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

using model chemistry: B3LYPultrafine/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at B3LYPultrafine/6-311G*
 hartrees
Energy at 0K-379.652200
Energy at 298.15K-379.658086
HF Energy-379.652200
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy234.668502
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 B3LYPultrafine/6-311G*
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 3208 3100 0.00      
2 Ag 3080 2976 0.00      
3 Ag 1734 1676 0.00      
4 Ag 1473 1424 0.00      
5 Ag 1411 1363 0.00      
6 Ag 1256 1213 0.00      
7 Ag 687 664 0.00      
8 Ag 211 204 0.00      
9 Ag 173 167 0.00      
10 Au 1092 1056 65.47      
11 Au 976 944 225.77      
12 Au 181 174 6.14      
13 Au 77 74 2.03      
14 Bg 1073 1037 0.00      
15 Bg 950 918 0.00      
16 Bg 270 261 0.00      
17 Bu 3296 3185 1729.79      
18 Bu 3074 2971 298.66      
19 Bu 1797 1736 810.23      
20 Bu 1448 1399 0.04      
21 Bu 1406 1359 50.40      
22 Bu 1257 1214 363.64      
23 Bu 711 687 49.38      
24 Bu 272 263 56.47      

Unscaled Zero Point Vibrational Energy (zpe) 15556.6 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 15032.4 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 B3LYPultrafine/6-311G*
ABC
0.20198 0.07457 0.05446

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.638 -0.997 0.000
C2 -1.638 0.997 0.000
O3 1.638 0.220 0.000
O4 -1.638 -0.220 0.000
O5 0.584 -1.780 0.000
O6 -0.584 1.780 0.000
H7 2.568 -1.579 0.000
H8 -2.568 1.579 0.000
H9 0.254 1.245 0.000
H10 -0.254 -1.245 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.83531.21683.36721.31303.55711.09684.93202.63531.9080
C23.83533.36721.21683.55711.31304.93201.09681.90802.6353
O31.21683.36723.30572.26072.71572.02474.42011.72302.3928
O43.36721.21683.30572.71572.26074.42012.02472.39281.7230
O51.31303.55712.26072.71573.74761.99364.60663.04370.9943
O63.55711.31302.71572.26073.74764.60661.99360.99433.0437
H71.09684.93202.02474.42011.99364.60666.02873.65122.8411
H84.93201.09684.42012.02474.60661.99366.02872.84113.6512
H92.63531.90801.72302.39283.04370.99433.65122.84112.5418
H101.90802.63532.39281.72300.99433.04372.84113.65122.5418

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 126.526 C1 O5 H10 110.817
C2 O4 H10 126.526 C2 O6 H9 110.817
O3 C1 O5 126.630 O3 C1 H7 122.038
O3 H9 O6 176.027 O4 C2 O6 126.630
O4 C2 H8 122.038 O4 H10 O5 176.027
O5 C1 H7 111.332 O6 C2 H8 111.332
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.208      
2 C 0.208      
3 O -0.386      
4 O -0.386      
5 O -0.448      
6 O -0.448      
7 H 0.206      
8 H 0.206      
9 H 0.420      
10 H 0.420      


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 -30.862 -6.424 0.000
y -6.424 -37.711 0.000
z 0.000 0.000 -33.604
Traceless
 xyz
x 4.795 -6.424 0.000
y -6.424 -5.478 0.000
z 0.000 0.000 0.683
Polar
3z2-r21.366
x2-y26.848
xy-6.424
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.242 -0.668 0.000
y -0.668 6.603 0.000
z 0.000 0.000 2.772


<r2> (average value of r2) Å2
<r2> 186.692
(<r2>)1/2 13.664