Debye-Waller factor and thermal expansion of arsenic, antimony and bismuth

Optical Probing of Ultrafast Electronic Decay in Bi and Sb with Slow Phonons

“…from the fits are in excellent agreement with the Debye energies of Bi (10 meV) and Sb (17 meV) [19]. The real-space E g charge-density fluctuation depicted in Fig.…”

Ultrafast Bond Softening in Bismuth: Mapping a Solid's Interatomic Potential with X-rays

“…Our results also represent average values over the sample depth for both frequency and quasi-equilibrium coordinate, as the x-ray penetration depth is much larger than the film thickness. In the absence of photoexcitation, the accepted values of the frequency and equilibrium location at room temperature are 2.93 THz and x = 0.46719 (10,(16)(17)(18). Note that at a measured quasi-equilibrium coordinate of x = 0.4729 ± 0.0001, the well is shifted by 6.7 picometers and the interatomic forces Under the same assumption of a single electron hole pair produced per absorbed photon, we separately compare the measured quasi-equilibrium coordinate as a function of carrier density to the DFT predictions (Fig.…”

Nanoscale Depth-Resolved Coherent Femtosecond Motion in Laser-Excited Bismuth

“…Each basis atom is positioned along the body diagonal of the unit cell at zc from a fixed lattice point, where c 1:18 nm is the length of the body diagonal and z 0:2334 [5]. This can be considered as a small distortion of a simple cubic structure, stabilized into a lower-symmetry structure by the formation of a highly restricted density of electronic states near the Fermi energy [6].…”

“…Taking z 0 0:2334 as the ground state equilibrium value of z [5], the quasiequilibrium atomic position parameter is z eq x; t z 0 a 1 n 1 x; t a 2 n 2 x; t, which simplifies to…”