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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-379.156822
Energy at 298.15K-379.162863
HF Energy-379.156822
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.436501
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 PBEPBE/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 3011 2970 0.00      
2 Ag 2591 2555 0.00      
3 Ag 1634 1612 0.00      
4 Ag 1483 1463 0.00      
5 Ag 1368 1350 0.00      
6 Ag 1264 1246 0.00      
7 Ag 674 665 0.00      
8 Ag 222 219 0.00      
9 Ag 184 181 0.00      
10 Au 1119 1103 165.83      
11 Au 989 975 50.74      
12 Au 197 194 7.11      
13 Au 80 79 1.31      
14 Bg 1066 1051 0.00      
15 Bg 1003 989 0.00      
16 Bg 290 286 0.00      
17 Bu 3013 2971 9.81      
18 Bu 2777 2739 3567.06      
19 Bu 1745 1721 652.22      
20 Bu 1442 1422 8.90      
21 Bu 1373 1354 48.32      
22 Bu 1264 1247 241.31      
23 Bu 726 716 28.03      
24 Bu 325 321 95.15      

Unscaled Zero Point Vibrational Energy (zpe) 14918.4 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 14714.0 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 PBEPBE/6-31G**
ABC
0.19623 0.08045 0.05706

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.861 -0.065 0.000
C2 -1.861 0.065 0.000
O3 1.294 1.039 0.000
O4 -1.294 -1.039 0.000
O5 1.294 -1.250 0.000
O6 -1.294 1.250 0.000
H7 2.966 -0.133 0.000
H8 -2.966 0.133 0.000
H9 -0.264 1.152 0.000
H10 0.264 -1.152 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.72421.24093.30211.31333.41811.10744.83132.44881.9322
C23.72423.30211.24093.41811.31334.83131.10741.93222.4488
O31.24093.30213.31922.28862.59702.04214.35561.56212.4214
O43.30211.24093.31922.59702.28864.35562.04212.42141.5621
O51.31333.41812.28862.59703.59822.01044.47932.86311.0350
O63.41811.31332.59702.28863.59824.47932.01041.03502.8631
H71.10744.83132.04214.35562.01044.47935.93843.47652.8881
H84.83131.10744.35562.04214.47932.01045.93842.88813.4765
H92.44881.93221.56212.42142.86311.03503.47652.88812.3643
H101.93222.44882.42141.56211.03502.86312.88813.47652.3643

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 121.341 C1 O5 H10 110.169
C2 O4 H10 121.341 C2 O6 H9 110.169
O3 C1 O5 127.256 O3 C1 H7 120.722
O3 H9 O6 178.766 O4 C2 O6 127.256
O4 C2 H8 120.722 O4 H10 O5 178.766
O5 C1 H7 112.022 O6 C2 H8 112.022
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.376      
2 C 0.376      
3 O -0.446      
4 O -0.446      
5 O -0.421      
6 O -0.421      
7 H 0.125      
8 H 0.125      
9 H 0.365      
10 H 0.365      


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 -27.451 -0.865 0.000
y -0.865 -40.282 0.000
z 0.000 0.000 -33.237
Traceless
 xyz
x 9.309 -0.865 0.000
y -0.865 -9.938 0.000
z 0.000 0.000 0.629
Polar
3z2-r21.257
x2-y212.831
xy-0.865
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.460 -0.403 0.000
y -0.403 6.009 0.000
z 0.000 0.000 2.627


<r2> (average value of r2) Å2
<r2> 178.915
(<r2>)1/2 13.376