Crystal Dynamics of Rubidium. I. Measurements and Harmonic Analysis

1973 ◽  
Vol 51 (6) ◽  
pp. 657-675 ◽  
Author(s):  
J. R. D. Copley ◽  
B. N. Brockhouse

Dispersion curves for lattice vibrations propagating along the five major symmetry directions in a single crystal of rubidium have been measured using inelastic neutron scattering. Care has been taken to identify spurious peaks in the neutron groups and to correct for effects of instrumental resolution. The results, at 12, 85, 120, and 205 °K, have been analyzed within the harmonic framework to yield atomic force constants, which were used to compute the phonon frequency distribution and frequency contours in the (100) and [Formula: see text] planes. A reciprocal space analysis has also been performed. The results are compared with previous measurements on the lighter alkali metals, and with the calculations of Toya and of Price, Singwi, and Tosi.

1991 ◽  
Vol 95 (13) ◽  
pp. 5281-5286 ◽  
Author(s):  
Clifford T. Johnston ◽  
Stephen F. Agnew ◽  
Juergen Eckert ◽  
Llewellyn H. Jones ◽  
Basil I. Swanson ◽  
...  

2005 ◽  
Vol 17 (2) ◽  
pp. 301-311 ◽  
Author(s):  
B Fåk ◽  
D F McMorrow ◽  
P G Niklowitz ◽  
S Raymond ◽  
E Ressouche ◽  
...  

1992 ◽  
Vol 82 (6) ◽  
pp. 443-446 ◽  
Author(s):  
A. Furrer ◽  
P. Fisher ◽  
B. Roessli ◽  
G. Petrakovskii ◽  
K. Sablina ◽  
...  

2008 ◽  
Vol 86 (6) ◽  
pp. 801-805 ◽  
Author(s):  
Y Xie ◽  
J -M Zhang

Atomistic simulations of phonon dispersion for body-centred cubic alkali metals were carried out using the modified analytic embedded atom potentials. The expressions for atomic force constants are derived, the cohesive energy and elastic constants are calculated, and the phonon dispersion curves of Li, Na, K, Rb, and Cs are calculated along five principal symmetry directions. The calculated results are in good agreement with the available experiments. For all of the five alkali metals, in the same direction, a similar phonon dispersion curve is obtained in spite of the successive phonon frequency decreases for Li, Na, K, Rb, and Cs, which may be related to the atom mass increases or the cohesive energy decreases. PACS Nos.: 63.20.Dj, 71.20.Dg, 31.15.Ct


Author(s):  
R S Fishman ◽  
George Ostrouchov ◽  
Feng Ye

Abstract This work describes two methods to fit the inelastic neutron-scattering spectrum S(q, ω) with wavector q and frequency ω. The common and well-established method extracts the experimental spin-wave branches ωn(q) from the measured spectra S(q ,ω) and then minimizes the difference between the observed and predicted frequencies. When n branches of frequencies are predicted but the measured frequencies overlap to produce only m < n branches, the weighted average of the predicted frequencies must be compared to the observed frequencies. A penalty is then exacted when the width of the predicted frequencies exceeds the width of the observed frequencies. The second method directly compares the measured and predicted intensities S(q ,ω) over a grid {q i , ωj} in wavevector and frequency space. After subtracting background noise from the observed intensities, the theoretical intensities are scaled by a simple wavevector-dependent function that reflects the instrumental resolution. The advantages and disadvantages of each approach are demonstrated by studying the open honeycomb material Tb2Ir3Ga9.


1996 ◽  
Vol 54 (2) ◽  
pp. 812-818 ◽  
Author(s):  
J. G. Morgan ◽  
R. B. Von Dreele ◽  
P. Wochner ◽  
S. M. Shapiro

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