scholarly journals A Quantum Mechanical Correction to the Statistics of the Almost One-dimensional Chain

1963 ◽  
Vol 16 (3) ◽  
pp. 314
Author(s):  
P Lloyd ◽  
JJ O'Dwyer
Keyword(s):  
Thermal Expansion ◽  
High Temperature ◽  
Temperature Region ◽  
Reasonable Agreement ◽  
Quantum Mechanical ◽  
Dimensional System ◽  
Dimensional Chain ◽  
One Dimensional ◽  
Classical Statistics ◽  
Solid Argon

A series expansion in powers of Planck's constant is adapted to yield the quantum mechanical correction to the classical statistics of an "almost one�dimensional" system. The result is of validity at the high temperature end only of the specifically quantum temperature region. Application to the thermal expansion of solid argon gives reasonable agreement with experiment.

Dodecahedron- and Bowl-Shaped Structures C20

1992 ◽  
Vol 270 ◽  
Author(s):  
Zdenék Slanina ◽  
Ludwik Adamowicz
Keyword(s):  
High Temperature ◽  
Temperature Region ◽  
Relative Stability ◽  
Three Dimensional ◽  
Two Dimensional ◽  
High Temperature Region ◽  
Relative Stabilities ◽  
One Dimensional ◽  
Very High ◽  
Quantumchemical Method

ABSTRACTPurely carbonaceous aggregates C20 have been studied by the AM1 quantumchemical method. In addition to one dodecahedron-shaped structure possessing C1 symmetry another three-dimensional species is revealed, viz. a bowl-shaped structureof C5v symmetry (and also one two-dimensional and two one-dimensional species). Temperature dependence of the relative stabilities of both three-dimensional structures is evaluated, showing that in the relevant temperature region the fullerenic species is prevailing. However, in a very high temperature region a relative-stability interchange has been predicted.

Observation of hysteretic magnetic phase transitions coupled with orientation motion of ions and dielectric relaxation in a one-dimensional nickel-bis-dithiolene molecule solid

2014 ◽  
Vol 43 (16) ◽  
pp. 6251-6261 ◽  
Author(s):  
Xuan-Rong Chen ◽  
Wei-Hua Ning ◽  
Hao Yang ◽  
Jian-Lan Liu ◽  
Fang Xuan ◽  
...  
Keyword(s):  
Phase Transitions ◽  
High Temperature ◽  
Dielectric Relaxation ◽  
Temperature Region ◽  
Magnetic Phase ◽  
Magnetic Transition ◽  
Magnetic Phase Transitions ◽  
Structural Transitions ◽  
High Temperature Region ◽  
One Dimensional

Step-wise orientation motions of ions results in two successive structural transitions, each one is associated with a hysteretic magnetic transition and dielectric relaxation occurs in the high temperature region.

scholarly journals Nonclassical trajectories in head-on collisions

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 506
Author(s):  
A. Kumar ◽  
T. Krisnanda ◽  
P. Arumugam ◽  
T. Paterek
Keyword(s):  
Quantum Dynamics ◽  
Nuclear Reactions ◽  
Plane Waves ◽  
Quantum Mechanical ◽  
Dimensional System ◽  
Stationary Target ◽  
One Dimensional ◽  
Rutherford Scattering ◽  
Convexity Properties ◽  
Quantum Solution

Rutherford scattering is usually described by treating the projectile either classically or as quantum mechanical plane waves. Here we treat them as wave packets and study their head-on collisions with the stationary target nuclei. We simulate the quantum dynamics of this one-dimensional system and study deviations of the average quantum solution from the classical one. These deviations are traced back to the convexity properties of Coulomb potential. Finally, we sketch how these theoretical findings could be tested in experiments looking for the onset of nuclear reactions.

Surface Structure and Growth Mode of Pd Deposited on Mo(110) Surface

2003 ◽  
Vol 10 (02n03) ◽  
pp. 425-430 ◽  
Author(s):  
Y. Maehara ◽  
H. Kawanowa ◽  
Y. Gotoh
Keyword(s):  
High Temperature ◽  
Surface Structure ◽  
Temperature Region ◽  
Coincident Site Lattice ◽  
High Energy ◽  
Growth Mode ◽  
Ordered Structure ◽  
High Temperature Region ◽  
One Dimensional ◽  
Dimensional Growth

The surface structure and growth mode of Pd/Mo(110) have been studied using reflection high energy electron diffraction (RHEED). The surface diagram of Pd on the Mo(110) substrate for deposition thickness versus substrate temperature was obtained. Four kinds of surface structures, namely α1, α2, β and γ, were observed. At less than 1 ML, α2 appeared in temperatures ranging from 400 to 1050°C and α1 appeared from RT to 400°C. α2 has a structure intermediate between those of Pd(111) and Mo(110), in which the dense direction of the layer is parallel to the [111]Mo orientation and their atomic row distances are coincident, resulting in formation of a long-period structure with a Mo surface, namely a coincident site lattice. The α1 structure is similar to the 1 × 1 structure. At more than 1.0 ML, β and γ structures appeared simultaneously in the temperature region from 500 to 950°C. However, at a high temperature region from 950 to 1050°C, the α2 structure was observed. β shows a one-dimensional ordered structure, in which Pd atoms line along [111]Mo. γ exhibits a 3 × 1 structure with the same atomic arrangement as the Mo(110) plane rotated at 70.5°. At greater than 2.0 ML, the Pd film grows in the Frank–van der Merwe growth mode at a low temperature with accumulation of a Pd(111) layer, and in the Stranski–Krastanov growth mode at a high temperature with two-dimensional growth of the γ structure followed by formation of flat crystallites.

scholarly journals The Thermal Expansion of an Almost Linear Chain

1963 ◽  
Vol 16 (2) ◽  
pp. 193 ◽  
Author(s):  
P Lloyd ◽  
JJ O'Dwyer
Keyword(s):  
Thermal Expansion ◽  
Satisfactory Agreement ◽  
Effective Potential ◽  
Linear Chain ◽  
Three Dimensions ◽  
Chain Model ◽  
One Dimensional ◽  
Classical Region ◽  
The Individual ◽  
Solid Argon

A linear chain model of a close-packed line of atoms in a solid has been constructed. The model differs from usual linear chain models in that the chain is not strictly one-dimensional, the individual atoms being free to move in three dimensions. To account for the interaction of the chain with its surroundings an effective potential has been introduced. When the thermal expansion of solid argon is calculated, satisfactory agreement with experiment is obtained in the classical region.

scholarly journals Thermal expansion effects on the one-dimensional liquid-solid phase transition in high temperature phase change materials

AIP Advances ◽  
2019 ◽  
Vol 9 (2) ◽  
pp. 025125 ◽  
Author(s):  
Rubén Darío Santiago Acosta ◽  
José Antonio Otero ◽  
Ernesto Manuel Hernández Cooper ◽  
Rolando Pérez-Álvarez
Keyword(s):  
Phase Transition ◽  
Thermal Expansion ◽  
High Temperature ◽  
Phase Change Materials ◽  
Solid Phase ◽  
High Temperature Phase ◽  
Temperature Phase ◽  
One Dimensional ◽  
Solid Phase Transition ◽  
The One
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