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: B3LYP/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at B3LYP/STO-3G
 hartrees
Energy at 0K-374.379852
Energy at 298.15K-374.386408
HF Energy-374.379852
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy237.621768
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 B3LYP/STO-3G
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 3262 2911 0.00      
2 Ag 2205 1968 0.00      
3 Ag 1826 1629 0.00      
4 Ag 1439 1285 0.00      
5 Ag 1353 1208 0.00      
6 Ag 1075 959 0.00      
7 Ag 712 635 0.00      
8 Ag 537 479 0.00      
9 Ag 249 222 0.00      
10 Au 1446 1290 181.69      
11 Au 951 848 7.43      
12 Au 243 217 4.66      
13 Au 94 84 0.00      
14 Bg 1442 1287 0.00      
15 Bg 976 871 0.00      
16 Bg 329 294 0.00      
17 Bu 3260 2909 0.72      
18 Bu 2805 2503 6178.15      
19 Bu 1788 1596 172.85      
20 Bu 1758 1569 97.22      
21 Bu 1436 1281 53.36      
22 Bu 1325 1182 72.17      
23 Bu 766 684 4.43      
24 Bu 646 576 1.11      

Unscaled Zero Point Vibrational Energy (zpe) 15961.0 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 14243.6 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 B3LYP/STO-3G
ABC
0.18154 0.09109 0.06065

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.773 0.000
C2 -0.000 -1.773 0.000
O3 -1.188 1.204 0.000
O4 1.188 -1.204 0.000
O5 1.188 1.203 0.000
O6 -1.188 -1.203 0.000
H7 0.001 2.896 0.000
H8 -0.001 -2.896 0.000
H9 -1.136 0.001 0.000
H10 1.136 -0.001 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.54601.31713.20551.31713.20471.12274.66872.10542.1061
C23.54603.20551.31713.20471.31714.66871.12272.10612.1054
O31.31713.20553.38312.37552.40772.06714.26841.20492.6176
O43.20551.31713.38312.40772.37554.26842.06712.61761.2049
O51.31713.20472.37552.40773.38162.06714.26792.61661.2050
O63.20471.31712.40772.37553.38164.26792.06711.20502.6166
H71.12274.66872.06714.26842.06714.26795.79143.11033.1108
H84.66871.12274.26842.06714.26792.06715.79143.11083.1103
H92.10542.10611.20492.61762.61661.20503.11033.11082.2721
H102.10612.10542.61761.20491.20502.61663.11083.11032.2721

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 113.117 C1 O5 H10 113.168
C2 O4 H10 113.117 C2 O6 H9 113.168
O3 C1 O5 128.795 O3 C1 H7 115.601
O3 H9 O6 175.080 O4 C2 O6 128.795
O4 C2 H8 115.601 O4 H10 O5 175.080
O5 C1 H7 115.604 O6 C2 H8 115.604
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.157      
2 C 0.157      
3 O -0.236      
4 O -0.236      
5 O -0.236      
6 O -0.236      
7 H 0.087      
8 H 0.087      
9 H 0.228      
10 H 0.228      


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 -37.200 0.004 0.000
y 0.004 -27.795 0.000
z 0.000 0.000 -29.847
Traceless
 xyz
x -8.379 0.004 0.000
y 0.004 5.729 0.000
z 0.000 0.000 2.650
Polar
3z2-r25.300
x2-y2-9.406
xy0.004
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.963 -0.000 0.000
y -0.000 5.354 0.000
z 0.000 0.000 0.798


<r2> (average value of r2) Å2
<r2> 168.341
(<r2>)1/2 12.975