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

using model chemistry: B3LYP/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at B3LYP/6-31G**
 hartrees
Energy at 0K-379.555740
Energy at 298.15K-379.561708
HF Energy-379.555740
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.089033
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 B3LYP/6-31G**
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 3092 2971 0.00      
2 Ag 3012 2894 0.00      
3 Ag 1727 1659 0.00      
4 Ag 1500 1442 0.00      
5 Ag 1421 1365 0.00      
6 Ag 1283 1233 0.00      
7 Ag 689 662 0.00      
8 Ag 210 202 0.00      
9 Ag 180 173 0.00      
10 Au 1111 1067 85.95      
11 Au 1005 965 166.92      
12 Au 188 181 7.84      
13 Au 78 75 1.87      
14 Bg 1080 1037 0.00      
15 Bg 991 952 0.00      
16 Bg 280 269 0.00      
17 Bu 3156 3033 1826.35      
18 Bu 3075 2955 992.35      
19 Bu 1807 1736 729.64      
20 Bu 1460 1403 2.59      
21 Bu 1418 1363 61.02      
22 Bu 1284 1233 311.89      
23 Bu 728 699 41.01      
24 Bu 289 277 76.53      

Unscaled Zero Point Vibrational Energy (zpe) 15531.4 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 14922.5 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 B3LYP/6-31G**
ABC
0.20007 0.07778 0.05600

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.631 -0.950 0.000
C2 -1.631 0.950 0.000
O3 1.631 0.276 0.000
O4 -1.631 -0.276 0.000
O5 0.581 -1.734 0.000
O6 -0.581 1.734 0.000
H7 2.568 -1.523 0.000
H8 -2.568 1.523 0.000
H9 0.267 1.190 0.000
H10 -0.267 -1.190 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.77471.22633.33061.31043.47821.09834.87292.53801.9128
C23.77473.33061.22633.47821.31044.87291.09831.91282.5380
O31.22633.33063.30822.26822.64922.02854.37991.64192.3984
O43.33061.22633.30822.64922.26824.37992.02852.39841.6419
O51.31043.47822.26822.64923.65811.99814.53052.94141.0074
O63.47821.31042.64922.26823.65814.53051.99811.00742.9414
H71.09834.87292.02854.37991.99814.53055.97103.55752.8542
H84.87291.09834.37992.02854.53051.99815.97102.85423.5575
H92.53801.91281.64192.39842.94141.00743.55752.85422.4397
H101.91282.53802.39841.64191.00742.94142.85423.55752.4397

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 123.824 C1 O5 H10 110.553
C2 O4 H10 123.824 C2 O6 H9 110.553
O3 C1 O5 126.764 O3 C1 H7 121.434
O3 H9 O6 178.859 O4 C2 O6 126.764
O4 C2 H8 121.434 O4 H10 O5 178.859
O5 C1 H7 111.802 O6 C2 H8 111.802
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.443      
2 C 0.443      
3 O -0.478      
4 O -0.478      
5 O -0.455      
6 O -0.455      
7 H 0.117      
8 H 0.117      
9 H 0.372      
10 H 0.372      


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 -30.538 -6.233 0.000
y -6.233 -36.830 0.000
z 0.000 0.000 -33.063
Traceless
 xyz
x 4.409 -6.233 0.000
y -6.233 -5.030 0.000
z 0.000 0.000 0.621
Polar
3z2-r21.242
x2-y26.292
xy-6.233
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.322 -0.711 0.000
y -0.711 6.416 0.000
z 0.000 0.000 2.566


<r2> (average value of r2) Å2
<r2> 181.761
(<r2>)1/2 13.482