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

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-379.135665
Energy at 298.15K-379.141650
HF Energy-379.135665
Nuclear repulsion energy236.178336
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/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3135 2988 0.00      
2 Ag 3098 2953 0.00      
3 Ag 1775 1692 0.00      
4 Ag 1504 1433 0.00      
5 Ag 1431 1364 0.00      
6 Ag 1302 1241 0.00      
7 Ag 694 661 0.00      
8 Ag 223 212 0.00      
9 Ag 179 171 0.00      
10 Au 1112 1060 69.45      
11 Au 999 952 202.55      
12 Au 184 176 7.20      
13 Au 75 72 2.09      
14 Bg 1086 1035 0.00      
15 Bg 979 933 0.00      
16 Bg 279 266 0.00      
17 Bu 3224 3073 1973.31      
18 Bu 3122 2976 681.56      
19 Bu 1851 1764 766.03      
20 Bu 1465 1397 2.29      
21 Bu 1429 1362 64.69      
22 Bu 1299 1238 316.04      
23 Bu 728 694 48.65      
24 Bu 296 282 66.88      

Unscaled Zero Point Vibrational Energy (zpe) 15734.2 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 14996.3 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/6-31G**
ABC
0.20179 0.07698 0.05572

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.578 -1.115 0.000
C2 -1.578 1.115 0.000
O3 1.578 0.098 0.000
O4 -1.578 -0.098 0.000
O5 0.523 -1.896 0.000
O6 -0.523 1.896 0.000
H7 2.506 -1.707 0.000
H8 -2.506 1.707 0.000
H9 0.295 1.344 0.000
H10 -0.295 -1.344 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.86491.21293.31651.31303.67211.10024.96422.77341.8870
C23.86493.31651.21293.67211.31304.96421.10021.88702.7734
O31.21293.31653.16282.25612.76602.02944.38961.78862.3636
O43.31651.21293.16282.76602.25614.38962.02942.36361.7886
O51.31303.67212.25612.76603.93421.99144.70733.24780.9872
O63.67211.31302.76602.25613.93424.70731.99140.98723.2478
H71.10024.96422.02944.38961.99144.70736.06393.76762.8238
H84.96421.10024.38962.02944.70731.99146.06392.82383.7676
H92.77341.88701.78862.36363.24780.98723.76762.82382.7510
H101.88702.77342.36361.78860.98723.24782.82383.76762.7510

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 134.139 C1 O5 H10 109.433
C2 O4 H10 134.139 C2 O6 H9 109.433
O3 C1 O5 126.517 O3 C1 H7 122.572
O3 H9 O6 169.910 O4 C2 O6 126.517
O4 C2 H8 122.572 O4 H10 O5 169.910
O5 C1 H7 110.911 O6 C2 H8 110.911
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.377      
2 C 0.377      
3 O -0.479      
4 O -0.479      
5 O -0.548      
6 O -0.548      
7 H 0.179      
8 H 0.179      
9 H 0.471      
10 H 0.471      


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 -30.427 -6.376 0.000
y -6.376 -36.792 0.000
z 0.000 0.000 -33.184
Traceless
 xyz
x 4.561 -6.376 0.000
y -6.376 -4.986 0.000
z 0.000 0.000 0.425
Polar
3z2-r20.850
x2-y26.365
xy-6.376
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.170 -0.683 0.000
y -0.683 6.355 0.000
z 0.000 0.000 2.540


<r2> (average value of r2) Å2
<r2> 182.545
(<r2>)1/2 13.511