Although the (n + 1)p orbital is unoccupied in transition-metal ground
-state configurations which are all nd(x)(n + 1)s(y), these (n + 1)p f
unctions play a crucial role in the structure of transition metal comp
lexes. As we show here, the usual solution, adding one or more diffuse
functions, can be insufficient to create an orbital of the correct en
ergy. The major problem appears to be due to the incorrect placement o
f the (n + 1)p orbital's node. Even splitting the most diffuse compone
nt of the np orbital and adding a second diffuse function does not com
pletely solve this problem. Although one can usually solve this defici
ency by further uncontracting of the np function, here we offer a set
of properly optimized (n + 1)p functions that offer a more compact and
satisfactory solution to the proper placements of the node. We show a
n example of the common deficiencies seen in typical basis sets, inclu
ding standard basis sets in GAUSSIAN94, and show that the new optimize
d (n + 1)p function performs well compared to a fully uncontracted bas
is set. (C) 1996 by John Wiley & Sons, Inc.