New Approach to the Linear-Combination-of-Atomic-Orbitals Method for Cubic Crystals

1971 ◽  
Vol 3 (12) ◽  
pp. 4361-4377 ◽  
Author(s):  
S. Olszewski
Keyword(s):  
Linear Combination ◽  
New Approach ◽  
Cubic Crystals ◽  
Atomic Orbitals

scholarly journals A pencil-and-paper method for elucidating halide double perovskite band structures

2019 ◽  
Vol 10 (48) ◽  
pp. 11041-11053 ◽  
Author(s):  
Adam H. Slavney ◽  
Bridget A. Connor ◽  
Linn Leppert ◽  
Hemamala I. Karunadasa
Keyword(s):  
Linear Combination ◽  
Electronic Structures ◽  
Double Perovskite ◽  
Band Structures ◽  
Atomic Orbitals ◽  
Pencil And Paper ◽  
Paper Method

Explaining most known double perovskite electronic structures and predicting new ones using Linear Combination of Atomic Orbitals analysis.

scholarly journals Predictions for the Unitarity Triangle Angles in a New Parametrization

2003 ◽  
Vol 18 (26) ◽  
pp. 1825-1834 ◽  
Author(s):  
S. Chaturvedi ◽  
Virendra Gupta
Keyword(s):  
Cp Violation ◽  
Linear Combination ◽  
Excellent Agreement ◽  
Belle Collaboration ◽  
Isosceles Triangle ◽  
Unitarity Triangle ◽  
New Approach ◽  
Ckm Matrix ◽  
Unit Matrix ◽  
A Value

A new approach to the parametrization of the CKM matrix, V, is considered in which V is written as a linear combination of the unit matrix I and a nondiagonal matrix U which causes inter-generational-mixing, that is V = cos θ I + i sin θ U. Such a V depends on three real parameters including the parameter θ. It is interesting that a value of θ = π/4 is required to fit the available data on the CKM-matrix including CP-violation. Predictions of this fit for the angles α, β and γ for the unitarity triangle corresponding to [Formula: see text], are given. For θ = π/4, we obtain α = 88.46°, β = 45.046° and γ = 46.5°. These values are just about in agreement, within errors, with the present data. It is very interesting that the unitarity triangle is expected to be approximately a right-angle, isosceles triangle. Our prediction sin 2β = 1 is in excellent agreement with the value 0.99 ± 0.15 ± 0.05 reported by the Belle collaboration at the Lepton–Photon 2001 meeting.

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