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📄 manual_3.93a.lyx

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, where each time you change your system, the symmetry group is recalculated so that you can check the symmetry at every stage (option \series bold Sy\series default ).\layout StandardIn order to do a band-structure calculation, you should first relax your system and obtain the electronic density. Note that the ground state density can be left unchanged if you just \shape italic rotate\shape default  your coordinate system (we assume that it is written with respect to the fractional coordinates of the grid points in your cell; this supposed to be the case in both \series bold \emph on VASP\series default \emph default  and \series bold \emph on SIESTA\series default \emph default ). However, if you have to \shape italic shift\shape default  your system by some vector, then the density matrix should be recalculated and a new file must be produced. This option is provided by the utility \series bold \emph on lev00\series default \emph default  (see Section \begin_inset LatexCommand \ref{sub:Ro-shifted-system-lev00}\end_inset ). Therefore, it is always wise to think about it \emph on before\emph default  running the ground state calculation: choose the most symmetrical orientation of the system with respect to the Cartesian axes, use \series bold \emph on tetr\series default \emph default  to show the point group every time!\layout SectionMain menu\begin_inset LatexCommand \label{sec:Main-menu-tetr}\end_inset \layout StandardThe main menu looks like this: \layout Standard\family typewriter \size scriptsize /---------------------------------------------------\backslash \backslash \layout Standard\family typewriter \size scriptsize |.................... MAIN MENU:.....................|\layout Standard\family typewriter \size scriptsize \backslash \backslash ---------------------------------------------------/\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>> Create unit cell from scratch <<<<<<<<\layout Standard\family typewriter \size scriptsize [current geometry will be lost] \layout Standard\family typewriter \size scriptsize B. Generate supercell geometry from scratch\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>>>>>> Cluster construction <<<<<<<<<<<<\layout Standard\family typewriter \size scriptsize Cl. Build up a cluster from the lattice\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>> Geometry file already exists <<<<<<<<<<\layout Standard\family typewriter \size scriptsize M. Complex cell modifications\layout Standard\family typewriter \size scriptsize KP. k-points generation \layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>>>>>> Coulomb potential <<<<<<<<<<<<<<<\layout Standard\family typewriter \size scriptsize Ew. Coulomb potential inside the unit cell\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>>>> Calculation of phonons <<<<<<<<<<<<<\layout Standard\family typewriter \size scriptsize Vm. Vibrations of molecules => preparation\layout Standard\family typewriter \size scriptsize Vc. Vibrations of crystals (point group) => preparation\layout Standard\family typewriter \size scriptsize Vs. Vibrations of crystals (space group) => preparation\layout Standard\family typewriter \size scriptsize V2. Vibrations => calculation [normal modes]\layout Standard\family typewriter \size scriptsize V3. Vibrations => application [DOS, masses]\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>> Representation/visualisation <<<<<<<<<<<\layout Standard\family typewriter \size scriptsize Cm. Compare geometry with the one in another file\layout Standard\family typewriter \size scriptsize D. Distances between atoms\layout Standard\family typewriter \size scriptsize Ch. Check specified point in the cell\layout Standard\family typewriter \size scriptsize Sb. Save in a box running across adjacent cells\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>>> Potential energy surface <<<<<<<<<<<<<\layout Standard\family typewriter \size scriptsize Mv. PES: move atoms keeping the symmetry\layout Standard\family typewriter \size scriptsize ---------- g e n e r a l s e t t i n g s -----------\layout Standard\family typewriter \size scriptsize XY. Format of <geom.xyz> is set to Xmol\layout Standard\family typewriter \size scriptsize R. Read geometry from another file\layout Standard\family typewriter \size scriptsize S. Save\layout Standard\family typewriter \size scriptsize Q. Quit.\layout Standard\family typewriter \size scriptsize Specify the character and press ENTER ------->\layout Standard\align left The sections below explain all these options in some detail.\layout SubsectionB - Generate supercell geometry from scratch\begin_inset LatexCommand \label{sub:B-option-tetr}\end_inset \layout StandardOne can generate lattice vectors of the cell and atomic positions inside the cell from scratch. The initial \emph on B-option\emph default  menu is this:\layout Standard\family typewriter \size scriptsize ========= CHOOSE AN OPTION:\layout Standard\family typewriter \size scriptsize 1. Number of species: <===== undefined\layout Standard\family typewriter \size scriptsize 3. Basic translations of the PRIMITIVE CELL <===== undefined\layout Standard\family typewriter \size scriptsize -------------- Extention matrix {cell -> supercell} -----------\layout Standard\family typewriter \size scriptsize 5. Specify directly\layout Standard\family typewriter \size scriptsize | 1 0 0 |\layout Standard\family typewriter \size scriptsize IJ(i,j)= | 0 1 0 |, ext= 1\layout Standard\family typewriter \size scriptsize | 0 0 1 |\layout Standard\family typewriter \size scriptsize -------------- g e n e r a l s e t t i n g s ----------------\layout Standard\family typewriter \size scriptsize Or. Move atoms closer to origin: NO\layout Standard\family typewriter \size scriptsize XY. Produce <geom.xyz> file after every change for Xmol\layout Standard\family typewriter \size scriptsize Hs. H atoms to be added to <geom.xyz> file: NO\layout Standard\family typewriter \size scriptsize An. [For input] Coordinates are specified in: <Angstroms> \layout Standard\family typewriter \size scriptsize Bb. Set the size of the breeding box for visualisation\layout Standard\family typewriter \size scriptsize >>>>> Current setting for the breeding box: <<<<<\layout Standard\family typewriter \size scriptsize [ 0... 0] x [ 0... 0] x [ 0... 0]\layout Standard\family typewriter \size scriptsize >>>>> extension = 1, # of atoms= 0\layout Standard\family typewriter \size scriptsize Q. Quit: return to the previous setting (if exists)\layout Standard\align left \family typewriter \size scriptsize ----------> Choose an appropriate option:\layout StandardYou must first specify all the data in \begin_inset Quotes eld\end_inset undefined\begin_inset Quotes erd\end_inset  fields. Start from the option 1 and specify the primitive unit cell information. New options will appear that require additional information. The primitive lattice vectors \begin_inset Formula $\mathbf{a}_{1},\mathbf{a}_{2},\mathbf{a}_{3}$\end_inset are specified either manually or from the list, both to be found in the following menu:\layout Standard\family typewriter \size scriptsize --------------------------------------------------\layout Standard\family typewriter \size scriptsize --------- Choose one Bravais lattices: -----------\layout Standard\family typewriter \size scriptsize --------------------------------------------------\layout Standard\family typewriter \size scriptsize 0.Manually\layout Standard\family typewriter \size scriptsize 1.Triclinic system\layout Standard\family typewriter \size scriptsize 2.Monoclinic system. Simple lattice\layout Standard\family typewriter \size scriptsize 3.Monoclinic system. Side-centered lattice\layout Standard\family typewriter \size scriptsize 4.Orthorhombic system. Simple lattice\layout Standard\family typewriter \size scriptsize 5.Orthorhombic system. Fcc-1 lattice\layout Standard\family typewriter \size scriptsize 6.Orthorhombic system. Fcc-2 lattice\layout Standard\family typewriter \size scriptsize 7.Orthorhombic system. Bcc lattice\layout Standard\family typewriter \size scriptsize 8.Tetragonal system. Simple lattice\layout Standard\family typewriter \size scriptsize 9.Tetragonal system. Bcc-1 lattice\layout Standard\family typewriter \size scriptsize 10.Tetragonal system. Bcc-2 lattice (diff.setting)\layout Standard\family typewriter \size scriptsize 11.Cubic system. Simple lattice\layout Standard\family typewriter \size scriptsize 12.Cubic system. Bcc lattice\layout Standard\family typewriter \size scriptsize 13.Cubic system. Fcc lattice\layout Standard\family typewriter \size scriptsize 14.Rhombohedral system.\layout Standard\family typewriter \size scriptsize 15.Hexagonal system\layout Standard\align left \family typewriter \size scriptsize -------> Choose the appropriate number ------->\layout StandardThe cell you want to construct may consist of several primitive cells with lattice vectors \begin_inset Formula \begin{equation}\mathbf{A}_{i}=\sum_{j=1}^{3}T_{ij}\mathbf{a}_{j}\label{eq:a-to-A}\end{equation}\end_inset where \begin_inset Formula $\mathbf{T}$\end_inset  is the \begin_inset Formula $3\times3$\end_inset  transformation (extention) matrix consisting only of integer numbers. By default, the extention matrix is the unit matrix, i.e. \begin_inset Formula $\mathbf{A}_{i}=\mathbf{a}_{i}$\end_inset . However, using options \series bold 4\series default  or\series bold  5\series default  from the B-option menu, the matrix \begin_inset Formula $\mathbf{T}$\end_inset  can be specified either directly (option \series bold 4\series default ) or by specifying the vectors \begin_inset Formula $\mathbf{A}_{i}$\end_inset (option \series bold 5\series default ). In the latter case the matrix \begin_inset Formula $\mathbf{T}$\end_inset  is calculated and it is checked if it consists of integers only. \layout StandardFinally, the unit cell is generated in option \series bold 7\series default . If you leave the B-option menu by pressing \series bold Q\series default  (and Enter), the main menu of \series bold \emph on tetr\series default \emph default  will appear, so that you can modify your setting, add \begin_inset Formula $\mathbf{k}$\end_inset -points and then save them in the format of your choice.\layout SubsectionCl - Build up a cluster from the lattice\begin_inset LatexCommand \label{sub:Cl-option-tetr}\end_inset \layout StandardThis option becomes available in the main menu if the geometry is known, i.e. it has either been read in or constructed from scratch. The idea is this: starting from one atom, build up all or some its nearest neighbours, then nearest neighbours to latter atoms and so on. Finally, if desired, some or all boundary atoms of the cluster are terminated by hydrogen atoms positioned at a certain distance from them and along the directions of the actual bonds of the bulk system.\layout StandardThe \emph on Cl-menu\emph default  initially looks like this:\layout Standard\family typewriter \size scriptsize >>>>>>>>>>>>>>>>>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<<<<<\layout Standard\family typewriter \size scriptsize ... CURRENT lattice vectors for the supercell ARE...\layout Standard\family typewriter \size scriptsize AJ(1): 10.88160 0.00000 0.00000\layout Standard\family typewriter \size scriptsize AJ(2): 0.00000 10.88160 0.00000\layout Standard\family typewriter \size scriptsize AJ(3): 0.00000 0.00000 10.88160\layout Standard

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