The accurate ground-state potential energy function of beryllium monohydride, BeH, has been determined from large-scale ab initio calculations using the multi-reference averaged coupled-pair functional (MR-ACPF) method in conjunction with the correlation-consistent core-valence basis sets up to septuple-zeta quality. The effects of electron correlation beyond the MR-ACPF level of approximation were taken into account. The scalar relativistic and adiabatic (the diagonal correction) effects, as well as some of the nonadiabatic effects, were also discussed. The vibration-rotation energy levels of three isotopologues, BeH, BeD, and BeT, were predicted to sub-cm−1 accuracy.
REFERENCES
1.
R. J.
Le Roy
, D. R. T.
Appadoo
, R.
Colin
, and P. F.
Bernath
, J. Mol. Spectrosc.
236
, 178
(2006
).2.
P. E.
Cade
and W. M.
Huo
, J. Chem. Phys.
47
, 614
(1967
).3.
A. C. H.
Chan
and E. R.
Davidson
, J. Chem. Phys.
49
, 727
(1968
).4.
C. F.
Bender
and E. R.
Davidson
, Phys. Rev.
183
, 23
(1969
).5.
M.
Jungen
and R.
Ahlrichs
, Theor. Chim. Acta
17
, 339
(1970
).6.
R. S.
Mulliken
, Int. J. Quantum Chem.
S5
, 95
(1971
).7.
H. E.
Popkie
, J. Chem. Phys.
54
, 4597
(1971
).8.
P. S.
Bagus
, C. M.
Moser
, P.
Goethals
, and G.
Verhaegen
, J. Chem. Phys.
58
, 1886
(1973
).9.
G.
Gerratt
and M.
Raimondi
, Proc. R. Soc. London, Ser. A
371
, 525
(1980
).10.
D. L.
Cooper
, J. Chem. Phys.
80
, 1961
(1984
).11.
M.
Larsson
, J. Chem. Phys.
81
, 6409
(1984
).12.
M.
Larsson
, Phys. Scr.
32
, 97
(1985
).13.
C.
Henriet
and G.
Verhaegen
, Phys. Scr.
33
, 299
(1986
).14.
I. D.
Petsalakis
, G.
Theodorakopoulos
, and C. A.
Nicolaides
, J. Chem. Phys.
97
, 7623
(1992
).15.
X.
Li
and J.
Paldus
, J. Chem. Phys.
102
, 2013
(1995
).16.
J. M. L.
Martin
, Chem. Phys. Lett.
283
, 283
(1998
).17.
F. B. C.
Machado
, O.
Roberto-Neto
, and F. R.
Ornellas
, Chem. Phys. Lett.
284
, 293
(1998
).18.
I. D.
Petsalakis
, D.
Papadopoulos
, G.
Theodorakopoulos
, and R. J.
Buenker
, J. Phys. B
32
, 3225
(1999
).19.
H.
Meissner
and J.
Paldus
, J. Chem. Phys.
113
, 2622
(2000
).20.
M. P.
Fülscher
and L.
Serrano-Andrés
, Mol. Phys.
100
, 903
(2002
).21.
P. J.
Bruna
and F.
Grein
, Phys. Chem. Chem. Phys.
5
, 3140
(2003
).22.
S.
Bubin
and L.
Adamowicz
, J. Chem. Phys.
126
, 214305
(2007
).23.
J.
Pitarch-Ruiz
, J.
Sánchez-Marin
, and A. M.
Velasco
, J. Comput. Chem.
29
, 523
(2008
).24.
J.
Pitarch-Ruiz
, J.
Sánchez-Marin
, A. M.
Velasco
, and I.
Martin
, J. Chem. Phys.
129
, 054310
(2008
).25.
R. J.
Gdanitz
and R.
Ahlrichs
, Chem. Phys. Lett.
143
, 413
(1988
).26.
R. J.
Gdanitz
, Int. J. Quantum Chem.
85
, 281
(2001
).27.
H.-J.
Werner
and P. J.
Knowles
, J. Chem. Phys.
89
, 5803
(1988
).28.
B. P.
Prascher
, D. E.
Woon
, K. A.
Peterson
, T. H.
Dunning
Jr., and A. K.
Wilson
, Theor. Chem. Acc.
128
, 69
(2011
).29.
J.
Koput
and K. A.
Peterson
, J. Chem. Phys.
125
, 044306
(2006
).30.
J.
Koput
, Phys. Chem. Chem. Phys.
13
, 20311
(2011
).31.
T. H.
Dunning
Jr., J. Chem. Phys.
90
, 1007
(1989
).32.
K. A.
Peterson
, D. E.
Woon
, and T. H.
Dunning
Jr., J. Chem. Phys.
100
, 7410
(1994
).33.
D.
Feller
, J. Comput. Chem.
17
, 1571
(1996
).34.
H.-J.
Werner
, P. J.
Knowles
, F. R.
Manby
, M.
Schütz
, et al, MOLPRO, version 2010.1, a package of ab initio programs, 2010, see http://www.molpro.net.35.
J.
Komasa
, W.
Cencek
, and J.
Rychlewski
, Phys. Rev.
52
, 4500
(1995
).36.
DALTON, a molecular electronic structure program, Release 2.0 (
2005
), see http://www.kjemi.uio.no/software/dalton/dalton.html.37.
J. W.
Cooley
, Math. Comput.
15
, 363
(1961
).38.
F.
Bernardi
and S. F.
Boys
, Mol. Phys.
19
, 553
(1970
).39.
P. J.
Knowles
and N. C.
Handy
, Chem. Phys. Lett.
111
, 315
(1984
).40.
M.
Douglas
and N. M.
Kroll
, Ann. Phys. (N.Y.)
82
, 89
(1974
).41.
M.
Reiher
and A.
Wolf
, J. Chem. Phys.
121
, 10945
(2004
).42.
N. C.
Handy
, Y.
Yamaguchi
, and H. F.
Schaefer
III, J. Chem. Phys.
84
, 4481
(1986
).43.
E. F.
Valeev
and C. D.
Sherrill
, J. Chem. Phys.
118
, 3921
(2003
).44.
J.
Gauss
, A.
Tajti
, M.
Kállay
, J. F.
Stanton
, and P. G.
Szalay
, J. Chem. Phys.
125
, 144111
(2006
).45.
J.
Olsen
, B. O.
Roos
, P.
Jørgensen
, and H. J. Aa.
Jensen
, J. Chem. Phys.
89
, 2185
(1988
).46.
T. D.
Crawford
, C. D.
Sherrill
, E. F.
Valeev
, J. T.
Fermann
, R. A.
King
, M. L.
Leininger
, S. T.
Brown
, C. L.
Janssen
, E. T.
Seidl
, J. P.
Kenny
, and W. D.
Allen
, J. Comput. Chem.
28
, 1610
(2007
).47.
CFOUR, a quantum chemical program package written by
J. F.
Stanton
, J.
Gauss
, M. E.
Harding
, P. G.
Szalay
, with contributions from A. A.
Auer
, R. J.
Bartlett
, U.
Benedikt
, C.
Berger
, D. E.
Bernholdt
, Y. J.
Bomble
, L.
Cheng
, O.
Christiansen
, M.
Heckert
, O.
Heun
, C.
Huber
, T.-C.
Jagau
, D.
Jonsson
, J.
Jusélius
, K.
Klein
, W. J.
Lauderdale
, D. A.
Matthews
, T.
Metzroth
, L. A.
Mück
, D. P.
O’Neill
, D. R.
Price
, E.
Prochnow
, C.
Puzzarini
, K.
Ruud
, F.
Schiffmann
, W.
Schwalbach
, S.
Stopkowicz
, A.
Tajti
, J.
Vázquez
, F.
Wang
, J. D.
Watts
and the integral packages MOLECULE (J.
Almlöf
and P. R.
Taylor
), PROPS (P. R.
Taylor
), ABACUS (T.
Helgaker
, H. J. Aa.
Jensen
, P.
Jørgensen
, and J.
Olsen
), and ECP routines by A. V.
Mitin
and C.
van Wüllen
. For the current version, 2011
, see http://www.cfour.de.48.
See supplementary material at http://dx.doi.org/10.1063/1.3671610 for the DBOC values predicted for the BeH, BeD, and BeT isotopologues at the RAS CI/aug-cc-pCVTZ level of theory.
49.
For example, the values of Tv (calculated relative to the extrapolated v = −1/2 energy level), Bv, and Dv × 103 for the v = 11 state of the BeH isotopologue are given in Table 10 of Ref. 1 to be 17424.3, 4.0486, and 5.55 cm−1, respectively, while in the supplementary data for that article, the corresponding values are quoted to be 17434.06, 4.26816, and 4.295 cm−1, respectively.
50.
J.
Gauss
, K.
Ruud
, and T.
Helgaker
, J. Chem. Phys.
105
, 2804
(1996
).51.
R. M.
Herman
and A.
Asgharian
, J. Mol. Spectrosc.
19
, 305
(1966
).52.
P. R.
Bunker
and R. E.
Moss
, Mol. Phys.
33
, 417
(1977
).53.
J. K. G.
Watson
, J. Mol. Spectrosc.
80
, 411
(1980
).© 2011 American Institute of Physics.
2011
American Institute of Physics
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