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

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-306.403363
Energy at 298.15K-306.410041
HF Energy-306.403363
Nuclear repulsion energy220.399090
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 mPW1PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3767 3573 74.67      
2 A' 3237 3070 4.68      
3 A' 3214 3048 4.63      
4 A' 3168 3004 11.47      
5 A' 3067 2908 14.00      
6 A' 1862 1766 397.78      
7 A' 1750 1659 27.77      
8 A' 1515 1437 16.74      
9 A' 1440 1365 13.52      
10 A' 1422 1348 101.86      
11 A' 1349 1279 3.03      
12 A' 1314 1246 6.02      
13 A' 1231 1167 218.18      
14 A' 1141 1082 24.94      
15 A' 993 942 13.20      
16 A' 901 854 20.15      
17 A' 632 599 57.39      
18 A' 504 478 3.90      
19 A' 386 366 3.30      
20 A' 192 182 1.05      
21 A" 3126 2965 11.72      
22 A" 1508 1430 9.62      
23 A" 1087 1031 1.08      
24 A" 1024 971 34.83      
25 A" 871 826 15.13      
26 A" 710 673 56.78      
27 A" 596 565 76.57      
28 A" 210 199 0.17      
29 A" 193 183 0.58      
30 A" 102 97 0.24      

Unscaled Zero Point Vibrational Energy (zpe) 21255.8 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 20156.9 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 mPW1PW91/6-31G*
ABC
0.33114 0.06472 0.05468

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.097 -0.373 0.000
C2 0.000 0.607 0.000
C3 1.297 0.283 0.000
C4 2.418 1.264 0.000
O5 -0.681 -1.659 0.000
O6 -2.272 -0.078 0.000
H7 -0.331 1.640 0.000
H8 1.566 -0.771 0.000
H9 2.059 2.296 0.000
H10 3.058 1.119 0.878
H11 3.058 1.119 -0.878
H12 -1.493 -2.192 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47072.48223.87791.35231.21132.15392.69344.13344.50184.50181.8618
C21.47071.33682.50612.36612.37301.08542.08622.66353.22303.22303.1717
C32.48221.33681.49022.77193.58722.11961.08772.15282.13862.13863.7288
C43.87792.50611.49024.26054.87862.77482.20631.09251.09631.09635.2190
O51.35232.36612.77194.26052.24353.31822.41664.81174.74064.74060.9707
O61.21132.37303.58724.87862.24352.59243.90084.93925.53345.53342.2535
H72.15391.08542.11962.77483.31822.59243.06842.47843.53983.53984.0046
H82.69342.08621.08772.20632.41663.90083.06843.10642.56322.56323.3728
H94.13342.66352.15281.09254.81174.93922.47843.10641.77601.77605.7233
H104.50183.22302.13861.09634.74065.53343.53982.56321.77601.75615.6960
H114.50183.22302.13861.09634.74065.53343.53982.56321.77601.75615.6960
H121.86183.17173.72885.21900.97072.25354.00463.37285.72335.69605.6960

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 124.226 C1 C2 H7 114.001
C1 O5 H12 105.360 C2 C1 O5 113.819
C2 C1 O6 124.163 C2 C3 C4 124.781
C2 C3 H8 118.378 C3 C2 H7 121.774
C3 C4 H9 112.008 C3 C4 H10 110.627
C3 C4 H11 110.627 C4 C3 H8 116.841
O5 C1 O6 122.018 H9 C4 H10 108.471
H9 C4 H11 108.471 H10 C4 H11 106.441
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.593      
2 C -0.227      
3 C -0.097      
4 C -0.576      
5 O -0.605      
6 O -0.492      
7 H 0.189      
8 H 0.202      
9 H 0.193      
10 H 0.198      
11 H 0.198      
12 H 0.426      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.628 -0.408 0.000 2.660
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.897 4.677 0.000
y 4.677 -30.123 0.000
z 0.000 0.000 -35.631
Traceless
 xyz
x -4.020 4.677 0.000
y 4.677 6.141 0.000
z 0.000 0.000 -2.121
Polar
3z2-r2-4.241
x2-y2-6.774
xy4.677
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.779 0.821 0.000
y 0.821 6.902 0.000
z 0.000 0.000 3.820


<r2> (average value of r2) Å2
<r2> 199.118
(<r2>)1/2 14.111