On the direct determination of constrained pure state one-electron density matrices: II. A modified algorithm and its applications

Pramana ◽  
1987 ◽  
Vol 28 (1) ◽  
pp. 51-58 ◽  
Author(s):  
Kalyan K Das ◽  
Priyotosh Khan ◽  
Sankar P Bhattacharyya
Keyword(s):  
Electron Density ◽  
Pure State ◽  
Direct Determination ◽  
Density Matrices ◽  
Modified Algorithm

Direct Determination of Pure-State Density Matrices. II. Construction of Constrained Idempotent One-Body Densities

1969 ◽  
Vol 177 (1) ◽  
pp. 7-13 ◽  
Author(s):  
William L. Clinton ◽  
Anthony J. Galli ◽  
Louis J. Massa
Keyword(s):  
Pure State ◽  
Direct Determination ◽  
State Density ◽  
Density Matrices

Direct Determination of Pure-State Density Matrices. V. Constrained Eigenvalue Problems

1969 ◽  
Vol 177 (1) ◽  
pp. 27-33 ◽  
Author(s):  
William L. Clinton ◽  
Anthony J. Galli ◽  
George A. Henderson ◽  
Guillermo B. Lamers ◽  
Louis J. Massa ◽  
...  
Keyword(s):  
Pure State ◽  
Eigenvalue Problems ◽  
Direct Determination ◽  
State Density ◽  
Density Matrices

Direct Determination of Pure-State Density Matrices. I. Some Simple Introductory Calculations

1969 ◽  
Vol 177 (1) ◽  
pp. 1-6 ◽  
Author(s):  
William L. Clinton ◽  
Jamil Nakhleh ◽  
Francis Wunderlich
Keyword(s):  
Pure State ◽  
Direct Determination ◽  
State Density ◽  
Density Matrices

scholarly journals Direct Determination of the Stacking Order in Gd2O3 Epi-Layers on GaAs

2002 ◽  
Vol 751 ◽  
Author(s):  
Yizhak Yacoby ◽  
Mukhles Sowwan ◽  
Ron Pindak ◽  
Julie Cross ◽  
Don Walko ◽  
...  
Keyword(s):  
Electron Density ◽  
Atomic Structure ◽  
Gaas Substrate ◽  
Direct Determination ◽  
Real Space ◽  
Two Dimensions ◽  
Stacking Order

ABSTRACTWe have used Coherent Bragg Rod Analysis (COBRA) to investigate the atomic structure of a 5.6 nm thick Gd2O3 film epitaxially grown on a (100) GaAs substrate. COBRA is a method to directly obtain the structure of systems periodic in two-dimensions by determining the complex scattering factors along the substrate Bragg rods. The system electron density and atomic structure are obtained by Fourier transforming the complex scattering factors into real space. The results show that the stacking order of the first seven Gd2O3 film layers resembles the stacking order of Ga and As layers in GaAs then changes to the stacking order of cubic bulk Gd2O3. This behavior is distinctly different from the measured stacking order in a 2.7 nm thick Gd2O3 in which the GaAs stacking order persists throughout the entire film.

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