scholarly journals Shape transition of coherent three-dimensional (In,Ga)As islands on GaAs(100)

2001 ◽  
Vol 79 (25) ◽  
pp. 4219-4221 ◽  
Author(s):  
Wenquan Ma ◽  
Richard Nötzel ◽  
Hans-Peter Schönherr ◽  
Klaus H. Ploog
Keyword(s):  
Three Dimensional ◽  
Shape Transition

scholarly journals Geometric analysis of shape transition for two-layer carbon–silicon nanotubes

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Xiangyan Luo ◽  
Quan Xie ◽  
Zean Tian ◽  
Xiaotian Guo ◽  
Jinmin Zhang ◽  
...  
Keyword(s):  
Geometric Analysis ◽  
Three Dimensional ◽  
Shape Transition ◽  
Plan View ◽  
Silicon Nanotubes ◽  
Stationary Time ◽  
Distance Distributions ◽  
Ice Creams ◽  
Inside Layer ◽  
Shape Transitions

Abstract The two-layer nanotubes consisted of carbon atoms on the outside layer and silicon atoms on the inside layer (CNT@SiNT) show a series of diversity in the shape transitions, for instance transforming from a circle through an oval to a rectangle. In this paper, we investigate this geometric change from three perspectives. In the first aspect, we stationary time, followed by quantize in the three-dimensional Z-axis of nanotubes. In the second aspect, we stationary Z-axis, followed by quantize in the time. Finally, we tracked distance of nanotubes flattest section and roundest section. At the stationary time, the overall image of different Z-axis distance distributions is similar to a plan view of multiple ice creams, regardless of whether CNT or SiNT are on the same Z-axis, their slice plans are circle or rectangle of the projection of the Z-axis section on the XOY plane. In the stationary Z-axis, the nanotubes periodically change from a circle to an oval, and then from an oval to a rectangle at different times. Most remarkably, the distance value of deformation which we track the flattest and roundest is a constant value, and in the same distance period, there is only one roundest circle and one longest rectangle at different section and different time. The geometric analysis provided theoretical reference for the preparation of various devices and semiconductor nano-heterojunctions.

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

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