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Related Concept Videos

Spectrophotometry: Introduction01:16

Spectrophotometry: Introduction

Spectrophotometry is the quantitative measurement of the absorption, reflection, diffraction, or transmission of electromagnetic radiation through a material as a function of the intensity and wavelength of the radiation. A spectrophotometer is a device used to measure the change in the radiation intensity caused by its interaction with the material.
The essential components of a spectrophotometer include a source of electromagnetic radiation, a slot for placing a material to be analyzed, and a...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...
UV–Vis Spectroscopy: Molecular Electronic Transitions01:16

UV–Vis Spectroscopy: Molecular Electronic Transitions

In Ultraviolet–Visible (UV–Vis) spectroscopy, the absorption of electromagnetic radiation is used to probe the electronic structure of molecules. This technique provides insights into molecular electronic transitions, particularly the movement of electrons between different molecular orbitals. Radiation is absorbed if the energy of the electromagnetic radiation passing through the molecule is precisely equal to the energy difference between the excited and ground states. During this process,...
Molecular Spectroscopy: Absorption and Emission01:14

Molecular Spectroscopy: Absorption and Emission

Molecules possess discrete energy levels called quantum states. Unlike atoms, which have simpler energy levels, molecules possess additional rotational and vibrational energy levels. Each energy level is separated by an energy gap, with the gaps between adjacent electronic, vibrational, and rotational levels varying significantly. The three types of energy levels in a diatomic molecule are shown in Figure 1.
IR Spectroscopy: Molecular Vibration Overview01:24

IR Spectroscopy: Molecular Vibration Overview

When Infrared (IR) radiation passes through a covalently bonded molecule, the bonds transition from lower to higher vibrational levels. The fundamental vibrational motions that result in infrared absorption can be classified as stretching or bending vibrations.
Stretching vibrations are vibrational motions that occur along the bond line, changing the bond length or distance between two bonded atoms. They are further distinguished as symmetric or asymmetric. In symmetric stretching, the...

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Related Experiment Video

Updated: Jun 25, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
07:11

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

Spectral difference methods in bound state calculations.

Dean Morgan1, Anthony J H M Meijer, Richard J Doyle

  • 1Department of Chemistry, University of Sheffield, Sheffield, S3 7HF, United Kingdom.

The Journal of Chemical Physics
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

Spectral difference methods accelerate chemical dynamics calculations. A new Gaussian-based weight function significantly outperforms existing methods for bound state problems.

Related Experiment Videos

Last Updated: Jun 25, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
07:11

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

Area of Science:

  • Computational chemistry
  • Quantum mechanics
  • Chemical physics

Background:

  • Discrete variable representations (DVR) are widely used in chemical dynamics.
  • Accelerating these complex calculations is crucial for advancing molecular simulations.

Purpose of the Study:

  • To introduce novel spectral difference weight functions for enhancing computational efficiency.
  • To compare the performance of new weight functions against existing ones.

Main Methods:

  • Implementation of five new spectral difference weight functions.
  • Application and comparison of these functions in two distinct bound state problems.
  • Utilizing spectral difference methods to optimize DVR calculations.

Main Results:

  • One novel Gaussian-based weight function demonstrated superior performance.
  • The proposed Gaussian weight significantly outperformed all previously reported weights.
  • Efficiency gains were observed in the tested bound state problems.

Conclusions:

  • The developed Gaussian-based spectral difference weight function offers a significant improvement for chemical dynamics.
  • This advancement can lead to faster and more accurate molecular simulations.
  • Spectral difference methods show great promise for accelerating computational chemistry.