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Updated: Jul 20, 2025

Predicting Catalyst Extrudate Breakage Based on the Modulus of Rupture
Published on: May 13, 2018
Re-visitation of Two Models for Predicting Mechanically-Induced Disordering after Cryogenic Impact Milling
Mustafa Bookwala1, Peter L D Wildfong2
1School of Pharmacy and Graduate School of Pharmaceutical Sciences, Duquesne University, 600 Forbes Avenue, 422C Mellon Hall, Pittsburgh, PA, 15282, USA.
Purpose:
To compare the prediction accuracy of two models used to characterize the complete disordering potential of materials after extensive cryogenic milling.
Methods:
Elastic shear moduli (μs) were simulated in silico. Comparison with available literature values confirmed that computations were reasonable. Complete disordering potential was predicted using the critical dislocation density (ρcrit) and bivariate empirical models. To compare the prediction accuracy of the models, each material added for dataset expansion was cryomilled for up to 5 hr. Mechanical disordering after comminution was characterized using PXRD and DSC, and pooled with previously published results.
Results:
Simulated μs enabled predictions using the ρcrit model for 29 materials. This model mischaracterized the complete disordering behavior for 13/29 materials, giving an overall prediction accuracy of 55%. The originally published bivariate empirical model classification boundary correctly grouped the disordering potential for 31/32 materials from the expanded dataset. Recalibration of this model retained a 94% prediction accuracy, with only 2 misclassifications.
Conclusions:
Prediction accuracy of the ρcrit model decreased with dataset expansion, relative to previously published results. Overall, the ρcrit model was considerably less accurate relative to the bivariate empirical model, which retained very high prediction accuracy for the expanded dataset. Although the empirical model does not imply a mechanism, model robustness suggests the importance of glass transition temperature (Tg) and molar volume (Mv) on formation and persistence of amorphous materials following extensive cryomilling.

