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

using model chemistry: B3PW91/aug-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 B3PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-379.465579
Energy at 298.15K-379.471604
HF Energy-379.465579
Nuclear repulsion energy236.799117
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 B3PW91/aug-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 3093 2984 0.00      
2 Ag 2942 2838 0.00      
3 Ag 1695 1635 0.00      
4 Ag 1492 1439 0.00      
5 Ag 1390 1341 0.00      
6 Ag 1276 1231 0.00      
7 Ag 686 662 0.00      
8 Ag 220 212 0.00      
9 Ag 181 174 0.00      
10 Au 1120 1081 93.76      
11 Au 1020 984 86.78      
12 Au 192 186 10.91      
13 Au 77 75 2.12      
14 Bg 1084 1046 0.00      
15 Bg 1014 978 0.00      
16 Bg 272 262 0.00      
17 Bu 3113 3003 600.94      
18 Bu 3052 2944 2445.68      
19 Bu 1780 1717 809.49      
20 Bu 1459 1407 0.48      
21 Bu 1392 1342 48.12      
22 Bu 1278 1233 296.47      
23 Bu 728 702 37.14      
24 Bu 301 290 83.04      

Unscaled Zero Point Vibrational Energy (zpe) 15427.6 cm-1
Scaled (by 0.9646) Zero Point Vibrational Energy (zpe) 14881.5 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 B3PW91/aug-cc-pVDZ
ABC
0.20127 0.07853 0.05649

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.626 -0.948 0.000
C2 -1.626 0.948 0.000
O3 1.626 0.278 0.000
O4 -1.626 -0.278 0.000
O5 0.573 -1.723 0.000
O6 -0.573 1.723 0.000
H7 2.566 -1.523 0.000
H8 -2.566 1.523 0.000
H9 0.271 1.169 0.000
H10 -0.271 -1.169 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.76441.22513.32091.30813.45951.10214.86632.51341.9102
C23.76443.32091.22513.45951.30814.86631.10211.91022.5134
O31.22513.32093.29972.26102.63162.03124.37361.62222.3860
O43.32091.22513.29972.63162.26104.37362.03122.38601.6222
O51.30813.45952.26102.63163.63152.00344.51562.90781.0094
O63.45951.30812.63162.26103.63154.51562.00341.00942.9078
H71.10214.86632.03124.37362.00344.51565.96833.53782.8592
H84.86631.10214.37362.03124.51562.00345.96832.85923.5378
H92.51341.91021.62222.38602.90781.00943.53782.85922.4003
H101.91022.51342.38601.62221.00942.90782.85923.53782.4003

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 123.337 C1 O5 H10 110.363
C2 O4 H10 123.337 C2 O6 H9 110.363
O3 C1 O5 126.358 O3 C1 H7 121.481
O3 H9 O6 179.942 O4 C2 O6 126.358
O4 C2 H8 121.481 O4 H10 O5 179.942
O5 C1 H7 112.161 O6 C2 H8 112.161
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.781      
2 C 0.781      
3 O -0.458      
4 O -0.458      
5 O -0.280      
6 O -0.280      
7 H -0.288      
8 H -0.288      
9 H 0.244      
10 H 0.244      


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 -30.720 -6.955 0.000
y -6.955 -37.443 0.000
z 0.000 0.000 -33.958
Traceless
 xyz
x 4.980 -6.955 0.000
y -6.955 -5.103 0.000
z 0.000 0.000 0.123
Polar
3z2-r20.246
x2-y26.722
xy-6.955
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.653 -0.560 0.000
y -0.560 7.827 0.000
z 0.000 0.000 4.345


<r2> (average value of r2) Å2
<r2> 180.765
(<r2>)1/2 13.445