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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-306.131125
Energy at 298.15K-306.137643
HF Energy-306.131125
Nuclear repulsion energy218.474181
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 PBEPBE/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' 3646 3596 46.63      
2 A' 3133 3090 5.88      
3 A' 3109 3066 5.94      
4 A' 3074 3032 9.69      
5 A' 2971 2930 12.97      
6 A' 1762 1738 312.92      
7 A' 1672 1649 28.78      
8 A' 1446 1426 16.53      
9 A' 1367 1348 10.48      
10 A' 1353 1335 78.15      
11 A' 1293 1275 2.76      
12 A' 1255 1238 5.62      
13 A' 1163 1147 193.46      
14 A' 1097 1082 34.00      
15 A' 951 938 22.83      
16 A' 860 848 19.83      
17 A' 602 594 51.34      
18 A' 484 478 3.09      
19 A' 374 369 3.25      
20 A' 185 183 0.91      
21 A" 3028 2987 10.54      
22 A" 1438 1418 8.45      
23 A" 1032 1017 0.93      
24 A" 980 967 27.76      
25 A" 827 816 9.09      
26 A" 678 668 52.91      
27 A" 579 571 61.47      
28 A" 209 206 0.20      
29 A" 186 183 0.62      
30 A" 99 98 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 20424.6 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 20144.8 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 PBEPBE/6-31G**
ABC
0.32383 0.06376 0.05381

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.104 -0.373 0.000
C2 0.000 0.607 0.000
C3 1.310 0.286 0.000
C4 2.433 1.274 0.000
O5 -0.682 -1.678 0.000
O6 -2.294 -0.073 0.000
H7 -0.333 1.650 0.000
H8 1.582 -0.777 0.000
H9 2.071 2.313 0.000
H10 3.082 1.129 0.883
H11 3.082 1.129 -0.883
H12 -1.514 -2.197 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47672.50323.90221.37131.22672.16502.71714.15964.53454.53451.8692
C21.47671.34922.52292.38442.39281.09462.10232.68363.24813.24813.1866
C32.50321.34921.49542.79743.62222.13571.09722.16532.15142.15143.7605
C43.90222.52291.49544.29134.91542.79192.22001.10081.10491.10495.2559
O51.37132.38442.79744.29132.27433.34572.43704.84854.77754.77750.9806
O61.22672.39283.62224.91542.27432.61043.93974.97525.57905.57902.2624
H72.16501.09462.13572.79193.34572.61043.09162.49443.56563.56564.0239
H82.71712.10231.09722.22002.43703.93973.09163.12852.58082.58083.4063
H94.15962.68362.16531.10084.84854.97522.49443.12851.78961.78965.7615
H104.53453.24812.15141.10494.77755.57903.56562.58081.78961.76555.7413
H114.53453.24812.15141.10494.77755.57903.56562.58081.78961.76555.7413
H121.86923.18663.76055.25590.98062.26244.02393.40635.76155.74135.7413

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 124.642 C1 C2 H7 113.872
C1 O5 H12 104.029 C2 C1 O5 113.644
C2 C1 O6 124.268 C2 C3 C4 124.900
C2 C3 H8 118.124 C3 C2 H7 121.486
C3 C4 H9 112.139 C3 C4 H10 110.759
C3 C4 H11 110.759 C4 C3 H8 116.976
O5 C1 O6 122.088 H9 C4 H10 108.453
H9 C4 H11 108.453 H10 C4 H11 106.053
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.509      
2 C -0.120      
3 C -0.050      
4 C -0.414      
5 O -0.470      
6 O -0.450      
7 H 0.115      
8 H 0.132      
9 H 0.138      
10 H 0.148      
11 H 0.148      
12 H 0.314      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.559 -0.347 0.000 2.582
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.626 4.620 0.000
y 4.620 -30.416 0.000
z 0.000 0.000 -35.694
Traceless
 xyz
x -3.571 4.620 0.000
y 4.620 5.744 0.000
z 0.000 0.000 -2.173
Polar
3z2-r2-4.347
x2-y2-6.210
xy4.620
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.436 1.116 0.000
y 1.116 7.478 0.000
z 0.000 0.000 3.951


<r2> (average value of r2) Å2
<r2> 201.991
(<r2>)1/2 14.212