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All results from a given calculation for C4H6O2 (Crotonic Acid)

using model chemistry: PBE1PBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBE1PBE/6-311G*
 hartrees
Energy at 0K-306.206938
Energy at 298.15K-306.213660
HF Energy-306.206938
Nuclear repulsion energy220.882422
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 PBE1PBE/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3802 3644 56.41      
2 A' 3209 3076 6.55      
3 A' 3189 3056 4.52      
4 A' 3143 3012 14.41      
5 A' 3047 2920 15.29      
6 A' 1848 1772 435.60      
7 A' 1739 1667 28.63      
8 A' 1498 1436 19.99      
9 A' 1420 1361 20.26      
10 A' 1409 1351 76.27      
11 A' 1342 1286 4.55      
12 A' 1305 1251 6.14      
13 A' 1232 1181 245.81      
14 A' 1137 1089 24.45      
15 A' 988 947 15.25      
16 A' 895 858 21.84      
17 A' 638 611 59.53      
18 A' 506 485 3.60      
19 A' 388 371 3.21      
20 A' 193 185 1.06      
21 A" 3102 2973 13.87      
22 A" 1490 1428 11.82      
23 A" 1079 1034 1.85      
24 A" 1017 975 42.41      
25 A" 877 841 17.13      
26 A" 715 685 53.70      
27 A" 603 578 85.94      
28 A" 210 202 0.24      
29 A" 193 185 0.90      
30 A" 106 102 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 21160.0 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 20281.8 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 PBE1PBE/6-311G*
ABC
0.33268 0.06498 0.05491

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.097 -0.370 0.000
C2 0.000 0.607 0.000
C3 1.293 0.282 0.000
C4 2.416 1.257 0.000
O5 -0.683 -1.654 0.000
O6 -2.266 -0.075 0.000
H7 -0.330 1.642 0.000
H8 1.557 -0.774 0.000
H9 2.065 2.291 0.000
H10 3.057 1.110 0.876
H11 3.057 1.110 -0.876
H12 -1.482 -2.195 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46922.47803.87151.34911.20562.15292.68504.13234.49584.49581.8653
C21.46921.33372.50172.36162.36691.08602.08132.66403.21923.21923.1697
C32.47801.33371.48682.76603.57772.11781.08832.15182.13602.13603.7196
C43.87152.50171.48684.25124.86812.77272.20511.09191.09561.09565.2063
O51.34912.36162.76604.25122.23603.31422.40634.80684.73154.73150.9651
O61.20562.36693.57774.86812.23602.58793.88684.93505.52335.52332.2605
H72.15291.08602.11782.77273.31422.58793.06552.48093.53843.53844.0059
H82.68502.08131.08832.20512.40633.88683.06553.10652.56232.56233.3545
H94.13232.66402.15181.09194.80684.93502.48093.10651.77401.77405.7181
H104.49583.21922.13601.09564.73155.52333.53842.56231.77401.75295.6820
H114.49583.21922.13601.09564.73155.52333.53842.56231.77401.75295.6820
H121.86533.16973.71965.20630.96512.26054.00593.35455.71815.68205.6820

picture of Crotonic Acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 124.207 C1 C2 H7 113.983
C1 O5 H12 106.227 C2 C1 O5 113.778
C2 C1 O6 124.181 C2 C3 C4 124.899
C2 C3 H8 118.136 C3 C2 H7 121.810
C3 C4 H9 112.214 C3 C4 H10 110.694
C3 C4 H11 110.694 C4 C3 H8 116.965
O5 C1 O6 122.042 H9 C4 H10 108.384
H9 C4 H11 108.384 H10 C4 H11 106.249
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.459      
2 C -0.348      
3 C -0.117      
4 C -0.700      
5 O -0.537      
6 O -0.358      
7 H 0.228      
8 H 0.236      
9 H 0.240      
10 H 0.246      
11 H 0.246      
12 H 0.405      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.563 -0.441 0.000 2.601
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.424 4.815 0.000
y 4.815 -30.538 0.000
z 0.000 0.000 -36.314
Traceless
 xyz
x -3.998 4.815 0.000
y 4.815 6.331 0.000
z 0.000 0.000 -2.333
Polar
3z2-r2-4.666
x2-y2-6.886
xy4.815
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.161 0.855 0.000
y 0.855 7.247 0.000
z 0.000 0.000 4.295


<r2> (average value of r2) Å2
<r2> 198.756
(<r2>)1/2 14.098