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

using model chemistry: B3LYPultrafine/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at B3LYPultrafine/TZVP
 hartrees
Energy at 0K-379.703292
Energy at 298.15K-379.709166
HF Energy-379.703292
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy235.332984
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 B3LYPultrafine/TZVP
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 3109 2995 0.00      
2 Ag 3074 2961 0.00      
3 Ag 1708 1646 0.00      
4 Ag 1467 1413 0.00      
5 Ag 1407 1355 0.00      
6 Ag 1250 1204 0.00      
7 Ag 687 662 0.00      
8 Ag 204 196 0.00      
9 Ag 171 164 0.00      
10 Au 1096 1056 66.82      
11 Au 986 950 192.92      
12 Au 181 175 9.07      
13 Au 78 76 2.46      
14 Bg 1075 1036 0.00      
15 Bg 958 923 0.00      
16 Bg 258 249 0.00      
17 Bu 3212 3094 2087.02      
18 Bu 3068 2956 367.61      
19 Bu 1775 1710 828.68      
20 Bu 1445 1393 2.60      
21 Bu 1401 1349 49.29      
22 Bu 1253 1207 365.85      
23 Bu 715 689 43.31      
24 Bu 267 257 68.18      

Unscaled Zero Point Vibrational Energy (zpe) 15421.4 cm-1
Scaled (by 0.9634) Zero Point Vibrational Energy (zpe) 14856.9 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 B3LYPultrafine/TZVP
ABC
0.20260 0.07560 0.05506

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.625 -1.000 0.000
C2 -1.625 1.000 0.000
O3 1.625 0.218 0.000
O4 -1.625 -0.218 0.000
O5 0.568 -1.777 0.000
O6 -0.568 1.777 0.000
H7 2.555 -1.580 0.000
H8 -2.555 1.580 0.000
H9 0.272 1.232 0.000
H10 -0.272 -1.232 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.81701.21833.34361.31233.53881.09534.91222.61051.9111
C23.81703.34361.21833.53881.31234.91221.09531.91112.6105
O31.21833.34363.28012.25832.69082.02394.39641.69142.3878
O43.34361.21833.28012.69082.25834.39642.02392.38781.6914
O51.31233.53882.25832.69083.73111.99684.58463.02351.0008
O63.53881.31232.69082.25833.73114.58461.99681.00083.0235
H71.09534.91222.02394.39641.99684.58466.00753.62192.8476
H84.91221.09534.39642.02394.58461.99686.00752.84763.6219
H92.61051.91111.69142.38783.02351.00083.62192.84762.5229
H101.91112.61052.38781.69141.00083.02352.84763.62192.5229

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 126.821 C1 O5 H10 110.696
C2 O4 H10 126.821 C2 O6 H9 110.696
O3 C1 O5 126.301 O3 C1 H7 121.949
O3 H9 O6 176.183 O4 C2 O6 126.301
O4 C2 H8 121.949 O4 H10 O5 176.183
O5 C1 H7 111.750 O6 C2 H8 111.750
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.265      
2 C 0.265      
3 O -0.412      
4 O -0.412      
5 O -0.267      
6 O -0.267      
7 H 0.112      
8 H 0.112      
9 H 0.303      
10 H 0.303      


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 -31.282 -6.972 0.000
y -6.972 -38.096 0.000
z 0.000 0.000 -34.001
Traceless
 xyz
x 4.766 -6.972 0.000
y -6.972 -5.454 0.000
z 0.000 0.000 0.688
Polar
3z2-r21.375
x2-y26.814
xy-6.972
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.663 -0.531 0.000
y -0.531 7.224 0.000
z 0.000 0.000 3.400


<r2> (average value of r2) Å2
<r2> 185.177
(<r2>)1/2 13.608