scholarly journals Singular value decomposition as a tool for background corrections in time-resolved XFEL scattering data

2014 ◽  
Vol 369 (1647) ◽  
pp. 20130336 ◽  
Author(s):  
Kristoffer Haldrup
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Scattering Data ◽  
High Time Resolution ◽  
Light Sources ◽  
Time Resolved ◽  
X Ray ◽  
Very Large Datasets ◽  
Chaotic Nature ◽  
Value Decomposition

The development of new X-ray light sources, XFELs, with unprecedented time and brilliance characteristics has led to the availability of very large datasets with high time resolution and superior signal strength. The chaotic nature of the emission processes in such sources as well as entirely novel detector demands has also led to significant challenges in terms of data analysis. This paper describes a heuristic approach to datasets where spurious background contributions of a magnitude similar to (or larger) than the signal of interest prevents conventional analysis approaches. The method relies on singular-value decomposition of no-signal subsets of acquired datasets in combination with model inputs and appears generally applicable to time-resolved X-ray diffuse scattering experiments.

scholarly journals Application of Singular Value Decomposition to the Analysis of Time-Resolved Macromolecular X-Ray Data

2003 ◽  
Vol 84 (3) ◽  
pp. 2112-2129 ◽  
Author(s):  
Marius Schmidt ◽  
Sudarshan Rajagopal ◽  
Zhong Ren ◽  
Keith Moffat
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Time Resolved ◽  
X Ray ◽  
Value Decomposition

Singular value decomposition analysis of time-resolved small-angle X-ray scattering during morphological transition in a block copolymer

2003 ◽  
Vol 36 (4) ◽  
pp. 982-985 ◽  
Author(s):  
Shigeru Okamoto ◽  
Shinichi Sakurai
Keyword(s):  
Block Copolymer ◽  
Singular Value Decomposition ◽  
Temperature Jump ◽  
Singular Value ◽  
Morphological Transition ◽  
Time Resolved ◽  
X Ray ◽  
X Ray Scattering ◽  
Value Decomposition ◽  
Ray Scattering

Time-resolved small-angle X-ray scattering (TR-SAXS) studies of the structural changes in a block copolymer after a temperature jump are reported. The sample used was a polystyrene-block-poly(ethylene-alt-butylene)-block-polystyrene (SEBS) triblock copolymer, which has a number-average molecular weight of 54000 g mol−1and a volume fraction of polystyrene of 0.227. The film specimen was prepared by the solution-cast method using a selective solvent. The as-cast specimen with lamellar microdomains underwent the temperature jump from 363 to 403 K and the morphological transition from lamellae to cylinders was observed as a function of time by the TR-SAXS technique. The singular value decomposition (SVD) analysis was performed on the scattering profiles. This analysis strongly suggested the existence of a third basis component of the X-ray scattering profiles, thus supporting that there is an intermediate state during the transition from lamellae to cylinders.

scholarly journals Application of singular value decomposition to time-resolved X-ray data; simulations and experiments

2002 ◽  
Vol 58 (s1) ◽  
pp. c374-c374
Author(s):  
M. Schmidt ◽  
R. Pahl ◽  
V. Srajer ◽  
S. Anderson ◽  
K. Brister ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Time Resolved ◽  
X Ray ◽  
Value Decomposition

scholarly journals Two Distinct Solvated Structures of Para-Nitroaniline in Acetonitrile and Their Dissociation and Reassociation Dynamics

1999 ◽  
Vol 19 (1-4) ◽  
pp. 329-333 ◽  
Author(s):  
K. Mohanalingam ◽  
S. Yamaguchi ◽  
H. Hamaguchi
Keyword(s):  
Singular Value Decomposition ◽  
Absorption Spectra ◽  
Time Constant ◽  
Singlet State ◽  
Temporal Evolution ◽  
Singular Value ◽  
Excited Singlet State ◽  
Excited Singlet ◽  
Time Resolved ◽  
Value Decomposition

We have measured the femtosecond time-resolved absorption spectra of para-nitroaniline in acetonitrile just after the photoexcitation to the lowest excited singlet state. The Singular Value Decomposition (SVD) analysis shows that two temporal evolutions follow the photoexcitation. The fast component (0.7 ps time constant) describes the dissociation of the 1:2 associated form to generate the 1:0 form followed by its reassociation with AN molecules. A slower temporal evolution of 10 ps is most likely to represent the cooling down process of the whole system.

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