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Table 1 Summary of the main Wulff-modelling software and their shape construction capabilities

From: Approaches to modelling the shape of nanocrystals

Computational approach

Tool

Wulff

Winterbottom

Modified Wulff

Continuum model

Atomistic model

Stoichiometry for binary systems

Programme language

Twin

Enhancement

Dual shape

Wulffman

√

√

×

×

√

×

–

C+ + (1998)

WulffPack

√

√

√

only Dh

& Ih

×

√

√

√some

systems

Python (2020)

Closest vertex

Technique

Wulffmaker

√

×

×

×

√

×

–

Wolfram

Mathematica

(2012)

WinXMorph

√

×

√

×

√

√

×

Delphi 6 (2005)

SOWOS

√

√

×

×

√

√

√some

systems

Fortran90 (2013)

NanoCrystal

√

×

×

×

×

√

√some

systems

C+ + , Matlab,

PHP (2018)

Growth front

Isosurface

Crystal

Creator

√

×

√

not Ih

√

√

×

–

Matlab (2019)