Experimental determination of the dilational strain dependence of the Fermi surface of white tin

1980 ◽  
Vol 58 (4) ◽  
pp. 484-496 ◽  
Author(s):  
D. K. Mak ◽  
J. M. Perz
Keyword(s):  
Fermi Surface ◽  
Experimental Determination ◽  
Elastic Moduli ◽  
Hydrostatic Stress ◽  
Cross Sectional ◽  
Quantum Oscillations ◽  
Simultaneous Measurements ◽  
Landau Quantum ◽  
Derivatives Of

The derivatives with respect to uniaxial elongational strain of the areas of representative orbits on all sheets of the Fermi surface of tetragonal white tin have been deduced from simultaneous measurements of the Landau quantum oscillations in elastic moduli and in torque. Strain derivatives have been determined for most known extremal cross-sectional areas normal to the [100], [110], and [001] symmetry axes; the anisotropy of the strain derivatives of several area branches, having normal directions in the (010) and (001) planes, has also been studied. Uniaxial and hydrostatic stress derivatives deduced from the strain derivatives have been found to be generally consistent with values obtained by other means.

Uniaxial strain dependence of the Fermi surface of tungsten

1977 ◽  
Vol 55 (4) ◽  
pp. 344-355 ◽  
Author(s):  
D. J. Stanley ◽  
J. M. Perz ◽  
M. J. G. Lee ◽  
R. Griessen
Keyword(s):  
Fermi Surface ◽  
Uniaxial Stress ◽  
Cross Sectional ◽  
Quantum Oscillations ◽  
Scattering Phase ◽  
Point Determination ◽  
Derivatives Of ◽  
Homogeneous Strain ◽  
Good Agreement

The derivatives of five representative cross sectional areas of the Fermi surface of tungsten with respect to uniaxial stress and strain along the cube axes, are determined experimentally from simultaneous measurements of quantum oscillations in magnetostriction and torque, and also in sound velocity and torque. The results are resolved into two components, the dependence on volume-conserving tetragonal shear, and the dependence on isotropic dilation. The tetragonal shear dependence is found to be in generally good agreement with the results of KKR calculations based on a fit to the unstrained Fermi surface. The isotropic dilation dependence agrees well with hydrostatic pressure measurements; from these results, the volume derivatives of the scattering phase shifts are deduced. This work is the first step towards a point-by-point determination of the distortion of the Fermi surface of tungsten in a lattice subjected to an arbitrary homogeneous strain.

Experimental uniaxial stress and strain derivatives of the Fermi surface of rhenium

1980 ◽  
Vol 58 (8) ◽  
pp. 1191-1199 ◽  
Author(s):  
E. Fawcett ◽  
F. W. Holroyd ◽  
J. M. Perz
Keyword(s):  
Fermi Surface ◽  
Uniaxial Stress ◽  
Stress And Strain ◽  
Strong Anisotropy ◽  
Quantum Oscillations ◽  
Band Structure Calculations ◽  
Landau Quantum ◽  
Derivatives Of ◽  
Structure Calculations ◽  
The Magnetic Field

The derivatives of the areas of extremal orbits on all the small sheets of the Fermi surface of rhenium, with respect to stress and strain along the hexad axis, have been determined from simultaneous measurements of Landau quantum oscillations in magnetostriction and torque, and also in sound velocity and torque. Strong anisotropy is observed in the stress derivatives of orbits in zones five and six as the direction of the magnetic field defining the normal to the orbit is varied; the anisotropy is most pronounced for orbits which come close to the line of degeneracy AL on the hexagonal Brillouin zone face. The derivatives of the small void in zone eight are found to be very large; this is consistent with the results of band structure calculations which show that this feature of the Fermi surface is very sensitive to small changes in the Fermi energy. Cyclotron effective masses for a number of orbits on the void have also been measured.

The effect of hydrostatic pressure on the Fermi surface of white tin

1979 ◽  
Vol 57 (6) ◽  
pp. 884-889 ◽  
Author(s):  
J. M. Perz ◽  
I. M. Templeton
Keyword(s):  
Hydrostatic Pressure ◽  
Fermi Surface ◽  
Cross Sectional ◽  
Indirect Methods ◽  
Comprehensive Determination ◽  
Shift Technique ◽  
Direct And Indirect Methods ◽  
The Magnetic Field

The derivatives with respect to hydrostatic pressure of 12 extremal cross-sectional areas of the Fermi surface of tetragonal white (β) tin have been measured by the fluid helium de Haas van Alphen phase shift technique. The samples were carefully aligned in situ to have a crystal symmetry axis ([001], [100], or [110]) parallel to the magnetic field. The measured derivatives differ significantly from most values found previously by both direct and indirect methods; it is believed that the present work provides the first reliable comprehensive determination of these quantities. The present experiments also confirm the conclusions of magnetostriction experiments that there is a second orbit normal to [100] on the sixth zone surface not identified in earlier conventional de Haas van Alphen work, and that the third zone extremal areas normal to [001] are larger than previously accepted values determined in de Haas van Alphen studies.

Experimental Determination of Elastic Moduli of the Crystalline Regions in Oriented Polymers

1966 ◽  
Vol 23 (258) ◽  
pp. 696-699
Author(s):  
Ichiro Sakurada ◽  
Katsuhiko Nakamae ◽  
Keisuke Kaji ◽  
Susumu Wadano
Keyword(s):  
Experimental Determination ◽  
Elastic Moduli ◽  
Oriented Polymers

scholarly journals Experimental Determination of Elastic Moduli of the Crystalline Regions in Oriented Polymers

1962 ◽  
Vol 19 (205) ◽  
pp. 292-299 ◽  
Author(s):  
Ichiro Sakurada ◽  
Yasuhiko Nukushina ◽  
Taisuke Ito
Keyword(s):  
Experimental Determination ◽  
Elastic Moduli ◽  
Oriented Polymers

Hydrostatic pressure and uniaxial stress derivatives of the Fermi surface of rhenium

1983 ◽  
Vol 61 (10) ◽  
pp. 1428-1433 ◽  
Author(s):  
J. R. Anderson ◽  
F. W. Holroyd ◽  
J. M. Perz ◽  
J. E. Schirber ◽  
I. M. Templeton
Keyword(s):  
Transition Temperature ◽  
Hydrostatic Pressure ◽  
Fermi Surface ◽  
Cross Sections ◽  
Solid Helium ◽  
Uniaxial Stress ◽  
Superconducting Transition ◽  
Cross Sectional ◽  
Effective Masses ◽  
Derivatives Of

Derivatives with respect to hydrostatic pressure of extremal cross-sectional areas normal to [Formula: see text] of all closed sheets of the Fermi surface of rhenium have been determined by both fluid–helium and solid–helium phase shift techniques. Precise values of de Haas–van Alphen frequencies and effective masses have also been measured for these cross sections. In addition, uniaxial stress derivatives of the zone seven cross sections have been deduced from quantum oseillations in magnetostriction and torque. Previously observed anomalies in the pressure dependence of the superconducting transition temperature are interpreted in terms of the present results.

The mechanics of vibrating flames in tubes

1977 ◽  
Vol 353 (1675) ◽  
pp. 459-473 ◽  
Keyword(s):  
Experimental Determination ◽  
Wave Motion ◽  
Pressure Oscillations ◽  
Acoustic Modes ◽  
Closed Tube ◽  
Modes Of Vibration ◽  
Dynamical Properties ◽  
Narrow Section ◽  
Derivatives Of

A mechanism of flame vibration is proposed which depends upon the instability of a reacting gas with respect to wave motion. A flame, steadily advancing down a tube, is represented by a narrow section of reacting gas bounded on either side by non-reacting gases at appropriate temperatures. By matching the derivatives of the velocity potentials of the reacting gas and the non-reacting gases at the two interfaces the dynamical properties of the flame are investigated. Relative values of the intensities of the possible acoustic modes, as well as their frequencies, are calculated and are shown to be in general agreement with observations. The pressure oscillations at the end of a closed tube in the unburnt gases are investigated and it is shown how such measurements can provide an experimental determination of the rate of growth of the amplitudes of the permissible modes of vibration.

Experimental determination of higher order elastic moduli of metallic glasses

2022 ◽  
Vol 580 ◽  
pp. 121406
Author(s):  
G.V. Afonin ◽  
J.C. Qiao ◽  
A.S. Aronin ◽  
N.P. Kobelev ◽  
V.A. Khonik
Keyword(s):  
Experimental Determination ◽  
Metallic Glasses ◽  
Elastic Moduli ◽  
Higher Order
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