Effects of increased basis-set size as well as a correlated treatment of the diagonal Born-Oppenheimer approximation are studied within the context of the high-accuracy extrapolated ab initio thermochemistry (HEAT) theoretical model chemistry. It is found that the addition of these ostensible improvements does little to increase the overall accuracy of HEAT for the determination of molecular atomization energies. Fortuitous cancellation of high-level effects is shown to give the overall HEAT strategy an accuracy that is, in fact, higher than most of its individual components. In addition, the issue of core-valence electron correlation separation is explored; it is found that approximate additive treatments of the two effects have limitations that are significant in the realm of <1kJmol1 theoretical thermochemistry.

1.
F. D.
Rossini
,
J. Res. Natl. Bur. Stand.
6
,
1
(
1931
).
2.
J. D.
Cox
,
D. D.
Wagman
, and
V. A.
Medvedev
,
CODATA Key Values for Thermochemistry
(
Hemisphere
,
New York
,
1989
).
3.
M. W.
Chase
,
C. A.
Davies
,
J. R.
Downey
, Jr.
,
D. J.
Frurip
,
R. A.
McDonald
, and
A. N.
Syverud
,
J. Phys. Chem. Ref. Data
14
,
1
(
1985
).
4.
L. V.
Gurvich
,
I. V.
Veyts
, and
C. B.
Alcock
,
Thermodynamic Properties of Individual Substances
(
Hemisphere
,
New York
,
1989
), Vol.
1
, Pts. 1 and 2;
ibid.
(
Hemisphere
,
New York
,
1991
), Vol.
2
, Pts. 1 and 2;
ibid.
(
Begell House
,
New York
,
1996
), Vol.
3
, Pts. 1 and 2.
5.
A. G.
Császár
,
W. D.
Allen
, and
H. F.
Schaefer
 III
,
J. Chem. Phys.
108
,
9751
(
1998
).
6.
J. M. L.
Martin
and
G.
de Oliveira
,
J. Chem. Phys.
111
,
1843
(
1999
).
7.
A. D.
Boese
,
M.
Oren
,
O.
Atasoylu
,
J. M. L.
Martin
,
M.
Kállay
, and
J.
Gauss
,
J. Chem. Phys.
120
,
4129
(
2004
).
8.
A.
Karton
,
E.
Rabinovich
,
J. M. L.
Martin
, and
B.
Ruscic
,
J. Chem. Phys.
125
,
144108
(
2006
).
9.
A.
Tajti
,
P. G.
Szalay
,
A. G.
Császár
,
M.
Kállay
,
J.
Gauss
,
E. F.
Valeev
,
B. A.
Flowers
,
J.
Vázquez
, and
J. F.
Stanton
,
J. Chem. Phys.
121
,
11599
(
2004
).
10.
Y. J.
Bomble
,
J.
Vázquez
,
M.
Kállay
,
C.
Michauk
,
P. G.
Szalay
,
A. G.
Császár
,
J.
Gauss
, and
J. F.
Stanton
,
J. Chem. Phys.
125
,
064108
(
2006
).
11.
K.
Raghavachari
,
G. W.
Trucks
,
J. A.
Pople
, and
M.
Head-Gordon
,
Chem. Phys. Lett.
157
,
479
(
1989
).
12.
D.
Feller
,
J. Chem. Phys.
96
,
6104
(
1992
).
13.
T.
Helgaker
,
W.
Klopper
,
H.
Koch
, and
J.
Noga
,
J. Chem. Phys.
106
,
9639
(
1997
).
14.
B.
Ruscic
,
R. E.
Pinzon
,
M. L.
Morton
,
G.
von Laszevski
,
S. J.
Bittner
,
S. G.
Nijsure
,
K. A.
Amin
,
M.
Minkoff
, and
A. F.
Wagner
,
J. Phys. Chem. A
108
,
9979
(
2004
);
B.
Ruscic
,
R. E.
Pinzon
,
G.
von Laszewski
,
D.
Kodeboyina
,
A.
Burcat
,
D.
Leahy
,
D.
Montoya
, and
A. F.
Wagner
,
J. Phys.: Conf. Ser.
16
,
561
(
2005
);
B.
Ruscic
,
R. E.
Pinzon
,
M. L.
Morton
,
N. K.
Srinivasan
,
M.-C.
Su
,
J. W.
Sutherland
, and
J. V.
Michael
,
J. Phys. Chem. A
110
,
6592
(
2006
).
[PubMed]
15.
J.
Gauss
,
A.
Tajti
,
M.
Kállay
,
J. F.
Stanton
, and
P. G.
Szalay
,
J. Chem. Phys.
125
,
144111
(
2006
).
16.

It is important to realize here that this statement refers to total electronic energies, i.e., which is equal to the sum of successive ionization potentials. This, of course, is even more demanding than the total atomization energies, as the error cancellation between nonbonding and, especially, core electrons in an atomization energy scheme is not operative. This is why the estimated error bar is so much greater than that associated with TAEs.

17.
T. H.
Dunning
, Jr.
,
J. Chem. Phys.
90
,
1007
(
1989
).
18.
A. K.
Wilson
,
T.
van Mourik
, and
T. H.
Dunning
, Jr.
,
J. Mol. Struct.: THEOCHEM
388
,
339
(
1998
).
19.
R. A.
Kendall
,
T. H.
Dunning
, Jr.
, and
R. J.
Harrison
,
J. Chem. Phys.
96
,
6796
(
1992
).
20.
T.
van Mourik
,
Mol. Phys.
96
,
529
(
1999
).
21.
D. E.
Woon
and
T. H.
Dunning
, Jr.
,
J. Chem. Phys.
103
,
4572
(
1995
).
22.
J.
Noga
and
R. J.
Bartlett
,
J. Chem. Phys.
86
,
1041
(
1987
);
G. E.
Scuseria
and
H. F.
Schaefer
,
Chem. Phys. Lett.
132
,
382
(
1988
);
J. D.
Watts
and
R. J.
Bartlett
,
J. Chem. Phys.
93
,
6104
(
1993
).
23.
Y.
Bomble
,
M.
Kállay
,
J.
Gauss
, and
J. F.
Stanton
,
J. Chem. Phys.
123
,
054101
(
2005
).
24.
M.
Kállay
and
J.
Gauss
,
J. Chem. Phys.
123
,
214105
(
2005
).
25.
J. F.
Stanton
and
E. F.
Valeev
(unpublished).
26.
ACESII Mainz-Austin-Budapest, Version 2006, a package of ab initio programs.
J. F.
Stanton
,
J.
Gauss
,
J. D.
Watts
,
P. G.
Szalay
,
R. J.
Bartlett
,
A. A.
Auer
,
D. E.
Bernholdt
,
O.
Christiansen
,
M. E.
Harding
,
M.
Heckert
,
O.
Heun
,
C.
Huber
,
D.
Jonsson
,
J.
Jusélius
,
W. J.
Lauderdale
,
F.
Schiffmann
,
A.
Tajti
,
M. E.
Varner
,
J.
Vázquez
;
the integral packagesMOLECULE (J. Almlöf and P. R. Taylor); PROPS (P.R. Taylor); ABACUS (T. Helgaker, H. J. Aa. Jensen, P. Jørgensen, and J. Olsen). For current version, see www.aces2.de.
27.
M.
Kállay
and
P. R.
Surján
,
J. Chem. Phys.
115
,
2945
(
2001
);
for the current version, see http://www.mrcc.hu.
28.
M. E.
Harding
,
T.
Metzroth
,
J.
Gauss
, and
A. A.
Auer
,
J. Chem. Theory Comput.
4
,
6474
(
2008
).
29.
S. A.
Kucharski
and
R. J.
Bartlett
,
Theor. Chim. Acta
80
,
387
(
1991
);
S. A.
Kucharski
and
R. J.
Bartlett
,
J. Chem. Phys.
97
,
4282
(
1992
);
N.
Oliphant
and
L.
Adamowicz
,
J. Chem. Phys.
94
,
1229
(
1991
).
30.
M.
Kallay
and
P.
Surjan
,
J. Chem. Phys.
115
,
2945
(
2001
).
31.
W.
Klopper
,
F. R.
Manby
,
S.
Ten-No
, and
E. F.
Valeev
,
Int. Rev. Phys. Chem.
25
,
427
(
2006
).
32.
D. W.
Schwenke
,
J. Chem. Phys.
122
,
014107
(
2005
).
33.
For an authoritative reference, see
W.
Kutzelnigg
,
Mol. Phys.
90
,
909
(
1997
).
34.
N. C.
Handy
,
Y.
Yamaguchi
, and
H. F.
Schaefer
 III
,
J. Chem. Phys.
84
,
4481
(
1986
).
35.

All ATcT results reported in this paper are based on the Core (Argonne) Thermochemical Network Version 1.064, 2007.

36.
It may be of some interest to readers that the correlation energy is itself potentially determinable by experiment. See
R. M.
Gavin
and
L. S.
Bartell
,
J. Chem. Phys.
45
,
4700
(
1966
).
37.
For reasons of simplicity, all ZPEs, with the exception of OF, were calculated from spectroscopic constants given in
K.-P.
Huber
and
G.
Herzberg
,
Molecular Spectra and Molecular Structure IV. Constants of Diatomic Molecules
(
Van Nostrand Reinhold
,
New York
,
1979
).
For several diatomic molecules discussed here, there are newer and more accurate spectroscopic data, but the resulting ZPEs would differ by 0.1cm1 or less. For OF, the spectroscopic constants are from
C. E.
Miller
and
B. J.
Drouin
,
J. Mol. Spectrosc.
205
,
312
(
2001
).
[PubMed]
All ZPEs include the Dunham Y00 term and, where needed, additional correction that reflect spin orbit effects and rotational/nuclear statistics.
38.
C. E.
Moore
,
Atomic Energy Levels, Natl. Bur. Stand. (U.S.) Circ. No. NSRDS-NBS-35
(
U.S. Gp.
, Washington, DC,
1970
), Vol.
1
.
39.
A.
Karton
,
P. R.
Taylor
, and
J. M. L.
Martin
,
J. Chem. Phys.
127
,
064104
(
2007
).
40.
The lowest rotational (F1) term for an inverted (negative value of the spin-orbit coupling constant, A0) Π322 state is given by the equation B0(312[16+Y0(Y04)]12(81D016)), where B0 and D0 are the ground-state rotational and centrifugal distortion constants, respectively, and YA0B0. For details, see
G.
Herzberg
,
Spectra of Diatomic Molecules
, 2nd ed., 12th Printing (
Van Nostrand
,
Princeton, NJ
,
1950
), Eqs. (5) and 28, p.
232
.
41.

Technically, this is not an ab initio result, as is the HEAT456-QP value of 425.92kJmol1, since experimental information has been used. It is, nonetheless, the best result that can be determined by “theory,” as the other contributions to the atomization energy used in the HEAT approach are not experimental observables.

42.
L.
Bytautas
and
K.
Ruedenberg
,
J. Chem. Phys.
122
,
014107
(
2005
).
43.
A. G.
Csaszar
and
I. M.
Mills
,
Spectrochim. Acta, Part A
53
,
1101
(
1997
).
44.

This argument applies only to the electronic energy contribution and not to the zero-point energy, which presents a different set of problems.

45.
See, for example,
S. E.
Wheeler
,
W. D.
Allen
, and
H. F.
Schaefer
,
J. Chem. Phys.
121
,
8800
(
2004
);
[PubMed]
M. S.
Schuurman
,
S. R.
Muir
,
W. D.
Allen
, and
H. F.
Schaefer
,
J. Chem. Phys.
120
,
11586
(
2004
).
[PubMed]
You do not currently have access to this content.