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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-379.515440
Energy at 298.15K-379.521306
HF Energy-379.515440
Nuclear repulsion energy236.682228
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 3224 3224 0.00      
2 Ag 3125 3125 0.00      
3 Ag 1777 1777 0.00      
4 Ag 1480 1480 0.00      
5 Ag 1424 1424 0.00      
6 Ag 1293 1293 0.00      
7 Ag 700 700 0.00      
8 Ag 196 196 0.00      
9 Ag 157 157 0.00      
10 Au 1118 1118 29.04      
11 Au 984 984 248.74      
12 Au 182 182 8.56      
13 Au 74 74 2.27      
14 Bg 1106 1106 0.00      
15 Bg 947 947 0.00      
16 Bg 269 269 0.00      
17 Bu 3330 3330 2217.95      
18 Bu 3119 3119 266.68      
19 Bu 1849 1849 899.15      
20 Bu 1453 1453 0.23      
21 Bu 1421 1421 80.35      
22 Bu 1292 1292 365.45      
23 Bu 723 723 56.32      
24 Bu 264 264 68.69      

Unscaled Zero Point Vibrational Energy (zpe) 15751.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 15751.8 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
0.20607 0.07633 0.05570

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 1.567 -1.131 0.000
C2 -1.567 1.131 0.000
O3 1.567 0.076 0.000
O4 -1.567 -0.076 0.000
O5 0.505 -1.899 0.000
O6 -0.505 1.899 0.000
H7 2.491 -1.723 0.000
H8 -2.491 1.723 0.000
H9 0.305 1.346 0.000
H10 -0.305 -1.346 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86431.20623.30661.31063.67011.09754.96062.77901.8845
C23.86433.30661.20623.67011.31064.96061.09751.88452.7790
O31.20623.30663.13752.24192.75982.02214.37931.79002.3506
O43.30661.20623.13752.75982.24194.37932.02212.35061.7900
O51.31063.67012.24192.75983.92961.99354.70023.25050.9812
O63.67011.31062.75982.24193.92964.70021.99350.98123.2505
H71.09754.96062.02214.37931.99354.70026.05733.76732.8214
H84.96061.09754.37932.02214.70021.99356.05732.82143.7673
H92.77901.88451.79002.35063.25050.98123.76732.82142.7595
H101.88452.77902.35061.79000.98123.25052.82143.76732.7595

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 135.186 C1 O5 H10 109.793
C2 O4 H10 135.186 C2 O6 H9 109.793
O3 C1 O5 125.886 O3 C1 H7 122.673
O3 H9 O6 169.134 O4 C2 O6 125.886
O4 C2 H8 122.673 O4 H10 O5 169.134
O5 C1 H7 111.441 O6 C2 H8 111.441
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 0.321      
2 C 0.321      
3 O -0.435      
4 O -0.435      
5 O -0.332      
6 O -0.332      
7 H 0.128      
8 H 0.128      
9 H 0.317      
10 H 0.317      


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 -30.317 -6.951 0.000
y -6.951 -37.136 0.000
z 0.000 0.000 -33.469
Traceless
 xyz
x 4.986 -6.951 0.000
y -6.951 -5.243 0.000
z 0.000 0.000 0.258
Polar
3z2-r20.516
x2-y26.819
xy-6.951
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.985 -0.609 0.000
y -0.609 6.538 0.000
z 0.000 0.000 2.842


<r2> (average value of r2) Å2
<r2> 182.847
(<r2>)1/2 13.522