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[½»Á÷] ¡¾ÇóÖú¡¿ËãAIMʱÓÐÈç´ËÐÅÏ¢ÑÏÖØÃ´£¿Significant integration error for the following

AIMµÄsumÎļþÀï³£³£»á¼ûµ½ÕâÑùµÄÐÅÏ¢£ºSignificant integration error for the following atom

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Ideally, calculated atomic L(A) values should be zero and the sum of any calculated atomic property over all atoms in a molecule should of course equal the known molecular value.  In practice, there will always be some numerical integration errors, usually related to the complexity of atomic surfaces.


A "Warning!  Significant ... integration error ..." message will be written to the sum file if any of the following occurs:

The magnitude of atom A's calculated L(A) value is > 0.01 au.
The magnitude of the sum of all calculated L(A) values is > 0.01 au.
The magnitude of the difference between the actual molecular charge and the sum of all calculated atomic charges q(A) is > 0.01 au.
A "Note.  Potentially significant ... integration error ..." message will be written to the sum file if any of the following occurs:

The magnitude of atom A's calculated L(A) value is > 0.002 au and < 0.01 au.
The magnitude of the sum of all calculated L(A) values is > 0.002 au and < 0.01 au.
The magnitude of the difference between the actual molecular charge and the sum of all calculated atomic charges q(A) is > 0.002 au and < 0.01 au.
The threshold values of 0.01 au for "Significant" and 0.002 au for "Potentially significant" integration errors are reasonable, but may be too conservative or not conservative enough depending on one's purposes.

Note that it is possible (but not likely) that a calculated atomic L(A) value can be fortuituously small in magnitude due to a cancellation of errors.


Users are always advised to monitor themselves the sums of calculated atomic properties as well as the individual calculated L(A) values, and be prepared to recalculate "problem atoms" using higher quadrature and / or a different atomic integration algorithm.  The README file gives a few examples of recalculating "problem atoms".

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