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

using model chemistry: M06-2X/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 M06-2X/6-31G(2df,p)
 hartrees
Energy at 0K-306.376791
Energy at 298.15K-306.383473
HF Energy-306.376791
Nuclear repulsion energy220.951658
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 M06-2X/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' 3851 3668 95.79      
2 A' 3218 3065 3.80      
3 A' 3210 3057 1.60      
4 A' 3155 3005 8.89      
5 A' 3051 2906 9.76      
6 A' 1884 1794 410.23      
7 A' 1762 1678 26.79      
8 A' 1483 1413 13.93      
9 A' 1418 1350 119.63      
10 A' 1403 1336 0.57      
11 A' 1331 1268 2.75      
12 A' 1287 1226 6.27      
13 A' 1222 1164 197.90      
14 A' 1129 1075 19.16      
15 A' 986 939 10.16      
16 A' 895 853 20.17      
17 A' 639 608 55.77      
18 A' 505 481 3.54      
19 A' 388 370 2.95      
20 A' 197 188 1.17      
21 A" 3116 2968 7.76      
22 A" 1475 1404 7.03      
23 A" 1083 1032 3.51      
24 A" 1029 980 26.81      
25 A" 890 847 11.43      
26 A" 713 679 32.30      
27 A" 554 528 85.18      
28 A" 211 201 0.28      
29 A" 189 180 0.63      
30 A" 96 91 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 21184.7 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 20176.3 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 M06-2X/6-31G(2df,p)
ABC
0.33289 0.06503 0.05495

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.099 -0.373 0.000
C2 0.000 0.612 0.000
C3 1.288 0.283 0.000
C4 2.415 1.263 0.000
O5 -0.675 -1.654 0.000
O6 -2.266 -0.084 0.000
H7 -0.333 1.644 0.000
H8 1.551 -0.772 0.000
H9 2.052 2.292 0.000
H10 3.051 1.114 0.878
H11 3.051 1.114 -0.878
H12 -1.474 -2.195 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47592.47593.87591.34891.20192.15762.68054.12744.49554.49551.8601
C21.47591.32972.50092.36362.37011.08462.07922.65253.21463.21463.1704
C32.47591.32971.49302.75723.57292.11741.08732.14972.13792.13793.7108
C43.87592.50091.49304.24824.87032.77452.21041.09131.09451.09455.2036
O51.34892.36362.75724.24822.23503.31512.39414.79634.72384.72380.9656
O61.20192.37013.57294.87032.23502.59223.87884.92875.52065.52062.2548
H72.15761.08462.11742.77453.31512.59223.06452.47243.53653.53654.0050
H82.68052.07921.08732.21042.39413.87883.06453.10502.56522.56523.3433
H94.12742.65252.14971.09134.79634.92872.47243.10501.77621.77625.7070
H104.49553.21462.13791.09454.72385.52063.53652.56521.77621.75615.6746
H114.49553.21462.13791.09454.72385.52063.53652.56521.77621.75615.6746
H121.86013.17043.71085.20360.96562.25484.00503.34335.70705.67465.6746

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 123.801 C1 C2 H7 113.964
C1 O5 H12 105.782 C2 C1 O5 113.524
C2 C1 O6 124.209 C2 C3 C4 124.645
C2 C3 H8 118.337 C3 C2 H7 122.235
C3 C4 H9 111.638 C3 C4 H10 110.482
C3 C4 H11 110.482 C4 C3 H8 117.018
O5 C1 O6 122.268 H9 C4 H10 108.702
H9 C4 H11 108.702 H10 C4 H11 106.682
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.498      
2 C -0.204      
3 C -0.049      
4 C -0.464      
5 O -0.453      
6 O -0.398      
7 H 0.139      
8 H 0.147      
9 H 0.145      
10 H 0.155      
11 H 0.155      
12 H 0.328      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.501 -0.416 0.000 2.535
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.113 4.387 0.000
y 4.387 -30.361 0.000
z 0.000 0.000 -35.616
Traceless
 xyz
x -4.124 4.387 0.000
y 4.387 6.003 0.000
z 0.000 0.000 -1.879
Polar
3z2-r2-3.757
x2-y2-6.752
xy4.387
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.768 0.834 0.000
y 0.834 7.198 0.000
z 0.000 0.000 4.422


<r2> (average value of r2) Å2
<r2> 198.337
(<r2>)1/2 14.083