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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-379.217999
Energy at 298.15K-379.224003
HF Energy-379.217999
Counterpoise corrected energy 
CP Energy at 298.15K 
Counterpoise optimized geometry corrected energy 
CP opt. Energy at 298.15K 
Nuclear repulsion energy235.675827
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 PBEPBEultrafine/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 3005 2987 0.00      
2 Ag 2639 2623 0.00      
3 Ag 1606 1596 0.00      
4 Ag 1456 1447 0.00      
5 Ag 1336 1328 0.00      
6 Ag 1234 1227 0.00      
7 Ag 664 660 0.00      
8 Ag 226 224 0.00      
9 Ag 182 181 0.00      
10 Au 1108 1101 125.83      
11 Au 986 980 31.58      
12 Au 193 192 9.38      
13 Au 77 77 1.62      
14 Bg 1057 1051 0.00      
15 Bg 998 992 0.00      
16 Bg 271 269 0.00      
17 Bu 3008 2990 4.19      
18 Bu 2797 2780 3456.38      
19 Bu 1703 1693 732.24      
20 Bu 1426 1418 0.11      
21 Bu 1341 1333 36.81      
22 Bu 1237 1229 251.72      
23 Bu 712 708 26.85      
24 Bu 316 314 90.46      

Unscaled Zero Point Vibrational Energy (zpe) 14788.3 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 14698.1 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.19670 0.07916 0.05645

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.877 -0.065 0.000
C2 -1.877 0.065 0.000
O3 1.304 1.035 0.000
O4 -1.304 -1.035 0.000
O5 1.304 -1.251 0.000
O6 -1.304 1.251 0.000
H7 2.985 -0.135 0.000
H8 -2.985 0.135 0.000
H9 -0.278 1.149 0.000
H10 0.278 -1.149 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 O6 H7 H8 H9 H10
C13.75691.23983.32611.31783.44291.11044.86692.47381.9324
C23.75693.32611.23983.44291.31784.86691.11041.93242.4738
O31.23983.32613.32942.28592.61722.04814.38301.58642.4129
O43.32611.23983.32942.61722.28594.38302.04812.41291.5864
O51.31783.44292.28592.61723.61462.01834.50802.87501.0311
O63.44291.31782.61722.28593.61464.50802.01831.03112.8750
H71.11044.86692.04814.38302.01834.50805.97713.50712.8912
H84.86691.11044.38302.04814.50802.01835.97712.89123.5071
H92.47381.93241.58642.41292.87501.03113.50712.89122.3648
H101.93242.47382.41291.58641.03112.87502.89123.50712.3648

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 121.680 C1 O5 H10 110.107
C2 O4 H10 121.680 C2 O6 H9 110.107
O3 C1 O5 126.676 O3 C1 H7 121.158
O3 H9 O6 178.464 O4 C2 O6 126.676
O4 C2 H8 121.158 O4 H10 O5 178.464
O5 C1 H7 112.165 O6 C2 H8 112.165
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.791      
2 C 0.791      
3 O -0.433      
4 O -0.433      
5 O -0.247      
6 O -0.247      
7 H -0.349      
8 H -0.349      
9 H 0.238      
10 H 0.238      


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 -27.434 -1.013 0.000
y -1.013 -42.001 0.000
z 0.000 0.000 -34.445
Traceless
 xyz
x 10.789 -1.013 0.000
y -1.013 -11.061 0.000
z 0.000 0.000 0.272
Polar
3z2-r20.544
x2-y214.567
xy-1.013
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.907 -0.388 0.000
y -0.388 7.806 0.000
z 0.000 0.000 4.579


<r2> (average value of r2) Å2
<r2> 181.232
(<r2>)1/2 13.462