return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H4O4 (Formic acid dimer)

using model chemistry: wB97X-D/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at wB97X-D/6-311G**
 hartrees
Energy at 0K-379.542610
Energy at 298.15K-379.548597
HF Energy-379.542610
Nuclear repulsion energy236.605838
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at wB97X-D/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3231 3091 0.00      
2 Ag 3098 2963 0.00      
3 Ag 1765 1688 0.00      
4 Ag 1498 1433 0.00      
5 Ag 1420 1359 0.00      
6 Ag 1292 1236 0.00      
7 Ag 701 671 0.00      
8 Ag 215 205 0.00      
9 Ag 176 168 0.00      
10 Au 1116 1067 55.24      
11 Au 1006 963 202.30      
12 Au 191 182 9.05      
13 Au 77 74 2.42      
14 Bg 1097 1049 0.00      
15 Bg 978 936 0.00      
16 Bg 278 266 0.00      
17 Bu 3336 3191 2189.32      
18 Bu 3092 2958 276.58      
19 Bu 1837 1757 844.74      
20 Bu 1462 1398 1.13      
21 Bu 1420 1358 58.55      
22 Bu 1292 1236 346.71      
23 Bu 729 698 51.79      
24 Bu 279 267 65.39      

Unscaled Zero Point Vibrational Energy (zpe) 15792.5 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 15105.5 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/6-311G**
ABC
0.20448 0.07660 0.05572

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.618 -0.989 0.000
C2 -1.618 0.989 0.000
O3 1.618 0.225 0.000
O4 -1.618 -0.225 0.000
O5 0.568 -1.762 0.000
O6 -0.568 1.762 0.000
H7 2.550 -1.568 0.000
H8 -2.550 1.568 0.000
H9 0.262 1.215 0.000
H10 -0.262 -1.215 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.79311.21393.32581.30453.51351.09644.88952.58741.8938
C23.79313.32581.21393.51351.30454.88951.09641.89382.5874
O31.21393.32583.26822.24772.67222.02024.37891.67912.3682
O43.32581.21393.26822.67222.24774.37892.02022.36821.6791
O51.30453.51352.24772.67223.70201.99134.56102.99200.9937
O63.51351.30452.67222.24773.70204.56101.99130.99372.9920
H71.09644.88952.02024.37891.99134.56105.98583.60202.8334
H84.88951.09644.37892.02024.56101.99135.98582.83343.6020
H92.58741.89381.67912.36822.99200.99373.60202.83342.4849
H101.89382.58742.36821.67910.99372.99202.83343.60202.4849

picture of Formic acid dimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 O3 H9 126.099 C1 O5 H10 110.240
C2 O4 H10 126.099 C2 O6 H9 110.240
O3 C1 O5 126.346 O3 C1 H7 121.873
O3 H9 O6 177.315 O4 C2 O6 126.346
O4 C2 H8 121.873 O4 H10 O5 177.315
O5 C1 H7 111.782 O6 C2 H8 111.782
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.281      
2 C 0.281      
3 O -0.406      
4 O -0.406      
5 O -0.291      
6 O -0.291      
7 H 0.121      
8 H 0.121      
9 H 0.295      
10 H 0.295      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.364 -6.898 0.000
y -6.898 -36.948 0.000
z 0.000 0.000 -33.233
Traceless
 xyz
x 4.727 -6.898 0.000
y -6.898 -5.149 0.000
z 0.000 0.000 0.423
Polar
3z2-r20.845
x2-y26.584
xy-6.898
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.100 -0.628 0.000
y -0.628 6.528 0.000
z 0.000 0.000 2.867


<r2> (average value of r2) Å2
<r2> 182.642
(<r2>)1/2 13.515