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

using model chemistry: B3LYP/SDD

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/SDD
 hartrees
Energy at 0K-379.499206
Energy at 298.15K-379.505334
HF Energy-379.499206
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy234.797363
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/SDD
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 3176 3053 0.00      
2 Ag 2713 2608 0.00      
3 Ag 1625 1562 0.00      
4 Ag 1460 1403 0.00      
5 Ag 1388 1334 0.00      
6 Ag 1227 1180 0.00      
7 Ag 654 628 0.00      
8 Ag 245 236 0.00      
9 Ag 181 174 0.00      
10 Au 1202 1155 401.01      
11 Au 1024 984 27.26      
12 Au 207 199 16.44      
13 Au 106 102 1.32      
14 Bg 1155 1110 0.00      
15 Bg 1025 985 0.00      
16 Bg 290 279 0.00      
17 Bu 3175 3052 21.94      
18 Bu 2885 2774 2857.07      
19 Bu 1659 1595 793.80      
20 Bu 1472 1415 66.56      
21 Bu 1397 1343 101.54      
22 Bu 1220 1173 316.56      
23 Bu 692 665 30.97      
24 Bu 330 317 92.44      

Unscaled Zero Point Vibrational Energy (zpe) 15252.4 cm-1
Scaled (by 0.9613) Zero Point Vibrational Energy (zpe) 14662.2 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/SDD
ABC
0.19388 0.08018 0.05672

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/SDD

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.933 -0.212 0.000
C2 -1.933 0.212 0.000
O3 1.346 0.880 0.000
O4 -1.346 -0.880 0.000
O5 1.346 -1.419 0.000
O6 -1.346 1.419 0.000
H7 3.027 -0.297 0.000
H8 -3.027 0.297 0.000
H9 -0.349 1.409 0.000
H10 0.349 -1.409 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.88921.23923.34661.34243.66251.09734.98612.79931.9855
C23.88923.34661.23923.66251.34244.98611.09731.98552.7993
O31.23923.34663.21632.29882.74602.05174.41191.77612.4965
O43.34661.23923.21632.74602.29884.41192.05172.49651.7761
O51.34243.66252.29882.74603.91232.02104.69803.29750.9971
O63.66251.34242.74602.29883.91234.69802.02100.99713.2975
H71.09734.98612.05174.41192.02104.69806.08323.78282.8996
H84.98611.09734.41192.05174.69802.02106.08322.89963.7828
H92.79931.98551.77612.49653.29750.99713.78282.89962.9034
H101.98552.79932.49651.77610.99713.29752.89963.78282.9034

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 135.608 C1 O5 H10 115.341
C2 O4 H10 135.608 C2 O6 H9 115.341
O3 C1 O5 125.814 O3 C1 H7 122.714
O3 H9 O6 163.237 O4 C2 O6 125.814
O4 C2 H8 122.714 O4 H10 O5 163.237
O5 C1 H7 111.471 O6 C2 H8 111.471
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/SDD Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.089      
2 C 0.089      
3 O -0.348      
4 O -0.348      
5 O -0.391      
6 O -0.391      
7 H 0.232      
8 H 0.232      
9 H 0.417      
10 H 0.417      


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 -26.456 -0.259 0.000
y -0.259 -44.077 0.000
z 0.000 0.000 -34.110
Traceless
 xyz
x 12.638 -0.259 0.000
y -0.259 -13.794 0.000
z 0.000 0.000 1.156
Polar
3z2-r22.313
x2-y217.622
xy-0.259
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.346 -0.449 0.000
y -0.449 6.110 0.000
z 0.000 0.000 2.391


<r2> (average value of r2) Å2
<r2> 180.854
(<r2>)1/2 13.448