Free energies of steps on (111) fcc surfaces

Pepijn R. Kole, Rein J. de Vries, Bene Poelsema, Henricus J.W. Zandvliet

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)

Abstract

For a hexagonal two-dimensional lattice we derive, using a surprisingly simple route, exact expressions for the step free energies along the high symmetry directions, left angle bracket1–10right-pointing angle bracket and left angle bracket11–2right-pointing angle bracket. If we consider only nearest-neighbor interactions, ε, and ignore step overhangs the step free energy vanishes at a temperature View the MathML source. In a more sophisticated model that incorporates step overhangs we find a reduction of TR to about 0.87ε/kb. The obtained step free energy expressions are also valid for the free energy of walls between two regions of opposite spins of the triangular 2D Ising system.
Original languageUndefined
Pages (from-to)356-359
Number of pages4
JournalSolid state communications
Volume136
Issue number6
DOIs
Publication statusPublished - 2005

Keywords

  • METIS-227136
  • IR-73067

Cite this

Kole, Pepijn R. ; de Vries, Rein J. ; Poelsema, Bene ; Zandvliet, Henricus J.W. / Free energies of steps on (111) fcc surfaces. In: Solid state communications. 2005 ; Vol. 136, No. 6. pp. 356-359.
@article{a9470c74bf07431cbb9fa3a5b701aac2,
title = "Free energies of steps on (111) fcc surfaces",
abstract = "For a hexagonal two-dimensional lattice we derive, using a surprisingly simple route, exact expressions for the step free energies along the high symmetry directions, left angle bracket1–10right-pointing angle bracket and left angle bracket11–2right-pointing angle bracket. If we consider only nearest-neighbor interactions, ε, and ignore step overhangs the step free energy vanishes at a temperature View the MathML source. In a more sophisticated model that incorporates step overhangs we find a reduction of TR to about 0.87ε/kb. The obtained step free energy expressions are also valid for the free energy of walls between two regions of opposite spins of the triangular 2D Ising system.",
keywords = "METIS-227136, IR-73067",
author = "Kole, {Pepijn R.} and {de Vries}, {Rein J.} and Bene Poelsema and Zandvliet, {Henricus J.W.}",
year = "2005",
doi = "10.1016/j.ssc.2005.08.008",
language = "Undefined",
volume = "136",
pages = "356--359",
journal = "Solid state communications",
issn = "0038-1098",
publisher = "Elsevier",
number = "6",

}

Free energies of steps on (111) fcc surfaces. / Kole, Pepijn R.; de Vries, Rein J.; Poelsema, Bene; Zandvliet, Henricus J.W.

In: Solid state communications, Vol. 136, No. 6, 2005, p. 356-359.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Free energies of steps on (111) fcc surfaces

AU - Kole, Pepijn R.

AU - de Vries, Rein J.

AU - Poelsema, Bene

AU - Zandvliet, Henricus J.W.

PY - 2005

Y1 - 2005

N2 - For a hexagonal two-dimensional lattice we derive, using a surprisingly simple route, exact expressions for the step free energies along the high symmetry directions, left angle bracket1–10right-pointing angle bracket and left angle bracket11–2right-pointing angle bracket. If we consider only nearest-neighbor interactions, ε, and ignore step overhangs the step free energy vanishes at a temperature View the MathML source. In a more sophisticated model that incorporates step overhangs we find a reduction of TR to about 0.87ε/kb. The obtained step free energy expressions are also valid for the free energy of walls between two regions of opposite spins of the triangular 2D Ising system.

AB - For a hexagonal two-dimensional lattice we derive, using a surprisingly simple route, exact expressions for the step free energies along the high symmetry directions, left angle bracket1–10right-pointing angle bracket and left angle bracket11–2right-pointing angle bracket. If we consider only nearest-neighbor interactions, ε, and ignore step overhangs the step free energy vanishes at a temperature View the MathML source. In a more sophisticated model that incorporates step overhangs we find a reduction of TR to about 0.87ε/kb. The obtained step free energy expressions are also valid for the free energy of walls between two regions of opposite spins of the triangular 2D Ising system.

KW - METIS-227136

KW - IR-73067

U2 - 10.1016/j.ssc.2005.08.008

DO - 10.1016/j.ssc.2005.08.008

M3 - Article

VL - 136

SP - 356

EP - 359

JO - Solid state communications

JF - Solid state communications

SN - 0038-1098

IS - 6

ER -