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: HF/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 HF/6-311G*
 hartrees
Energy at 0K-377.647100
Energy at 298.15K-377.652886
HF Energy-377.647100
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy234.881449
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 HF/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 3869 3499 0.00      
2 Ag 3300 2985 0.00      
3 Ag 1935 1750 0.00      
4 Ag 1569 1419 0.00      
5 Ag 1524 1378 0.00      
6 Ag 1350 1221 0.00      
7 Ag 734 664 0.00      
8 Ag 184 166 0.00      
9 Ag 165 149 0.00      
10 Au 1208 1093 0.03      
11 Au 964 872 404.05      
12 Au 165 149 8.71      
13 Au 76 68 3.58      
14 Bg 1205 1090 0.00      
15 Bg 914 827 0.00      
16 Bg 241 218 0.00      
17 Bu 3908 3534 1155.19      
18 Bu 3298 2982 166.90      
19 Bu 1984 1794 1128.84      
20 Bu 1562 1412 25.89      
21 Bu 1501 1357 59.51      
22 Bu 1353 1224 512.94      
23 Bu 744 673 95.04      
24 Bu 224 203 39.09      

Unscaled Zero Point Vibrational Energy (zpe) 16987.4 cm-1
Scaled (by 0.9044) Zero Point Vibrational Energy (zpe) 15363.4 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 HF/6-311G*
ABC
0.21194 0.07031 0.05280

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.627 -1.088 0.000
C2 -1.627 1.088 0.000
O3 1.627 0.102 0.000
O4 -1.627 -0.102 0.000
O5 0.576 -1.850 0.000
O6 -0.576 1.850 0.000
H7 2.540 -1.671 0.000
H8 -2.540 1.671 0.000
H9 0.231 1.338 0.000
H10 -0.231 -1.338 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.91351.18963.39931.29813.67151.08374.99702.79821.8742
C23.91353.39931.18963.67151.29814.99701.08371.87422.7982
O31.18963.39933.25962.21672.81181.99414.45221.86412.3499
O43.39931.18963.25962.81182.21674.45221.99412.34991.8641
O51.29813.67152.21672.81183.87481.97244.70143.20600.9556
O63.67151.29812.81182.21673.87484.70141.97240.95563.2060
H71.08374.99701.99414.45221.97244.70146.08053.79242.7909
H84.99701.08374.45221.99414.70141.97246.08052.79093.7924
H92.79821.87421.86412.34993.20600.95563.79242.79092.7146
H101.87422.79822.34991.86410.95563.20602.79093.79242.7146

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 131.516 C1 O5 H10 111.624
C2 O4 H10 131.516 C2 O6 H9 111.624
O3 C1 O5 125.957 O3 C1 H7 122.547
O3 H9 O6 170.903 O4 C2 O6 125.957
O4 C2 H8 122.547 O4 H10 O5 170.903
O5 C1 H7 111.496 O6 C2 H8 111.496
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.378      
2 C 0.378      
3 O -0.504      
4 O -0.504      
5 O -0.583      
6 O -0.583      
7 H 0.217      
8 H 0.217      
9 H 0.492      
10 H 0.492      


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 -29.929 -7.621 0.000
y -7.621 -37.096 0.000
z 0.000 0.000 -33.222
Traceless
 xyz
x 5.230 -7.621 0.000
y -7.621 -5.520 0.000
z 0.000 0.000 0.290
Polar
3z2-r20.581
x2-y27.166
xy-7.621
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.086 -0.440 0.000
y -0.440 5.823 0.000
z 0.000 0.000 2.572


<r2> (average value of r2) Å2
<r2> 191.546
(<r2>)1/2 13.840