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: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-379.030363
Energy at 298.15K-379.036475
HF Energy-379.030363
Nuclear repulsion energy235.575494
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 HSEh1PBE/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 3206 3067 0.00      
2 Ag 2790 2669 0.00      
3 Ag 1662 1590 0.00      
4 Ag 1488 1424 0.00      
5 Ag 1415 1354 0.00      
6 Ag 1263 1208 0.00      
7 Ag 675 645 0.00      
8 Ag 246 235 0.00      
9 Ag 181 173 0.00      
10 Au 1151 1101 287.60      
11 Au 1029 984 146.94      
12 Au 198 190 12.41      
13 Au 93 89 1.62      
14 Bg 1101 1054 0.00      
15 Bg 1034 989 0.00      
16 Bg 283 271 0.00      
17 Bu 3206 3067 12.06      
18 Bu 2953 2825 2791.47      
19 Bu 1723 1648 671.50      
20 Bu 1468 1404 62.01      
21 Bu 1421 1360 105.95      
22 Bu 1256 1201 321.60      
23 Bu 710 679 36.99      
24 Bu 327 313 82.35      

Unscaled Zero Point Vibrational Energy (zpe) 15440.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 14770.8 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 HSEh1PBE/6-31G
ABC
0.19625 0.07966 0.05666

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.599 -1.096 0.000
C2 -1.599 1.096 0.000
O3 1.599 0.136 0.000
O4 -1.599 -0.136 0.000
O5 0.520 -1.878 0.000
O6 -0.520 1.878 0.000
H7 2.519 -1.685 0.000
H8 -2.519 1.685 0.000
H9 0.348 1.394 0.000
H10 -0.348 -1.394 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.87691.23153.33891.33293.65141.09274.96922.78671.9697
C23.87693.33891.23153.65141.33294.96921.09271.96972.7867
O31.23153.33893.20922.28462.74312.03984.40001.77452.4761
O43.33891.23153.20922.74312.28464.40002.03982.47611.7745
O51.33293.65142.28462.74313.89732.00914.68293.27690.9935
O63.65141.33292.74312.28463.89734.68292.00910.99353.2769
H71.09274.96922.03984.40002.00914.68296.06163.76762.8822
H84.96921.09274.40002.03984.68292.00916.06162.88223.7676
H92.78671.96971.77452.47613.27690.99353.76762.88222.8742
H101.96972.78672.47611.77450.99353.27692.88223.76762.8742

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 135.184 C1 O5 H10 114.928
C2 O4 H10 135.184 C2 O6 H9 114.928
O3 C1 O5 125.929 O3 C1 H7 122.605
O3 H9 O6 163.960 O4 C2 O6 125.929
O4 C2 H8 122.605 O4 H10 O5 163.960
O5 C1 H7 111.466 O6 C2 H8 111.466
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.390      
2 C 0.390      
3 O -0.495      
4 O -0.495      
5 O -0.551      
6 O -0.551      
7 H 0.206      
8 H 0.206      
9 H 0.450      
10 H 0.450      


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 -26.906 -0.247 0.000
y -0.247 -43.363 0.000
z 0.000 0.000 -33.676
Traceless
 xyz
x 11.613 -0.247 0.000
y -0.247 -13.071 0.000
z 0.000 0.000 1.458
Polar
3z2-r22.916
x2-y216.456
xy-0.247
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.311 -0.487 0.000
y -0.487 5.895 0.000
z 0.000 0.000 2.081


<r2> (average value of r2) Å2
<r2> 180.804
(<r2>)1/2 13.446