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

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 CS 1A'
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-304.713000
Energy at 298.15K-304.719761
HF Energy-304.713000
Nuclear repulsion energy219.685368
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 A' 3579 3399 39.09      
2 A' 3245 3082 2.74      
3 A' 3218 3056 0.73      
4 A' 3158 2999 10.29      
5 A' 3062 2908 8.50      
6 A' 1803 1712 278.87      
7 A' 1734 1647 16.67      
8 A' 1549 1471 19.98      
9 A' 1466 1392 16.10      
10 A' 1412 1341 65.74      
11 A' 1365 1296 4.40      
12 A' 1338 1271 0.25      
13 A' 1186 1126 140.52      
14 A' 1118 1062 112.01      
15 A' 992 942 26.23      
16 A' 887 842 22.93      
17 A' 621 590 55.72      
18 A' 500 475 4.67      
19 A' 399 379 3.38      
20 A' 204 193 0.63      
21 A" 3115 2958 8.98      
22 A" 1546 1468 13.46      
23 A" 1119 1063 0.86      
24 A" 1044 992 60.66      
25 A" 905 859 7.19      
26 A" 713 677 50.03      
27 A" 574 545 126.41      
28 A" 214 204 0.23      
29 A" 198 188 1.15      
30 A" 120 114 1.17      

Unscaled Zero Point Vibrational Energy (zpe) 21191.4 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 20123.3 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
0.32500 0.06517 0.05484

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.106 -0.331 0.000
C2 0.000 0.629 0.000
C3 1.281 0.257 0.000
C4 2.439 1.205 0.000
O5 -0.660 -1.637 0.000
O6 -2.300 -0.052 0.000
H7 -0.302 1.669 0.000
H8 1.507 -0.805 0.000
H9 2.107 2.247 0.000
H10 3.070 1.037 0.882
H11 3.070 1.037 -0.882
H12 -1.453 -2.232 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46492.45843.86331.37961.22602.15582.65534.11964.48184.48181.9321
C21.46491.33392.50582.36052.39871.08282.08032.65643.21983.21983.2089
C32.45841.33391.49632.71243.59412.12131.08612.15422.14132.14133.6972
C43.86332.50581.49634.20504.90252.78002.21571.09311.09721.09725.1920
O51.37962.36052.71244.20502.28013.32542.32144.76904.67364.67360.9908
O61.22602.39873.59414.90252.28012.63683.88034.97065.54945.54942.3386
H72.15581.08282.12132.78003.32542.63683.06502.47783.54233.54234.0671
H82.65532.08031.08612.21572.32143.88033.06503.11032.57172.57173.2855
H94.11962.65642.15421.09314.76904.97062.47783.11031.77961.77965.7212
H104.48183.21982.14131.09724.67365.54943.54232.57171.77961.76335.6495
H114.48183.21982.14131.09724.67365.54943.54232.57171.77961.76335.6495
H121.93213.20893.69725.19200.99082.33864.06713.28555.72125.64955.6495

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 122.829 C1 C2 H7 114.764
C1 O5 H12 108.069 C2 C1 O5 112.134
C2 C1 O6 125.866 C2 C3 C4 124.497
C2 C3 H8 118.194 C3 C2 H7 122.407
C3 C4 H9 111.655 C3 C4 H10 110.366
C3 C4 H11 110.366 C4 C3 H8 117.310
O5 C1 O6 122.000 H9 C4 H10 108.687
H9 C4 H11 108.687 H10 C4 H11 106.941
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 0.649      
2 C -0.300      
3 C -0.160      
4 C -0.684      
5 O -0.591      
6 O -0.511      
7 H 0.242      
8 H 0.257      
9 H 0.233      
10 H 0.242      
11 H 0.242      
12 H 0.381      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.396 -0.493 0.000 2.446
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.900 4.984 0.000
y 4.984 -29.915 0.000
z 0.000 0.000 -36.118
Traceless
 xyz
x -3.884 4.984 0.000
y 4.984 6.594 0.000
z 0.000 0.000 -2.710
Polar
3z2-r2-5.420
x2-y2-6.985
xy4.984
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.176 0.705 0.000
y 0.705 6.415 0.000
z 0.000 0.000 3.077


<r2> (average value of r2) Å2
<r2> 198.633
(<r2>)1/2 14.094