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

using model chemistry: HF/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 HF/3-21G
 hartrees
Energy at 0K-375.443169
Energy at 298.15K-375.449442
HF Energy-375.443169
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy237.394551
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 HF/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 3341 3025 0.00      
2 Ag 3217 2913 0.00      
3 Ag 1821 1649 0.00      
4 Ag 1595 1444 0.00      
5 Ag 1548 1402 0.00      
6 Ag 1333 1207 0.00      
7 Ag 732 663 0.00      
8 Ag 250 226 0.00      
9 Ag 184 166 0.00      
10 Au 1231 1115 44.02      
11 Au 1120 1015 524.66      
12 Au 206 186 23.27      
13 Au 96 87 1.27      
14 Bg 1218 1103 0.00      
15 Bg 1079 977 0.00      
16 Bg 293 265 0.00      
17 Bu 3368 3050 841.73      
18 Bu 3309 2996 1645.57      
19 Bu 1880 1703 841.78      
20 Bu 1569 1421 4.02      
21 Bu 1543 1398 217.21      
22 Bu 1324 1199 472.25      
23 Bu 760 688 60.09      
24 Bu 328 297 77.34      

Unscaled Zero Point Vibrational Energy (zpe) 16670.4 cm-1
Scaled (by 0.9056) Zero Point Vibrational Energy (zpe) 15096.7 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 HF/3-21G
ABC
0.20325 0.07897 0.05688

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.872 -0.135 0.000
C2 -1.872 0.135 0.000
O3 1.295 0.940 0.000
O4 -1.295 -0.940 0.000
O5 1.295 -1.313 0.000
O6 -1.295 1.313 0.000
H7 2.943 -0.209 0.000
H8 -2.943 0.209 0.000
H9 -0.297 1.296 0.000
H10 0.297 -1.296 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.75351.21973.26801.31183.48231.07374.82722.59781.9571
C23.75353.26801.21973.48231.31184.82721.07371.95712.5978
O31.21973.26803.20092.25302.61722.00864.30101.63112.4489
O43.26801.21973.20092.61722.25304.30102.00862.44891.6311
O51.31183.48232.25302.61723.68861.98374.50323.05610.9989
O63.48231.31182.61722.25303.68864.50321.98370.99893.0561
H71.07374.82722.00864.30101.98374.50325.90093.57192.8612
H84.82721.07374.30102.00864.50321.98375.90092.86123.5719
H92.59781.95711.63112.44893.05610.99893.57192.86122.6588
H101.95712.59782.44891.63110.99893.05612.86123.57192.6588

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 130.815 C1 O5 H10 115.101
C2 O4 H10 130.815 C2 O6 H9 115.101
O3 C1 O5 125.709 O3 C1 H7 122.157
O3 H9 O6 168.375 O4 C2 O6 125.709
O4 C2 H8 122.157 O4 H10 O5 168.375
O5 C1 H7 112.133 O6 C2 H8 112.133
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.680      
2 C 0.680      
3 O -0.659      
4 O -0.659      
5 O -0.740      
6 O -0.740      
7 H 0.246      
8 H 0.246      
9 H 0.473      
10 H 0.473      


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 -24.975 -0.079 0.000
y -0.079 -43.533 0.000
z 0.000 0.000 -32.822
Traceless
 xyz
x 13.202 -0.079 0.000
y -0.079 -14.634 0.000
z 0.000 0.000 1.432
Polar
3z2-r22.864
x2-y218.558
xy-0.079
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.161 -0.527 0.000
y -0.527 4.747 0.000
z 0.000 0.000 1.535


<r2> (average value of r2) Å2
<r2> 179.714
(<r2>)1/2 13.406