The performance of the M06-L density functional has been tested for band gaps in seven semiconductors plus diamond and MgO. Comparison with the local spin density approximation (LSDA), Becke-Lee-Yang-Parr (BLYP), Perdew-Burke-Eernzerhof (PBE), Tao-Perdew-Staroverov-Scuseria (TPSS), and Heyd-Scuseria-Ernzerhof (HSE) functionals shows that M06-L has improved performance for calculating band gaps as compared to other local functionals, but it is less accurate than the screened hybrid HSE functional for band gaps.

1.
J. P.
Perdew
,
Int. J. Quantum Chem.
19
,
497
(
1985
).
2.
M.
Schluter
and
L. J.
Sham
,
Adv. Quantum Chem.
21
,
97
(
1990
).
3.
J.
Heyd
,
J. E.
Peralta
,
G. E.
Scuseria
, and
R. L.
Martin
,
J. Chem. Phys.
123
,
174101
(
2005
).
4.
E. N.
Brothers
,
A. F.
Izmaylov
,
J. O.
Normand
,
V.
Barone
, and
G. E.
Scuseria
,
J. Chem. Phys.
129
,
011102
(
2008
).
5.
B. J.
Lynch
,
P. L.
Fast
,
M.
Harris
, and
D. G.
Truhlar
,
J. Phys. Chem. A
104
,
4811
(
2000
).
6.
J.
Muscat
,
A.
Wander
, and
N. M.
Harrison
,
Chem. Phys. Lett.
342
,
397
(
2001
).
7.
J.
Paier
,
M.
Marsman
,
K.
Hummer
,
G.
Kresse
,
I. C.
Gerber
, and
J. G.
Ángyán
,
J. Chem. Phys.
124
,
154709
(
2006
).
8.
M.
Marsman
,
J.
Paier
,
A.
Stroppa
, and
G.
Kresse
,
J. Phys.: Condens. Matter
20
,
064201
(
2008
).
9.
M.
Guidon
,
F.
Schiffmann
,
J.
Hutter
, and
J.
VandeVondele
,
J. Chem. Phys.
128
,
214104
(
2008
).
10.
J.
Heyd
and
G. E.
Scuseria
,
J. Chem. Phys.
118
,
8207
(
2003
).
11.
J.
Heyd
and
G. E.
Scuseria
,
J. Chem. Phys.
120
,
7274
(
2004
).
12.
Y.
Zhao
and
D. G.
Truhlar
,
J. Chem. Phys.
125
,
194101
(
2006
).
13.
Y.
Zhao
and
D. G.
Truhlar
,
Acc. Chem. Res.
41
,
157
(
2008
).
14.
Y.
Zhao
and
D. G.
Truhlar
,
Org. Lett.
9
,
1967
(
2007
).
15.
S.
Torker
,
D.
Merki
, and
P.
Chen
,
J. Am. Chem. Soc.
130
,
4808
(
2008
).
16.
R.
Valero
,
R.
Costa
,
I. d. P. R.
Moreira
,
D. G.
Truhlar
, and
F.
Illas
,
J. Chem. Phys.
128
,
114103
(
2008
).
17.
Y.
Zhao
and
D. G.
Truhlar
,
J. Phys. Chem. C
112
,
6860
(
2008
).
18.
Y.
Zhao
and
D. G.
Truhlar
,
J. Am. Chem. Soc.
129
,
8440
(
2007
).
19.
Y.
Zhao
and
D. G.
Truhlar
,
Phys. Chem. Chem. Phys.
10
,
2813
(
2008
).
20.
C. J.
Cramer
,
J. R.
Gour
,
A.
Kinal
,
M.
Wloch
,
P.
Piecuch
,
A. R. M.
Shahi
, and
L.
Gagliardi
,
J. Phys. Chem. A
112
,
3754
(
2008
).
21.
S.
Hong
,
S. M.
Huber
,
L.
Gagliardi
,
C. C.
Cramer
, and
W. B.
Tolman
,
J. Am. Chem. Soc.
129
,
14190
(
2007
).
22.
Y.
Zhao
and
D. G.
Truhlar
,
J. Phys. Chem. A
112
,
6794
(
2008
).
23.
L. E.
Ramos
,
J.
Paier
,
G.
Kresse
, and
F.
Bechstedt
,
Phys. Rev. B
78
,
195423
(
2008
).
24.
M. P.
Marder
,
Condensed Matter Physics
(
Wiley
,
New York
,
2000
), pp.
526
527
.
25.
A. F.
Izmaylov
and
G. E.
Scuseria
,
J. Chem. Phys.
129
,
034101
(
2008
).
26.
R.
Matz
and
H.
Lveth
,
Appl. Phys. (Berlin)
18
,
123
(
1979
).
27.
M. J.
Frisch
,
G. W.
Trucks
,
H. B.
Schlegel
 et al, GAUSSIAN03; Revision D.01; Gaussian, Inc.: Pittsburgh PA,
2003
.
28.
Y.
Zhao
and
D. G.
Truhlar
, MN-GFM: Minnesota Gaussian Functional Module—Version 4.0beta; University of Minnesota: Minneapolis, MN,
2006
.
29.
K. N.
Kudin
and
G. E.
Scuseria
,
Phys. Rev. B
61
,
16440
(
2000
);
B. G.
Janesko
,
T. M.
Henderson
, and
G. E.
Scuseria
,
Phys. Chem. Chem. Phys.
11
,
443
(
2009
).
[PubMed]
30.
Y.
Zhao
,
N.
González-García
, and
D. G.
Truhlar
,
J. Phys. Chem. A
109
,
2012
(
2005
);
[PubMed]
Y.
Zhao
,
N.
González-García
, and
D. G.
Truhlar
,
J. Phys. Chem. A
110
(E),
4942
(
2006
).
31.
Y.
Zhao
and
D. G.
Truhlar
,
Theor. Chem. Acc.
120
,
215
(
2008
).
32.
Y.
Zhao
and
D. G.
Truhlar
,
J. Chem. Phys.
128
,
184109
(
2008
).
33.
J.
Uddin
and
G. E.
Scuseria
,
Phys. Rev. B
74
,
245115
(
2006
).
You do not currently have access to this content.