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: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-306.143960
Energy at 298.15K-306.150519
HF Energy-306.143960
Nuclear repulsion energy218.349792
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/cc-pVDZ
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' 3592 3571 52.06      
2 A' 3123 3105 5.43      
3 A' 3099 3081 4.91      
4 A' 3065 3048 8.40      
5 A' 2959 2942 13.48      
6 A' 1757 1747 319.23      
7 A' 1669 1659 30.14      
8 A' 1404 1396 17.63      
9 A' 1347 1340 80.72      
10 A' 1336 1328 0.72      
11 A' 1276 1268 3.22      
12 A' 1229 1222 5.41      
13 A' 1160 1154 191.09      
14 A' 1096 1089 25.37      
15 A' 945 939 24.44      
16 A' 855 850 20.76      
17 A' 602 599 50.06      
18 A' 483 481 2.95      
19 A' 375 372 2.89      
20 A' 186 185 0.88      
21 A" 3018 3001 8.00      
22 A" 1395 1387 8.27      
23 A" 1019 1013 1.46      
24 A" 976 970 25.74      
25 A" 838 833 7.89      
26 A" 682 678 39.33      
27 A" 578 575 60.82      
28 A" 214 213 0.38      
29 A" 188 187 0.65      
30 A" 106 105 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 20284.1 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 20166.5 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/cc-pVDZ
ABC
0.32406 0.06372 0.05379

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.108 -0.367 0.000
C2 0.000 0.612 0.000
C3 1.310 0.282 0.000
C4 2.443 1.256 0.000
O5 -0.688 -1.671 0.000
O6 -2.296 -0.065 0.000
H7 -0.332 1.661 0.000
H8 1.570 -0.791 0.000
H9 2.094 2.307 0.000
H10 3.095 1.101 0.887
H11 3.095 1.101 -0.887
H12 -1.525 -2.187 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47822.50393.90441.37071.22522.17142.71204.17154.53984.53981.8677
C21.47821.35122.52652.38402.39361.10102.10542.69423.25673.25673.1875
C32.50391.35121.49412.79373.62282.14481.10352.17162.15492.15493.7598
C43.90442.52651.49414.28594.91962.80432.22521.10731.11161.11165.2540
O51.37072.38402.79374.28592.27263.35142.42354.85414.77304.77300.9840
O61.22522.39363.62284.91962.27262.61503.93364.98975.58665.58662.2573
H72.17141.10102.14482.80433.35142.61503.10342.51033.58403.58404.0293
H82.71202.10541.10352.22522.42353.93363.10343.14172.58662.58663.3961
H94.17152.69422.17161.10734.85414.98972.51033.14171.80081.80085.7703
H104.53983.25672.15491.11164.77305.58663.58402.58661.80081.77335.7402
H114.53983.25672.15491.11164.77305.58663.58402.58661.80081.77335.7402
H121.86773.18753.75985.25400.98402.25734.02933.39615.77035.74025.7402

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 124.434 C1 C2 H7 113.883
C1 O5 H12 103.755 C2 C1 O5 113.561
C2 C1 O6 124.334 C2 C3 C4 125.161
C2 C3 H8 117.762 C3 C2 H7 121.682
C3 C4 H9 112.331 C3 C4 H10 110.725
C3 C4 H11 110.725 C4 C3 H8 117.077
O5 C1 O6 122.105 H9 C4 H10 108.502
H9 C4 H11 108.502 H10 C4 H11 105.808
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.142      
2 C -0.020      
3 C -0.039      
4 C -0.012      
5 O -0.154      
6 O -0.228      
7 H 0.001      
8 H 0.010      
9 H 0.038      
10 H 0.059      
11 H 0.059      
12 H 0.143      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.493 -0.376 0.000 2.521
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.670 4.491 0.000
y 4.491 -30.898 0.000
z 0.000 0.000 -35.930
Traceless
 xyz
x -3.256 4.491 0.000
y 4.491 5.402 0.000
z 0.000 0.000 -2.146
Polar
3z2-r2-4.292
x2-y2-5.772
xy4.491
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.716 1.168 0.000
y 1.168 7.807 0.000
z 0.000 0.000 4.169


<r2> (average value of r2) Å2
<r2> 202.280
(<r2>)1/2 14.223