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

using model chemistry: B3LYP/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 B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-306.510474
Energy at 298.15K-306.517162
HF Energy-306.510474
Nuclear repulsion energy220.081530
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 B3LYP/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' 3765 3633 65.91      
2 A' 3190 3079 6.00      
3 A' 3171 3060 3.71      
4 A' 3118 3009 12.17      
5 A' 3024 2918 14.50      
6 A' 1817 1753 360.99      
7 A' 1714 1654 28.31      
8 A' 1483 1431 14.15      
9 A' 1408 1359 7.20      
10 A' 1386 1338 74.84      
11 A' 1333 1287 3.57      
12 A' 1298 1253 5.76      
13 A' 1201 1159 205.82      
14 A' 1115 1076 34.58      
15 A' 974 939 16.87      
16 A' 880 849 18.61      
17 A' 627 605 51.53      
18 A' 499 482 3.02      
19 A' 383 370 3.06      
20 A' 191 185 1.07      
21 A" 3073 2965 12.33      
22 A" 1477 1425 6.28      
23 A" 1078 1041 1.82      
24 A" 1023 988 23.84      
25 A" 878 847 10.28      
26 A" 707 682 37.97      
27 A" 584 564 71.49      
28 A" 216 209 0.12      
29 A" 194 187 0.40      
30 A" 106 102 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 20956.5 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20223.0 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 B3LYP/6-31G(2df,p)
ABC
0.32994 0.06444 0.05445

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.101 -0.376 0.000
C2 0.000 0.603 0.000
C3 1.298 0.289 0.000
C4 2.420 1.276 0.000
O5 -0.680 -1.667 0.000
O6 -2.274 -0.082 0.000
H7 -0.337 1.635 0.000
H8 1.574 -0.763 0.000
H9 2.058 2.308 0.000
H10 3.062 1.132 0.878
H11 3.062 1.132 -0.878
H12 -1.487 -2.203 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47342.48903.88891.35831.20892.15092.70314.14494.51344.51341.8672
C21.47341.33542.51152.37062.37461.08542.08462.67223.22863.22863.1758
C32.48901.33541.49452.78223.59052.11801.08752.15722.14302.14303.7367
C43.88892.51151.49454.27504.88582.78042.20731.09291.09701.09705.2311
O51.35832.37062.78224.27502.24753.32032.42954.82724.75504.75500.9680
O61.20892.37463.59054.88582.24752.58793.90774.94725.54165.54162.2617
H72.15091.08542.11802.78043.32032.58793.06672.48833.54653.54654.0062
H82.70312.08461.08752.20732.42953.90773.06673.10832.56372.56373.3831
H94.14492.67222.15721.09294.82724.94722.48833.10831.77751.77755.7369
H104.51343.22862.14301.09704.75505.54163.54652.56371.77751.75565.7080
H114.51343.22862.14301.09704.75505.54163.54652.56371.77751.75565.7080
H121.86723.17583.73675.23110.96802.26174.00623.38315.73695.70805.7080

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 124.719 C1 C2 H7 113.543
C1 O5 H12 105.538 C2 C1 O5 113.626
C2 C1 O6 124.286 C2 C3 C4 125.025
C2 C3 H8 118.361 C3 C2 H7 121.738
C3 C4 H9 112.036 C3 C4 H10 110.637
C3 C4 H11 110.637 C4 C3 H8 116.613
O5 C1 O6 122.089 H9 C4 H10 108.520
H9 C4 H11 108.520 H10 C4 H11 106.289
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.411      
2 C -0.164      
3 C -0.008      
4 C -0.436      
5 O -0.385      
6 O -0.360      
7 H 0.111      
8 H 0.122      
9 H 0.130      
10 H 0.140      
11 H 0.140      
12 H 0.298      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.583 -0.351 0.000 2.607
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.175 4.363 0.000
y 4.363 -30.555 0.000
z 0.000 0.000 -35.394
Traceless
 xyz
x -4.201 4.363 0.000
y 4.363 5.730 0.000
z 0.000 0.000 -1.529
Polar
3z2-r2-3.058
x2-y2-6.620
xy4.363
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.128 1.027 0.000
y 1.027 7.391 0.000
z 0.000 0.000 4.398


<r2> (average value of r2) Å2
<r2> 199.956
(<r2>)1/2 14.141