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Trihybrid Crosses02:27

Trihybrid Crosses

Trihybrid Crosses
Some of Mendel’s crosses examined three pairs of contrasting characteristics. Such a cross is called a trihybrid cross. A trihybrid cross is a combination of three individual monohybrid crosses. For example, plant height (tall vs. short), seed shape (round vs. wrinkled), and seed color (yellow vs. green).
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Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
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Equivalent Couples

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Published on: May 1, 2014

A general method to determine twinning elements.

Yudong Zhang, Zongbin Li, Claude Esling

    Journal of Applied Crystallography
    |April 6, 2012
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a simple method to determine crystal twinning elements, bridging the gap between theory and practice for various crystal structures. The approach aids in identifying and predicting twinning modes in crystalline solids.

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    Area of Science:

    • Crystallography
    • Materials Science
    • Solid State Physics

    Background:

    • Established theories of crystal twinning exist but lack practical methods for determining twinning elements.
    • A gap persists between theoretical understanding and experimental determination of twinning characteristics.

    Purpose of the Study:

    • To propose a direct and simple method for calculating twinning elements applicable to any crystal structure.
    • To bridge the gap between crystal twinning theory and practical determination of twinning elements.

    Main Methods:

    • A direct calculation method based on the minimum shear criterion.
    • Utilizes experimentally determined twinning plane (Type I) or twinning direction (Type II).

    Main Results:

    • The method is valid for all crystal structures.
    • It allows for the calculation of various twinning elements.
    • Successfully identifies and predicts possible twinning modes.

    Conclusions:

    • The proposed method offers a straightforward approach to characterize twinning elements.
    • It is particularly valuable for materials with complex crystal structures.
    • Provides a promising tool for crystallographic analysis and materials research.