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

using model chemistry: PBEPBEultrafine/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-379.182049
Energy at 298.15K-379.188186
HF Energy-379.182049
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.786446
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 PBEPBEultrafine/cc-pVDZ
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 2983 2966 0.00      
2 Ag 2499 2485 0.00      
3 Ag 1614 1604 0.00      
4 Ag 1481 1472 0.00      
5 Ag 1344 1336 0.00      
6 Ag 1261 1254 0.00      
7 Ag 674 670 0.00      
8 Ag 241 240 0.00      
9 Ag 184 183 0.00      
10 Au 1132 1125 157.48      
11 Au 987 982 26.84      
12 Au 203 202 7.23      
13 Au 81 81 1.27      
14 Bg 1084 1078 0.00      
15 Bg 1001 995 0.00      
16 Bg 299 297 0.00      
17 Bu 2984 2967 14.70      
18 Bu 2701 2686 3954.52      
19 Bu 1740 1730 684.60      
20 Bu 1445 1436 6.60      
21 Bu 1353 1345 42.51      
22 Bu 1260 1253 214.83      
23 Bu 727 723 24.86      
24 Bu 347 345 96.77      

Unscaled Zero Point Vibrational Energy (zpe) 14811.5 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 14725.6 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 PBEPBEultrafine/cc-pVDZ
ABC
0.19680 0.08096 0.05736

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.819 0.006 0.000
C2 1.819 -0.006 0.000
O3 -1.251 1.124 0.000
O4 1.251 -1.124 0.000
O5 -1.251 -1.159 0.000
O6 1.251 1.159 0.000
H7 -2.932 -0.039 0.000
H8 2.932 0.039 0.000
H9 0.179 1.109 0.000
H10 -0.179 -1.109 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.63731.25353.27111.29613.27961.11404.75052.28201.9823
C23.63733.27111.25353.27961.29614.75051.11401.98232.2820
O31.25353.27113.36342.28312.50292.04364.32131.43062.4763
O43.27111.25353.36342.50292.28314.32132.04362.47631.4306
O51.29613.27962.28312.50293.41192.01964.35152.68151.0733
O63.27961.29612.50292.28313.41194.35152.01961.07332.6815
H71.11404.75052.04364.32132.01964.35155.86403.31602.9529
H84.75051.11404.32132.04364.35152.01965.86402.95293.3160
H92.28201.98231.43062.47632.68151.07333.31602.95292.2460
H101.98232.28202.47631.43061.07332.68152.95293.31602.2460

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 116.311 C1 O5 H10 113.240
C2 O4 H10 116.311 C2 O6 H9 113.240
O3 C1 O5 127.130 O3 C1 H7 119.237
O3 H9 O6 176.682 O4 C2 O6 127.130
O4 C2 H8 119.237 O4 H10 O5 176.682
O5 C1 H7 113.633 O6 C2 H8 113.633
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.192      
2 C 0.192      
3 O -0.270      
4 O -0.270      
5 O -0.146      
6 O -0.146      
7 H 0.042      
8 H 0.042      
9 H 0.182      
10 H 0.182      


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 -27.638 0.956 0.000
y 0.956 -40.084 0.000
z 0.000 0.000 -33.171
Traceless
 xyz
x 8.990 0.956 0.000
y 0.956 -9.680 0.000
z 0.000 0.000 0.690
Polar
3z2-r21.379
x2-y212.446
xy0.956
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.638 0.451 0.000
y 0.451 5.947 0.000
z 0.000 0.000 2.704


<r2> (average value of r2) Å2
<r2> 178.102
(<r2>)1/2 13.345