Related Experiment Video
Updated: Jan 30, 2026

12:11
Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
8.7K
Ab Initio Computation of Rotationally-Averaged Pump-Probe X-ray and Electron Diffraction Signals
Robert M Parrish1,2, Todd J Martínez1,2
1Department of Chemistry and The PULSE Institute , Stanford University , Stanford , California 94305 , United States.
Journal of Chemical Theory and Computation
|February 1, 2019
Summary
We developed a novel algorithm to compute molecular diffraction signals, improving accuracy for pump-probe experiments. This method efficiently represents molecular charge density for enhanced analysis.
Area of Science:
- Computational Chemistry
- Physical Chemistry
- Molecular Dynamics
Background:
- Accurate computation of molecular diffraction signals is crucial for understanding molecular dynamics.
- Existing methods may lack fidelity or efficiency for complex systems.
Purpose of the Study:
- To develop a new, efficient algorithm for calculating rotationally averaged elastic molecular diffraction signals.
- To enable high-fidelity analysis of pump-probe diffraction experiments.
Main Methods:
- Developed an algorithm using Becke quadrature grids for high-fidelity charge density representation.
- Employed Williamson and Zewail scattering kernels for interaction computations.
- Implemented the algorithm on a GPU for enhanced computational efficiency.
Main Results:
- The method achieves convergence with small grids (<500 points/atom).
- Demonstrated applicability to molecules with up to a few dozen atoms.
- Compared the new method against the independent atom model (IAM), showing improved accuracy.
Conclusions:
- The new algorithm provides an accurate and efficient approach for molecular diffraction signal computation.
- The method is suitable for analyzing polyatomic molecules in pump-probe experiments.
- Explored potential for detecting electronic transition signatures in diffraction data.
Related Concept Videos
X-ray Diffraction of Biological Samples
4.8K
X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are scattered by the electron clouds around the sample atoms. The X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are scattered by the electron clouds around the sample atoms. The X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal...
4.8K
X-ray Crystallography
26.1K
The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
26.1K
Interference and Diffraction
52.3K
Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
52.3K
Average Acceleration
13.5K
The importance of understanding acceleration spans our day-to-day experiences, as well as the vast reaches of outer space and the tiny world of subatomic physics. In everyday conversation, to accelerate means to speed up. For instance, we are familiar with the acceleration of our car; the harder we apply our foot to the gas pedal, the faster we accelerate. The greater the acceleration, the greater the change in velocity over a given time. Acceleration is widely seen in experimental physics. In...
13.5K
Average Velocity
23.1K
To calculate the other physical quantities in kinematics, we must introduce the time variable. The time variable allows us not only to state the position of the object during its motion, but also how fast it is moving. The speed at which an object is moving is given by the rate at which the position changes with time. For each position xi, we assign a particular time ti. If the details of the motion at each instant are not important, the rate is usually expressed as the average velocity. This...
23.1K
Average Value of a Function
55
The average value of a function over a closed interval can be interpreted geometrically as the height of a rectangle whose area equals the net area under the curve across that interval. This net area accounts for both positive and negative contributions of the function, providing a single representative value that reflects the function’s overall behaviorA practical illustration of this idea arises when monitoring the temperature inside a greenhouse over a twenty-four-hour period. Although...
55

