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

using model chemistry: B3LYP/aug-cc-pVQZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at B3LYP/aug-cc-pVQZ
 hartrees
Energy at 0K-379.742683
Energy at 298.15K-379.748606
HF Energy-379.742683
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.183325
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 B3LYP/aug-cc-pVQZ
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 3068 2973 0.00      
2 Ag 3053 2958 0.00      
3 Ag 1695 1642 0.00      
4 Ag 1476 1430 0.00      
5 Ag 1407 1363 0.00      
6 Ag 1255 1216 0.00      
7 Ag 690 669 0.00      
8 Ag 210 204 0.00      
9 Ag 175 170 0.00      
10 Au 1101 1067 55.93      
11 Au 1001 970 132.47      
12 Au 184 178 10.10      
13 Au 77 75 2.36      
14 Bg 1080 1047 0.00      
15 Bg 981 950 0.00      
16 Bg 259 251 0.00      
17 Bu 3173 3075 2180.39      
18 Bu 3054 2959 482.10      
19 Bu 1768 1713 817.53      
20 Bu 1449 1404 0.90      
21 Bu 1404 1361 47.13      
22 Bu 1259 1220 341.50      
23 Bu 724 701 37.83      
24 Bu 279 271 73.40      

Unscaled Zero Point Vibrational Energy (zpe) 15411.6 cm-1
Scaled (by 0.9689) Zero Point Vibrational Energy (zpe) 14932.3 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 B3LYP/aug-cc-pVQZ
ABC
0.20249 0.07670 0.05563

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVQZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.636 -0.964 0.000
C2 -1.636 0.964 0.000
O3 1.636 0.252 0.000
O4 -1.636 -0.252 0.000
O5 0.582 -1.740 0.000
O6 -0.582 1.740 0.000
H7 2.566 -1.542 0.000
H8 -2.566 1.542 0.000
H9 0.260 1.198 0.000
H10 -0.260 -1.198 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.79881.21663.34951.30893.49741.09454.89322.56341.9106
C23.79883.34951.21663.49741.30894.89321.09451.91062.5634
O31.21663.34953.31162.25392.67072.02074.39611.67022.3874
O43.34951.21663.31162.67072.25394.39612.02072.38741.6702
O51.30893.49742.25392.67073.66861.99434.54722.95531.0008
O63.49741.30892.67072.25393.66864.54721.99431.00082.9553
H71.09454.89322.02074.39611.99434.54725.98763.58142.8469
H84.89321.09454.39612.02074.54721.99435.98762.84693.5814
H92.56341.91061.67022.38742.95531.00083.58142.84692.4519
H101.91062.56342.38741.67021.00082.95532.84693.58142.4519

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 124.487 C1 O5 H10 110.925
C2 O4 H10 124.487 C2 O6 H9 110.925
O3 C1 O5 126.323 O3 C1 H7 121.835
O3 H9 O6 178.266 O4 C2 O6 126.323
O4 C2 H8 121.835 O4 H10 O5 178.266
O5 C1 H7 111.842 O6 C2 H8 111.842
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.175      
2 C 0.175      
3 O -0.590      
4 O -0.590      
5 O -0.570      
6 O -0.570      
7 H 0.699      
8 H 0.699      
9 H 0.287      
10 H 0.287      


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 -31.068 -6.879 0.000
y -6.879 -37.594 0.000
z 0.000 0.000 -34.112
Traceless
 xyz
x 4.785 -6.879 0.000
y -6.879 -5.004 0.000
z 0.000 0.000 0.219
Polar
3z2-r20.438
x2-y26.526
xy-6.879
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.668 -0.505 0.000
y -0.505 7.911 0.000
z 0.000 0.000 4.476


<r2> (average value of r2) Å2
<r2> 183.324
(<r2>)1/2 13.540