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

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVDZ
 hartrees
Energy at 0K-379.209107
Energy at 298.15K-379.215257
HF Energy-379.209107
Nuclear repulsion energy238.126551
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 HSEh1PBE/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 2975 0.00      
2 Ag 2889 2779 0.00      
3 Ag 1733 1667 0.00      
4 Ag 1520 1462 0.00      
5 Ag 1406 1353 0.00      
6 Ag 1310 1260 0.00      
7 Ag 700 673 0.00      
8 Ag 237 228 0.00      
9 Ag 183 177 0.00      
10 Au 1134 1091 128.04      
11 Au 1034 994 91.65      
12 Au 200 193 9.17      
13 Au 81 78 1.86      
14 Bg 1092 1050 0.00      
15 Bg 1035 995 0.00      
16 Bg 295 284 0.00      
17 Bu 3109 2991 330.19      
18 Bu 3029 2913 3096.57      
19 Bu 1834 1764 808.40      
20 Bu 1477 1421 7.95      
21 Bu 1411 1357 62.24      
22 Bu 1309 1259 267.26      
23 Bu 743 714 38.40      
24 Bu 327 314 87.26      

Unscaled Zero Point Vibrational Energy (zpe) 15589.1 cm-1
Scaled (by 0.9619) Zero Point Vibrational Energy (zpe) 14995.2 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 HSEh1PBE/cc-pVDZ
ABC
0.20260 0.08011 0.05741

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVDZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.572 -1.118 0.000
C2 -1.572 1.118 0.000
O3 1.572 0.094 0.000
O4 -1.572 -0.094 0.000
O5 0.515 -1.895 0.000
O6 -0.515 1.895 0.000
H7 2.505 -1.717 0.000
H8 -2.505 1.717 0.000
H9 0.298 1.334 0.000
H10 -0.298 -1.334 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.85861.21193.30721.31213.66501.10864.96622.76321.8822
C23.85863.30721.21193.66501.31214.96621.10861.88222.7632
O31.21193.30723.15022.25232.75662.03684.38881.77822.3524
O43.30721.21193.15022.75662.25234.38882.03682.35241.7782
O51.31213.66502.25232.75663.92671.99874.70773.23550.9872
O63.66501.31212.75662.25233.92674.70771.99870.98723.2355
H71.10864.96622.03684.38881.99874.70776.07423.76542.8290
H84.96621.10864.38882.03684.70771.99876.07422.82903.7654
H92.76321.88221.77822.35243.23550.98723.76542.82902.7327
H101.88222.76322.35241.77820.98723.23552.82903.76542.7327

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 134.200 C1 O5 H10 109.071
C2 O4 H10 134.200 C2 O6 H9 109.071
O3 C1 O5 126.292 O3 C1 H7 122.678
O3 H9 O6 170.437 O4 C2 O6 126.292
O4 C2 H8 122.678 O4 H10 O5 170.437
O5 C1 H7 111.030 O6 C2 H8 111.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.244      
2 C 0.244      
3 O -0.320      
4 O -0.320      
5 O -0.176      
6 O -0.176      
7 H 0.056      
8 H 0.056      
9 H 0.197      
10 H 0.197      


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 -30.500 -6.286 0.000
y -6.286 -36.493 0.000
z 0.000 0.000 -32.977
Traceless
 xyz
x 4.236 -6.286 0.000
y -6.286 -4.754 0.000
z 0.000 0.000 0.519
Polar
3z2-r21.038
x2-y25.993
xy-6.286
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.280 -0.791 0.000
y -0.791 6.352 0.000
z 0.000 0.000 2.639


<r2> (average value of r2) Å2
<r2> 177.821
(<r2>)1/2 13.335