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Related Concept Videos

Mass Spectrometry: Complex Analysis01:21

Mass Spectrometry: Complex Analysis

Mass spectrometry is an important technique for the identification of pure compounds. However, it has some limitations for the analysis of complex mixtures, often due to excessive fragmentation making the spectrum too complicated to decipher. Mass spectrometry can be combined with suitable separation methods in sequence, forming hyphenated methods, which are useful in the analysis of complex mixtures.
GC–MS is a powerful hyphenated method commonly used in forensics and environmental...
¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied first.
Fischer Projections02:18

Fischer Projections

Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines. While...
Racemic Mixtures and the Resolution of Enantiomers02:30

Racemic Mixtures and the Resolution of Enantiomers

A racemic mixture, or racemate, is an equimolar mixture of enantiomers of a molecule that can be separated using their unique interaction with chiral molecules or media. Racemic mixtures are denoted by the (±)- prefix. This ‘optical rotation descriptor’ applies to the whole solution of a racemic mixture rather than a specific stereoisomer. Enantiomers typically have the same physical and chemical properties. Hence, they are not easily separable. However, enantiomers can exhibit different...
Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions03:03

Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions

Unless individual gases chemically react with each other, the individual gases in a mixture of gases do not affect each other’s pressure. Each gas in a mixture exerts the same pressure that it would exert if it were present alone in the container. The pressure exerted by each individual gas in a mixture is called its partial pressure.
Newman Projections02:06

Newman Projections

Different notations are used to represent the three-dimensional structure of molecules on two-dimensional surfaces. One of the most commonly used representations is the dash-wedge formula. The dashed wedges, solid wedges, and the plane lines indicate the groups situated behind the plane, coming out of the plane, and in the plane, respectively.
The organic molecules rotate across the single bonds leading to numerous temporary three-dimensional structures of varying energy known as conformers.

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Related Experiment Video

Updated: Jun 28, 2026

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy
08:49

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy

Published on: December 1, 2023

Evolving projection analysis of multicomponent mixtures.

S G Hughes1, P D Wentzell

  • 1Trace Analysis Research Centre, Department of Chemistry, Dalhousie University, Halifax, NS B3H 4J3, Canada.

Talanta
|October 1, 1995
PubMed
Summary
This summary is machine-generated.

Evolving Projection Analysis (EPA) effectively analyzes complex mixtures with multiple components. Preprocessing data with principal components analysis enhances EPA

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A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

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Last Updated: Jun 28, 2026

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy
08:49

Multimodal Nonlinear Hyperspectral Chemical Imaging Using Line-Scanning Vibrational Sum-Frequency Generation Microscopy

Published on: December 1, 2023

A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Area of Science:

  • Chemometrics
  • Analytical Chemistry
  • Data Analysis

Background:

  • Evolving Projection Analysis (EPA) is a rank analysis method for ordered data matrices.
  • Traditional EPA is applied to data with sequential components over time or another variable.
  • Analyzing mixtures with more than two components presents challenges for EPA.

Purpose of the Study:

  • To describe the application of Evolving Projection Analysis (EPA) to second-order bilinear datasets with more than two components.
  • To demonstrate an enhanced EPA method for analyzing complex mixtures.
  • To validate the extended EPA approach using simulated and experimental data.

Main Methods:

  • Extension of Evolving Projection Analysis (EPA) for multi-component mixtures.
  • Utilized Principal Components Analysis (PCA) for data preprocessing.
  • Applied the enhanced EPA algorithm to simulated and experimental chromatographic and spectrophotometric titration data.

Main Results:

  • The extended EPA method successfully analyzed mixtures containing three and four components.
  • Principal Components Analysis preprocessing was found to be optimal for handling multi-component datasets.
  • The algorithm's efficacy was validated across diverse analytical techniques including liquid chromatography and UV-visible spectrophotometry.

Conclusions:

  • The enhanced EPA, combined with PCA, provides a robust method for analyzing complex mixtures in analytical chemistry.
  • This approach expands the utility of EPA to a wider range of chemical analysis problems.
  • The demonstrated methods are applicable to various spectroscopic and chromatographic detection systems.