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

using model chemistry: PBE1PBE/6-311G**

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/6-311G**
 hartrees
Energy at 0K-379.253583
Energy at 298.15K-379.259604
HF Energy-379.253583
Nuclear repulsion energy237.591522
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/6-311G**
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 3093 2967 0.00      
2 Ag 3074 2949 0.00      
3 Ag 1746 1675 0.00      
4 Ag 1501 1440 0.00      
5 Ag 1414 1356 0.00      
6 Ag 1297 1245 0.00      
7 Ag 700 672 0.00      
8 Ag 215 206 0.00      
9 Ag 176 169 0.00      
10 Au 1121 1075 91.13      
11 Au 1022 980 155.00      
12 Au 192 184 8.99      
13 Au 78 75 2.17      
14 Bg 1092 1048 0.00      
15 Bg 1005 964 0.00      
16 Bg 281 270 0.00      
17 Bu 3207 3077 2269.91      
18 Bu 3080 2955 562.62      
19 Bu 1828 1754 832.81      
20 Bu 1465 1406 2.97      
21 Bu 1415 1358 56.91      
22 Bu 1297 1244 320.22      
23 Bu 735 705 45.82      
24 Bu 291 280 76.20      

Unscaled Zero Point Vibrational Energy (zpe) 15663.2 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 15027.3 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/6-311G**
ABC
0.20405 0.07838 0.05663

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.573 -1.117 0.000
C2 -1.573 1.117 0.000
O3 1.573 0.091 0.000
O4 -1.573 -0.091 0.000
O5 0.516 -1.891 0.000
O6 -0.516 1.891 0.000
H7 2.499 -1.711 0.000
H8 -2.499 1.711 0.000
H9 0.296 1.338 0.000
H10 -0.296 -1.338 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85861.20773.30931.30973.66241.09964.95732.76751.8817
C23.85863.30931.20773.66241.30974.95731.09961.88172.7675
O31.20773.30933.15132.24582.75802.02534.38211.78542.3523
O43.30931.20773.15132.75802.24584.38212.02532.35231.7854
O51.30973.66242.24582.75803.92031.99044.69703.23640.9824
O63.66241.30972.75802.24583.92034.69701.99040.98243.2364
H71.09964.95732.02534.38211.99044.69706.05623.76132.8190
H84.95731.09964.38212.02534.69701.99046.05622.81903.7613
H92.76751.88171.78542.35233.23640.98243.76132.81902.7405
H101.88172.76752.35231.78540.98243.23642.81903.76132.7405

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 134.316 C1 O5 H10 109.530
C2 O4 H10 134.316 C2 O6 H9 109.530
O3 C1 O5 126.219 O3 C1 H7 122.673
O3 H9 O6 169.935 O4 C2 O6 126.219
O4 C2 H8 122.673 O4 H10 O5 169.935
O5 C1 H7 111.108 O6 C2 H8 111.108
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.279      
2 C 0.279      
3 O -0.406      
4 O -0.406      
5 O -0.288      
6 O -0.288      
7 H 0.121      
8 H 0.121      
9 H 0.294      
10 H 0.294      


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 -30.567 -6.655 0.000
y -6.655 -37.073 0.000
z 0.000 0.000 -33.308
Traceless
 xyz
x 4.624 -6.655 0.000
y -6.655 -5.136 0.000
z 0.000 0.000 0.512
Polar
3z2-r21.024
x2-y26.506
xy-6.655
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.240 -0.682 0.000
y -0.682 6.563 0.000
z 0.000 0.000 2.866


<r2> (average value of r2) Å2
<r2> 180.158
(<r2>)1/2 13.422