Based on a new criterion that was proposed to search for the universality of spectroscopic constants for bound ground-state diatomics [R. H. Xie and P. S. Hsu, Phys. Rev. Lett.96, 243201 (2006)], we have found universal scaling relations between spectroscopic constants of diatomic systems with s-, p-, and d-type valence-shell constituents. Our study suggests a useful empirical approach for the prediction of molecular spectroscopic constants.

1.
J.
Goodisman
,
Diatomic Interaction Potential Theory
(
Academic
,
New York
,
1973
), Vols.
1
and
2
.
2.
Y. P.
Varshni
,
Rev. Mod. Phys.
29
,
664
(
1957
).
3.
J. H.
Rose
,
J.
Ferrante
, and
J. R.
Smith
,
Phys. Rev. Lett.
47
,
675
(
1981
).
4.
J.
Ferrante
,
J. R.
Smith
, and
J. H.
Rose
,
Phys. Rev. Lett.
50
,
1385
(
1983
).
5.
J. L.
Graves
and
R. G.
Parr
,
Phys. Rev. A
31
,
1
(
1985
).
6.
K. S.
Jhung
,
I. H.
Kim
,
K. B.
Hahn
, and
K. H.
Oh
,
Phys. Rev. A
40
,
R7409
(
1989
).
7.
J.
Tellinghuisen
,
S. D.
Henderson
,
D.
Austin
,
K. P.
Lawley
, and
R. J.
Donovan
,
Phys. Rev. A
39
,
925
(
1989
).
9.
G. R.
Freeman
,
N. H.
March
, and
L.
von Szentpaly
,
J. Mol. Struct.
394
,
11
(
1997
).
10.
G.
van Hooydonk
,
Eur. J. Inorg. Chem.
1617
(
1999
).
11.
R. H.
Xie
and
P. S.
Hsu
,
Phys. Rev. Lett.
96
,
243201
(
2006
).
12.
13.
G. B. B. M.
Sutherland
,
Proc. Indian Acad. Sci., Sect. A
8
,
341
(
1938
).
14.
R. H.
Xie
and
J. B.
Gong
,
Phys. Rev. Lett.
95
,
263202
(
2005
).
15.
See EPAPS Document No. E-JCPSA6-125-010636 for supporting materials of Fig. A and Tables 1, 2, and 3. This document can be reached via a direct link in the online article’s HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html).
16.
K. P.
Huber
and
G.
Herzberg
,
Constants of Diatomic Molecules
,
Molecular Spectra and Molecular Structure
Vol.
IV
(
Van Nostrand Reinhold
,
New York
,
1979
).

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