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

using model chemistry: M06-2X/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at M06-2X/6-31G**
 hartrees
Energy at 0K-379.399234
Energy at 298.15K-379.405206
HF Energy-379.399234
Nuclear repulsion energy238.091921
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 M06-2X/6-31G**
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 3143 2987 0.00      
2 Ag 2940 2794 0.00      
3 Ag 1761 1673 0.00      
4 Ag 1510 1435 0.00      
5 Ag 1438 1366 0.00      
6 Ag 1324 1258 0.00      
7 Ag 703 668 0.00      
8 Ag 199 189 0.00      
9 Ag 159 151 0.00      
10 Au 1132 1076 83.31      
11 Au 1031 980 191.94      
12 Au 192 183 9.91      
13 Au 77 73 1.97      
14 Bg 1103 1049 0.00      
15 Bg 1011 961 0.00      
16 Bg 286 272 0.00      
17 Bu 3157 3000 269.09      
18 Bu 3079 2926 3070.34      
19 Bu 1857 1765 853.84      
20 Bu 1464 1391 6.53      
21 Bu 1438 1367 101.18      
22 Bu 1320 1254 318.30      
23 Bu 742 705 47.05      
24 Bu 294 279 98.77      

Unscaled Zero Point Vibrational Energy (zpe) 15679.5 cm-1
Scaled (by 0.9504) Zero Point Vibrational Energy (zpe) 14901.8 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 M06-2X/6-31G**
ABC
0.20346 0.07969 0.05726

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.571 -1.128 0.000
C2 -1.571 1.128 0.000
O3 1.571 0.084 0.000
O4 -1.571 -0.084 0.000
O5 0.510 -1.900 0.000
O6 -0.510 1.900 0.000
H7 2.498 -1.720 0.000
H8 -2.498 1.720 0.000
H9 0.304 1.348 0.000
H10 -0.304 -1.348 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86811.21153.31151.31293.67411.09954.96642.78101.8881
C23.86813.31151.21153.67411.31294.96641.09951.88812.7810
O31.21153.31153.14712.25022.76232.02794.38561.78992.3593
O43.31151.21153.14712.76232.25024.38562.02792.35931.7899
O51.31293.67412.25022.76233.93481.99584.70653.25450.9835
O63.67411.31292.76232.25023.93484.70651.99580.98353.2545
H71.09954.96642.02794.38561.99584.70656.06523.77152.8261
H84.96641.09954.38562.02794.70651.99586.06522.82613.7715
H92.78101.88811.78992.35933.25450.98353.77152.82612.7632
H101.88812.78102.35931.78990.98353.25452.82613.77152.7632

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 134.919 C1 O5 H10 109.780
C2 O4 H10 134.919 C2 O6 H9 109.780
O3 C1 O5 126.048 O3 C1 H7 122.609
O3 H9 O6 169.253 O4 C2 O6 126.048
O4 C2 H8 122.609 O4 H10 O5 169.253
O5 C1 H7 111.343 O6 C2 H8 111.343
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.467      
2 C 0.467      
3 O -0.514      
4 O -0.514      
5 O -0.500      
6 O -0.500      
7 H 0.140      
8 H 0.140      
9 H 0.406      
10 H 0.406      


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 -30.097 -6.585 0.000
y -6.585 -36.962 0.000
z 0.000 0.000 -33.209
Traceless
 xyz
x 4.988 -6.585 0.000
y -6.585 -5.309 0.000
z 0.000 0.000 0.321
Polar
3z2-r20.642
x2-y26.864
xy-6.585
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.152 -0.695 0.000
y -0.695 6.351 0.000
z 0.000 0.000 2.563


<r2> (average value of r2) Å2
<r2> 178.292
(<r2>)1/2 13.353