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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-379.236733
Energy at 298.15K-379.242685
HF Energy-379.236733
Nuclear repulsion energy236.312957
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/6-311G*
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 3199 3066 0.00      
2 Ag 3109 2980 0.00      
3 Ag 1768 1694 0.00      
4 Ag 1487 1426 0.00      
5 Ag 1421 1362 0.00      
6 Ag 1291 1237 0.00      
7 Ag 696 667 0.00      
8 Ag 218 209 0.00      
9 Ag 175 167 0.00      
10 Au 1106 1060 75.22      
11 Au 997 956 217.37      
12 Au 184 176 6.44      
13 Au 76 73 2.18      
14 Bg 1084 1039 0.00      
15 Bg 972 931 0.00      
16 Bg 275 263 0.00      
17 Bu 3298 3161 1884.26      
18 Bu 3102 2973 338.52      
19 Bu 1837 1760 850.29      
20 Bu 1457 1397 0.71      
21 Bu 1419 1360 59.61      
22 Bu 1289 1236 348.23      
23 Bu 724 694 52.05      
24 Bu 284 272 61.75      

Unscaled Zero Point Vibrational Energy (zpe) 15732.1 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 15079.2 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/6-311G*
ABC
0.20399 0.07625 0.05550

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.575 -1.114 0.000
C2 -1.575 1.114 0.000
O3 1.575 0.094 0.000
O4 -1.575 -0.094 0.000
O5 0.520 -1.889 0.000
O6 -0.520 1.889 0.000
H7 2.501 -1.706 0.000
H8 -2.501 1.706 0.000
H9 0.298 1.346 0.000
H10 -0.298 -1.346 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85861.20793.31171.30963.66121.09914.95682.77211.8876
C23.85863.31171.20793.66121.30964.95681.09911.88762.7721
O31.20793.31173.15652.24642.75872.02424.38371.78902.3631
O43.31171.20793.15652.75872.24644.38372.02422.36311.7890
O51.30963.66122.24642.75873.91791.98994.69553.24270.9811
O63.66121.30962.75872.24643.91794.69551.98990.98113.2427
H71.09914.95682.02424.38371.98994.69556.05523.76462.8220
H84.95681.09914.38372.02424.69551.98996.05522.82203.7646
H92.77211.88761.78902.36313.24270.98113.76462.82202.7579
H101.88762.77212.36311.78900.98113.24272.82203.76462.7579

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 134.422 C1 O5 H10 110.157
C2 O4 H10 134.422 C2 O6 H9 110.157
O3 C1 O5 126.287 O3 C1 H7 122.605
O3 H9 O6 169.134 O4 C2 O6 126.287
O4 C2 H8 122.605 O4 H10 O5 169.134
O5 C1 H7 111.108 O6 C2 H8 111.108
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.208      
2 C 0.208      
3 O -0.401      
4 O -0.401      
5 O -0.453      
6 O -0.453      
7 H 0.216      
8 H 0.216      
9 H 0.430      
10 H 0.430      


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 -30.700 -6.470 0.000
y -6.470 -37.473 0.000
z 0.000 0.000 -33.492
Traceless
 xyz
x 4.783 -6.470 0.000
y -6.470 -5.377 0.000
z 0.000 0.000 0.595
Polar
3z2-r21.189
x2-y26.774
xy-6.470
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.140 -0.652 0.000
y -0.652 6.507 0.000
z 0.000 0.000 2.760


<r2> (average value of r2) Å2
<r2> 183.522
(<r2>)1/2 13.547