[Wien] Determine primitive cell and positions, CXZ LATTICE 15_B2/b

Terki Férial ferial.terki at univ-montp2.fr
Thu Mar 19 19:38:58 CET 2015


Dear Collegues
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Dr F. TERKI
Le 19/03/2015 18:29, Peter Blaha a écrit :
> For low symmetry structures (eg. monoclinic) one can generate several 
> unit cells
> which are absolutely equivalent (same volume, same number of atoms, ...)
>
> This happens with sgroup, which transforms your structure such that the
> monoclinic angle is less than 90. In addition the fractional coordinates
> have been changed austomatically. Nevertheless, these two cells will give
> identical neighbor-distances, which you can verify with nn and 
> comparing the
> resulting outputnn files. There is nothing wrong with either your 
> original cell
> or the one from sgroup. You can use either one for the calculations.
>
> If you want the conventional cell (which contains of course 2x as many 
> atoms),
> you can use   x supercell (1x1x1, no shifts/vacuum). It simply changes
> the lattice type to  "P", and adds the centered atoms.
> With this struct file, however, you cannot make the calculations 
> unless you
> make these atoms "non-equivalent" and break symmetry, eg. by labeling one
> atom as "Al1".
>
> What you have been trying was to express the lattice 
> vectors/positions  in carthesian
> coordinates.
> You can check your calculations again using the distances of outputnn and
> compare them to your own calculations.
>
>
>
> Am 19.03.2015 um 17:03 schrieb David Olmsted:
>> Dear reader,
>>    I am trying to determine the primitive cell and positions for a
>> case.struct file I am running.  But I am not determining the either
>> primitive cell or the conventional cell correctly.
>>
>> I need to either:
>>    1. Figure out what I am doing wrong. or
>>    2. Find a place in the code where I can print out the positions in 
>> terms
>> of the primitive cell.
>>
>> Does anyone know the answer to either question?
>>
>> This is a base-centered monoclinic system, space group 15.
>>
>>> From case.struct:
>> MODE OF CALC=RELA unit=bohr
>>
>>   35.704486 13.533274 13.533274 90.000000 90.000000 99.990000
>>
>> The full case.struct is given below.
>>
>> sgroup reports 15 (C 2/c) [unique axis c] cell choice 2.
>> The struct file output from sgroup is:
>> CXZ LATTICE,NONEQUIV.ATOMS: 14 15 C2/c
>> MODE OF CALC=RELA unit=bohr
>>
>>   35.704486 13.533274 13.533274 90.000000 90.000000 80.010000
>> The case.struct file I am using has the 99.99 degree entry as above.
>>
>> In angstroms, my lattice constants (and angles in degrees) are
>>    18.894 7.1615 7.1615  90 90 99.99
>>
>> The userguide gives (on page 39) the primitive cell as:
>> CXZ    [a sin(\gamma)/2, a cos(\gamma)/2, -c/2], [0, b, 0], [a
>> sin(\gamma)/2, acos(\gamma)/2, c/2]
>>
>> So I have for a primitive cell (each row is a vector):
>> 9.3038  -1.6388 -3.5808
>> 0        7.1615  0
>> 9.3038  -1.6388  3.5808
>>
>> With lengths of 10.1029 7.1615 10.1029 and angles 99.34 41.52 99.34.
>>
>> The positions in case.struct are given in terms of the conventional unit
>> cell, and I must convert them to the primitive cell.  So I need the
>> conventional cell in cartesian coordinates.
>>
>> The README file in SRC_sgroup talks about base-centered monoclinic being
>> restricted to A centered.  Page 39 of the userguide shows only
>> B-base-centered,
>> which is what I have.  The README gives:
>>
>>      The vectors of the conventional cell in cartesian basis
>>      ( 1 vector is 1 column ... )
>>
>>               a  b*Cos[gamma]  0
>>               0  b*Sin[gamma]  0   A - centred
>>               0      0         c
>>
>> This is a valid conventional cell in my case, and switching to each row
>> being a vector, I have:
>> 18.894    0       0
>> -1.24235  7.0529  0
>>   0        0       7.1615
>>
>> However the location of the second primitive cell is (0.5, 0, 0.5) in 
>> terms
>> of the conventional cell.  When transformed to primitive cell 
>> coordinates it
>> must be a lattice vector.  But it is not.  So one of my cells is 
>> wrong.  (I
>> believe the vector for the second primitive cell is correct because 
>> it is
>> what is given in the International Tables, page 199, for unique axis 
>> c, cell
>> choice 2.  And it matches to the neighbor positions in case.outputnn.)
>>
>> Quite possibly the conventional cell is different for B-centered than 
>> for
>> A-centered, but I do not find it described anywhere.
>>
>> My thanks for any help.
>>    David
>>
>> David Olmsted
>> Assistant Research Engineer
>> Materials Science and Engineering
>> 210 Hearst Memorial Mining Building
>> University of California
>> Berkeley, CA 94720-1760
>>
>>
>>
>> ------- case.struct
>> troll_icsd
>>
>> CXZ LATTICE,NONEQUIV.ATOMS: 14 15_B2/b
>>
>> MODE OF CALC=RELA unit=bohr
>>
>>   35.704486 13.533274 13.533274 90.000000 90.000000 99.990000
>>
>> ATOM  -1: X=0.16778000 Y=0.32059000 Z=0.00654000
>>            MULT= 4          ISPLIT= 8
>>        -1: X=0.83222000 Y=0.67941000 Z=0.99346000
>>        -1: X=0.83222000 Y=0.17941000 Z=0.00654000
>>        -1: X=0.16778000 Y=0.82059000 Z=0.99346000
>> Al         NPT=  781  R0=0.00010000 RMT=    1.6300   Z: 13.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -2: X=0.07570000 Y=0.41714000 Z=0.72882000
>>            MULT= 4          ISPLIT= 8
>>        -2: X=0.92430000 Y=0.58286000 Z=0.27118000
>>        -2: X=0.92430000 Y=0.08286000 Z=0.72882000
>>        -2: X=0.07570000 Y=0.91714000 Z=0.27118000
>> Al         NPT=  781  R0=0.00010000 RMT=    1.6300   Z: 13.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -3: X=0.00000000 Y=0.25000000 Z=0.11731000
>>            MULT= 2          ISPLIT= 8
>>        -3: X=0.00000000 Y=0.75000000 Z=0.88269000
>> P          NPT=  781  R0=0.00010000 RMT=    1.3000   Z: 15.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -4: X=0.16844000 Y=0.08109000 Z=0.63272000
>>            MULT= 4          ISPLIT= 8
>>        -4: X=0.83156000 Y=0.91891000 Z=0.36728000
>>        -4: X=0.83156000 Y=0.41891000 Z=0.63272000
>>        -4: X=0.16844000 Y=0.58109000 Z=0.36728000
>> P          NPT=  781  R0=0.00010000 RMT=    1.3000   Z: 15.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -5: X=0.06458000 Y=0.32611000 Z=0.98827000
>>            MULT= 4          ISPLIT= 8
>>        -5: X=0.93542000 Y=0.67389000 Z=0.01173000
>>        -5: X=0.93542000 Y=0.17389000 Z=0.98827000
>>        -5: X=0.06458000 Y=0.82611000 Z=0.01173000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -6: X=0.02064000 Y=0.09579000 Z=0.23728000
>>            MULT= 4          ISPLIT= 8
>>        -6: X=0.97936000 Y=0.90421000 Z=0.76272000
>>        -6: X=0.97936000 Y=0.40421000 Z=0.23728000
>>        -6: X=0.02064000 Y=0.59579000 Z=0.76272000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -7: X=0.23738000 Y=0.16861000 Z=0.53512000
>>            MULT= 4          ISPLIT= 8
>>        -7: X=0.76262000 Y=0.83139000 Z=0.46488000
>>        -7: X=0.76262000 Y=0.33139000 Z=0.53512000
>>        -7: X=0.23738000 Y=0.66861000 Z=0.46488000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -8: X=0.11140000 Y=0.00803000 Z=0.49156000
>>            MULT= 4          ISPLIT= 8
>>        -8: X=0.88860000 Y=0.99197000 Z=0.50844000
>>        -8: X=0.88860000 Y=0.49197000 Z=0.49156000
>>        -8: X=0.11140000 Y=0.50803000 Z=0.50844000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM  -9: X=0.14191000 Y=0.23708000 Z=0.75449000
>>            MULT= 4          ISPLIT= 8
>>        -9: X=0.85809000 Y=0.76292000 Z=0.24551000
>>        -9: X=0.85809000 Y=0.26292000 Z=0.75449000
>>        -9: X=0.14191000 Y=0.73708000 Z=0.24551000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM -10: X=0.18216000 Y=0.92446000 Z=0.76484000
>>            MULT= 4          ISPLIT= 8
>>       -10: X=0.81784000 Y=0.07554000 Z=0.23516000
>>       -10: X=0.81784000 Y=0.57554000 Z=0.76484000
>>       -10: X=0.18216000 Y=0.42446000 Z=0.23516000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM -11: X=0.00000000 Y=0.25000000 Z=0.63572000
>>            MULT= 2          ISPLIT= 8
>>       -11: X=0.00000000 Y=0.75000000 Z=0.36428000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM -12: X=0.16141000 Y=0.06966000 Z=0.12100000
>>            MULT= 4          ISPLIT= 8
>>       -12: X=0.83859000 Y=0.93034000 Z=0.87900000
>>       -12: X=0.83859000 Y=0.43034000 Z=0.12100000
>>       -12: X=0.16141000 Y=0.56966000 Z=0.87900000
>> O          NPT=  781  R0=0.00010000 RMT=    0.8700   Z:  8.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM -13: X=0.00000000 Y=0.25000000 Z=0.51600000
>>            MULT= 2          ISPLIT= 8
>>       -13: X=0.00000000 Y=0.75000000 Z=0.48400000
>> H          NPT=  781  R0=0.00010000 RMT=    0.4700   Z:  1.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>> ATOM -14: X=0.19000000 Y=0.07200000 Z=0.19100000
>>            MULT= 4          ISPLIT= 8
>>       -14: X=0.81000000 Y=0.92800000 Z=0.80900000
>>       -14: X=0.81000000 Y=0.42800000 Z=0.19100000
>>       -14: X=0.19000000 Y=0.57200000 Z=0.80900000
>> H          NPT=  781  R0=0.00010000 RMT=    0.4700   Z:  1.0
>>
>> LOCAL ROT MATRIX:    1.0000000 0.0000000 0.0000000
>>                       0.0000000 1.0000000 0.0000000
>>                       0.0000000 0.0000000 1.0000000
>>     4      NUMBER OF SYMMETRY OPERATIONS
>> -1 0 0 0.00000000
>>   0-1 0 0.00000000
>>   0 0-1 0.00000000
>>         1
>>   1 0 0 0.00000000
>>   0 1 0 0.00000000
>>   0 0 1 0.00000000
>>         2
>> -1 0 0 0.00000000
>>   0-1 0 0.50000000
>>   0 0 1 0.00000000
>>         3
>>   1 0 0 0.00000000
>>   0 1 0 0.50000000
>>   0 0-1 0.00000000
>>         4
>>
>>
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>


-- 
------------------------------------------------------------------------


          _*Attention nouvelle adresse*_
          *ferial.terki at univ-montp2.fr*


            Férial TERKI
            Institut Charles Gerhardt UMR 5253 CNRS-UM2
            Université Montpellier 2, cc 1701
            Place Eugène Bataillon
            34095 Montpellier cedex 5
            Tel: +33 (0) 4 67 14 37 68 / 49 14
            Fax: +33 (0) 4 67 14 38 53
            Thème "Magnétisme Moléculaire"

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