Generative Models for Crystalline Materials

H Houssam Metni (Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany) L Laura Ruple (Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany) L Lauren N. Walters (Department of Materials Science and Engineering University of California Berkeley California USA) L Luca Torresi (Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany) J Jonas Teufel (Institute of Theoretical Informatics Karlsruhe Institute of Technology Karlsruhe Germany) H Henrik Schopmans (Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany) J Jona Östreicher (Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany) Y Yumeng Zhang (Massachusetts Institute of Technology , , , ,) M Marlen Neubert (Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany) Y Yuri Koide (Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany) K Kevin Steiner (Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany) P Paul Link (Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany) L Lukas Bär (Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany) M Mariana Petrova (Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany) G Gerbrand Ceder P Pascal Friederich (Institute of Theoretical Informatics Karlsruhe Institute of Technology Karlsruhe Germany)

Abstract

ABSTRACT Understanding structure‐property relationships in materials is fundamental in condensed matter physics and materials science. Over the past few years, machine learning (ML) has emerged as a powerful tool for advancing this understanding and accelerating materials discovery. Early ML approaches primarily focused on constructing and screening large material spaces to identify promising candidates for various applications. More recently, research efforts have increasingly shifted toward generating crystal structures using end‐to‐end generative models. This review analyzes the current state of generative modeling for crystal structure prediction and de novo generation. It examines crystal representations, outlines the generative models used to design crystal structures, and evaluates their respective strengths and limitations. Furthermore, the review highlights experimental considerations for evaluating generated structures and provides recommendations for suitable existing software tools. Emerging topics, such as modeling disorder and defects, integration in advanced characterization, incorporating synthetic feasibility constraints, and model explainability are explored. Ultimately, this work aims to inform both experimental scientists looking to adapt suitable ML models to their specific circumstances and ML specialists seeking to understand the unique challenges related to inverse materials design and discovery.

Article Details

Volume / Issue Vol. 38, Issue 18
Published March 01, 2026
ISSN 0935-9648
Publisher Unknown Publisher

Journal Info

Advanced Materials

Unknown Publisher

ISSN: 0935-9648 Physical Sciences

Authors (16)

H

Houssam Metni

Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany

L

Laura Ruple

Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany

L

Lauren N. Walters

Department of Materials Science and Engineering University of California Berkeley California USA

L

Luca Torresi

Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany

J

Jonas Teufel

Institute of Theoretical Informatics Karlsruhe Institute of Technology Karlsruhe Germany

H

Henrik Schopmans

Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany

J

Jona Östreicher

Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany

Y

Yumeng Zhang

Massachusetts Institute of Technology , , , ,

M

Marlen Neubert

Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany

Y

Yuri Koide

Institute of Nanotechnology Karlsruhe Institute of Technology Karlsruhe Germany

K

Kevin Steiner

Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany

P

Paul Link

Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany

L

Lukas Bär

Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany

M

Mariana Petrova

Institute of Anthropomatics and Robotics Karlsruhe Institute of Technology Karlsruhe Germany

G

Gerbrand Ceder

P

Pascal Friederich

Institute of Theoretical Informatics Karlsruhe Institute of Technology Karlsruhe Germany