
















Gallium














Introduction














In
the Table that follows, RSD is the residual standard deviation of the
linear regression analysis of the calculated efg's versus the
experimental nqcc's for the molecules given on the previous
page.
This may be taken as a conservative estimate of the
uncertainty
in the calculated nqcc's. (Note: A RSD of 0.67 MHz is 1.0 %
of
the
average absolute experimental nqcc for the molecules used for
calibration.) All three diagonal components of the efg
tensors
are plotted against the corresponding components of the experimental
nqcc tensors. This assures, because the tensors are traceless, that the
linear regression line pass through the origin. The slope of
this
line is eQ_{eff}/h from which the value
of Q_{eff} is extracted. Q_{eff}
is the model
dependent nuclear electric quadrupole moment effective
for calculation of the nqcc's. For comparison, the currently
recommended Q for ^{69}Ga
is 171(2) mb.
It is our goal to reproduce accurately as well as efficiently
the
experimental nqcc's  not Q. It is sufficient  indeed, all that can be
expected at the level of theory in this work  that Q_{eff}
and
Q agree to within a few percent. 













Dunning
correlation consistent basis sets used here were obtained from the
online EMSL Basis Set Library. 













Polarization
and diffuse functions used with the Alhrichs TZV bases are those
developed for use with the Pople type bases. The 6311+G(2d)
and
TZV+(2d) bases, for example, contain the same polarization and diffuse
functions 
same exponents and coefficients. 


















Table
1. Calibration RSD (MHz) and
Q_{eff} (mb). 





HF/Basis

RSD

Q_{eff}






6311+G(d) ......................................... 
0.67 
169.09(41) 

6311G(d) 
0.52 
166.12(32) 

6311+G(2d) ......................................... 
0.44 
167.35(26) 

6311G(2d) 
0.31 
165.98(19) 

6311+G(3d) ......................................... 
0.39 
167.30(24) 

6311G(3d) 
0.36 
166.37(22) 

6311+G(df) ......................................... 
0.95 
164.84(57) 

6311G(df) 
0.66 
164.00(38) 

6311+G(2df) ......................................... 
0.66 
167.09(40) 

6311G(2df) 
0.41 
165.67(25) 

6311+G(3df) ......................................... 
0.67 
166.15(40) 

6311G(3df) 
0.43 
165.15(25) 





TZVP 
0.52 
173.32(33) 

TZV+(2d) 
0.41 
173.69(26) 

TZV(2d) 
0.31 
172.97(19) 

TZV+(3d) 
0.51 
173.02(32) 

TZV(3d) 
0.49 
172.56(30) 





augccpVDZ(EMSL) 
1.44 
214.5(11) 

augccpVTZ(EMSL) 
0.61 
187.03(41) 

augccpVQZ(EMSL) 
0.57 
187.09(38) 

ccpVDZ(EMSL) 
1.01 
211.70(77) 

ccpVTZ(EMSL) 
0.52 
185.98(35) 

ccpVQZ(EMSL) 
0.64 
186.97(43) 


















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of Contents







Molecules/Gallium

















