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

using model chemistry: B3LYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-377.449180
Energy at 298.15K-377.455593
HF Energy-377.449180
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy237.125718
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/3-21G*
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 3120 3001 0.00      
2 Ag 2219 2134 0.00      
3 Ag 1630 1568 0.00      
4 Ag 1475 1419 0.00      
5 Ag 1392 1339 0.00      
6 Ag 1276 1227 0.00      
7 Ag 688 662 0.00      
8 Ag 293 282 0.00      
9 Ag 193 185 0.00      
10 Au 1235 1188 321.73      
11 Au 1057 1017 48.50      
12 Au 220 212 12.82      
13 Au 97 94 0.51      
14 Bg 1184 1139 0.00      
15 Bg 1073 1032 0.00      
16 Bg 315 303 0.00      
17 Bu 3118 3000 57.70      
18 Bu 2485 2391 3830.88      
19 Bu 1691 1627 544.93      
20 Bu 1511 1454 152.16      
21 Bu 1438 1383 91.92      
22 Bu 1269 1221 208.96      
23 Bu 742 713 15.40      
24 Bu 423 407 97.94      

Unscaled Zero Point Vibrational Energy (zpe) 15071.5 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 14498.8 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/3-21G*
ABC
0.19363 0.08346 0.05832

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.919 -0.212 0.000
C2 -1.919 0.212 0.000
O3 1.345 0.876 0.000
O4 -1.345 -0.876 0.000
O5 1.345 -1.419 0.000
O6 -1.345 1.419 0.000
H7 3.009 -0.307 0.000
H8 -3.009 0.307 0.000
H9 -0.340 1.385 0.000
H10 0.340 -1.385 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86081.23043.33031.33603.64841.09424.95482.76651.9669
C23.86083.33031.23043.64841.33604.95481.09421.96692.7665
O31.23043.33033.20992.29482.74382.04184.39061.76002.4746
O43.33031.23043.20992.74382.29484.39062.04182.47461.7600
O51.33603.64842.29482.74383.90972.00114.68333.27121.0055
O63.64841.33602.74382.29483.90974.68332.00111.00553.2712
H71.09424.95482.04184.39062.00114.68336.04893.75212.8784
H84.95481.09424.39062.04184.68332.00116.04892.87843.7521
H92.76651.96691.76002.47463.27121.00553.75212.87842.8528
H101.96692.76652.47461.76001.00553.27122.87843.75212.8528

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 134.623 C1 O5 H10 113.534
C2 O4 H10 134.623 C2 O6 H9 113.534
O3 C1 O5 126.758 O3 C1 H7 122.779
O3 H9 O6 165.086 O4 C2 O6 126.758
O4 C2 H8 122.779 O4 H10 O5 165.086
O5 C1 H7 110.463 O6 C2 H8 110.463
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.456      
2 C 0.456      
3 O -0.512      
4 O -0.512      
5 O -0.557      
6 O -0.557      
7 H 0.221      
8 H 0.221      
9 H 0.392      
10 H 0.392      


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 -27.469 -0.073 0.000
y -0.073 -41.912 0.000
z 0.000 0.000 -32.979
Traceless
 xyz
x 9.977 -0.073 0.000
y -0.073 -11.688 0.000
z 0.000 0.000 1.712
Polar
3z2-r23.424
x2-y214.443
xy-0.073
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.424 -0.379 0.000
y -0.379 5.216 0.000
z 0.000 0.000 1.699


<r2> (average value of r2) Å2
<r2> 175.888
(<r2>)1/2 13.262