Force-constant model for the vibrational modes in black-phosphorene and phosphorene nanoribbons (PNRs)

Author(s):  
Oussama Boutahir ◽  
Souhail Lakhlifi ◽  
Sidi Abdelmajid Ait Abdelkader ◽  
Mourad Boutahir ◽  
Abdelhai Rahmani ◽  
...  
1995 ◽  
Vol 407 ◽  
Author(s):  
R. Sommer ◽  
J. Toulouse ◽  
H. Jain

ABSTRACTWe have performed a study on low frequency modes in several alkali silicate glasses by Raman spectroscopy. The Boson peak region is analyzed with a single parameter ω0 which is believed to characerize the density of states of the system. Analysis of the dependence of ω0 on the nature and concentration of the alkali suggests that the position of the Boson peak is essentially governed by the ratio “force constant” over “mass” of localized oscillator modes. At lower frequency (below 30 cm−1), the “excess” intensity can be explained by considering secondorder processes of the same vibrational modes, superimposed on other (possibly relaxational) modes.


1993 ◽  
Vol 48 (8) ◽  
pp. 5634-5642 ◽  
Author(s):  
R. A. Jishi ◽  
R. M. Mirie ◽  
M. S. Dresselhaus ◽  
G. Dresselhaus ◽  
P. C. Eklund

1992 ◽  
Vol 45 (23) ◽  
pp. 13685-13689 ◽  
Author(s):  
R. A. Jishi ◽  
R. M. Mirie ◽  
M. S. Dresselhaus

2007 ◽  
Vol 21 (23n24) ◽  
pp. 4184-4189
Author(s):  
J. J. XIAO ◽  
K. YAKUBO ◽  
K. W. YU

We study vibrational excitations in linearly graded materials and/or systems. Graded systems demonstrate a unique spectrum and mode profiles, resulting in a new type of localization-delocalization transition. The nature of gradients can confine certain vibrational excitations, and redistribute them spatially. These features are contrasted to the two extreme cases of inhomogeneous system, i.e., periodically modulated system and randomly disordered system, We show in detail vibrational normal modes sustained by one dimensional graded force constant and graded mass networks, in particular, a unusual kind of modes called gradons. We propose an approach to study vibrational modes in a grades elastic system with the help of a series of homogeneous systems. Using this approach, we elaborate the features of the elastic gradons and the phonon-gradon transition.


1992 ◽  
Vol 2 (10) ◽  
pp. 1929-1939 ◽  
Author(s):  
Mariette Barthes ◽  
Juegen Eckert ◽  
Susanna W. Johnson ◽  
Jacques Moret ◽  
Basil I. Swanson ◽  
...  

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