Hi Dale,

Thank you for your reply! Yes, the real term of all eigenvalues are very
close to 1, and as I said in the previous email they matches a 2-fold
rotational matrix. But I am just curious, would you mind if you give me a
little bit of hint on what the imaginary space represent?

Thank you so much,
Chen

On Mon, Sep 22, 2014 at 1:26 PM, Dale Tronrud <[email protected]> wrote:

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> On 9/22/2014 10:10 AM, Chen Zhao wrote:
> > Hi all,
> >
> > I have a follow-up question here. I calculated the eigenvalues and
> > the eigenvectors and some of them have imaginary terms. The real
> > terms of the eigenvalues match a 2-fold rotation, but I am just
> > wondering what the imaginary terms represent. It's been quite a
> > while since I studied linear algebra.
> >
>
>    The eigenvalues for a rotation matrix will have one that is real
> and the other two complex.  The eigenvector that corresponds to the
> real value is the rotation axis.  The other two are not useful for
> your purpose.
>
>    By the way, that real eigenvalue has better be equal to one!
>
> Dale Tronrud
>
> > Thank you so much, Chen
> >
> > On Mon, Sep 22, 2014 at 10:41 AM, Philip Kiser <[email protected]
> > <mailto:[email protected]>> wrote:
> >
> > Cool. Glad to help.
> >
> > On Mon, Sep 22, 2014 at 10:34 AM, Chen Zhao <[email protected]
> > <mailto:[email protected]>> wrote:
> >
> > Dear Philip,
> >
> > Please forgive me! Yes it is eigenvectors that I am looking for. I
> > was deriving myself and came to the conclusion that R=A^(-1)R'A,
> > but I just forgot it is eigenvectors, and I forgot what the
> > eigenvector is originally for. Thank you so much!
> >
> > Sincerely, Chen
> >
> > On Mon, Sep 22, 2014 at 10:22 AM, Philip Kiser <[email protected]
> > <mailto:[email protected]>> wrote:
> >
> > Hi Chen,
> >
> > Wouldn't the fold of the NCS be clear from the PDB file? You could
> > use superpose to superimpose one monomer onto the next member of
> > the NCS group, and then take the rotation matrix output from that
> > program to calculate the eigenvectors for the transformation. The
> > NCS axis is parallel to one of those eigenvectors.
> >
> > Philip
> >
> > Philip
> >
> > On Mon, Sep 22, 2014 at 10:13 AM, Chen Zhao <[email protected]
> > <mailto:[email protected]>> wrote:
> >
> > Dear all,
> >
> > Is there a software that can print out the position and the fold of
> > a NCS rotational axis from a PDB file? (just something like molrep
> > self-rotation on a reflection file) I cannot use molrep because the
> > RMSD between the two copies are too high, and I just want to cut a
> > certain region for calculation. I don't know whether calculated Fc
> > from the truncated PDB works in molrep self-RF, but I am thinking
> > whether there is a more straightforward way.
> >
> > Thanks a lot in advance!
> >
> > Sincerely, Chen
> >
> >
> >
> >
> >
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