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: B3LYP/6-311G*

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/6-311G*
 hartrees
Energy at 0K-306.562826
Energy at 298.15K-306.569524
HF Energy-306.562826
Nuclear repulsion energy220.018736
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/6-311G*
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' 3743 3617 47.46      
2 A' 3182 3074 9.53      
3 A' 3164 3058 3.94      
4 A' 3108 3003 18.22      
5 A' 3023 2921 18.09      
6 A' 1808 1747 415.52      
7 A' 1713 1655 24.41      
8 A' 1502 1452 18.17      
9 A' 1426 1378 7.65      
10 A' 1385 1338 56.60      
11 A' 1343 1298 4.85      
12 A' 1312 1268 5.24      
13 A' 1213 1172 252.49      
14 A' 1120 1082 40.66      
15 A' 975 942 18.35      
16 A' 880 851 21.90      
17 A' 633 612 56.17      
18 A' 502 485 3.20      
19 A' 386 373 3.32      
20 A' 194 187 0.99      
21 A" 3064 2961 18.52      
22 A" 1495 1444 10.32      
23 A" 1081 1045 1.52      
24 A" 1015 981 39.82      
25 A" 872 843 14.77      
26 A" 709 685 52.60      
27 A" 597 577 85.22      
28 A" 210 203 0.15      
29 A" 192 185 0.77      
30 A" 108 104 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 20976.8 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 20269.9 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 B3LYP/6-311G*
ABC
0.32953 0.06443 0.05443

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.100 -0.375 0.000
C2 0.000 0.606 0.000
C3 1.298 0.289 0.000
C4 2.420 1.275 0.000
O5 -0.682 -1.669 0.000
O6 -2.273 -0.082 0.000
H7 -0.335 1.638 0.000
H8 1.571 -0.763 0.000
H9 2.064 2.307 0.000
H10 3.062 1.133 0.877
H11 3.062 1.133 -0.877
H12 -1.483 -2.214 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47382.48803.88791.35961.20882.15362.69974.14774.51264.51261.8787
C21.47381.33572.51102.37452.37491.08552.08412.67463.22813.22813.1860
C32.48801.33571.49442.78423.58992.11811.08732.15892.14312.14313.7409
C43.88792.51101.49444.27694.88552.77892.20841.09181.09571.09575.2352
O51.35962.37452.78424.27692.24683.32502.42874.83204.75754.75750.9685
O61.20882.37493.58994.88552.24682.59133.90434.95135.54125.54122.2741
H72.15361.08552.11812.77893.32502.59133.06632.49033.54453.54454.0197
H82.69972.08411.08732.20842.42873.90433.06633.10992.56612.56613.3809
H94.14772.67462.15891.09184.83204.95132.49033.10991.77331.77335.7462
H104.51263.22812.14311.09574.75755.54123.54452.56611.77331.75305.7115
H114.51263.22812.14311.09574.75755.54123.54452.56611.77331.75305.7115
H121.87873.18603.74095.23520.96852.27414.01973.38095.74625.71155.7115

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 124.569 C1 C2 H7 113.724
C1 O5 H12 106.389 C2 C1 O5 113.805
C2 C1 O6 124.274 C2 C3 C4 124.965
C2 C3 H8 118.305 C3 C2 H7 121.706
C3 C4 H9 112.255 C3 C4 H10 110.730
C3 C4 H11 110.730 C4 C3 H8 116.729
O5 C1 O6 121.921 H9 C4 H10 108.325
H9 C4 H11 108.325 H10 C4 H11 106.250
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.432      
2 C -0.316      
3 C -0.103      
4 C -0.649      
5 O -0.524      
6 O -0.344      
7 H 0.213      
8 H 0.221      
9 H 0.222      
10 H 0.227      
11 H 0.227      
12 H 0.392      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.543 -0.384 0.000 2.572
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.836 4.727 0.000
y 4.727 -30.967 0.000
z 0.000 0.000 -36.429
Traceless
 xyz
x -4.138 4.727 0.000
y 4.727 6.165 0.000
z 0.000 0.000 -2.027
Polar
3z2-r2-4.055
x2-y2-6.869
xy4.727
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.276 0.929 0.000
y 0.929 7.395 0.000
z 0.000 0.000 4.308


<r2> (average value of r2) Å2
<r2> 200.490
(<r2>)1/2 14.159