Bottom-up design of the operating window for direct urea synthesis from first-principles molecular thermodynamics
6 affiliations
- 1Department of Chemical and Biological Engineering
- 2Seoul National University
- 3School of Frontier Sciences
- 4Ajou University
- 5Department of Chemistry
- 6School of Transdisciplinary Innovations
Abstract
Urea, among the most widely utilized foods for crops, is mass-produced via the carbon-and energy-intensive Bosch–Meiser process. However, its operating condition is settled empirically, vulnerable to undersampling and suboptimal production, and its molecular mechanism is not well understood. Here we present a bottom-up design of the operating condition driven by first-principles molecular modeling. Using a machine learning force field trained on first-principles calculations of urea and relevant species, we explored the free energy surface of the reaction space from reactant to product across temperatures. We found a strong thermodynamic preference for acyl substitution over competing pathways, with a free energy minimum around 420 K arising from the balance between carbamic acid’s protonation ratio and solvation number, which respectively increase and decrease with temperature. And we confirmed that the optimal condition originates from near-critical behavior, showing a fixed ratio to the critical temperature below unity. The maximum-yield temperatures of simulation and experiment correspond when scaled to their critical temperatures, suggesting this combined approach for engineering the operating condition.
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BibTeX
@misc{kim2026bottomup,
title = {{Bottom-up design of the operating window for direct urea synthesis from first-principles molecular thermodynamics}},
author = {Minwoo Kim and Seungtae Kim and Ji Woong Yu and Won Bo Lee},
howpublished = {ChemRxiv},
year = {2026},
month = sep,
doi = {10.26434/chemrxiv.15008967/v1},
url = {https://chemrxiv.org/doi/full/10.26434/chemrxiv.15008967/v1},
note = {CC BY},
}
RIS
TY - UNPB
TI - Bottom-up design of the operating window for direct urea synthesis from first-principles molecular thermodynamics
AU - Minwoo Kim
AU - Seungtae Kim
AU - Ji Woong Yu
AU - Won Bo Lee
PY - 2026
DA - 2026/09/17
PB - ChemRxiv
DO - 10.26434/chemrxiv.15008967/v1
UR - https://chemrxiv.org/doi/full/10.26434/chemrxiv.15008967/v1
AB - Urea, among the most widely utilized foods for crops, is mass-produced via the carbon-and energy-intensive Bosch–Meiser process. However, its operating condition is settled empirically, vulnerable to undersampling and suboptimal production, and its molecular mechanism is not well understood. Here we present a bottom-up design of the operating condition driven by first-principles molecular modeling. Using a machine learning force field trained on first-principles calculations of urea and relevant species, we explored the free energy surface of the reaction space from reactant to product across temperatures. We found a strong thermodynamic preference for acyl substitution over competing pathways, with a free energy minimum around 420 K arising from the balance between carbamic acid’s protonation ratio and solvation number, which respectively increase and decrease with temperature. And we confirmed that the optimal condition originates from near-critical behavior, showing a fixed ratio to the critical temperature below unity. The maximum-yield temperatures of simulation and experiment correspond when scaled to their critical temperatures, suggesting this combined approach for engineering the operating condition.
ER -