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Related Concept Videos

Molecular Shapes01:18

Molecular Shapes

Molecules have characteristic shapes that are crucial for their function. The arrangement of various electron groups around the central atom dictates their molecular geometry. Electron pairs in the valence shell of a central atom will adopt an arrangement that minimizes repulsions between the electron pairs by maximizing the distance between them. The valence electrons form either bonding pairs, located primarily between bonded atoms, or lone pairs.Two regions of electron density in a diatomic...
Metallic Solids02:37

Metallic Solids

Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability. Many...
Accelerating Fluids01:17

Accelerating Fluids

When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
Space Curves01:25

Space Curves

A space curve describes the path followed by a particle moving through three-dimensional space. Unlike plane curves, which are confined to two coordinates, space curves require three coordinate functions. If t is a parameter, the position of the particle is represented by the vector function\begin{equation*}\mathbf{r}(t)=\langle x(t),y(t),z(t)\rangle,\end{equation*}where x(t), y(t), and z(t) are differentiable functions of t. As t varies over an interval, the endpoints of the position vectors...
Real-World Applications of Space Curves01:29

Real-World Applications of Space Curves

Modern aerospace navigation depends on the accurate prediction of motion in three-dimensional space. In defense applications, radar systems continuously track both interceptors and moving aerial targets to find whether their flight paths will result in a collision. These motions are modeled mathematically as space curves, which represent paths that change continuously with time. Each object’s position is described by a vector function that specifies its location in terms of time-dependent...

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Related Experiment Video

Updated: Jul 23, 2026

Localizing Protein in 3D Neural Stem Cell Culture: a Hybrid Visualization Methodology
21:47

Localizing Protein in 3D Neural Stem Cell Culture: a Hybrid Visualization Methodology

Published on: December 19, 2010

Conic: a fast renderer for space-filling molecules with shadows.

C C Huang1, E F Pettersen, T E Klein

  • 1Department of Pharmaceutical Chemistry, University of California, San Francisco 94143-0446.

Journal of Molecular Graphics
|December 1, 1991
PubMed
Summary

This study introduces a faster, more accurate algorithm for creating realistic 3D molecular images using spheres and shadows. The new method enhances molecular visualization for scientific research.

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Area of Science:

  • Computational chemistry
  • Computer graphics
  • Molecular modeling

Background:

  • Accurate molecular visualization is crucial for understanding chemical structures and interactions.
  • Existing methods for generating molecular images can be slow and lack realism.

Purpose of the Study:

  • To develop a novel algorithm for generating high-fidelity molecular images.
  • To improve the speed and accuracy of molecular visualization techniques.

Main Methods:

  • An algorithm was developed to render molecules as intersecting opaque spheres.
  • The method incorporates perspective and shadow computations for realistic visual cues.
  • Detailed mathematical formulations for image generation are presented.

Main Results:

  • The new algorithm generates molecular images with enhanced realism.
  • The developed method is significantly faster than existing programs.
  • The algorithm achieves greater accuracy in visual representation.

Conclusions:

  • The presented algorithm offers a substantial improvement in molecular image generation.
  • This advancement provides a more efficient and accurate tool for molecular visualization in scientific research.