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A Bayesian Approach to Surface X-ray Diffraction
We report on the development of an iterative method to directly invert surface x-ray diffraction (SXRD) data and thereby provide a map of electron density in the near-surface region of a solid. We have termed this method PARADIGM, which stands for Phase and Amplitude Recovery And Diffraction Image Generation Method. Significant advances in the PARADIGM theory were made during the grant period, and experimental milestones have also been achieved. The two components of the research program worked in concert, each spurring progress in the other. The method works by iteratively recovering the phases of surface scattering factors. Initially, random phases are assigned to the structure factors. After subtracting off the known bulk component, a Fourier transform converts these factors into an estimate of the real-space electron density map. This map is subjected to a support constraint, which holds that the electron density may only be non-zero near the solid surface. The modified electron density is then subjected to an inverse Fourier transform, and the bulk contributions are added back in. This renders an improved estimate of the phases of the surface structure factors. A constraint in reciprocal space is then applied, namely, the amplitudes of the scattering factors are set …
Date:
November 17, 2006
Creator:
Lyman, Paul F. & Saldin, Dilano K.
Object Type:
Report
System:
The UNT Digital Library
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 341, Ed. 1 Wednesday, November 1, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 1, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 342, Ed. 1 Thursday, November 2, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 2, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 343, Ed. 1 Friday, November 3, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 3, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 344, Ed. 1 Saturday, November 4, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 4, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 345, Ed. 1 Sunday, November 5, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 5, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 346, Ed. 1 Monday, November 6, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 6, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 347, Ed. 1 Tuesday, November 7, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 7, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 348, Ed. 1 Wednesday, November 8, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 8, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 349, Ed. 1 Thursday, November 9, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 9, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 350, Ed. 1 Friday, November 10, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 10, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 351, Ed. 1 Saturday, November 11, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 11, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 352, Ed. 1 Sunday, November 12, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 12, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 353, Ed. 1 Monday, November 13, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 13, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 354, Ed. 1 Tuesday, November 14, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 14, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 355, Ed. 1 Wednesday, November 15, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 15, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 356, Ed. 1 Thursday, November 16, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 16, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 357, Ed. 1 Friday, November 17, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 17, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 358, Ed. 1 Saturday, November 18, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 18, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 359, Ed. 1 Sunday, November 19, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 19, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 360, Ed. 1 Monday, November 20, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 20, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 361, Ed. 1 Tuesday, November 21, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 21, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 362, Ed. 1 Wednesday, November 22, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 22, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History
The Baytown Sun (Baytown, Tex.), Vol. 85, No. 363, Ed. 1 Thursday, November 23, 2006
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
November 23, 2006
Creator:
Clements, Clifford E.
Object Type:
Newspaper
System:
The Portal to Texas History