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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-379.142788
Energy at 298.15K-379.148715
HF Energy-379.142788
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy234.429246
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 PBEPBEultrafine/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 3023 2973 0.00      
2 Ag 2784 2738 0.00      
3 Ag 1669 1641 0.00      
4 Ag 1463 1439 0.00      
5 Ag 1373 1350 0.00      
6 Ag 1243 1223 0.00      
7 Ag 668 656 0.00      
8 Ag 223 219 0.00      
9 Ag 181 178 0.00      
10 Au 1078 1061 122.50      
11 Au 963 948 106.73      
12 Au 185 182 5.39      
13 Au 75 74 1.55      
14 Bg 1034 1017 0.00      
15 Bg 968 952 0.00      
16 Bg 283 278 0.00      
17 Bu 3030 2980 23.33      
18 Bu 2919 2871 2923.20      
19 Bu 1754 1726 642.22      
20 Bu 1426 1402 2.91      
21 Bu 1373 1350 43.83      
22 Bu 1243 1223 265.38      
23 Bu 710 699 34.16      
24 Bu 303 298 70.86      

Unscaled Zero Point Vibrational Energy (zpe) 14986.1 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 14738.8 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 PBEPBEultrafine/6-31G*
ABC
0.19594 0.07713 0.05534

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.650 -0.931 0.000
C2 -1.650 0.931 0.000
O3 1.650 0.307 0.000
O4 -1.650 -0.307 0.000
O5 0.601 -1.730 0.000
O6 -0.601 1.730 0.000
H7 2.597 -1.505 0.000
H8 -2.597 1.505 0.000
H9 0.260 1.172 0.000
H10 -0.260 -1.172 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.78851.23723.35821.31893.48541.10734.89542.52051.9252
C23.78853.35821.23723.48541.31894.89541.10731.92522.5205
O31.23723.35823.35622.29102.66352.04384.41231.63722.4154
O43.35821.23723.35622.66352.29104.41232.04382.41541.6372
O51.31893.48542.29102.66353.66362.00834.54882.92241.0264
O63.48541.31892.66352.29103.66364.54882.00831.02642.9224
H71.10734.89542.04384.41232.00834.54886.00243.55312.8761
H84.89541.10734.41232.04384.54882.00836.00242.87613.5531
H92.52051.92521.63722.41542.92241.02643.55312.87612.4011
H101.92522.52052.41541.63721.02642.92242.87613.55312.4011

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 121.914 C1 O5 H10 109.720
C2 O4 H10 121.914 C2 O6 H9 109.720
O3 C1 O5 127.326 O3 C1 H7 121.231
O3 H9 O6 178.959 O4 C2 O6 127.326
O4 C2 H8 121.231 O4 H10 O5 178.959
O5 C1 H7 111.443 O6 C2 H8 111.443
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.325      
2 C 0.325      
3 O -0.428      
4 O -0.428      
5 O -0.490      
6 O -0.490      
7 H 0.161      
8 H 0.161      
9 H 0.432      
10 H 0.432      


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 -30.899 -5.788 0.000
y -5.788 -36.904 0.000
z 0.000 0.000 -33.347
Traceless
 xyz
x 4.226 -5.788 0.000
y -5.788 -4.781 0.000
z 0.000 0.000 0.555
Polar
3z2-r21.110
x2-y26.005
xy-5.788
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.767 -0.833 0.000
y -0.833 6.679 0.000
z 0.000 0.000 2.590


<r2> (average value of r2) Å2
<r2> 183.757
(<r2>)1/2 13.556