Hmm - I cant reproduce this: All these give virtaully the same anser - as they should..

I took the outputs from LSQKAB

ROTATION MATRIX
    0.918     0.374     0.131
    0.345    -0.590    -0.730
   -0.196     0.715    -0.671




PATTERSON SPHERICAL POLARS OMEGA PHI CHI OMEGA TO AXIS ZO PHI FROM AXIS XO TO AXIS YO

WHEN BETA=0 CAN ONLY DEFINE ALPHA + GAMMA .
WHEN BETA = 180 CAN ONLY DEFINE GAMMA - ALPHA.

CROWTHER ALPHA BETA GAMMA    100.18892  -132.15184  -105.30077
 SPHERICAL POLARS OMEGA PHI CHI     91.13347    12.74478   132.20241
 DIRECTION COSINES OF ROTATION AXIS      0.97517     0.22057    -0.01978

Angle between rotation axis and Centroid vector    44.18956




 THE TRANSLATION VECTOR IN ANGSTROMS ALONG THE        ORTHONORMAL AXES IS
  -45.32019    42.44644    14.94666


Then ran DM in turn with the euler angle contention, polar angle and rotation matrix.

All translations are the same of course.

Euler angle command script:

*****************************************************************
/tmp/ccp4/testing_208_1_com.tmp
*******************************************************************
mode -
   SOLV -
   AVER
combine PERT
scheme ALL
ncycles -
   AUTO
solc 0.5
average -
   REFI
rota EULER -
   0.0 0.0 0.0
tran 0.0 0.0 0.0
average -
   REFI
rota EULER -
   100.18892 -132.15184 -105.30077
tran -45.32019 42.44644 14.94666
ncsmask
LABIN  FP=F_id232 SIGFP=SIGF_id232 PHIO=PHIC FOMO=FOM
LABOUT  FDM=FDM PHIDM=PHIDM FOMDM=FOMDM
RSIZE 80
END


Polar angle one:

mode -
   SOLV -
   AVER
combine PERT
scheme ALL
ncycles -
   AUTO
solc 0.5
average -
   REFI
rota POLAR -
   0.0 0.0 0.0
tran 0.0 0.0 0.0
average -
   REFI
rota POLAR -
   91.13347 12.74478 132.20241
tran -45.32019 42.44644 14.94666
ncsmask
LABIN  FP=F_id232 SIGFP=SIGF_id232 PHIO=PHIC FOMO=FOM
LABOUT  FDM=FDMp PHIDM=PHIDMp FOMDM=FOMDMp
RSIZE 80
END

And rotation matrix:

*******************************************************************
/tmp/ccp4/testing_210_1_com.tmp
*******************************************************************
mode -
   SOLV -
   AVER
combine PERT
scheme ALL
ncycles -
   AUTO
solc 0.5
average -
   REFI
rota MATRIX -
   1.0 0.0 0.0 -
   0.0 1.0 0.0 -
   0.0 0.0 1.0
tran 0.0 0.0 0.0
average -
   REFI
rota MATRIX -
   0.918 0.374 0.131 -
   0.345 -0.59 -0.73 -
   -0.196 0.715 -0.671
tran -45.32019 42.44644 14.94666
ncsmask
LABIN  FP=F_id232 SIGFP=SIGF_id232 PHIO=PHIC FOMO=FOM
LABOUT  FDM=FDMr PHIDM=PHIDMr FOMDM=FOMDMr
RSIZE 80
END


Huiying Li wrote:

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Ian is right, the NCS symmetry between 3 copies of molecules is indeed 2-fold(see the matrices below). This clears my confusion on the way LSQMAN and LAQKAB print their rotation matrices.

However, my question on DM got unanswered: why DM gave good results only if I provided NCS symmetry with EULER angles but failed with the rotation matrix input(I have tried either ROTA MATRIX or OMAT options assuming program handles them differently, also tried running script and CCP4i GUI separately).

LSQMAN
A to B
 Rotation     :   0.35659924  0.89497125  0.26807317
                  0.79405671 -0.44152504  0.41776711
                  0.49225062  0.06388988 -0.86810553
 Translation  :     -29.6767     98.3395   -116.3953

A to C
 Rotation     :   0.09560259 -0.34010872  0.93551391
                 -0.50114429  0.79558092  0.34044895
                 -0.86006665 -0.50137526 -0.09438394
 Translation  :      54.2229     62.6560    -40.8627

B to A
 Rotation     :   0.35659924  0.79405671  0.49225062
                  0.89497125 -0.44152504  0.06388988
                  0.26807317  0.41776711 -0.86810553
 Translation  :     -10.2088     77.4156   -134.1709


C to A
 Rotation     :   0.09560259 -0.50114429 -0.86006665
                 -0.34010872  0.79558092 -0.50137526
                  0.93551391  0.34044895 -0.09438394
 Translation  :      -8.9288    -51.8938    -75.9142

LSQKAB

A to B
ROTATION MATRIX:
            0.35660  0.89497  0.26807
            0.79406 -0.44152  0.41777
            0.49225  0.06389 -0.86811
  TRANSLATION VECTOR IN AS  -29.67671  98.33947 -116.39539

  CROWTHER ALPHA BETA GAMMA     57.31251   150.23941   172.60495

A to C
ROTATION MATRIX:
            0.09560 -0.34011  0.93551
           -0.50114  0.79558  0.34045
           -0.86007 -0.50137 -0.09438
  TRANSLATION VECTOR IN AS   54.22293  62.65603 -40.86268

  CROWTHER ALPHA BETA GAMMA     19.99734    95.41594   -30.24002

B to A
ROTATION MATRIX:
            0.35660  0.79406  0.49225
            0.89497 -0.44152  0.06389
            0.26807  0.41777 -0.86811
  TRANSLATION VECTOR IN AS  -10.20886  77.41563 -134.17094

crowther alpha beta gamma 7.39520 150.23941 122.68763


C to A
ROTATION MATRIX:
            0.09560 -0.50114 -0.86007
           -0.34011  0.79558 -0.50137
            0.93551  0.34045 -0.09438
  TRANSLATION VECTOR IN AS   -8.92881 -51.89373 -75.91429

crowther alpha beta gamma 30.24002 -95.41593 -19.99773

-------------------------------------------------
Huiying Li, Ph. D
Department of Molecular Biology and Biochemistry
Natural Sciences I, Rm 2443
University of California at Irvine
Irvine, CA 92697, USA
Tel: 949-824-4322(or -1953);  Fax: 949-824-3280
email: [EMAIL PROTECTED]
--------------------------------------------------

On Fri, 13 Jan 2006, Ian Tickle wrote:

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***          CCP4 home page http://www.ccp4.ac.uk         ***



Maybe it's an NCS 2-fold?  A 2-fold rotation matrix is its own
inverse/transpose (because you get the same result rotating +180 as
-180, which is obviously not true for any other axis order) so the CCP4
& O matrices would be the same for that special case!

-- Ian

-----Original Message-----
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] On
Behalf Of Gerard DVD Kleywegt
Sent: 13 January 2006 09:32
To: Huiying Li
Cc: CCP4 Bulletin Board; Gerard Kleywegt
Subject: Re: [ccp4bb]: DM and rotation matrix convention

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***          CCP4 home page http://www.ccp4.ac.uk         ***


A related issue is the rotation matrix convention. I recall the
matrices given by LSQMAN and LSKAB were used to be

transposed to each

other. But this time I found they were identical for the same NCS
transformation. Has one of these two programs changed its

convention lately?

http://xray.bmc.uu.se/usf/lsqman_man.html#H8

--dvd

******************************************************************
                         Gerard J.  Kleywegt
     [Research Fellow of the Royal  Swedish Academy of
Sciences] Dept. of Cell & Molecular Biology  University of Uppsala
                 Biomedical Centre  Box 596
                 SE-751 24 Uppsala  SWEDEN

     http://xray.bmc.uu.se/gerard/  mailto:[EMAIL PROTECTED]
******************************************************************
    The opinions in this message are fictional.  Any similarity
    to actual opinions, living or dead, is purely coincidental.
******************************************************************




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