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Related Concept Videos

Stereoisomerism02:52

Stereoisomerism

Isomerism in Complexes
Isomers are different chemical species that have the same chemical formula.
Transition metal complexes often exist as geometric isomers, in which the same atoms are connected through the same types of bonds but with differences in their orientation in space. Coordination complexes with two different ligands in the cis and trans positions from a ligand of interest form isomers. For example, the octahedral [Co(NH3)4Cl2]+ ion has two isomers (Figure 1) In the cis...
Stereoisomers02:32

Stereoisomers

On the basis of mirror symmetry, stereoisomers of an organic molecule can be further classified into diastereomers and enantiomers. Diastereomers are stereoisomers that are not mirror images of each other. Substituted alkenes, such as the cis and trans isomers of 2-butene, are diastereomers, as these molecules exhibit different spatial orientations of their constituent atoms, are not mirror images of each other, and do not interconvert. Here, the interconversion is suppressed due to restricted...
Stereoisomerism of Cyclic Compounds02:33

Stereoisomerism of Cyclic Compounds

In this lesson, we delve into the role of ring conformation and its stability, which determines the spatial arrangement and, consequently, the molecular symmetry and stereoisomerism of cyclic compounds. 1,2-Dimethylcyclohexane is used as a case study to evaluate the possible number of stereoisomers. Here, given the multiple (n = 2) chiral centers, there are 2n = 4 possible configurations that lack a plane of symmetry, as the ring skeleton exists in a non-planar chair conformation. In addition,...
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...

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Updated: May 19, 2026

Knowing What Counts: Unbiased Stereology in the Non-human Primate Brain
11:25

Knowing What Counts: Unbiased Stereology in the Non-human Primate Brain

Published on: May 14, 2009

Introduction to stereology.

Mark J West

    Cold Spring Harbor Protocols
    |August 3, 2012
    PubMed
    Summary
    This summary is machine-generated.

    Stereology offers quantitative descriptions of 3D structures from 2D images. This mathematical approach enhances understanding of biological tissue structure-function relationships and dynamics.

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    Stereological Estimation of Dopaminergic Neuron Number in the Mouse Substantia Nigra Using the Optical Fractionator and Standard Microscopy Equipment

    Published on: September 1, 2017

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    Last Updated: May 19, 2026

    Knowing What Counts: Unbiased Stereology in the Non-human Primate Brain
    11:25

    Knowing What Counts: Unbiased Stereology in the Non-human Primate Brain

    Published on: May 14, 2009

    Serial Block-Face Scanning Electron Microscopy (SBF-SEM) of Biological Tissue Samples
    09:21

    Serial Block-Face Scanning Electron Microscopy (SBF-SEM) of Biological Tissue Samples

    Published on: March 26, 2021

    Stereological Estimation of Dopaminergic Neuron Number in the Mouse Substantia Nigra Using the Optical Fractionator and Standard Microscopy Equipment
    08:19

    Stereological Estimation of Dopaminergic Neuron Number in the Mouse Substantia Nigra Using the Optical Fractionator and Standard Microscopy Equipment

    Published on: September 1, 2017

    Area of Science:

    • Morphological sciences
    • Biophysics
    • Quantitative biology

    Background:

    • Descriptive anatomy traditionally relies on qualitative assessments.
    • The integration of mathematics is transforming biological sciences, akin to the evolution of astrology into astronomy.
    • Quantitative morphology is emerging as a crucial field for biological tissue evaluation.

    Discussion:

    • Stereology provides a framework for obtaining meaningful quantitative descriptions of three-dimensional (3D) structures.
    • Measurements are derived from two-dimensional (2D) images, enabling analysis of complex biological architectures.
    • Unbiased stereological techniques ensure precise mathematical descriptions of structures.

    Key Insights:

    • Enables concise descriptions of structure-function relationships.
    • Facilitates the study of structural dynamics within biological systems.
    • Reasserts the importance of quantitative morphology in biological research.

    Outlook:

    • Stereology is poised to make anatomy increasingly quantitative.
    • This approach will refine the evaluation of biological tissues.
    • Advances in stereology will deepen our understanding of biological complexity.