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

using model chemistry: M06-2X/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 M06-2X/3-21G
 hartrees
Energy at 0K-377.281310
Energy at 298.15K-377.287923
HF Energy-377.281310
Nuclear repulsion energy239.314626
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/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 3141 3011 0.00      
2 Ag 2117 2030 0.00      
3 Ag 1653 1585 0.00      
4 Ag 1477 1416 0.00      
5 Ag 1395 1337 0.00      
6 Ag 1324 1270 0.00      
7 Ag 713 684 0.00      
8 Ag 348 333 0.00      
9 Ag 183 176 0.00      
10 Au 1293 1240 393.85      
11 Au 1088 1043 42.16      
12 Au 230 220 19.29      
13 Au 103 99 0.63      
14 Bg 1241 1190 0.00      
15 Bg 1099 1054 0.00      
16 Bg 324 310 0.00      
17 Bu 3139 3009 36.24      
18 Bu 2404 2304 4372.43      
19 Bu 1744 1672 641.41      
20 Bu 1527 1464 227.39      
21 Bu 1460 1399 106.22      
22 Bu 1336 1281 205.13      
23 Bu 769 738 18.20      
24 Bu 489 469 97.34      

Unscaled Zero Point Vibrational Energy (zpe) 15298.8 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 14667.0 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/3-21G
ABC
0.19616 0.08615 0.05986

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.914 -0.216 0.000
C2 -1.914 0.216 0.000
O3 1.337 0.868 0.000
O4 -1.337 -0.868 0.000
O5 1.337 -1.418 0.000
O6 -1.337 1.418 0.000
H7 3.002 -0.306 0.000
H8 -3.002 0.306 0.000
H9 -0.334 1.391 0.000
H10 0.334 -1.391 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85301.22803.31631.33343.63881.09154.94412.76331.9698
C23.85303.31631.22803.63881.33344.94411.09151.96982.7633
O31.22803.31633.18842.28582.73022.03714.37561.75072.4720
O43.31631.22803.18842.73022.28584.37562.03712.47201.7507
O51.33343.63882.28582.73023.89772.00224.66903.26821.0038
O63.63881.33342.73022.28583.89774.66902.00221.00383.2682
H71.09154.94412.03714.37562.00224.66906.03533.74252.8807
H84.94411.09154.37562.03714.66902.00226.03532.88073.7425
H92.76331.96981.75072.47203.26821.00383.74252.88072.8611
H101.96982.76332.47201.75071.00383.26822.88073.74252.8611

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 135.419 C1 O5 H10 114.129
C2 O4 H10 135.419 C2 O6 H9 114.129
O3 C1 O5 126.310 O3 C1 H7 122.766
O3 H9 O6 164.142 O4 C2 O6 126.310
O4 C2 H8 122.766 O4 H10 O5 164.142
O5 C1 H7 110.925 O6 C2 H8 110.925
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.495      
2 C 0.495      
3 O -0.557      
4 O -0.557      
5 O -0.603      
6 O -0.603      
7 H 0.238      
8 H 0.238      
9 H 0.426      
10 H 0.426      


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 -26.822 0.010 0.000
y 0.010 -42.847 0.000
z 0.000 0.000 -33.182
Traceless
 xyz
x 11.193 0.010 0.000
y 0.010 -12.845 0.000
z 0.000 0.000 1.652
Polar
3z2-r23.304
x2-y216.026
xy0.010
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.024 -0.321 0.000
y -0.321 5.119 0.000
z 0.000 0.000 1.639


<r2> (average value of r2) Å2
<r2> 172.115
(<r2>)1/2 13.119