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

using model chemistry: M06-2X/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at M06-2X/cc-pVTZ
 hartrees
Energy at 0K-379.560055
Energy at 298.15K-379.566028
HF Energy-379.560055
Nuclear repulsion energy237.761571
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 M06-2X/cc-pVTZ
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 3122 2982 0.00      
2 Ag 3028 2892 0.00      
3 Ag 1742 1663 0.00      
4 Ag 1490 1423 0.00      
5 Ag 1426 1362 0.00      
6 Ag 1299 1240 0.00      
7 Ag 703 672 0.00      
8 Ag 208 198 0.00      
9 Ag 164 157 0.00      
10 Au 1123 1073 41.76      
11 Au 1018 972 179.08      
12 Au 192 184 11.51      
13 Au 71 68 2.20      
14 Bg 1107 1057 0.00      
15 Bg 988 943 0.00      
16 Bg 272 260 0.00      
17 Bu 3173 3031 1835.07      
18 Bu 3104 2965 1157.67      
19 Bu 1829 1747 880.57      
20 Bu 1455 1390 0.51      
21 Bu 1425 1361 84.55      
22 Bu 1298 1240 331.83      
23 Bu 736 703 45.11      
24 Bu 291 278 85.67      

Unscaled Zero Point Vibrational Energy (zpe) 15631.6 cm-1
Scaled (by 0.9551) Zero Point Vibrational Energy (zpe) 14929.7 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 M06-2X/cc-pVTZ
ABC
0.20488 0.07833 0.05667

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.572 -1.127 0.000
C2 -1.572 1.127 0.000
O3 1.572 0.079 0.000
O4 -1.572 -0.079 0.000
O5 0.509 -1.893 0.000
O6 -0.509 1.893 0.000
H7 2.495 -1.717 0.000
H8 -2.495 1.717 0.000
H9 0.304 1.341 0.000
H10 -0.304 -1.341 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86871.20573.31441.31053.66721.09594.96342.77451.8881
C23.86873.31441.20573.66721.31054.96341.09591.88812.7745
O31.20573.31443.14832.24012.76052.01964.38521.78922.3525
O43.31441.20573.14832.76052.24014.38522.01962.35251.7892
O51.31053.66722.24012.76053.91991.99454.69663.23990.9823
O63.66721.31052.76052.24013.91994.69661.99450.98233.2399
H71.09594.96342.01964.38521.99454.69666.05853.76232.8244
H84.96341.09594.38522.01964.69661.99456.05852.82443.7623
H92.77451.88811.78922.35253.23990.98233.76232.82442.7493
H101.88812.77452.35251.78920.98233.23992.82443.76232.7493

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 134.852 C1 O5 H10 110.045
C2 O4 H10 134.852 C2 O6 H9 110.045
O3 C1 O5 125.760 O3 C1 H7 122.600
O3 H9 O6 169.344 O4 C2 O6 125.760
O4 C2 H8 122.600 O4 H10 O5 169.344
O5 C1 H7 111.641 O6 C2 H8 111.641
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.263      
2 C 0.263      
3 O -0.381      
4 O -0.381      
5 O -0.286      
6 O -0.286      
7 H 0.117      
8 H 0.117      
9 H 0.287      
10 H 0.287      


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 -30.268 -7.025 0.000
y -7.025 -37.035 0.000
z 0.000 0.000 -33.711
Traceless
 xyz
x 5.105 -7.025 0.000
y -7.025 -5.046 0.000
z 0.000 0.000 -0.059
Polar
3z2-r2-0.118
x2-y26.767
xy-7.025
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.676 -0.621 0.000
y -0.621 6.948 0.000
z 0.000 0.000 3.506


<r2> (average value of r2) Å2
<r2> 180.065
(<r2>)1/2 13.419