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

using model chemistry: PBEPBEultrafine/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/cc-pVTZ
 hartrees
Energy at 0K-379.303578
Energy at 298.15K-379.309606
HF Energy-379.303578
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.523854
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/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 2977 2956 0.00      
2 Ag 2648 2630 0.00      
3 Ag 1617 1606 0.00      
4 Ag 1466 1456 0.00      
5 Ag 1352 1343 0.00      
6 Ag 1241 1233 0.00      
7 Ag 675 670 0.00      
8 Ag 227 225 0.00      
9 Ag 181 180 0.00      
10 Au 1104 1097 134.92      
11 Au 991 984 36.24      
12 Au 195 193 8.43      
13 Au 75 75 1.58      
14 Bg 1056 1049 0.00      
15 Bg 1000 993 0.00      
16 Bg 277 275 0.00      
17 Bu 2981 2961 1.56      
18 Bu 2810 2790 3449.26      
19 Bu 1718 1706 695.14      
20 Bu 1433 1423 2.11      
21 Bu 1357 1348 39.83      
22 Bu 1243 1235 256.22      
23 Bu 722 717 27.46      
24 Bu 319 317 91.67      

Unscaled Zero Point Vibrational Energy (zpe) 14833.0 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 14730.6 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/cc-pVTZ
ABC
0.19808 0.07958 0.05677

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.820 0.012 0.000
C2 1.820 -0.012 0.000
O3 -1.252 1.124 0.000
O4 1.252 -1.124 0.000
O5 -1.252 -1.150 0.000
O6 1.252 1.150 0.000
H7 -2.922 -0.032 0.000
H8 2.922 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
C13.63941.24903.27451.29303.27551.10324.74162.28201.9836
C23.63943.27451.24903.27551.29304.74161.10321.98362.2820
O31.24903.27453.36442.27392.50352.03134.31401.43372.4746
O43.27451.24903.36442.50352.27394.31402.03132.47461.4337
O51.29303.27552.27392.50353.39952.00984.33782.67421.0706
O63.27551.29302.50352.27393.39954.33782.00981.07062.6742
H71.10324.74162.03134.31402.00984.33785.84423.30642.9435
H84.74161.10324.31402.03134.33782.00985.84422.94353.3064
H92.28201.98361.43372.47462.67421.07063.30642.94352.2447
H101.98362.28202.47461.43371.07062.67422.94353.30642.2447

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 116.394 C1 O5 H10 113.785
C2 O4 H10 116.394 C2 O6 H9 113.785
O3 C1 O5 126.894 O3 C1 H7 119.316
O3 H9 O6 177.073 O4 C2 O6 126.894
O4 C2 H8 119.316 O4 H10 O5 177.073
O5 C1 H7 113.790 O6 C2 H8 113.790
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.194      
2 C 0.194      
3 O -0.306      
4 O -0.306      
5 O -0.217      
6 O -0.217      
7 H 0.091      
8 H 0.091      
9 H 0.238      
10 H 0.238      


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 -27.394 0.989 0.000
y 0.989 -40.985 0.000
z 0.000 0.000 -33.813
Traceless
 xyz
x 10.005 0.989 0.000
y 0.989 -10.382 0.000
z 0.000 0.000 0.376
Polar
3z2-r20.753
x2-y213.591
xy0.989
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.192 0.411 0.000
y 0.411 6.751 0.000
z 0.000 0.000 3.644


<r2> (average value of r2) Å2
<r2> 179.940
(<r2>)1/2 13.414