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

using model chemistry: M06-2X/6-31G*

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*
 hartrees
Energy at 0K-306.345255
Energy at 298.15K-306.351898
HF Energy-306.345255
Nuclear repulsion energy220.430789
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*
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' 3788 3587 91.98      
2 A' 3238 3066 3.47      
3 A' 3226 3055 2.17      
4 A' 3170 3002 9.98      
5 A' 3072 2909 10.62      
6 A' 1896 1795 429.64      
7 A' 1772 1678 23.68      
8 A' 1513 1432 14.05      
9 A' 1436 1360 40.60      
10 A' 1427 1352 89.40      
11 A' 1347 1275 2.75      
12 A' 1303 1234 6.46      
13 A' 1236 1171 213.86      
14 A' 1140 1080 19.90      
15 A' 993 941 9.51      
16 A' 904 856 20.34      
17 A' 638 604 59.25      
18 A' 506 479 3.90      
19 A' 389 369 3.40      
20 A' 200 189 1.05      
21 A" 3134 2968 9.71      
22 A" 1503 1423 8.58      
23 A" 1090 1032 2.44      
24 A" 1026 972 32.36      
25 A" 875 829 14.50      
26 A" 707 669 46.79      
27 A" 558 528 94.92      
28 A" 208 197 0.33      
29 A" 186 176 0.75      
30 A" 91 87 0.37      

Unscaled Zero Point Vibrational Energy (zpe) 21285.0 cm-1
Scaled (by 0.947) Zero Point Vibrational Energy (zpe) 20156.9 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*
ABC
0.33121 0.06480 0.05475

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.099 -0.373 0.000
C2 0.000 0.614 0.000
C3 1.292 0.281 0.000
C4 2.417 1.266 0.000
O5 -0.674 -1.657 0.000
O6 -2.272 -0.086 0.000
H7 -0.331 1.649 0.000
H8 1.556 -0.775 0.000
H9 2.051 2.296 0.000
H10 3.054 1.122 0.880
H11 3.054 1.122 -0.880
H12 -1.479 -2.202 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47742.47883.87941.35201.20792.16322.68484.12834.50104.50101.8678
C21.47741.33412.50352.36912.37741.08602.08552.65183.21883.21883.1811
C32.47881.33411.49532.76083.58282.12181.08862.15232.14162.14163.7210
C43.87942.50351.49534.25434.88012.77422.21511.09261.09571.09575.2162
O51.35202.36912.76084.25432.24113.32352.39804.80064.73254.73250.9722
O61.20792.37743.58284.88012.24112.60343.88934.93525.53195.53192.2601
H72.16321.08602.12182.77423.32352.60343.07102.46753.53673.53674.0185
H82.68482.08551.08862.21512.39803.88933.07103.10982.57222.57223.3537
H94.12832.65182.15231.09264.80064.93522.46753.10981.77711.77715.7173
H104.50103.21882.14161.09574.73255.53193.53672.57221.77711.75925.6898
H114.50103.21882.14161.09574.73255.53193.53672.57221.77711.75925.6898
H121.86783.18113.72105.21620.97222.26014.01853.35375.71735.68985.6898

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 123.606 C1 C2 H7 114.229
C1 O5 H12 105.792 C2 C1 O5 113.633
C2 C1 O6 124.272 C2 C3 C4 124.364
C2 C3 H8 118.475 C3 C2 H7 122.165
C3 C4 H9 111.598 C3 C4 H10 110.547
C3 C4 H11 110.547 C4 C3 H8 117.161
O5 C1 O6 122.095 H9 C4 H10 108.602
H9 C4 H11 108.602 H10 C4 H11 106.793
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.596      
2 C -0.208      
3 C -0.105      
4 C -0.535      
5 O -0.622      
6 O -0.490      
7 H 0.181      
8 H 0.196      
9 H 0.180      
10 H 0.186      
11 H 0.186      
12 H 0.434      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.509 -0.437 0.000 2.547
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.283 4.635 0.000
y 4.635 -30.393 0.000
z 0.000 0.000 -35.891
Traceless
 xyz
x -4.141 4.635 0.000
y 4.635 6.194 0.000
z 0.000 0.000 -2.053
Polar
3z2-r2-4.106
x2-y2-6.889
xy4.635
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.527 0.683 0.000
y 0.683 6.816 0.000
z 0.000 0.000 3.824


<r2> (average value of r2) Å2
<r2> 199.104
(<r2>)1/2 14.110