Normal Modes of Germanium by Neutron Spectrometry

The frequency wave-number relations of the lattice vibrations in germanium which propagate in the symmeiric STA100! and STAlll! directions were obtained by studying energy distributions of neutrons scattered by a germanium single crystal. The characters of the phonons were ascertained from the intensities and positions of the neutron groups in the reciprocal lattice. The methods are discussed. The results cannot be fitted by simple models using the Born-von Karman theory, but explain satisfatorily the specific heat. The far- infrared spectrum of germanium can be interpreted as combination bands in terms of the results. (auth.)

[1]  R. Lord Far Infrared Transmission of Silicon and Germanium , 1952 .

[2]  Robert Weinstock,et al.  The Inelastic Scattering of Slow Neutrons. , 1943 .

[3]  E. K. Plyler,et al.  The infrared properties of magnesium oxide and their interpretation , 1948 .

[4]  W. P. Mason,et al.  The Elastic Constants of Germanium Single Crystals , 1950 .

[5]  A. T. Stewart,et al.  Normal Modes of Aluminum by Neutron Spectrometry , 1958 .

[6]  B. N. Brockhouse Scattering of Neutrons by Spin Waves in Magnetite , 1957 .

[7]  K. G. Ramanathan Dynamical theory of the vibration spectra of crystals , 1947 .

[8]  M. Lax,et al.  Infrared Lattice Absorption in Ionic and Homopolar Crystals , 1955 .

[9]  H. Palevsky,et al.  Detection of Optical Lattice Vibrations in Ge and ZrH by Scattering of Cold Neutrons , 1957 .

[10]  J. Weertman,et al.  Specific Heat of Germanium between 20°K and 200°K , 1952 .

[11]  H. B. Briggs Infrared Absorption in High Purity Germanium , 1952 .

[12]  H. J. Mcskimin Measurement of Elastic Constants at Low Temperatures by Means of Ultrasonic Waves–Data for Silicon and Germanium Single Crystals, and for Fused Silica , 1953 .

[13]  R. Collins,et al.  Infrared Lattice Absorption Bands in Germanium, Silicon, and Diamond , 1954 .

[14]  F. Herman Theoretical Investigation of the Electronic Energy Band Structure of Solids , 1958 .

[15]  Max Born,et al.  On the Quantum Theory of Pyroelectricity , 1945 .

[16]  P. H. Keesom,et al.  The Atomic Heat of Germanium below 4°K , 1953 .

[17]  L. Holland The Structure of Evaporated Metal Films , 1952 .

[18]  M. Born Zur Raumgittertheorie des Diamanten , 1914 .

[19]  R. W. Hill,et al.  XXV. The specific heats of germanium and grey tin at low temperatures , 1952 .

[20]  B. N. Brockhouse,et al.  NORMAL VIBRATIONS OF GERMANIUM BY NEUTRON SPECTROMETRY , 1957 .

[21]  Helen M. J. Smith The theory of the vibrations and the Raman spectrum of the diamond lattice , 1948, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[22]  B. N. Brockhouse NEUTRON SCATTERING AND THE FREQUENCY DISTRIBUTION OF THE NORMAL MODES OF VANADIUM METAL , 1955 .

[23]  Y. Hsieh The Vibrational Spectrum and the Specific Heat of Germanium and Silicon , 1954 .

[24]  A. Foreman,et al.  Lattice Vibrations and Harmonic Forces in Solids , 1957 .