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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1AG
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-377.350086
Energy at 298.15K-377.356589
HF Energy-377.350086
Nuclear repulsion energy238.831838
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 mPW1PW91/3-21G*
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 3156 2997 0.00      
2 Ag 2112 2006 0.00      
3 Ag 1647 1564 0.00      
4 Ag 1476 1402 0.00      
5 Ag 1370 1301 0.00      
6 Ag 1304 1238 0.00      
7 Ag 698 663 0.00      
8 Ag 311 295 0.00      
9 Ag 189 180 0.00      
10 Au 1277 1213 358.54      
11 Au 1076 1021 37.07      
12 Au 224 213 15.86      
13 Au 99 94 0.48      
14 Bg 1225 1164 0.00      
15 Bg 1089 1034 0.00      
16 Bg 319 303 0.00      
17 Bu 3154 2995 55.03      
18 Bu 2397 2277 4317.08      
19 Bu 1722 1635 579.82      
20 Bu 1528 1451 199.89      
21 Bu 1445 1372 92.66      
22 Bu 1306 1240 191.54      
23 Bu 757 719 15.22      
24 Bu 457 434 103.65      

Unscaled Zero Point Vibrational Energy (zpe) 15169.1 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 14404.6 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 mPW1PW91/3-21G*
ABC
0.19526 0.08553 0.05948

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.820 0.063 0.000
C2 1.820 -0.063 0.000
O3 -1.247 -1.053 0.000
O4 1.247 1.053 0.000
O5 -1.247 1.237 0.000
O6 1.247 -1.237 0.000
H7 -2.907 0.115 0.000
H8 2.907 -0.115 0.000
H9 0.165 -1.206 0.000
H10 -0.165 1.206 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.64131.25403.22191.30683.33031.08904.73022.35542.0116
C23.64133.22191.25403.33031.30684.73021.08902.01162.3554
O31.25403.22193.26302.28992.49992.03004.25841.41962.5047
O43.22191.25403.26302.49992.28994.25842.03002.50471.4196
O51.30683.33032.28992.49993.51272.00454.36842.82201.0823
O63.33031.30682.49992.28993.51274.36842.00451.08232.8220
H71.08904.73022.03004.25842.00454.36845.81913.34402.9519
H84.73021.08904.25842.03004.36842.00455.81912.95193.3440
H92.35542.01161.41962.50472.82201.08233.34402.95192.4352
H102.01162.35542.50471.41961.08232.82202.95193.34402.4352

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 123.411 C1 O5 H10 114.369
C2 O4 H10 123.411 C2 O6 H9 114.369
O3 C1 O5 126.803 O3 C1 H7 119.927
O3 H9 O6 175.416 O4 C2 O6 126.803
O4 C2 H8 119.927 O4 H10 O5 175.416
O5 C1 H7 113.270 O6 C2 H8 113.270
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.461      
2 C 0.461      
3 O -0.541      
4 O -0.541      
5 O -0.582      
6 O -0.582      
7 H 0.248      
8 H 0.248      
9 H 0.414      
10 H 0.414      


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 -27.013 -0.090 0.000
y -0.090 -42.205 0.000
z 0.000 0.000 -33.019
Traceless
 xyz
x 10.599 -0.090 0.000
y -0.090 -12.189 0.000
z 0.000 0.000 1.590
Polar
3z2-r23.179
x2-y215.192
xy-0.090
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.262 -0.338 0.000
y -0.338 5.149 0.000
z 0.000 0.000 1.701


<r2> (average value of r2) Å2
<r2> 172.904
(<r2>)1/2 13.149