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

using model chemistry: PBEPBE/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 PBEPBE/3-21G*
 hartrees
Energy at 0K-377.056636
Energy at 298.15K-377.063017
HF Energy-377.056636
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy237.156221
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 PBEPBE/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 3036 2895 0.00      
2 Ag 1755 1674 0.00      
3 Ag 1590 1516 0.00      
4 Ag 1398 1333 0.00      
5 Ag 1275 1216 0.00      
6 Ag 866 826 0.00      
7 Ag 662 632 0.00      
8 Ag 344 328 0.00      
9 Ag 148 141 0.00      
10 Au 1279 1220 309.96      
11 Au 1013 966 11.11      
12 Au 224 214 11.82      
13 Au 96 92 0.11      
14 Bg 1235 1177 0.00      
15 Bg 1029 981 0.00      
16 Bg 319 304 0.00      
17 Bu 3033 2892 81.93      
18 Bu 1955 1864 4966.04      
19 Bu 1622 1547 408.31      
20 Bu 1494 1425 225.50      
21 Bu 1391 1326 82.32      
22 Bu 1266 1207 83.02      
23 Bu 742 707 7.65      
24 Bu 509 485 47.75      

Unscaled Zero Point Vibrational Energy (zpe) 14140.6 cm-1
Scaled (by 0.9535) Zero Point Vibrational Energy (zpe) 13483.1 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 PBEPBE/3-21G*
ABC
0.18879 0.08622 0.05919

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.828 0.011 0.000
C2 1.828 -0.011 0.000
O3 -1.260 1.152 0.000
O4 1.260 -1.152 0.000
O5 -1.260 -1.176 0.000
O6 1.260 1.176 0.000
H7 -2.928 -0.035 0.000
H8 2.928 0.035 0.000
H9 0.170 1.207 0.000
H10 -0.170 -1.207 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.65581.27453.29911.31573.30021.10114.75592.32882.0573
C23.65583.29911.27453.30021.31574.75591.10112.05732.3288
O31.27453.29913.41352.32752.51972.04734.33401.43082.5985
O43.29911.27453.41352.51972.32754.33402.04732.59851.4308
O51.31573.30022.32752.51973.44682.02094.35942.77931.0903
O63.30021.31572.51972.32753.44684.35942.02091.09032.7793
H71.10114.75592.04734.33402.02094.35945.85643.33782.9968
H84.75591.10114.33402.04734.35942.02095.85642.99683.3378
H92.32882.05731.43082.59852.77931.09033.33782.99682.4385
H102.05732.32882.59851.43081.09032.77932.99683.33782.4385

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 118.708 C1 O5 H10 117.227
C2 O4 H10 118.708 C2 O6 H9 117.227
O3 C1 O5 127.947 O3 C1 H7 118.863
O3 H9 O6 176.117 O4 C2 O6 127.947
O4 C2 H8 118.863 O4 H10 O5 176.117
O5 C1 H7 113.190 O6 C2 H8 113.190
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.383      
2 C 0.383      
3 O -0.484      
4 O -0.484      
5 O -0.503      
6 O -0.503      
7 H 0.232      
8 H 0.232      
9 H 0.372      
10 H 0.372      


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 -28.173 0.058 0.000
y 0.058 -41.686 0.000
z 0.000 0.000 -33.283
Traceless
 xyz
x 9.311 0.058 0.000
y 0.058 -10.958 0.000
z 0.000 0.000 1.647
Polar
3z2-r23.293
x2-y213.513
xy0.058
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.000 0.183 0.000
y 0.183 5.362 0.000
z 0.000 0.000 1.768


<r2> (average value of r2) Å2
<r2> 173.737
(<r2>)1/2 13.181