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

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-379.182057
Energy at 298.15K-379.188197
HF Energy-379.182057
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy236.789721
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/cc-pVDZ
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 2983 2965 0.00      
2 Ag 2493 2478 0.00      
3 Ag 1612 1603 0.00      
4 Ag 1479 1470 0.00      
5 Ag 1344 1336 0.00      
6 Ag 1261 1254 0.00      
7 Ag 674 670 0.00      
8 Ag 240 238 0.00      
9 Ag 184 183 0.00      
10 Au 1133 1127 158.15      
11 Au 988 982 26.10      
12 Au 204 203 7.31      
13 Au 82 82 1.25      
14 Bg 1086 1080 0.00      
15 Bg 1001 995 0.00      
16 Bg 299 298 0.00      
17 Bu 2984 2967 15.71      
18 Bu 2696 2681 3958.72      
19 Bu 1740 1729 685.56      
20 Bu 1446 1438 6.84      
21 Bu 1353 1345 42.55      
22 Bu 1261 1253 213.90      
23 Bu 727 723 24.59      
24 Bu 347 345 97.29      

Unscaled Zero Point Vibrational Energy (zpe) 14808.1 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 14722.2 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/cc-pVDZ
ABC
0.19680 0.08097 0.05737

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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
C13.63711.25353.27111.29623.27941.11404.75032.28191.9825
C23.63713.27111.25353.27941.29624.75031.11401.98252.2819
O31.25353.27113.36362.28322.50282.04354.32131.43052.4766
O43.27111.25353.36362.50282.28324.32132.04352.47661.4305
O51.29623.27942.28322.50283.41172.01964.35122.68161.0733
O63.27941.29622.50282.28323.41174.35122.01961.07332.6816
H71.11404.75032.04354.32132.01964.35125.86383.31582.9531
H84.75031.11404.32132.04354.35122.01965.86382.95313.3158
H92.28191.98251.43052.47662.68161.07333.31582.95312.2464
H101.98252.28192.47661.43051.07332.68162.95313.31582.2464

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 116.310 C1 O5 H10 113.252
C2 O4 H10 116.310 C2 O6 H9 113.252
O3 C1 O5 127.136 O3 C1 H7 119.229
O3 H9 O6 176.698 O4 C2 O6 127.136
O4 C2 H8 119.229 O4 H10 O5 176.698
O5 C1 H7 113.636 O6 C2 H8 113.636
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/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 -27.639 0.954 0.000
y 0.954 -40.083 0.000
z 0.000 0.000 -33.172
Traceless
 xyz
x 8.988 0.954 0.000
y 0.954 -9.677 0.000
z 0.000 0.000 0.689
Polar
3z2-r21.378
x2-y212.444
xy0.954
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.639 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> 178.090
(<r2>)1/2 13.345