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

using model chemistry: M06-2X/STO-3G

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/STO-3G
 hartrees
Energy at 0K-374.371881
Energy at 298.15K-374.378652
HF Energy-374.371881
Nuclear repulsion energy240.601488
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/STO-3G
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 3348 3348 0.00      
2 Ag 2310 2310 0.00      
3 Ag 1887 1887 0.00      
4 Ag 1468 1468 0.00      
5 Ag 1440 1440 0.00      
6 Ag 1103 1103 0.00      
7 Ag 757 757 0.00      
8 Ag 563 563 0.00      
9 Ag 252 252 0.00      
10 Au 1533 1533 213.56      
11 Au 1009 1009 13.86      
12 Au 259 259 7.43      
13 Au 122 122 0.00      
14 Bg 1534 1534 0.00      
15 Bg 1028 1028 0.00      
16 Bg 340 340 0.00      
17 Bu 3347 3347 0.32      
18 Bu 2924 2924 6618.70      
19 Bu 1888 1888 274.42      
20 Bu 1814 1814 97.87      
21 Bu 1467 1467 60.84      
22 Bu 1407 1407 88.79      
23 Bu 794 794 8.33      
24 Bu 695 695 1.59      

Unscaled Zero Point Vibrational Energy (zpe) 16643.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 16643.4 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/STO-3G
ABC
0.18717 0.09314 0.06219

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/STO-3G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.906 -0.276 0.000
C2 -1.906 0.276 0.000
O3 1.329 0.823 0.000
O4 -1.329 -0.823 0.000
O5 1.329 -1.501 0.000
O6 -1.329 1.501 0.000
H7 3.017 -0.383 0.000
H8 -3.017 0.383 0.000
H9 -0.325 1.381 0.000
H10 0.325 -1.381 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85081.24043.28041.35443.69041.11714.96692.77841.9284
C23.85083.28041.24043.69041.35444.96691.11711.92842.7784
O31.24043.28043.12592.32372.74312.07484.36861.74572.4211
O43.28041.24043.12592.74312.32374.36862.07482.42111.7457
O51.35443.69042.32372.74314.00972.02524.73723.32271.0110
O63.69041.35442.74312.32374.00974.73722.02521.01103.3227
H71.11714.96692.07484.36862.02524.73726.08333.77932.8712
H84.96691.11714.36862.07484.73722.02526.08332.87123.7793
H92.77841.92841.74572.42113.32271.01103.77932.87122.8368
H101.92842.77842.42111.74571.01103.32272.87123.77932.8368

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 136.343 C1 O5 H10 108.354
C2 O4 H10 136.343 C2 O6 H9 108.354
O3 C1 O5 127.100 O3 C1 H7 123.217
O3 H9 O6 168.203 O4 C2 O6 127.100
O4 C2 H8 123.217 O4 H10 O5 168.203
O5 C1 H7 109.683 O6 C2 H8 109.683
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.190      
2 C 0.190      
3 O -0.265      
4 O -0.265      
5 O -0.265      
6 O -0.265      
7 H 0.087      
8 H 0.087      
9 H 0.252      
10 H 0.252      


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 -37.712 0.006 0.000
y 0.006 -27.519 0.000
z 0.000 0.000 -29.710
Traceless
 xyz
x -9.098 0.006 0.000
y 0.006 6.192 0.000
z 0.000 0.000 2.906
Polar
3z2-r25.812
x2-y2-10.193
xy0.006
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.891 0.000 0.000
y 0.000 5.069 0.000
z 0.000 0.000 0.754


<r2> (average value of r2) Å2
<r2> 164.777
(<r2>)1/2 12.837