A four-dimensional potential energy surface (PES) for the interaction between a rigid carbon dioxide molecule and a rigid nitrogen molecule was constructed based on quantum-chemical ab initio calculations up to the coupled-cluster level with single, double, and perturbative triple excitations. Interaction energies for a total of 1893 points on the PES were calculated using the counterpoise-corrected supermolecular approach and basis sets of up to quintuple-zeta quality with bond functions. The interaction energies were extrapolated to the complete basis set limit, and an analytical site–site potential function with seven sites for carbon dioxide and five sites for nitrogen was fitted to the interaction energies. The CO2—N2 cross second virial coefficient as well as the dilute gas shear viscosity, thermal conductivity, and binary diffusion coefficient of CO2—N2 mixtures were calculated for temperatures up to 2000 K to validate the PES and to provide reliable reference values for these important properties. The calculated values are in very good agreement with the best experimental data.

1.
R.
Hellmann
,
E.
Bich
, and
E.
Vogel
,
J. Chem. Phys.
128
,
214303
(
2008
).
2.
R.
Bukowski
,
K.
Szalewicz
,
G. C.
Groenenboom
, and
A.
van der Avoird
,
J. Chem. Phys.
128
,
094313
(
2008
).
3.
K.
Patkowski
,
W.
Cencek
,
P.
Jankowski
,
K.
Szalewicz
,
J. B.
Mehl
,
G.
Garberoglio
, and
A. H.
Harvey
,
J. Chem. Phys.
129
,
094304
(
2008
).
4.
R.
Hellmann
,
E.
Bich
,
E.
Vogel
, and
V.
Vesovic
,
Phys. Chem. Chem. Phys.
13
,
13749
(
2011
).
6.
R.
Hellmann
,
Chem. Phys. Lett.
613
,
133
(
2014
).
7.
J.-P.
Crusius
,
R.
Hellmann
,
E.
Hassel
, and
E.
Bich
,
J. Chem. Phys.
141
,
164322
(
2014
).
8.
R.
Hellmann
,
J. Chem. Eng. Data
63
,
470
(
2018
).
9.
R.
Hellmann
,
J. Chem. Phys.
146
,
114304
(
2017
).
10.
R.
Hellmann
,
E.
Bich
,
E.
Vogel
,
A. S.
Dickinson
, and
V.
Vesovic
,
J. Chem. Phys.
129
,
064302
(
2008
).
11.
R.
Hellmann
,
E.
Bich
,
E.
Vogel
,
A. S.
Dickinson
, and
V.
Vesovic
,
J. Chem. Phys.
130
,
124309
(
2009
).
12.
R.
Hellmann
and
E.
Bich
,
Mol. Phys.
113
,
176
(
2015
).
13.
R.
Hellmann
and
E.
Vogel
,
J. Chem. Eng. Data
60
,
3600
(
2015
).
14.
R.
Hellmann
,
E.
Bich
,
E.
Vogel
, and
V.
Vesovic
,
J. Chem. Phys.
141
,
224301
(
2014
).
15.
R.
Hellmann
,
E.
Bich
, and
V.
Vesovic
,
J. Chem. Phys.
144
,
134301
(
2016
).
16.
R.
Hellmann
,
E.
Bich
, and
V.
Vesovic
,
J. Chem. Thermodyn.
102
,
429
(
2016
).
17.
R.
Hellmann
,
J. Chem. Eng. Data
63
,
246
(
2018
).
18.
S.
Nasri
,
Y.
Ajili
,
N.-E.
Jaidane
,
Y. N.
Kalugina
,
P.
Halvick
,
T.
Stoecklin
, and
M.
Hochlaf
,
J. Chem. Phys.
142
,
174301
(
2015
).
19.
K.
Raghavachari
,
G. W.
Trucks
,
J. A.
Pople
, and
M.
Head-Gordon
,
Chem. Phys. Lett.
157
,
479
(
1989
).
20.
S. F.
Boys
and
F.
Bernardi
,
Mol. Phys.
19
,
553
(
1970
).
21.
F.
Weigend
and
M.
Häser
,
Theor. Chem. Acc.
97
,
331
(
1997
).
22.
F.
Weigend
,
M.
Häser
,
H.
Patzelt
, and
R.
Ahlrichs
,
Chem. Phys. Lett.
294
,
143
(
1998
).
23.
F.
Weigend
,
M.
Kattannek
, and
R.
Ahlrichs
,
J. Chem. Phys.
130
,
164106
(
2009
).
24.
S.
Kossmann
and
F.
Neese
,
Chem. Phys. Lett.
481
,
240
(
2009
).
25.
R. A.
Kendall
,
T. H.
Dunning
, Jr.
, and
R. J.
Harrison
,
J. Chem. Phys.
96
,
6796
(
1992
).
26.
F.
Weigend
,
Phys. Chem. Chem. Phys.
4
,
4285
(
2002
).
27.
F.
Weigend
,
A.
Köhn
, and
C.
Hättig
,
J. Chem. Phys.
116
,
3175
(
2002
).
28.
K.
Patkowski
,
J. Chem. Phys.
138
,
154101
(
2013
).
29.
A.
Halkier
,
T.
Helgaker
,
P.
Jørgensen
,
W.
Klopper
,
H.
Koch
,
J.
Olsen
, and
A. K.
Wilson
,
Chem. Phys. Lett.
286
,
243
(
1998
).
30.
F.
Neese
,
Wiley Interdiscip. Rev.: Comput. Mol. Sci.
2
,
73
(
2012
).
31.
CFOUR, Coupled-Cluster techniques for Computational Chemistry, a quantum-chemical program package by
J. F.
Stanton
,
J.
Gauss
,
M. E.
Harding
, and
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
, and
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, see http://www.cfour.de.
32.
K. T.
Tang
and
J. P.
Toennies
,
J. Chem. Phys.
80
,
3726
(
1984
).
33.
B. L.
Jhanwar
and
W. J.
Meath
,
Chem. Phys.
67
,
185
(
1982
).
34.
T. B.
Adler
,
G.
Knizia
, and
H.-J.
Werner
,
J. Chem. Phys.
127
,
221106
(
2007
).
35.
R. P.
Feynman
and
A. R.
Hibbs
,
Quantum Mechanics and Path Integrals
(
McGraw-Hill
,
New York
,
1965
).
36.
J. K.
Singh
and
D. A.
Kofke
,
Phys. Rev. Lett.
92
,
220601
(
2004
).
37.
B.
Jäger
,
R.
Hellmann
,
E.
Bich
, and
E.
Vogel
,
J. Chem. Phys.
135
,
084308
(
2011
).
38.
A. E.
Edwards
and
W. E.
Roseveare
,
J. Am. Chem. Soc.
64
,
2816
(
1942
).
39.
R. A.
Gorski
and
J. G.
Miller
,
J. Am. Chem. Soc.
75
,
550
(
1953
).
40.
W. C.
Pfefferle
, Jr.
,
J. A.
Goff
, and
J. G.
Miller
,
J. Chem. Phys.
23
,
509
(
1955
).
41.
T. L.
Cottrell
,
R. A.
Hamilton
, and
R. P.
Taubinger
,
Trans. Faraday Soc.
52
,
1310
(
1956
).
42.
D. M.
Mason
and
B. E.
Eakin
,
J. Chem. Eng. Data
6
,
499
(
1961
).
43.
J.
Brewer
, Technical Report No. 67–2795,
AFOSR
,
1967
.
44.
H.-J.
Ng
, M.S. thesis,
University of Alberta
,
Edmonton, Alberta, Canada
,
1971
.
45.
N. P.
Yakimenko
,
G. M.
Glukh
, and
M. B.
Iomtev
,
Zh. Fiz. Khim.
51
,
1566
(
1977
).
46.
M. L.
Martin
,
R. D.
Trengove
,
K. R.
Harris
, and
P. J.
Dunlop
,
Aust. J. Chem.
35
,
1525
(
1982
).
47.
M.
Jaeschke
,
S.
Audibert
,
P.
van Caneghem
,
A. E.
Humphreys
,
R.
Janssen-van Rosmalen
,
Q.
Pellei
,
J. P. J.
Michels
,
J. A.
Schouten
, and
C. A.
ten Seldam
,
GERG Technical Monograph 2
(
Verlag des Vereins Deutscher Ingenieure
,
Düsseldorf
,
1988
), p.
163
.
48.
H. B.
Brugge
,
C.-A.
Hwang
,
W. J.
Rogers
,
J. C.
Holste
,
K. R.
Hall
,
W.
Lemming
,
G. J.
Esper
,
K. N.
Marsh
, and
B. E.
Gammon
,
Physica A
156
,
382
(
1989
).
49.
S.
Jiang
,
Y.
Wang
, and
J.
Shi
,
Fluid Phase Equilib.
57
,
105
(
1990
).
50.
E. S.
Lopatinskiii
,
M. S.
Rozhnov
,
V. I.
Zhdanov
,
S. L.
Parnovskii
, and
Y. N.
Kudrya
,
Zh. Fiz. Khim.
65
,
2060
(
1991
).
51.
J. H.
Dymond
,
K. N.
Marsh
, and
R. C.
Wilhoit
, in
Landolt-Börnstein: Numerical Data and Functional Relationships in Science and Technology: New Series
, Group IV: Physical Chemistry: Virial Coefficients of Mixtures, edited by
M.
Frenkel
and
K. N.
Marsh
(
Springer
,
Berlin–Heidelberg–New York
,
2002
), Vol. 21B, Chap. 2, pp.
80
82
.
52.
M.
Schmidt
and
H.
Lipson
,
Science
324
,
81
(
2009
).
53.
L.
Waldmann
, “
Transporterscheinungen in Gasen von mittlerem Druck
,” in
Handbuch der Physik
, edited by
S.
Flügge
(
Springer-Verlag
,
Berlin
,
1958
), Vol. 12, pp.
295
514
.
54.
L.
Waldmann
and
E.
Trübenbacher
,
Z. Naturforsch. A
17
,
363
(
1962
).
55.
J. H.
Ferziger
and
H. G.
Kaper
,
The Mathematical Theory of Transport Processes in Gases
(
North-Holland
,
Amsterdam
,
1972
).
56.
C. F.
Curtiss
,
J. Chem. Phys.
75
,
1341
(
1981
).
57.
M.
Mustafa
, “
Measurement and calculation of transport properties of polyatomic gases
,” Ph.D. thesis,
Imperial College London
,
London, UK
,
1987
.
58.
F. R. W.
McCourt
,
J. J. M.
Beenakker
,
W. E.
Köhler
, and
I.
Kuščer
,
Nonequilibrium Phenomena in Polyatomic Gases
, Vol. I: Dilute Gases (
Clarendon Press
,
Oxford
,
1990
).
59.
E. L.
Heck
and
A. S.
Dickinson
,
Comput. Phys. Commun.
95
,
190
(
1996
).
60.
A. S.
Dickinson
,
R.
Hellmann
,
E.
Bich
, and
E.
Vogel
,
Phys. Chem. Chem. Phys.
9
,
2836
(
2007
).
61.
R.
Span
and
W.
Wagner
,
J. Phys. Chem. Ref. Data
25
,
1509
(
1996
).
62.
R.
Span
,
E. W.
Lemmon
,
R. T.
Jacobsen
,
W.
Wagner
, and
A.
Yokozeki
,
J. Phys. Chem. Ref. Data
29
,
1361
(
2000
).
63.
E. L.
Heck
and
A. S.
Dickinson
,
Mol. Phys.
81
,
1325
(
1994
).
64.
E.
Vogel
,
Int. J. Thermophys.
33
,
741
(
2012
).
65.
E.
Vogel
,
Int. J. Thermophys.
37
,
63
(
2016
).
66.
J.
Kestin
and
W.
Leidenfrost
,
Physica
25
,
525
(
1959
).
67.
J.
Kestin
,
Y.
Kobayashi
, and
R. T.
Wood
,
Physica
32
,
1065
(
1966
).
68.
G. J.
Gururaja
,
M. A.
Tirunarayanan
, and
A.
Ramachandran
,
J. Chem. Eng. Data
12
,
562
(
1967
).
69.
J.
Kestin
and
S. T.
Ro
,
Ber. Bunsenges. Phys. Chem.
78
,
20
(
1974
).
70.
K.
Humberg
,
M.
Richter
,
J. P. M.
Trusler
, and
R.
Span
,
J. Chem. Thermodyn.
120
,
191
(
2018
).
71.
E.
Vogel
,
C.
Küchenmeister
,
E.
Bich
, and
A.
Laesecke
,
J. Phys. Chem. Ref. Data
27
,
947
(
1998
).
72.
J. W.
Haarman
,
AIP Conf. Proc.
11
,
193
(
1973
).
73.
F. G.
Keyes
,
Trans. ASME
74
,
1303
(
1952
).
74.
J. M.
Davidson
and
J. F.
Music
, Report HW-29021,
Hanford Atomic Products Operation
,
Richland, WA
,
1953
.
75.
R. G.
Vines
,
J. Heat Transfer
82
,
48
(
1960
).
76.
A. A.
Westenberg
and
N.
de Haas
,
Phys. Fluids
5
,
266
(
1962
).
77.
T. F.
Gilmore
and
E. W.
Comings
,
AIChE J.
12
,
1172
(
1966
).
78.
A. K.
Barua
,
A.
Manna
, and
P.
Mukhopadhyay
,
J. Phys. Soc. Jpn.
25
,
862
(
1968
).
79.
A. I.
Johns
,
S.
Rashid
,
L.
Rowan
,
J. T. R.
Watson
, and
A. A.
Clifford
,
Int. J. Thermophys.
9
,
3
(
1988
).
80.
L. E.
Boardman
and
N. E.
Wild
,
Proc. R. Soc. London, Ser. A
162
,
511
(
1937
).
81.
L.
Waldmann
,
Naturwiss.
32
,
223
(
1944
).
82.
C. A.
Boyd
,
N.
Stein
,
V.
Steingrimsson
, and
W. F.
Rumpel
,
J. Chem. Phys.
19
,
548
(
1951
).
83.
A. A.
Westenberg
and
R. E.
Walker
,
J. Chem. Phys.
26
,
1753
(
1957
).
84.
R. E.
Walker
and
A. A.
Westenberg
,
J. Chem. Phys.
29
,
1139
(
1958
).
85.
R. E.
Walker
,
N.
deHaas
, and
A. A.
Westenberg
,
J. Chem. Phys.
32
,
1314
(
1960
).
86.
J.
Bohemen
and
J. H.
Purnell
,
J. Chem. Soc.
360
(
1961
).
87.
J. C.
Giddings
and
S. L.
Seager
,
Ind. Eng. Chem. Fundam.
1
,
277
(
1962
).
88.
B. A.
Ivakin
and
P. E.
Suetin
,
Sov. Phys. Tech. Phys.
9
,
866
(
1964
).
89.
T. A.
Pakurar
and
J. R.
Ferron
,
Ind. Eng. Chem. Fundam.
5
,
553
(
1966
).
90.
A. A.
Mian
, “
Measurement and prediction of binary gaseous diffusion coeffcients
,” Ph.D. thesis,
Louisiana State University and Agricultural and Mechanical College
,
Baton Rouge, Louisiana
,
1967
.
91.
C. S.
Ellis
and
J. N.
Holsen
,
Ind. Eng. Chem. Fundam.
8
,
787
(
1969
).
92.
H. L.
Robjohns
and
P. J.
Dunlop
,
Ber. Bunsenges. Phys. Chem.
88
,
1239
(
1984
).
93.
B.
Jäger
and
E.
Bich
,
J. Chem. Phys.
146
,
214302
(
2017
).
94.
E.
Bich
,
J. B.
Mehl
,
R.
Hellmann
, and
V.
Vesovic
, in
Experimental Thermodynamics Volume IX: Advances in Transport Properties of Fluids
, edited by
M. J.
Assael
,
A. R. H.
Goodwin
,
V.
Vesovic
, and
W. A.
Wakeham
(
The Royal Society of Chemistry
,
Cambridge
,
2014
), Chap. 7, pp.
226
252
.

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