The Internal Coordinate Manipulation Commands The commands in this section can be used to construct cartesian coordinates from internal coordinate values. The internal coordinate data structure can also be used for analysis purposes. There are flexible editing commands for manipulating the data structure. When these commands are used in conjunction with the Coordinate Manipulation commands (see Corman .) and the I/O commands (see IO .), a rather complete model building facility exists. * Syntax / Syntax of the internal coordinate commands * Function / Purpose of each of the commands * Structure / Description of the structure of internal coordinates
Top Syntax of Internal Coordinates commands [SYNTAX IC - internal coordinate tables] IC { PARAmeters [ALL] } { FILL [COMP] [APPEnd] [PREServe] [SAVEd] } { GENErate [THREe] [RTF] atom-selection } { DIFFerences [COMP] [APPEnd] [SCALe real] } { DERIvatives [COMP] [APPEnd] [DELTa real] } { DYNAmics dynamics-spec } { EDIT } { BUILd [COMP] [SAVEd] } { SEED atom atom atom [COMP] } { PURGe [SAVEd] } { ADD [SAVEd] } { SUBTract [SAVEd] } { SCALe scale-spec [SAVEd] } { RANDom [ISEEd int] [SAVEd] } { GAUSsian [ZMIX] UNIT int atom atom atom } { PUCKer 5x(atom) ANGLe real AMPL real } { } { { DELete } { BYNUM int [int] } [SAVEd] } { { KEEP } { ic-selection } } { } { SAVE [PREServe ] } { RESTore [OVERwrite] } { } { READ [FILE] [APPEnd] UNIT int [SAVEd] } { } { WRITe [FILE] [RESId] UNIT int [SAVEd] [RTF]} { } { PRINt [SAVEd] [RTF] } The RTF keyword indicates that the output should use the same format as in the RTF. atom::= { residue-number atom-name } { segid resid atom-name } { BYNUm atom-number } { next-from-atom-selection } dynamics-spec::= { [AVERages] } [FIRStunit int] [NUNIts int] { FLUCtuations } [BEGIn int] [STOP int] [NSKIp int] ic-selection::= { } atom-selection { [FIRSt] [SECOnd] [THIRd] [FOURth] [IMPR] } { [DIHE] } scale-spec ::= [ BOND real ] [ ANGLe real ] [ DIHEdral real ] atom-selection ::= see select . next-from-atom-selection ::= all atoms are selected from a single atom selection in sequential order. The syntax for the EDIT subcommands are: { DISTance atom atom real [ADD] } { ANGLe atom atom atom real [ADD] } { DIHEdral { atom atom [*]atom atom } real [ADD] } { { ICNUmber integer } } { END }
Top Purpose of the various Internal Coordinate commands Description : These commands are used to setup, modify and process the internal coordinates of the molecule. This operation is very useful in setting up atom coordinates whenever they are not known. This occurs when a protein structure is built from scratch or when an existing structure is modified. The modification can be simply a conformational change, or a change in the residue sequence through replacement, insertion, or deletion. Many of these modifications can be processed within the program as it currently stands. Other more difficult modifications can be facilitated by editing the internal coordinate card file by using external programs. This facility is also useful as an analysis tool. Several support program use the output from IC tables for conformational analysis (phi-psi maps, ring pucker, pseudorotational angles, solvent structure,...). Command ordering : The Internal Coordinate commands (except EDIT and READ) can only be used if internal coordinates exist (i.e. if the IC common is filled). This can only be filled by reading an IC file, or by using the SETUp keyword in the GENErate or PATCh commands. The information used to setup is obtained from the residue topology file used in the generation process. Subcommand interpretation : ------------------------------------------------------------------------------ PARAmeter [ALL] - Fill table with parameter values Fill the internal coordinates using standard values from the parameter file, unless otherwise specified in the residue topology file (see RTF:(IO)Rtf File Formats.). A value of zero for any bond or angle (not dihedral) indicates that this value should be obtained from the parameters. If the ALL keyword is specified, then all angle and bond values will be filled from the parameter set regardless of the existing values. Setting bond and angles values to zero with the IC edit command makes it possible to selectively use this command. ------------------------------------------------------------------------------ FILL [COMP] [APPEnd] [PREServe] - Convert from cartesian to internal coordinates Fill the internal coordinate values wherever possible from the known atomic coordinates. IC's for atoms that are not placed are zeroed unless the PREServe keyword is specified, in which case the entries are not modified. If the COMP keyword is used, then The alternate coordinate set will be used to fill the IC data structure. The APPEnd option will add the current values to the existing values of the table. For example, one way to see how the current coordinates match a reference ic table: ic scale bond -1.0 angle -1.0 dihe -1.0 ic fill append print ic ------------------------------------------------------------------------------ GENErate [THREe] [RTF] atom-selection - Generate an IC table from connectivity data The IC GENErate command will generate additional IC table entries based on the bond list (connectivity data). This command will not modify the existing IC table data entries. It will attempt to add one IC entry for each selected atom, but for isolated molecules, it will generate NSEL-3, because the first three entries will be incomplete (and thus ignored). If the "THREe" keyword is specified, then it will also include any 3 atom (incomplete) IC entries from the search procedure. The RTF keyword specifies that the printed listing of the result is to be in the same format as in the RTF. The main purpose for this command is to be able to easily produce an IC table for internal coordinate analysis. The simple algorithm employed here does not do a very good job of guessing reasonable IC dihedral values for use in coordinate building such as; IC GENErate ... IC PARAM IC SEED ... IC BUILD For this usage, all dihedrals are set to trans-planar (180.0 degrees) and all improper types are set to 180, +/-120, or +/-90 degrees, depending on the number of bonds on the central atom. Some editing of the table (see IC EDIT) may be essential before constructing coordinates. Where the current algorithm has known problems: 1. Ring structures - trans-planar is not a good starting guess. Some may need to be edited to be cis-planar (0 degrees) or gauche (+/-60 degrees). 2. Linear bonds - It may be necessary to add explicit IC entires for square planar configurations in order to avoid the linear bond problem with exact square planar configurations (i.e. the NA-FE-NC angle in the heme group) 3. The algorithm always uses the most massive branch as the "mainchain". If the last residue (c-terminal) of a polypeptide chain is LYS, then there will be no -C-N-CA-C (phi) torsion angle, since the sidechain is more massive than the carboxyl group (instead you'll have -C-N-CA-CB). This can be "fixed" by temporarily setting the masses of the terminal atoms to large real values. Likewise, an atom in a branch to be avoided as the "mainchain" can be temporarily set to a large negative value. 4. Tetrahedral chiral centers - Currently the improper values are set based on atom order for non-mainchain atoms. The opposite chirality can be achieved with IC EDIT, or an atom reordering. Note: The current algorithm (roughly 300 lines of code) is rather simple. The problems listed above could be solved with a more complex method. Whether this is ever done (and when) will depend on user demand - BRB - March 2, 1998 ------------------------------------------------------------------------------ DIFFerence [COMP] [APPEnd] - Fill table with the difference of two structures The DIFF command will cause the IC table entries to be filled with differences of internal coordinate values. Normally the values are filled (MAIN-COMP), but this is reversed if the COMP keyword is used. The APPEnd keyword will cause the differences to be added to the existing IC table values. ------------------------------------------------------------------------------ DERIvative [COMP] [APPEnd] - Fill table with internal derivatives The DERIvative command will fill the IC table entries with the analytical internal derivatives associated with a particular vector (velocity, forces, or normal mode are typical examples). Normally, it is assumed that the vector is stored in the main coordinate set and the coordinates are stored in the comparison set. If the COMP keyword is specified, then their roles are reversed. The APPE keyword will cause the new values to be added to the existing table values. ------------------------------------------------------------------------------ DYNAmics - Fill table with dynamic averages or fluctuations. The IC DYNAmics command generates averages or fluctuations for the IC table from a dynamics trajectory. The syntax is; IC DYNAmics { [AVERages] } [FIRStunit int] [NUNIts int] { FLUCtuations } [BEGIn int] [STOP int] [NSKIp int] Either the averages, or the fluctuations about the current table values can be computed. The sequence; IC FILL IC DYNAmics AVERage ... PRINT IC IC DYNAMics FLUCtuations ... PRINT IC will print out the averages and fluctuations about the averages. For dihedrals, whether computing fluctuations or averages, a reference value is subtracted before summing (i.e. values are always within 180 degrees of the reference value), thus explaining the need for the IC FILL command preceeding the first IC DYNAmics command. ------------------------------------------------------------------------------ EDIT - Add to or modify the IC table elements Edit the internal coordinate file. This command causes the input stream to transfer to the IC edit mode. The edit mode commands are: DIST atom atom real [ADD] ANGLE atom atom atom real [ADD] DIHE atom atom [*]atom atom real [ADD] END atom::= {residue-number atom-name} { segid resid atom-name } { BYNUm atom-number } These commands will specify a particular internal coordinate value. All occurences of the specified item will be modified. If the specified atoms have no corresponding IC table entry, then a new IC entry will be added for these specified atoms. For the ANGLe option when a new IC entry is added, the corresponding 1-2 and 2-3 distances will be filled from other existing values (or left as zeros). For the DIHEdral option, an optional '*' on the third atom denotes that this is the central atom of an improper dihedral type. When adding a new IC entry for dihedrals, the associated bond and angle terms are filled from existing table values is possible, otherwise, they are added with zeros. The ADD option will add the specified value to the current corresponding value in the IC table. An error will be issued if the IC table entry does not already exist. For example, the command DIHE 15 N 15 CA 15 C 16 N 10.0 ADD will increase the psi angle of residue 15 by 10.0 degrees. The END command is used to exit from the edit IC mode. ------------------------------------------------------------------------------ BUILd [COMP] [SAVEd] - Convert from internal to cartesian coordinates This command determines the cartesian coordinates for all unspecified atoms from the data in the IC file (wherever possible). The user is responsible to make sure that the designation for all atoms is unique. In the case that the system is over specified, An atom is placed on the first opportunity (no checking is done for currently placed atoms). If it is desired to modify the position of atoms with known coordinates, the coordinates for those atoms must be reinitialized using the COOR INIT command. If an IC element contains a zero bond length or angle (not dihedral), then it will not be used to place the terminal atom. This option is useful in cases where the system is overspecified and building is not desired for some IC's. For example; IC: 2 O4' 2 C2' 2 C1' 2 H1' 0.0 0.0 120.0 109.5 1.0 can be used to place H1' but will not place atom O4'. Again, if the COMP keyword is used, then the alternate coordinate set will be used and modified. If the "SAVEd" keyword is used, then it will use the IC table generated by the most recent "IC SAVE" command in lieu of the normal IC table. ------------------------------------------------------------------------------ SEED atom atom atom [COMP] - Place first three atoms for building reference When the cartesian coordinates are not specified for any atoms, the BUILd command cannot be used to generate positions since all positions are determined relative to known positions. The SEED command specifies the positions of the three atoms . It puts the first at the origin, the second on the x-axis, and the third in the xy-plane. The three atoms must have entries in the IC file corresponding to: dist 1-2, angle 1-2-3, dist 2-3. The COMP keyword causes the alternate coordinate set to be modified. ------------------------------------------------------------------------------ DELEte { BYNUM int [int] } - Delete selected elements from the table { ic-selection } ic-selection::= { } atom-selection { [FIRSt] [SECOnd] [THIRd] [FOURth] [IMPR] } { [DIHE] } This commands deletes a specified set of IC's from the data file. The delete can be by number (using the BYNUM keyword and a range), or by atoms selection. Any IC that contains a selected atom will be removed. By default, the atom can match in any position. However, a specific match may be requested by specifying one or more of (FIRSt,SECOnd,THIRd,FOURth). Specifying all of them is equivalent to the default. Also, the keywords DIHE or IMPR may be used to select to delete only those which represent normal dihedrals (DIHE), or those of type improper (IMPR). Example: IC DELE DIHE FIRST SELE TYPE CA END - This command will delete any IC element that is a dihedral type AND has a CA in the first position. ------------------------------------------------------------------------------ KEEP { BYNUM int [int] } - Delete all non-selected elements from the table { ic-selection } ic-selection::= { } atom-selection { [FIRSt] [SECOnd] [THIRd] [FOURth] [IMPR] } { [DIHE] } The keep command is almost the logical opposite of the DELEte command. Its options are identical, except that the selected set of IC's is kept, and all of the remaining ones are deleted. As in the IC DELEte command, a positional match may be selected. Also, the keywords DIHE or IMPR may be used to ADDITIONALLY keep all entries which represent normal dihedrals (DIHE), or those of type improper (IMPR). Example: IC KEEP DIHE FIRST SELE TYPE CA END - This command will retain any IC element that is a dihedral type OR any improper type of IC element with a CA in the first position. ------------------------------------------------------------------------------ PURGe - Clean up the IC table The PURGe command will cause all IC's that contain undefined atoms to be deleted. This is not automatic because sometimes it is desirable to keep partial IC table entries (where less than 4 atoms are defined). ------------------------------------------------------------------------------ SCALe [BOND real] [ANGLe real] [DIHE real] - Scale table elements by a factor. The SCALe command will multiply all elements of a table by a constant factor. This is primarily used when the table contains IC differences or derivatives, and new structures are to be generated based on these values. For example, the following sequence will generate a structure that is midway between two structures in internal coordinate space (Note: this is different from COOR AVERage): IC FILL COMP IC FILL APPEND IC SCALE BOND 0.5 ANGLE 0.5 DIHE 0.5 COOR INIT SELE ALL IC SEED ... IC BUILD COOR ORIE RMS MASS ------------------------------------------------------------------------------ RANDom [ISEEd int]- Randomize all dihedral values The RANDom command will randomize all dihedral values in the table. It will use and modify the specified ISEED value. To randomize a subset of dihedral values, the following procedure may be optimal: [read in RTF, PARAM, and sequence] GENErate MAIN SETUp ! generate segment with IC table IC PARAM ! fill zeroes in IC table with optimal parameter values IC SAVE ! save the entire IC table IC DELEte IMPRoper ! get rid of improper IC terms IC DELEte .... ! get rid of dihedrals that will not be randomized IC KEEP .... ! " IC PRINT ! print to check if correct dihedrals are randomized IC RANDOM ISEED 12345678 ! Randomize all remaining IC dihedral values IC RESTore PREServe ! add all IC entries that are not randomized IC SEED ... ! start the build process IC BUILD ! complete the build process COOR ORIENT MASS ! align the center of mass with the origin ------------------------------------------------------------------------------ SAVE [PREServe ] - Save the current IC table [OVERwrite] The SAVE command will copy the main IC table to a second IC table for later retrieval. If the PREServe keyword is specified, then any IC elements already in the second table will be unmodified and only IC entries from the main set not contained in the second set will be appended to the second set. If the OVERwrite keyword is specified, then all entries from the main set will be copied to the second set, however, any IC elements already in the second table and not contained in the main table will be unmodified. If neither PRESeve nor OVERwrite is specified, then a simple copy of the main set to the second set is performed (current second set data is lost). ------------------------------------------------------------------------------ RESTore [PREServe ] - Restore a previously saved IC table [OVERwrite] The RESTore command will copy the saved IC table (See IC SAVE command) to the current IC table. If the PREServe keyword is specified, then any IC elements already in the main table will be unmodified and only IC entries from the second set not contained in the main set will be appended to the main set. If the OVERwrite keyword is specified, then all entries from the second set will be copied to the main set, however, any IC elements already in the main table and not contained in the second table will be unmodified. If neither PRESeve nor OVERwrite is specified, then a simple copy of the second set to the main set is performed (current main set data is lost). ------------------------------------------------------------------------------ GAUSsian [ZMIX] UNIT int atom atom atom - Make a GAUSSIAN86 input file from The GAUSsian command will make a GAUSSIAN98 coordinate in Z-matrix form for use with the popular ab initio program. The MAIN coordinates will be used unless the COMP keyword is specified. The first three atoms must be specified (in the IC SEED format) and an output unit number must be specified for a write access file. If internal coordinates are undefined the entire molecule will be printed in Z-matrix form. In case internal coordinates are defined for a portion of molecule then this will result in Z-matrix printed for these atoms only. The remaining atoms will not be shown. Mixed Cartesian-internal coordinate printing is activated by ZMIX keyword. Atoms having internal coordinate records will be printed in Z-matrix form while the other atoms will be printed in their Cartesian representation. The mixed Cartesian-internal coordinate representation is designed for performing partial geometry optimization of mutual orientation of two interacting fragments (molecules) taken at their fixed geometry. Atoms of the first fragment are defined by Cartesian coordinates. Atoms of the second fragment are defined by CHARMM internal coordinates and these atoms will be printed in Z-matrix form relatively to the first fragment. ------------------------------------------------------------------------------ PUCKer - Set ring pucker values Set the ring pucker magnitude and phase IC table to a specified value. To force the conformation of the ring to these values, use "CONS IC.." and then minimize. To set the pucker for a DNA sugar, use the following command; IC PUCKer <I> c4' <I> o4' <I> c1' <I> c2' <I> c3' ANGLe <real> AMPLitude <real> Where <I> is the residue number (may be a loop variable) or SEGID/RESID combination (see note / yntax ). For this command to function without warning and/or errors, all 5 canonical torsion angles corresponding to the selected atoms must be part of the current IC table. Note: The order of the atoms is significant! ------------------------------------------------------------------------------
Top Internal Coordinate concepts: Given the positions of any three atoms, the position of a fourth atom can be defined in relative terms (internal coordinates) with three values: a distance, an angle, and a dihedral specification. Where many atoms are connected in a long sequence (as in proteins) it is easiest to consider four atoms in a chain. If the positions of one end of the chain is known, it is possible to find the positions of all of the remaining atoms with a series of internal coordinate values. But in the more general case, where some central portion of a molecule is known it is necessary to be able work in both directions. This lead to the present form of the internal coordinate data structure (five values for four atoms) where if either endpoint is unknown and the other three atoms are determined, the position of the end atom can be found. The improper type of internal coordinate data structure was created for branching structures (as opposed to simple chains). Since there are roughly five values in the data structure for every atom it is clear that the positions are overspecified. Keep this in mind when externally editing IC files. The program will use the first acceptable value when building a structure and ignore any redundancies. The EDIT commands will always modify all occurences of each edited parameter. Normal IC table entry: I \ \ J----K \ \ L values (Rij),(Tijk),(Pijkl),(Tjkl),(Rkl) Improper type of IC table entry I L \ / \ / *K | | J values (Rik),(Tikj),(Pijkl),T(jkl),(Rkl) Internal Coordinate file structure: The internal coordinate file can be stored in either card or binary form. for most purposes the card form will be used (since it can be edited). There are two types of elements in the internal coordinate file, those that correspond to normal dihedral angles and those that correspond to improper dihedrals. They can be distinguished by the presence of a '*' just before the iupac name of the third (K) atom (its presence denotes an improper dihedral type). For each element there are four atoms (referred to as I,J,K,L) and five values. Elements of the IC file are symmetric with respect to inverting the order of the atoms except that for improper types only atoms I and L can be interchanged (also the sign of phi must be changed since phi(IJKL)=-phi(LJKI) ).