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

using model chemistry: PBE1PBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-378.996209
Energy at 298.15K-379.002317
HF Energy-378.996209
Nuclear repulsion energy235.610845
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 PBE1PBE/6-31G
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 3208 3066 0.00      
2 Ag 2792 2669 0.00      
3 Ag 1664 1591 0.00      
4 Ag 1490 1424 0.00      
5 Ag 1416 1353 0.00      
6 Ag 1265 1209 0.00      
7 Ag 675 645 0.00      
8 Ag 243 232 0.00      
9 Ag 181 173 0.00      
10 Au 1153 1102 293.46      
11 Au 1030 984 144.23      
12 Au 198 189 12.55      
13 Au 94 90 1.65      
14 Bg 1102 1053 0.00      
15 Bg 1035 989 0.00      
16 Bg 284 271 0.00      
17 Bu 3208 3066 10.97      
18 Bu 2956 2825 2806.45      
19 Bu 1725 1649 673.73      
20 Bu 1469 1404 63.92      
21 Bu 1422 1359 104.47      
22 Bu 1258 1202 322.69      
23 Bu 711 680 37.44      
24 Bu 325 311 83.68      

Unscaled Zero Point Vibrational Energy (zpe) 15450.4 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 14769.0 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 PBE1PBE/6-31G
ABC
0.19624 0.07971 0.05669

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.599 -1.097 0.000
C2 -1.599 1.097 0.000
O3 1.599 0.135 0.000
O4 -1.599 -0.135 0.000
O5 0.520 -1.879 0.000
O6 -0.520 1.879 0.000
H7 2.520 -1.686 0.000
H8 -2.520 1.686 0.000
H9 0.348 1.395 0.000
H10 -0.348 -1.395 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.87821.23163.33991.33303.65261.09284.97062.78801.9699
C23.87823.33991.23163.65261.33304.97061.09281.96992.7880
O31.23163.33993.20992.28462.74412.04014.40121.77572.4762
O43.33991.23163.20992.74412.28464.40122.04012.47621.7757
O51.33303.65262.28462.74413.89812.00934.68413.27780.9933
O63.65261.33302.74412.28463.89814.68412.00930.99333.2778
H71.09284.97062.04014.40122.00934.68416.06323.76912.8824
H84.97061.09284.40122.04014.68412.00936.06322.88243.7691
H92.78801.96991.77572.47623.27780.99333.76912.88242.8751
H101.96992.78802.47621.77570.99333.27782.88243.76912.8751

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 135.193 C1 O5 H10 114.944
C2 O4 H10 135.193 C2 O6 H9 114.944
O3 C1 O5 125.915 O3 C1 H7 122.613
O3 H9 O6 163.947 O4 C2 O6 125.915
O4 C2 H8 122.613 O4 H10 O5 163.947
O5 C1 H7 111.472 O6 C2 H8 111.472
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.393      
2 C 0.393      
3 O -0.500      
4 O -0.500      
5 O -0.556      
6 O -0.556      
7 H 0.209      
8 H 0.209      
9 H 0.454      
10 H 0.454      


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 -26.881 -0.252 0.000
y -0.252 -43.394 0.000
z 0.000 0.000 -33.689
Traceless
 xyz
x 11.660 -0.252 0.000
y -0.252 -13.108 0.000
z 0.000 0.000 1.448
Polar
3z2-r22.896
x2-y216.512
xy-0.252
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.288 -0.486 0.000
y -0.486 5.892 0.000
z 0.000 0.000 2.081


<r2> (average value of r2) Å2
<r2> 180.731
(<r2>)1/2 13.444