Abstract
Silicon dioxide is fundamental in geology, in the electronic materials industry, and in the glass industry. We have carried out an ab initio total energy minimization study of the structure and bonding of alpha cristobalite using nonlocal pseudopotentials in a Car-Parrinello--type molecular dynamical method. The electronic energy is expressed in the local-density approximation. The use of a separable nonlocal pseudopotential preserves the O(M lnM) scaling of the computation for M plane waves. The resulting theoretically computed minimum energy structure agrees well with experiment.
Keywords
Affiliated Institutions
Related Publications
Kohn-Sham potentials and exchange and correlation energy densities from one- and two-electron density matrices for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Li</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>,</mml:mo></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
A definition of key quantities of the Kohn-Sham form of density-functional theory such as the exchange-correlation potential ${v}_{\mathrm{xc}}$ and the energy density ${\ensure...
<i>Ab initio</i>study of the ferroelectric transition in cubic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Pb</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">GeTe</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
In the substitutionally disordered narrow-gap semiconductor Pb1−xGexTe, a finite-temperature cubic-rhombohedral transition appears above a critical concentration x ≈ 0.005. As a...
Self-consistent calculations of the energy bands and bonding properties of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">B</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
Using a basis set of \ensuremath{\sim}3580 plane waves, we perform ab initio self-consistent calculations of the energy bands and cohesive energy of ${\mathrm{B}}_{12}$${\mathrm...
Electronic structure and Schottky-barrier heights of (111)<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">NiSi</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>/Si A- and B-type interfaces
The electronic structures of ${\mathrm{NiSi}}_{2}$/Si(111) A- and B-type interfaces are calculated within the local density approximation (LDA) using large supercells and the LM...
Electron Correlation Effects in Photoemission from the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mrow><mml:msub><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">u</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Level in Acetylene
The photoemission cross section for the $1{\ensuremath{\pi}}_{\mathrm{u}}$ level in acetylene is calculated including electronic correlations using a time-dependent local-densit...
Publication Info
- Year
- 1987
- Type
- article
- Volume
- 59
- Issue
- 10
- Pages
- 1136-1139
- Citations
- 164
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1103/physrevlett.59.1136