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On the limits of observing motion in time-resolved X-ray scattering.


ABSTRACT: Limits on the ability of time-resolved X-ray scattering (TRXS) to observe harmonic motion of amplitude, A and frequency, ?0, about an equilibrium position, R0, are considered. Experimental results from a TRXS experiment at the LINAC Coherent Light Source are compared to classical and quantum theories that demonstrate a fundamental limitation on the ability to observe the amplitude of motion. These comparisons demonstrate dual limits on the spatial resolution through Qmax and the temporal resolution through ?max for observing the amplitude of motion. In the limit where ?max??? ?0, the smallest observable amplitude of motion is A?=?2 ?/ Qmax. In the limit where ?max?2 ?0, A?2 ?/ Qmax is observable provided there are sufficient statistics. This article is part of the theme issue 'Measurement of ultrafast electronic and structural dynamics with X-rays'.

SUBMITTER: Ware MR 

PROVIDER: S-EPMC6452050 | biostudies-literature | 2019 May

REPOSITORIES: biostudies-literature

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On the limits of observing motion in time-resolved X-ray scattering.

Ware Matthew R MR   Glownia James M JM   Natan Adi A   Cryan James P JP   Bucksbaum Philip H PH  

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 20190501 2145


Limits on the ability of time-resolved X-ray scattering (TRXS) to observe harmonic motion of amplitude, A and frequency, ω<sub>0</sub>, about an equilibrium position, R<sub>0</sub>, are considered. Experimental results from a TRXS experiment at the LINAC Coherent Light Source are compared to classical and quantum theories that demonstrate a fundamental limitation on the ability to observe the amplitude of motion. These comparisons demonstrate dual limits on the spatial resolution through Q<sub>m  ...[more]

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