Related Experiment Video
Updated: Jul 12, 2026

08:39
Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
Ab initio calculation of optical rotation in (P)-(+)-[4]triangulane
T Daniel Crawford1, Lesley S Owens, Mary C Tam
1Department of Chemistry, Virginia Tech, Blacksburg, VA 24061, USA. crawdad@vt.edu
Journal of the American Chemical Society
|February 3, 2005
Summary
Accurate optical rotation prediction using quantum mechanics aids in determining chiral molecule configurations. New computational methods show excellent agreement with experimental data for [4]triangulane, with only 1% error.
Area of Science:
- Computational Chemistry
- Spectroscopy
- Organic Chemistry
Background:
- Optical rotation is crucial for determining the absolute configurations of chiral molecules.
- Experimental determination of optical rotation is vital in natural product chemistry.
- Accurate computational methods are needed to complement experimental optical rotation data.
Purpose of the Study:
- To develop and present a new quantum mechanical methodology for calculating optical rotatory dispersion (ORD).
- To provide high-accuracy computational ORD data for matching with experimental results.
- To assist in the determination of absolute configurations of chiral molecules.
Main Methods:
- Employed quantum mechanical calculations.
- Utilized a coupled cluster quantum chemical model.
- Calculated optical rotatory dispersion data across a range of wavelengths (589-365 nm).
Main Results:
- The coupled cluster model demonstrated superb agreement with experimental optical rotation data.
- Computational errors averaged only 1% for the tested molecule.
- Validated the methodology for the rigid, helical molecule trispiro[2.0.0.2.1.1]nonane ([4]triangulane).
Conclusions:
- The new quantum mechanical methodology accurately predicts optical rotation.
- This computational approach is a valuable tool for determining absolute configurations of chiral compounds.
- High-accuracy computational ORD data can reliably match experimental findings.
Related Concept Videos
Polar and Cylindrical Coordinates
The Cartesian coordinate system is a very convenient tool to use when describing the displacements and velocities of objects and the forces acting on them. However, it becomes cumbersome when we need to describe the rotation of objects. So, when describing rotation, the polar coordinate system is generally used.
Polar Coordinates
The polar coordinate system offers an alternative to the Cartesian coordinate system for specifying points in a plane, using a distance and an angle instead of x and y coordinates. This system is particularly advantageous in situations involving circular or rotational symmetry, such as in physics or engineering problems involving waves, oscillations, or orbital paths.Defining Polar CoordinatesIn polar coordinates, a point is represented as P(r, ��), where r is the radial distance from a fixed...
Theorem of Pappus
The Theorem of Pappus, also known as the Pappus–Guldinus Theorem, provides a geometric method for determining the volume and surface area of solids generated by the revolution of a plane region or a plane curve about an external axis. The theorem consists of two related statements. The first addresses the volume of solids formed by rotating plane areas, while the second addresses the surface area generated by rotating plane curves. Both results depend on the location of the centroid, which...
Polar Coordinate System
The polar coordinate system provides a natural way to describe points in the plane when distances and directions are more meaningful than horizontal and vertical displacements. It is especially useful for modeling non-rectangular regions such as circles and spirals, where symmetry about a center point is easier to express than it is in a rectangular grid. A familiar example is a ship’s plan position indicator, which marks detected targets as dots positioned relative to the ship at the display’s...
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...
Reflective Property of Parabolas
A parabola is a basic type of conic section that results from the intersection of a plane with a double-napped cone in a direction parallel to one of the cone's sides. This U-shaped curve has a distinctive reflective property: all incoming rays parallel to its axis of symmetry are directed toward a single point, known as the focus. This property is widely utilized in optical and communication technologies that require precise signal concentration.In analytic geometry, a parabola is defined as...

