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

using model chemistry: PBE1PBE/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBE1PBE/STO-3G
 hartrees
Energy at 0K-374.043773
Energy at 298.15K-374.050417
HF Energy-374.043773
Nuclear repulsion energy239.321026
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 PBE1PBE/STO-3G
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 3319 2928 0.00      
2 Ag 2260 1994 0.00      
3 Ag 1857 1638 0.00      
4 Ag 1469 1296 0.00      
5 Ag 1396 1231 0.00      
6 Ag 1114 983 0.00      
7 Ag 732 646 0.00      
8 Ag 551 486 0.00      
9 Ag 252 222 0.00      
10 Au 1479 1304 191.51      
11 Au 977 862 8.48      
12 Au 248 219 5.10      
13 Au 95 84 0.00      
14 Bg 1476 1302 0.00      
15 Bg 1001 883 0.00      
16 Bg 335 296 0.00      
17 Bu 3317 2926 0.29      
18 Bu 2856 2519 6319.75      
19 Bu 1849 1631 203.45      
20 Bu 1789 1578 92.95      
21 Bu 1458 1286 51.41      
22 Bu 1366 1205 78.47      
23 Bu 783 691 4.99      
24 Bu 665 587 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 16321.0 cm-1
Scaled (by 0.8821) Zero Point Vibrational Energy (zpe) 14396.8 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 PBE1PBE/STO-3G
ABC
0.18424 0.09241 0.06154

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/STO-3G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.904 -0.275 0.000
C2 -1.904 0.275 0.000
O3 1.330 0.827 0.000
O4 -1.330 -0.827 0.000
O5 1.330 -1.499 0.000
O6 -1.330 1.499 0.000
H7 3.014 -0.384 0.000
H8 -3.014 0.384 0.000
H9 -0.326 1.381 0.000
H10 0.326 -1.381 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.84641.24223.28051.35223.68811.11624.96182.77681.9274
C23.84643.28051.24223.68811.35224.96181.11621.92742.7768
O31.24223.28053.13282.32652.74372.07474.36701.74592.4264
O43.28051.24223.13282.74372.32654.36702.07472.42641.7459
O51.35223.68812.32652.74374.00832.01984.73513.32241.0115
O63.68811.35222.74372.32654.00834.73512.01981.01153.3224
H71.11624.96182.07474.36702.01984.73516.07743.77782.8677
H84.96181.11624.36702.07474.73512.01986.07742.86773.7778
H92.77681.92741.74592.42643.32241.01153.77782.86772.8383
H101.92742.77682.42641.74591.01153.32242.86773.77782.8383

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 135.992 C1 O5 H10 108.401
C2 O4 H10 135.992 C2 O6 H9 108.401
O3 C1 O5 127.417 O3 C1 H7 123.126
O3 H9 O6 168.190 O4 C2 O6 127.417
O4 C2 H8 123.126 O4 H10 O5 168.190
O5 C1 H7 109.457 O6 C2 H8 109.457
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.153      
2 C 0.153      
3 O -0.240      
4 O -0.240      
5 O -0.240      
6 O -0.240      
7 H 0.092      
8 H 0.092      
9 H 0.235      
10 H 0.235      


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 -37.244 0.001 0.000
y 0.001 -27.711 0.000
z 0.000 0.000 -29.810
Traceless
 xyz
x -8.484 0.001 0.000
y 0.001 5.816 0.000
z 0.000 0.000 2.668
Polar
3z2-r25.336
x2-y2-9.533
xy0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.886 0.000 0.000
y 0.000 5.155 0.000
z 0.000 0.000 0.778


<r2> (average value of r2) Å2
<r2> 166.212
(<r2>)1/2 12.892