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

using model chemistry: wB97X-D/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 wB97X-D/3-21G*
 hartrees
Energy at 0K-304.697378
Energy at 298.15K-304.704085
HF Energy-304.697378
Nuclear repulsion energy219.635338
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 wB97X-D/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' 3630 3440 44.14      
2 A' 3251 3081 2.47      
3 A' 3227 3059 0.63      
4 A' 3165 2999 9.95      
5 A' 3079 2918 8.92      
6 A' 1823 1727 290.97      
7 A' 1749 1657 15.28      
8 A' 1551 1470 19.52      
9 A' 1471 1394 17.88      
10 A' 1420 1346 66.82      
11 A' 1373 1301 4.37      
12 A' 1347 1276 0.03      
13 A' 1191 1129 160.19      
14 A' 1120 1062 103.59      
15 A' 994 942 19.70      
16 A' 889 843 22.42      
17 A' 629 596 56.89      
18 A' 503 477 4.13      
19 A' 403 382 3.53      
20 A' 206 195 0.65      
21 A" 3138 2974 9.10      
22 A" 1548 1467 14.07      
23 A" 1126 1067 1.11      
24 A" 1043 989 62.80      
25 A" 909 862 7.42      
26 A" 714 677 56.78      
27 A" 578 547 128.13      
28 A" 202 192 1.14      
29 A" 185 176 0.47      
30 A" 97 92 0.84      

Unscaled Zero Point Vibrational Energy (zpe) 21278.4 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 20167.7 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 wB97X-D/3-21G*
ABC
0.32538 0.06502 0.05474

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.101 -0.345 0.000
C2 0.000 0.628 0.000
C3 1.280 0.269 0.000
C4 2.430 1.231 0.000
O5 -0.660 -1.648 0.000
O6 -2.294 -0.067 0.000
H7 -0.311 1.666 0.000
H8 1.519 -0.791 0.000
H9 2.087 2.269 0.000
H10 3.061 1.071 0.882
H11 3.061 1.071 -0.882
H12 -1.431 -2.268 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46932.45873.86621.37571.22492.16002.65734.12244.48394.48391.9512
C21.46931.32952.50322.37002.39721.08292.07852.65473.21633.21633.2303
C32.45871.32951.49912.72743.58982.11701.08622.15712.14342.14343.7128
C43.86622.50321.49914.22334.89882.77452.21771.09361.09681.09685.2103
O51.37572.37002.72744.22332.27313.33202.34144.78454.69254.69250.9891
O61.22492.39723.58984.89882.27312.63383.88074.96495.54555.54552.3634
H72.16001.08292.11702.77453.33202.63383.06282.47223.53583.53584.0898
H82.65732.07851.08622.21772.34143.88073.06283.11262.57372.57373.2989
H94.12242.65472.15711.09364.78454.96492.47223.11261.77901.77905.7411
H104.48393.21632.14341.09684.69255.54553.53582.57371.77901.76455.6662
H114.48393.21632.14341.09684.69255.54553.53582.57371.77901.76455.6662
H121.95123.23033.71285.21030.98912.36344.08983.29895.74115.66625.6662

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 122.847 C1 C2 H7 114.791
C1 O5 H12 110.116 C2 C1 O5 112.787
C2 C1 O6 125.449 C2 C3 C4 124.381
C2 C3 H8 118.375 C3 C2 H7 122.363
C3 C4 H9 111.654 C3 C4 H10 110.354
C3 C4 H11 110.354 C4 C3 H8 117.244
O5 C1 O6 121.764 H9 C4 H10 108.622
H9 C4 H11 108.622 H10 C4 H11 107.101
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.656      
2 C -0.301      
3 C -0.158      
4 C -0.667      
5 O -0.597      
6 O -0.512      
7 H 0.240      
8 H 0.255      
9 H 0.228      
10 H 0.236      
11 H 0.236      
12 H 0.385      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.355 -0.550 0.000 2.419
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.063 4.992 0.000
y 4.992 -29.747 0.000
z 0.000 0.000 -36.019
Traceless
 xyz
x -4.180 4.992 0.000
y 4.992 6.794 0.000
z 0.000 0.000 -2.614
Polar
3z2-r2-5.228
x2-y2-7.316
xy4.992
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.975 0.599 0.000
y 0.599 6.325 0.000
z 0.000 0.000 3.069


<r2> (average value of r2) Å2
<r2> 198.929
(<r2>)1/2 14.104