Molecular Representations
Benzene molecule with SMILES notation

SMILES: A Compact Notation for Chemical Structures

Comprehensive overview of SMILES notation for chemical structures, covering syntax for atoms, bonds, branches, rings, and stereochemistry, plus its key limitations for machine learning.

Molecular Representations
Log-scale plot showing exponential growth of alkane isomer counts from C1 to C40

The Number of Isomeric Hydrocarbons of the Methane Series

A foundational 1931 paper that derives exact recursive formulas for counting alkane structural isomers, correcting historical errors and establishing the first systematic enumeration up to C₄₀.

Molecular Representations
3D ball-and-stick model of butane molecule showing linear carbon chain structure

Hearing Molecular Shape via Coulomb Matrix Eigenvalues

Can mathematical signatures capture molecular shape? We test whether Coulomb matrix eigenvalues can distinguish alkane constitutional isomers, from unsupervised clustering failures to supervised learning successes.

Molecular Representations
Coulomb matrix heatmap visualization showing molecular structure encoding on logarithmic scale

Coulomb Matrices for Molecular Machine Learning

A practical introduction to Coulomb matrices: how they transform molecular 3D structures into ML features, complete with Python examples and honest assessment of their limitations.