Why does it matter what the exact translation is -- the exact origin? 
Why not just arbitrarily assign (0,0,0) to A0'?

Bob


Timothy Driscoll wrote:

>On May 11, 2007, at 2:09 PM, Bob Hanson wrote:
>
>  
>
>>>original
>>>  ATOM 1    ATOM 2    d(2-1)    M*d
>>>x  3.95      3.86     -0.08     -1.25
>>>y 38.05     36.58     -1.48      0.59
>>>z 17.44     17.32     -0.11      0.53
>>>
>>>
>>>transformed
>>>  ATOM 1    ATOM 2    d(2-1)
>>>x 52.94     51.69     -1.25
>>>y 50.01     50.6       0.59
>>>z 89.41     89.95      0.53
>>>
>>>
>>>that's good, but now I'm stuck.  unapplying the translation does not
>>>get me to the transformed coords.  this makes me think that...
>>>
>>>
>>>      
>>>
>>Since M*(a2-a1) = (a2'-a1'), you simply add ATOM 1 coordinates now to
>>that and get the transformed coordinates.
>>
>>That is, calling A an initial coordinate, A' its transformed  
>>coordinate,
>>A0 the coordinate (3.95, 38.05, 17.44) and A0' (52.94, 50.01, 89.41),
>>you have:
>>
>>A' = A0' + M*(A - A0)
>>
>>I think it probably doesn't matter what you use for A0'.
>>
>>Maybe I've lost the purpose of doing all this....
>>
>>    
>>
>
>ack, but I won't know A0' when I do this for real.
>
>I'm trying to get from the original coords and the matrix, to the  
>transformed coordinates. (in this particular case, I do know the  
>transformed coordinates, but only because I'm trying to work out the  
>equations. normally I will not know them in advance.)
>
>
>
>tim
>  
>


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