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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-379.311115
Energy at 298.15K-379.317108
HF Energy-379.311115
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.349020
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/aug-cc-pVTZ
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 2981 2948 0.00      
2 Ag 2654 2624 0.00      
3 Ag 1609 1591 0.00      
4 Ag 1458 1442 0.00      
5 Ag 1349 1334 0.00      
6 Ag 1237 1223 0.00      
7 Ag 672 665 0.00      
8 Ag 225 222 0.00      
9 Ag 180 178 0.00      
10 Au 1102 1090 125.49      
11 Au 989 978 32.70      
12 Au 192 190 9.31      
13 Au 75 74 1.71      
14 Bg 1055 1043 0.00      
15 Bg 998 987 0.00      
16 Bg 266 263 0.00      
17 Bu 2985 2952 1.61      
18 Bu 2808 2777 3432.36      
19 Bu 1706 1686 742.03      
20 Bu 1428 1412 0.72      
21 Bu 1354 1338 39.70      
22 Bu 1239 1225 265.81      
23 Bu 718 709 26.55      
24 Bu 315 311 91.80      

Unscaled Zero Point Vibrational Energy (zpe) 14796.1 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 14630.4 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.19827 0.07930 0.05665

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.822 0.012 0.000
C2 1.822 -0.012 0.000
O3 -1.252 1.124 0.000
O4 1.252 -1.124 0.000
O5 -1.252 -1.149 0.000
O6 1.252 1.149 0.000
H7 -2.924 -0.032 0.000
H8 2.924 0.032 0.000
H9 0.182 1.108 0.000
H10 -0.182 -1.108 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.64491.24963.27761.29353.27821.10294.74692.28461.9862
C23.64493.27761.24963.27821.29354.74691.10291.98622.2846
O31.24963.27763.36492.27292.50452.03254.31711.43432.4751
O43.27761.24963.36492.50452.27294.31712.03252.47511.4343
O51.29353.27822.27292.50453.39922.01144.34032.67441.0709
O63.27821.29352.50452.27293.39924.34032.01141.07092.6744
H71.10294.74692.03254.31712.01144.34035.84933.30892.9462
H84.74691.10294.31712.03254.34032.01145.84932.94623.3089
H92.28461.98621.43432.47512.67441.07093.30892.94622.2459
H101.98622.28462.47511.43431.07092.67442.94623.30892.2459

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 116.526 C1 O5 H10 113.959
C2 O4 H10 116.526 C2 O6 H9 113.959
O3 C1 O5 126.691 O3 C1 H7 119.404
O3 H9 O6 177.176 O4 C2 O6 126.691
O4 C2 H8 119.404 O4 H10 O5 177.176
O5 C1 H7 113.905 O6 C2 H8 113.905
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.066      
2 C -0.066      
3 O -0.405      
4 O -0.405      
5 O -0.235      
6 O -0.235      
7 H 0.461      
8 H 0.461      
9 H 0.246      
10 H 0.246      


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 -27.494 1.013 0.000
y 1.013 -41.786 0.000
z 0.000 0.000 -34.316
Traceless
 xyz
x 10.556 1.013 0.000
y 1.013 -10.881 0.000
z 0.000 0.000 0.324
Polar
3z2-r20.649
x2-y214.291
xy1.013
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.846 0.365 0.000
y 0.365 7.790 0.000
z 0.000 0.000 4.621


<r2> (average value of r2) Å2
<r2> 180.598
(<r2>)1/2 13.439