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

using model chemistry: PBE1PBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-306.163436
Energy at 298.15K-306.170138
HF Energy-306.163436
Nuclear repulsion energy220.853022
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/6-31G(2df,p)
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' 3823 3659 76.94      
2 A' 3216 3077 3.71      
3 A' 3193 3055 3.73      
4 A' 3153 3017 8.76      
5 A' 3047 2916 11.54      
6 A' 1853 1773 377.39      
7 A' 1739 1664 32.34      
8 A' 1477 1414 16.49      
9 A' 1412 1351 108.92      
10 A' 1399 1339 0.14      
11 A' 1329 1271 3.06      
12 A' 1289 1233 6.35      
13 A' 1214 1162 199.18      
14 A' 1129 1080 22.20      
15 A' 983 941 13.39      
16 A' 891 853 20.24      
17 A' 630 603 55.15      
18 A' 502 480 3.41      
19 A' 385 368 2.97      
20 A' 190 182 1.13      
21 A" 3111 2977 8.16      
22 A" 1470 1407 7.78      
23 A" 1074 1028 2.16      
24 A" 1023 979 27.34      
25 A" 883 845 11.88      
26 A" 713 682 39.06      
27 A" 591 565 70.98      
28 A" 216 206 0.19      
29 A" 194 186 0.52      
30 A" 103 99 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 21114.2 cm-1
Scaled (by 0.957) Zero Point Vibrational Energy (zpe) 20206.3 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 PBE1PBE/6-31G(2df,p)
ABC
0.33282 0.06494 0.05488

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.098 -0.372 0.000
C2 0.000 0.606 0.000
C3 1.294 0.283 0.000
C4 2.416 1.260 0.000
O5 -0.681 -1.655 0.000
O6 -2.267 -0.077 0.000
H7 -0.333 1.639 0.000
H8 1.560 -0.772 0.000
H9 2.060 2.293 0.000
H10 3.057 1.111 0.877
H11 3.057 1.111 -0.877
H12 -1.489 -2.183 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47012.47973.87431.34881.20592.15182.68824.13154.49784.49781.8525
C21.47011.33342.50302.36062.36791.08592.08182.66223.22013.22013.1610
C32.47971.33341.48782.76633.57922.11811.08852.15062.13632.13633.7176
C43.87432.50301.48784.25244.87042.77522.20501.09271.09661.09665.2054
O51.34882.36062.76634.25242.23733.31222.40834.80514.73154.73150.9652
O61.20592.36793.57924.87042.23732.58603.89024.93335.52515.52512.2449
H72.15181.08592.11812.77523.31222.58603.06622.48023.54123.54123.9929
H82.68822.08181.08852.20502.40833.89023.06623.10542.56062.56063.3592
H94.13152.66222.15061.09274.80514.93332.48023.10541.77781.77785.7112
H104.49783.22012.13631.09664.73155.52513.54122.56061.77781.75495.6814
H114.49783.22012.13631.09664.73155.52513.54122.56061.77781.75495.6814
H121.85253.16103.71765.20540.96522.24493.99293.35925.71125.68145.6814

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 124.302 C1 C2 H7 113.823
C1 O5 H12 105.153 C2 C1 O5 113.666
C2 C1 O6 124.167 C2 C3 C4 124.954
C2 C3 H8 118.183 C3 C2 H7 121.875
C3 C4 H9 111.993 C3 C4 H10 110.593
C3 C4 H11 110.593 C4 C3 H8 116.862
O5 C1 O6 122.166 H9 C4 H10 108.587
H9 C4 H11 108.587 H10 C4 H11 106.293
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.454      
2 C -0.213      
3 C -0.049      
4 C -0.500      
5 O -0.413      
6 O -0.381      
7 H 0.144      
8 H 0.154      
9 H 0.157      
10 H 0.166      
11 H 0.166      
12 H 0.315      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.602 -0.390 0.000 2.631
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.808 4.420 0.000
y 4.420 -30.195 0.000
z 0.000 0.000 -35.401
Traceless
 xyz
x -4.011 4.420 0.000
y 4.420 5.910 0.000
z 0.000 0.000 -1.900
Polar
3z2-r2-3.799
x2-y2-6.614
xy4.420
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.043 0.967 0.000
y 0.967 7.299 0.000
z 0.000 0.000 4.423


<r2> (average value of r2) Å2
<r2> 198.434
(<r2>)1/2 14.087