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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-379.249026
Energy at 298.15K-379.254944
HF Energy-379.249026
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy234.535515
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 PBEPBEultrafine/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 2999 2968 0.00      
2 Ag 2880 2850 0.00      
3 Ag 1665 1648 0.00      
4 Ag 1447 1432 0.00      
5 Ag 1363 1349 0.00      
6 Ag 1230 1217 0.00      
7 Ag 670 663 0.00      
8 Ag 220 218 0.00      
9 Ag 176 175 0.00      
10 Au 1074 1063 145.07      
11 Au 965 955 106.89      
12 Au 186 184 5.24      
13 Au 76 75 1.64      
14 Bg 1033 1022 0.00      
15 Bg 965 955 0.00      
16 Bg 280 277 0.00      
17 Bu 3031 2999 745.13      
18 Bu 2966 2935 1779.68      
19 Bu 1740 1722 722.60      
20 Bu 1418 1403 2.72      
21 Bu 1365 1351 40.86      
22 Bu 1230 1217 294.53      
23 Bu 704 697 36.28      
24 Bu 293 290 66.17      

Unscaled Zero Point Vibrational Energy (zpe) 14987.9 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 14832.0 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 PBEPBEultrafine/6-311G*
ABC
0.19795 0.07638 0.05511

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.641 -0.958 0.000
C2 -1.641 0.958 0.000
O3 1.641 0.272 0.000
O4 -1.641 -0.272 0.000
O5 0.590 -1.753 0.000
O6 -0.590 1.753 0.000
H7 2.584 -1.537 0.000
H8 -2.584 1.537 0.000
H9 0.264 1.204 0.000
H10 -0.264 -1.204 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.80051.23003.35311.31763.51091.10604.90632.56361.9211
C23.80053.35311.23003.51091.31764.90631.10601.92112.5636
O31.23003.35313.32692.28122.67792.03964.40991.66292.4104
O43.35311.23003.32692.67792.28124.40992.03962.41041.6629
O51.31763.51092.28122.67793.69882.00504.57092.97511.0151
O63.51091.31762.67792.28123.69884.57092.00501.01512.9751
H71.10604.90632.03964.40992.00504.57096.01213.59082.8671
H84.90631.10604.40992.03964.57092.00506.01212.86713.5908
H92.56361.92111.66292.41042.97511.01513.59082.86712.4662
H101.92112.56362.41041.66291.01512.97512.86713.59082.4662

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 124.107 C1 O5 H10 110.214
C2 O4 H10 124.107 C2 O6 H9 110.214
O3 C1 O5 127.098 O3 C1 H7 121.555
O3 H9 O6 178.581 O4 C2 O6 127.098
O4 C2 H8 121.555 O4 H10 O5 178.581
O5 C1 H7 111.348 O6 C2 H8 111.348
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.154      
2 C 0.154      
3 O -0.353      
4 O -0.353      
5 O -0.401      
6 O -0.401      
7 H 0.205      
8 H 0.205      
9 H 0.395      
10 H 0.395      


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 -31.218 -5.981 0.000
y -5.981 -37.774 0.000
z 0.000 0.000 -33.785
Traceless
 xyz
x 4.562 -5.981 0.000
y -5.981 -5.273 0.000
z 0.000 0.000 0.711
Polar
3z2-r21.422
x2-y26.556
xy-5.981
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.774 -0.805 0.000
y -0.805 6.896 0.000
z 0.000 0.000 2.854


<r2> (average value of r2) Å2
<r2> 184.841
(<r2>)1/2 13.596