Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Crystal Field Theory - Tetrahedral and Square Planar Complexes

Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than...

X-ray Crystallography

X-ray Crystallography

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...

Determination of Crystal Structures

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...

Electric Dipoles and Dipole Moment

Electric Dipoles and Dipole Moment

Consider two charges of equal magnitude but opposite signs. If they cannot be separated by an external electric field, the system is called a permanent dipole. For example, the water molecule is a dipole, making it a good solvent.
Theoretically, studying electric dipoles leads to understanding why the resultant electric forces around us are weak. Since electric forces are strong, remnant net charges are rare. Hence, the interaction between dipoles helps us understand electrical interactions in...

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory - Octahedral Complexes

Crystal Field Theory
To explain the observed behavior of transition metal complexes (such as colors), a model involving electrostatic interactions between the electrons from the ligands and the electrons in the unhybridized d orbitals of the central metal atom has been developed. This electrostatic model is crystal field theory (CFT). It helps to understand, interpret, and predict the colors, magnetic behavior, and some structures of coordination compounds of transition metals.
CFT focuses on...

Hybridization of Atomic Orbitals II

Hybridization of Atomic Orbitals II

sp3d and sp3d 2 Hybridization

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Fast near field calculations in the discrete dipole approximation for regular rectilinear grids.

Optics express·2012

Same author

Scattering by two spheres in contact: comparisons between discrete-dipole approximation and modal analysis.

Applied optics·2010

Same author

Application of fast-Fourier-transform techniques to the discrete-dipole approximation.

Optics letters·2009

Same author

Discrete-dipole approximation with polarizabilities that account for both finite wavelength and target geometry.

Journal of the Optical Society of America. A, Optics, image science, and vision·2004

Same author

Global air pollution crossroads over the Mediterranean.

Science (New York, N.Y.)·2002

Same author

Improvements in the discrete-dipole approximation method of computing scattering and absorption.

Optics letters·1997

Search research articles

Related Experiment Video

Updated: Apr 22, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Light scattering by hexagonal columns in the discrete dipole approximation.

P J Flatau, B T Draine

|October 17, 2014

Summary

This study models light scattering by hexagonal ice crystals using wave and geometric optics. Results show geometric optics accurately predicts large ice crystal halos, while smaller crystals exhibit halo broadening and spillover.

Area of Science:

Atmospheric optics
Light scattering by ice crystals

Background:

Ice crystals in the atmosphere cause optical phenomena like halos.
Understanding light scattering is crucial for interpreting atmospheric optics.

Purpose of the Study:

To calculate light scattering by hexagonal ice prisms using wave and geometric optics.
To investigate the applicability of geometric optics for modeling halo formation.
To suggest methods for retrieving ice crystal sizes from halo properties.

Main Methods:

Maxwell's equations in the discrete dipole approximation were used for calculations.
Birefringence effects were included.
Scattering was analyzed for size parameters up to x = 400.

Main Results:

More Related Videos

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

Published on: March 2, 2021

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

Related Experiment Videos

Last Updated: Apr 22, 2026

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

In situ Grazing Incidence Small Angle X-ray Scattering on Roll-To-Roll Coating of Organic Solar Cells with Laboratory X-ray Instrumentation

Published on: March 2, 2021

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform PolyN-isopropylacrylamide Microgels

Published on: September 8, 2016

Wave optics and geometric optics showed excellent agreement for large size parameters in the outer halo region.
Smaller ice crystals predicted halo broadening and "spillover" into angles less than 22 degrees.
Halo polarization was also analyzed.

Conclusions:

Geometric optics is applicable for modeling large ice crystal halos.
Halo broadening and spillover in smaller crystals offer potential for size retrieval.
Methods based on halo width, power at < 22 degrees, and polarization can estimate ice crystal sizes.