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README for BGAOL 1 July 2012 Bravais General Analysis of Lattices (BGAOL) The Program formerly known as ITERATE Lawrence C Andrews[1] and Herbert J. Bernstein[2,*] [1] Micro Encoder Inc., 11533 NE 118th St, #200, Kirkland, WA 98034-7111 USA [2] Dowling College, 1300 William Floyd Parkway, Shirley, NY 11967 USA [*] To whom correspondence should be addressed. Email: [email protected] Copyright 1996, 2012, all rights reserved ******************************************************* You may redistribute this program under the terms of the GPL. ALternatively you may redistribute this functions and subroutines of this program as an API under the terms of the LGPL ******************************************************* *************************** GPL NOTICES ****************************** * * * This program is free software; you can redistribute it and/or * * modify it under the terms of the GNU General Public License as * * published by the Free Software Foundation; either version 2 of * * (the License, or (at your option) any later version. * * * * This program is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * * GNU General Public License for more details. * * * * You should have received a copy of the GNU General Public License * * along with this program; if not, write to the Free Software * * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA * * 02111-1307 USA * * * **********************************************************************/ ************************* LGPL NOTICES ******************************* * * * This library is free software; you can redistribute it and/or * * modify it under the terms of the GNU Lesser General Public * * License as published by the Free Software Foundation; either * * version 2.1 of the License, or (at your option) any later version. * * * * This library is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * * Lesser General Public License for more details. * * * * You should have received a copy of the GNU Lesser General Public * * License along with this library; if not, write to the Free * * Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, * * MA 02110-1301 USA * * * **********************************************************************/ In simple terms, what this program does is to find the cells which are "close" to the cell given, in order to help find the Bravais lattice of highest symmetry consistent with the cell. A central problem in the solution of every crystal structure is to determine the correct Bravais lattice of the crystal. The Bravais lattices as they are usually listed are: aP triclinic (anorthic) primitive mP monoclinic primitive mS monoclinic side-centered (C-centered) oP orthorhombic primitive oC orthorhombic side-centered (C-centered) oF orthorhombic face-centered oI orthorhombic body-centered hP hexagonal primitive hR hexagonal rhombohedrally-centered tP tetragonal primitive tI tetragonal body-centered cP cubic primitive cF cubic face-centered cI cubic body-centered Failure to find the highest correct symmetry has several consequences, the worst of which is that the structure may not be solved. The least of the consequences is that some successor to Richard Marsh may publish a paper that points out the error, corrects it, and finds a better solution to the structure. Many methods have been described for finding the correct Bravais lattice. A summary of the published methods was published in the paper that described the G6 formalism (which is used in the program on this web page). L. C. Andrews and H. J. Bernstein "Lattices and Reduced Cells as Points in 6-Space and Selection of Bravais Lattice Type by Projections" Acta Crystallographica, A44, 1009-1018 (1988). L. C. Andrews and H. J. Bernstein "The Geometry of Niggli Reduction" arXiv, 1203.5146v1 [math-ph], 2012. arxiv.org/abs/1203.5146 The program on BGAOL implements a search in G6 for the various Bravais lattices that the user's cell may fit. For each lattice type, the best metric match is reported. If the higher symmetry type is actually correct, then that is likely to be the best cell from which to start further refinement. However, the possibility exists that one of the rejected cells (which did not match as well) was actually the correct one to use. The reason for this ambiguity is experimental error and its propagation in the transformations of the lattices in the program. Fortunately, the rejected cells are usually quite similar to the accepted one. A note on standard deviations: First, even in the best of circumstances, standard deviations of unit cell dimensions from 4-circle diffractometer data are always underestimated (by at least a factor of 2). In addition, the points chosen for the determination are often not well distributed (for example all in the first octant of orthorhombic lattices). These less than optimal choices cause substantial systematic error. The experimental errors are amplified in the mathematical conversions between various lattices that any lattice search program must perform. It is not a rare occurrence for angles to be incorrect by 0.5 degrees in initial unit cell determinations. Note: Even in most well determined unit cells, the actual errors in the edge lengths are 0.2 to 0.5 parts per thousand. (Note that reproducibility of the measurements is substantially better, leading to the illusion that diffractometers produce excellent unit cell parameters). Use of standard deviations that are too small is a common reason for failure of Bravais lattice searches. For small molecules, 0.1 Angstroms is a reasonable error for the edge lengths, for proteins, 0.4 to 0.5 (or even more for preliminary measurements). Accurate unit cell parameters must by determined by a number of more complex methods and must include extrapolation to remove systematic effects. For an excellent summary, see "Xray Structure Determination", G.H.Stout and L.H.Jensen, Wiley, 1989. Note on the name BGAOL -- gaols have lots of cells INSTALLATION The complete BGAOL suite consists of a the fortran program BGAOL.FOR, which uses MKGAOL.FOR, near6.for E3TOG6.FOR and MKREFL.FOR, the web page bgaol.html and the cgi-bin script bgaol.csh. The web page and script need some definitions for each system. They are built from m4 macro documents by make, using a command file Makefile, which must contain the appropriate definitions or those definitions must be provided by defining environment variables. In order to install the program, you need to edit the file Makefile, setting the following parameters appropriately for your system: HTTPDSERVER is the name of the server on which the installation is being made. YOU MUST CHANGE THIS DEFINITION TO PERMIT REMOTE ACCESS. The default definition is: HTTPDSERVER = HOST.DOMAIN The other variables you may need to change are SEARCHURL, the URL what will be used to start searches BINDEST, the path that will be used by the cgi-bin script to run the program, which will have the execution name bgaol HTDOCS, the path of the directory into which to store the web page CGIPATH, the URL of the cgi-bin directory FC, the name of the fortran compiler to use (anything capable of fortran 77 compilations will do. Builds have been tested with gfortran, g95, f77 and f2c FFLAGS, compilation flags to use You can see the starting vlaues for these variables by typing make Once you have edited them to suitable values make install will build and install the pieces of the program. OPERATION The program may be operated as a stand-alone program, reading data from stdin, writing output to stdout and messages to stderr or as a server program for the provided cgi-bin script. You can see how the web version of the program runs at http://www.bernstein-plus-sons.com/software/bgaol which you are welcome to use routinely.
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