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

using model chemistry: M06-2X/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 M06-2X/6-311G*
 hartrees
Energy at 0K-379.500459
Energy at 298.15K-379.506291
HF Energy-379.500459
Nuclear repulsion energy235.584668
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/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 3354 3354 0.00      
2 Ag 3146 3146 0.00      
3 Ag 1796 1796 0.00      
4 Ag 1470 1470 0.00      
5 Ag 1426 1426 0.00      
6 Ag 1288 1288 0.00      
7 Ag 695 695 0.00      
8 Ag 214 214 0.00      
9 Ag 159 159 0.00      
10 Au 1110 1110 22.82      
11 Au 953 953 304.66      
12 Au 171 171 5.50      
13 Au 71 71 2.19      
14 Bg 1100 1100 0.00      
15 Bg 912 912 0.00      
16 Bg 258 258 0.00      
17 Bu 3432 3432 1684.77      
18 Bu 3142 3142 202.05      
19 Bu 1857 1857 918.79      
20 Bu 1453 1453 5.19      
21 Bu 1416 1416 72.98      
22 Bu 1286 1286 396.14      
23 Bu 710 710 64.55      
24 Bu 273 273 53.38      

Unscaled Zero Point Vibrational Energy (zpe) 15845.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15845.7 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/6-311G*
ABC
0.20631 0.07451 0.05474

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.569 -1.127 0.000
C2 -1.569 1.127 0.000
O3 1.569 0.079 0.000
O4 -1.569 -0.079 0.000
O5 0.508 -1.897 0.000
O6 -0.508 1.897 0.000
H7 2.493 -1.719 0.000
H8 -2.493 1.719 0.000
H9 0.309 1.355 0.000
H10 -0.309 -1.355 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86401.20643.30861.31063.66861.09734.96012.78331.8918
C23.86403.30861.20643.66861.31064.96011.09731.89182.7833
O31.20643.30863.14232.24272.76012.02164.38081.79292.3628
O43.30861.20643.14232.76012.24274.38082.02162.36281.7929
O51.31063.66862.24272.76013.92711.99304.69903.25730.9806
O63.66861.31062.76012.24273.92714.69901.99300.98063.2573
H71.09734.96012.02164.38081.99304.69906.05663.77052.8257
H84.96011.09734.38082.02164.69901.99306.05662.82573.7705
H92.78331.89181.79292.36283.25730.98063.77052.82572.7786
H101.89182.78332.36281.79290.98063.25732.82573.77052.7786

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 135.340 C1 O5 H10 110.485
C2 O4 H10 135.340 C2 O6 H9 110.485
O3 C1 O5 125.955 O3 C1 H7 122.629
O3 H9 O6 168.220 O4 C2 O6 125.955
O4 C2 H8 122.629 O4 H10 O5 168.220
O5 C1 H7 111.416 O6 C2 H8 111.416
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.253      
2 C 0.253      
3 O -0.430      
4 O -0.430      
5 O -0.493      
6 O -0.493      
7 H 0.221      
8 H 0.221      
9 H 0.448      
10 H 0.448      


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 -30.423 -6.705 0.000
y -6.705 -37.539 0.000
z 0.000 0.000 -33.638
Traceless
 xyz
x 5.165 -6.705 0.000
y -6.705 -5.509 0.000
z 0.000 0.000 0.343
Polar
3z2-r20.687
x2-y27.116
xy-6.705
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.883 -0.570 0.000
y -0.570 6.478 0.000
z 0.000 0.000 2.735


<r2> (average value of r2) Å2
<r2> 185.828
(<r2>)1/2 13.632