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

using model chemistry: PBE1PBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-379.176756
Energy at 298.15K-379.182905
HF Energy-379.176756
Nuclear repulsion energy238.221981
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 PBE1PBE/cc-pVDZ
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 3095 2976 0.00      
2 Ag 2879 2768 0.00      
3 Ag 1734 1668 0.00      
4 Ag 1519 1461 0.00      
5 Ag 1407 1353 0.00      
6 Ag 1312 1262 0.00      
7 Ag 700 673 0.00      
8 Ag 232 223 0.00      
9 Ag 182 175 0.00      
10 Au 1136 1092 131.78      
11 Au 1035 995 89.10      
12 Au 202 194 9.34      
13 Au 82 79 1.80      
14 Bg 1094 1051 0.00      
15 Bg 1037 997 0.00      
16 Bg 296 285 0.00      
17 Bu 3109 2990 250.59      
18 Bu 3024 2908 3212.85      
19 Bu 1837 1767 812.25      
20 Bu 1478 1421 7.92      
21 Bu 1411 1357 64.40      
22 Bu 1311 1260 264.81      
23 Bu 744 716 38.38      
24 Bu 325 312 89.83      

Unscaled Zero Point Vibrational Energy (zpe) 15590.9 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 14990.7 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 PBE1PBE/cc-pVDZ
ABC
0.20265 0.08025 0.05748

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.573 -1.119 0.000
C2 -1.573 1.119 0.000
O3 1.573 0.093 0.000
O4 -1.573 -0.093 0.000
O5 0.515 -1.896 0.000
O6 -0.515 1.896 0.000
H7 2.506 -1.718 0.000
H8 -2.506 1.718 0.000
H9 0.297 1.334 0.000
H10 -0.297 -1.334 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86031.21193.30851.31203.66691.10874.96792.76511.8818
C23.86033.30851.21193.66691.31204.96791.10871.88182.7651
O31.21193.30853.15082.25212.75832.03694.39021.78012.3518
O43.30851.21193.15082.75832.25214.39022.03692.35181.7801
O51.31203.66692.25212.75833.92851.99864.70973.23700.9871
O63.66691.31202.75832.25213.92854.70971.99860.98713.2370
H71.10874.96792.03694.39021.99864.70976.07603.76742.8287
H84.96791.10874.39022.03694.70971.99866.07602.82873.7674
H92.76511.88181.78012.35183.23700.98713.76742.82872.7335
H101.88182.76512.35181.78010.98713.23702.82873.76742.7335

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 134.211 C1 O5 H10 109.049
C2 O4 H10 134.211 C2 O6 H9 109.049
O3 C1 O5 126.290 O3 C1 H7 122.682
O3 H9 O6 170.450 O4 C2 O6 126.290
O4 C2 H8 122.682 O4 H10 O5 170.450
O5 C1 H7 111.027 O6 C2 H8 111.027
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.248      
2 C 0.248      
3 O -0.324      
4 O -0.324      
5 O -0.180      
6 O -0.180      
7 H 0.057      
8 H 0.057      
9 H 0.199      
10 H 0.199      


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 -26.608 -1.140 0.000
y -1.140 -40.375 0.000
z 0.000 0.000 -32.982
Traceless
 xyz
x 10.071 -1.140 0.000
y -1.140 -10.580 0.000
z 0.000 0.000 0.509
Polar
3z2-r21.018
x2-y213.767
xy-1.140
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.923 -0.480 0.000
y -0.480 5.681 0.000
z 0.000 0.000 2.639


<r2> (average value of r2) Å2
<r2> 177.621
(<r2>)1/2 13.327