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

using model chemistry: B3LYP/3-21G*

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/3-21G*
 hartrees
Energy at 0K-304.791290
Energy at 298.15K-304.798018
HF Energy-304.791290
Nuclear repulsion energy218.900567
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/3-21G*
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' 3498 3365 22.95      
2 A' 3217 3095 4.56      
3 A' 3194 3072 0.94      
4 A' 3126 3007 12.77      
5 A' 3039 2924 10.92      
6 A' 1771 1704 259.74      
7 A' 1712 1647 15.48      
8 A' 1549 1490 17.31      
9 A' 1464 1409 9.98      
10 A' 1393 1340 47.21      
11 A' 1359 1307 8.03      
12 A' 1337 1286 0.36      
13 A' 1174 1130 125.44      
14 A' 1099 1058 128.80      
15 A' 979 942 25.01      
16 A' 868 835 25.28      
17 A' 614 590 52.18      
18 A' 495 476 3.86      
19 A' 396 381 3.38      
20 A' 204 196 0.57      
21 A" 3081 2964 12.59      
22 A" 1546 1487 10.83      
23 A" 1115 1073 0.50      
24 A" 1038 999 49.69      
25 A" 894 860 6.53      
26 A" 703 677 46.28      
27 A" 567 545 117.96      
28 A" 216 208 0.06      
29 A" 197 189 1.04      
30 A" 121 116 1.11      

Unscaled Zero Point Vibrational Energy (zpe) 20983.0 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 20185.7 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/3-21G*
ABC
0.32225 0.06468 0.05442

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.111 -0.333 0.000
C2 0.000 0.629 0.000
C3 1.285 0.262 0.000
C4 2.446 1.215 0.000
O5 -0.660 -1.648 0.000
O6 -2.307 -0.055 0.000
H7 -0.305 1.669 0.000
H8 1.515 -0.800 0.000
H9 2.113 2.257 0.000
H10 3.078 1.048 0.882
H11 3.078 1.048 -0.882
H12 -1.460 -2.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46942.46783.87891.38941.22882.15812.66664.13494.49804.49801.9395
C21.46941.33612.51532.37052.40651.08352.08262.66713.22953.22953.2201
C32.46781.33611.50262.72533.60582.12271.08632.16022.14812.14813.7143
C43.87892.51531.50264.22414.92012.78802.21951.09391.09811.09815.2154
O51.38942.37052.72534.22412.29143.33552.33454.78894.69284.69280.9959
O61.22882.40653.60584.92012.29142.64223.89434.98815.56775.56772.3447
H72.15811.08352.12272.78803.33552.64223.06692.48803.55083.55084.0770
H82.66662.08261.08632.21952.33453.89433.06693.11462.57642.57643.3056
H94.13492.66712.16021.09394.78894.98812.48803.11461.78071.78075.7441
H104.49803.22952.14811.09814.69285.56773.55082.57641.78071.76455.6739
H114.49803.22952.14811.09814.69285.56773.55082.57641.78071.76455.6739
H121.93953.22013.71435.21540.99592.34474.07703.30565.74415.67395.6739

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 123.127 C1 C2 H7 114.577
C1 O5 H12 107.659 C2 C1 O5 111.999
C2 C1 O6 125.991 C2 C3 C4 124.662
C2 C3 H8 118.210 C3 C2 H7 122.296
C3 C4 H9 111.635 C3 C4 H10 110.410
C3 C4 H11 110.410 C4 C3 H8 117.128
O5 C1 O6 122.010 H9 C4 H10 108.660
H9 C4 H11 108.660 H10 C4 H11 106.924
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.623      
2 C -0.257      
3 C -0.127      
4 C -0.609      
5 O -0.565      
6 O -0.496      
7 H 0.207      
8 H 0.224      
9 H 0.207      
10 H 0.215      
11 H 0.215      
12 H 0.362      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.317 -0.452 0.000 2.360
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.050 4.839 0.000
y 4.839 -30.302 0.000
z 0.000 0.000 -36.042
Traceless
 xyz
x -3.878 4.839 0.000
y 4.839 6.244 0.000
z 0.000 0.000 -2.366
Polar
3z2-r2-4.732
x2-y2-6.748
xy4.839
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.269 0.775 0.000
y 0.775 6.549 0.000
z 0.000 0.000 3.077


<r2> (average value of r2) Å2
<r2> 200.082
(<r2>)1/2 14.145