with Glass-Like Disorder
- Theory of Phase Transitions in Mixed Crystals Rb_(NH_4)_xH_2PO_4 : Condensed Matter and Statistical Physics
- Note on the Phase Transition in Cul
- Note on Ionicity of Layered Compounds Gas, Gase and InSe
- A Theory of Melting of Metallic Fine Particles
- Bond Orbital Model for IV-VI Compounds
- Contribution to Theory of Electronic State of Disordered Alloys
- An Application of CPA to a Random Spin System
- Cluster Theory of Transition in Squaric Acid. I : Formulation and General Discussion
- A Note on Dynamic Susceptibility of Classical Non-Linear Oscillator
- First-Order Self-Energy Expressed in the Form of a Continued Fraction
- Note on Anharmonic Vibration of Atom in Diamond, Zincblende and Flourite Structure
- Theory of Unusual Lattice Constant Changes in Glassy Phase of Rb_(NH_4)_xH_2PO_4