return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: M06-2X/TZVP

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/TZVP
 hartrees
Energy at 0K-306.465472
Energy at 298.15K-306.472099
HF Energy-306.465472
Nuclear repulsion energy220.950430
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/TZVP
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' 3843 3636 105.97      
2 A' 3214 3041 2.41      
3 A' 3201 3028 0.95      
4 A' 3146 2977 8.77      
5 A' 3045 2881 7.52      
6 A' 1858 1759 511.01      
7 A' 1752 1657 23.97      
8 A' 1490 1410 17.57      
9 A' 1414 1338 21.37      
10 A' 1399 1324 105.03      
11 A' 1344 1272 4.03      
12 A' 1303 1233 5.87      
13 A' 1221 1155 222.05      
14 A' 1132 1071 28.33      
15 A' 985 932 13.20      
16 A' 895 847 24.05      
17 A' 646 611 55.62      
18 A' 509 482 3.21      
19 A' 392 370 3.01      
20 A' 199 188 1.06      
21 A" 3103 2936 5.89      
22 A" 1480 1400 10.99      
23 A" 1086 1027 5.82      
24 A" 1015 960 39.77      
25 A" 876 829 16.20      
26 A" 705 667 33.91      
27 A" 557 527 100.13      
28 A" 200 189 0.64      
29 A" 179 170 0.39      
30 A" 71 68 0.18      

Unscaled Zero Point Vibrational Energy (zpe) 21128.8 cm-1
Scaled (by 0.9462) Zero Point Vibrational Energy (zpe) 19992.1 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/TZVP
ABC
0.33226 0.06510 0.05499

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.096 -0.374 0.000
C2 0.000 0.614 0.000
C3 1.288 0.285 0.000
C4 2.410 1.268 0.000
O5 -0.674 -1.657 0.000
O6 -2.264 -0.087 0.000
H7 -0.334 1.645 0.000
H8 1.552 -0.769 0.000
H9 2.046 2.294 0.000
H10 3.044 1.120 0.877
H11 3.044 1.120 -0.877
H12 -1.467 -2.211 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47502.47273.87081.35091.20282.15722.67664.12134.48764.48761.8743
C21.47501.32922.49712.36872.36991.08332.07842.64733.20833.20833.1828
C32.47271.32921.49172.76003.57112.11611.08622.14752.13352.13353.7170
C43.87082.49711.49174.24994.86622.76932.21001.08921.09251.09255.2085
O51.35092.36872.76004.24992.23443.31902.39604.79654.72264.72260.9674
O61.20282.36993.57114.86622.23442.59333.87584.92385.51385.51382.2682
H72.15721.08332.11612.76933.31902.59333.06242.46653.52913.52914.0184
H82.67662.07841.08622.21002.39603.87583.06243.10262.56222.56223.3451
H94.12132.64732.14751.08924.79654.92382.46653.10261.77341.77345.7125
H104.48763.20832.13351.09254.72265.51383.52912.56221.77341.75435.6756
H114.48763.20832.13351.09254.72265.51383.52912.56221.77341.75435.6756
H121.87433.18283.71705.20850.96742.26824.01843.34515.71255.67565.6756

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 123.635 C1 C2 H7 114.096
C1 O5 H12 106.727 C2 C1 O5 113.830
C2 C1 O6 124.198 C2 C3 C4 124.452
C2 C3 H8 118.392 C3 C2 H7 122.269
C3 C4 H9 111.679 C3 C4 H10 110.346
C3 C4 H11 110.346 C4 C3 H8 117.156
O5 C1 O6 121.972 H9 C4 H10 108.755
H9 C4 H11 108.755 H10 C4 H11 106.815
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.309      
2 C -0.269      
3 C -0.018      
4 C -0.456      
5 O -0.353      
6 O -0.362      
7 H 0.185      
8 H 0.189      
9 H 0.152      
10 H 0.155      
11 H 0.155      
12 H 0.313      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.771 -0.360 0.000 2.794
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.457 4.784 0.000
y 4.784 -31.057 0.000
z 0.000 0.000 -36.750
Traceless
 xyz
x -4.554 4.784 0.000
y 4.784 6.547 0.000
z 0.000 0.000 -1.993
Polar
3z2-r2-3.985
x2-y2-7.400
xy4.784
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.484 0.653 0.000
y 0.653 7.386 0.000
z 0.000 0.000 5.125


<r2> (average value of r2) Å2
<r2> 198.889
(<r2>)1/2 14.103