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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-77.533347
Energy at 298.15K-77.539365
HF Energy-77.533347
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy131.319914
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/CEP-121G
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 3126 3046 0.00      
2 Ag 2811 2740 0.00      
3 Ag 1597 1557 0.00      
4 Ag 1431 1395 0.00      
5 Ag 1374 1339 0.00      
6 Ag 1197 1167 0.00      
7 Ag 641 624 0.00      
8 Ag 230 224 0.00      
9 Ag 176 171 0.00      
10 Au 1144 1115 310.08      
11 Au 1002 976 70.81      
12 Au 197 192 15.97      
13 Au 97 94 1.53      
14 Bg 1099 1071 0.00      
15 Bg 1008 982 0.00      
16 Bg 273 266 0.00      
17 Bu 3126 3047 6.29      
18 Bu 2948 2873 2510.58      
19 Bu 1635 1593 750.19      
20 Bu 1435 1398 14.01      
21 Bu 1374 1339 117.90      
22 Bu 1191 1161 343.15      
23 Bu 670 653 37.63      
24 Bu 305 297 83.41      

Unscaled Zero Point Vibrational Energy (zpe) 15043.5 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 14659.9 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 B3LYP/CEP-121G
ABC
0.19212 0.07787 0.05541

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.942 -0.215 0.000
C2 -1.942 0.215 0.000
O3 1.350 0.879 0.000
O4 -1.350 -0.879 0.000
O5 1.350 -1.426 0.000
O6 -1.350 1.426 0.000
H7 3.037 -0.296 0.000
H8 -3.037 0.296 0.000
H9 -0.354 1.406 0.000
H10 0.354 -1.406 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.90791.24363.35831.34833.67861.09745.00472.81071.9847
C23.90793.35831.24363.67861.34835.00471.09741.98472.8107
O31.24363.35833.22152.30492.75512.05514.42511.78392.4919
O43.35831.24363.22152.75512.30494.42512.05512.49191.7839
O51.34833.67862.30492.75513.92792.03034.71253.30540.9960
O63.67861.34832.75512.30493.92794.71252.03030.99603.3054
H71.09745.00472.05514.42512.03034.71256.10183.79382.9029
H85.00471.09744.42512.05514.71252.03036.10182.90293.7938
H92.81071.98471.78392.49193.30540.99603.79382.90292.8994
H101.98472.81072.49191.78390.99603.30542.90293.79382.8994

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 135.619 C1 O5 H10 114.860
C2 O4 H10 135.619 C2 O6 H9 114.860
O3 C1 O5 125.525 O3 C1 H7 122.654
O3 H9 O6 163.996 O4 C2 O6 125.525
O4 C2 H8 122.654 O4 H10 O5 163.996
O5 C1 H7 111.822 O6 C2 H8 111.822
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.022      
2 C 0.022      
3 O -0.260      
4 O -0.260      
5 O -0.286      
6 O -0.286      
7 H 0.163      
8 H 0.163      
9 H 0.361      
10 H 0.361      


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 -26.555 -0.182 0.000
y -0.182 -44.528 0.000
z 0.000 0.000 -34.340
Traceless
 xyz
x 12.880 -0.182 0.000
y -0.182 -14.081 0.000
z 0.000 0.000 1.201
Polar
3z2-r22.402
x2-y217.974
xy-0.182
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.895 -0.541 0.000
y -0.541 6.517 0.000
z 0.000 0.000 2.842


<r2> (average value of r2) Å2
<r2> 145.760
(<r2>)1/2 12.073