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Related Concept Videos

Halo Effect01:27

Halo Effect

The halo effect is a cognitive bias in which an individual's overall impression influences judgments about their specific traits. This psychological phenomenon leads people to associate positive characteristics with those they perceive as generally good and negative characteristics with those they view as bad. This effect is particularly influential in social perception, professional evaluations, and decision-making processes.The Psychological Basis of the Halo EffectThe halo effect is rooted...
Polar Coordinates: Problem Solving01:27

Polar Coordinates: Problem Solving

Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos⁡(2θ), features four symmetric lobes, each...
Integration Applied to Polar Coordinates to Find Arc Lengths01:26

Integration Applied to Polar Coordinates to Find Arc Lengths

In polar coordinates, a plane curve is described by a radial distance r from a fixed point, called the pole, and an angle θ measured from a reference direction. This system is especially useful for paths that naturally involve rotation, such as an expanding spiral followed by a search drone. If the hiker’s last known position is treated as the pole, then the drone’s location at any instant can be represented by the polar equation r = f(θ), where the distance from the pole changes as the drone...
Centroid of a Body: Problem Solving01:03

Centroid of a Body: Problem Solving

The centroid of a body is a crucial concept in engineering and physics. Finding the centroid of a body can help determine its stability, its balance point, and even its design. In this context, consider a thin wire bent in the form of a quarter circular arc. Polar coordinates are used to calculate the centroid. The wire is first divided into small differential elements of a length equal to the radius multiplied by the differential angle.
The x-coordinates and y-coordinates of each element's...
Electrophilic Addition to Alkynes: Halogenation02:38

Electrophilic Addition to Alkynes: Halogenation

Introduction
Halogenation is another class of electrophilic addition reactions where a halogen molecule gets added across a π bond. In alkynes, the presence of two π bonds allows for the addition of two equivalents of halogens (bromine or chlorine). The addition of the first halogen molecule forms a trans-dihaloalkene as the major product and the cis isomer as the minor product. Subsequent addition of the second equivalent yields the tetrahalide.
Radian and Degree Measure01:29

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Angular motion is measured using two primary units: degrees and radians. These units describe the extent of rotation around a fixed point. A complete rotation corresponds to 360 degrees or 2π radians, depending on the unit used. Although both represent the same angular displacement, they differ in origin and application.Degrees divide a circle into 360 equal segments. Due to its intuitive structure, this unit is historically rooted and widely used in general applications such as navigation,...

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Related Experiment Video

Updated: Jul 12, 2026

Fluorescence In Situ Hybridization on DNA Halo Preparations to Reveal Whole Chromosomes, Telomeres and Gene Loci
09:07

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The 46{degrees} Halo and Its Arcs.

R G Greenler, J R Mueller, W Hahn

    Science (New York, N.Y.)
    |November 9, 1979
    PubMed
    Summary

    Simulating light patterns from ice crystals reveals how different orientations create atmospheric optical phenomena like halos and arcs. This research explains the formation of various sky light displays caused by hexagonal ice crystals.

    Area of Science:

    • Atmospheric optics
    • Crystallography
    • Light scattering

    Background:

    • Ice crystals, typically hexagonal prisms, refract and reflect sunlight.
    • The orientation of ice crystals significantly influences the resulting atmospheric optical phenomena.

    Purpose of the Study:

    • To simulate and analyze the light patterns produced by hexagonal ice crystals with various orientations.
    • To understand the formation mechanisms of halos and arcs in the sky.

    Main Methods:

    • Computer ray tracing was used to simulate light passing through hexagonal prism faces.
    • Simulations were performed for different distributions of crystal orientations and solar elevations.

    Main Results:

    • Randomly oriented crystals produce a 46-degree halo.

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  • Horizontal plate crystals create circumzenithal and circumhorizontal arcs.
  • Horizontal column crystals generate supralateral and infralateral arcs.
  • Spinning plate crystals form arcs near the 46-degree halo.
  • Conclusions:

    • Crystal shape and orientation are critical determinants of observed atmospheric optical phenomena.
    • Computer simulations effectively model the complex light interactions with ice crystals to explain sky light patterns.