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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-306.065392
Energy at 298.15K-306.072147
HF Energy-306.065392
Nuclear repulsion energy219.102211
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 HSEh1PBE/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' 3681 3521 51.77      
2 A' 3241 3100 4.52      
3 A' 3213 3074 3.02      
4 A' 3165 3028 13.18      
5 A' 3056 2923 13.43      
6 A' 1786 1709 333.93      
7 A' 1727 1652 63.96      
8 A' 1529 1462 18.52      
9 A' 1462 1399 15.26      
10 A' 1413 1352 99.44      
11 A' 1365 1306 4.16      
12 A' 1336 1278 1.79      
13 A' 1197 1145 140.36      
14 A' 1147 1097 91.93      
15 A' 1002 959 36.05      
16 A' 897 858 26.58      
17 A' 625 598 54.26      
18 A' 510 488 5.94      
19 A' 394 377 4.59      
20 A' 196 187 0.80      
21 A" 3122 2986 12.24      
22 A" 1522 1456 14.23      
23 A" 1115 1067 0.02      
24 A" 1036 991 51.44      
25 A" 893 854 6.73      
26 A" 702 672 66.21      
27 A" 596 570 130.47      
28 A" 211 202 0.17      
29 A" 197 188 0.63      
30 A" 117 112 0.53      

Unscaled Zero Point Vibrational Energy (zpe) 21224.8 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20303.7 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 HSEh1PBE/6-31G
ABC
0.32244 0.06463 0.05438

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.094 -0.351 0.000
C2 0.000 0.613 0.000
C3 1.298 0.273 0.000
C4 2.428 1.245 0.000
O5 -0.678 -1.664 0.000
O6 -2.295 -0.057 0.000
H7 -0.319 1.651 0.000
H8 1.553 -0.786 0.000
H9 2.077 2.281 0.000
H10 3.068 1.097 0.879
H11 3.068 1.097 -0.879
H12 -1.457 -2.255 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.45822.47233.86631.37791.23592.14632.68274.12074.49404.49401.9381
C21.45821.34202.50832.37592.39051.08522.09012.66353.22823.22823.2164
C32.47231.34201.49022.76683.60792.12421.08852.15372.14152.14153.7383
C43.86632.50831.49024.25494.89832.77592.21071.09351.09751.09755.2280
O51.37792.37592.76684.25492.27993.33402.39754.81134.73614.73610.9774
O61.23592.39053.60794.89832.27992.61153.91614.95735.55585.55582.3522
H72.14631.08522.12422.77593.33402.61153.07212.47713.54263.54264.0675
H82.68272.09011.08852.21072.39753.91613.07213.11062.57182.57183.3489
H94.12072.66352.15371.09354.81134.95732.47713.11061.77621.77625.7492
H104.49403.22822.14151.09754.73615.55583.54262.57181.77621.75735.6993
H114.49403.22822.14151.09754.73615.55583.54262.57181.77621.75735.6993
H121.93813.21643.73835.22800.97742.35224.06753.34895.74925.69935.6993

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 123.928 C1 C2 H7 114.301
C1 O5 H12 109.575 C2 C1 O5 113.779
C2 C1 O6 124.869 C2 C3 C4 124.581
C2 C3 H8 118.238 C3 C2 H7 121.771
C3 C4 H9 112.024 C3 C4 H10 110.788
C3 C4 H11 110.788 C4 C3 H8 117.181
O5 C1 O6 121.352 H9 C4 H10 108.328
H9 C4 H11 108.328 H10 C4 H11 106.376
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.479      
2 C -0.161      
3 C -0.087      
4 C -0.556      
5 O -0.597      
6 O -0.441      
7 H 0.188      
8 H 0.205      
9 H 0.184      
10 H 0.192      
11 H 0.192      
12 H 0.401      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.860 -0.371 0.000 2.884
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.895 5.366 0.000
y 5.366 -30.330 0.000
z 0.000 0.000 -36.097
Traceless
 xyz
x -4.681 5.366 0.000
y 5.366 6.666 0.000
z 0.000 0.000 -1.985
Polar
3z2-r2-3.970
x2-y2-7.565
xy5.366
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.010 0.749 0.000
y 0.749 6.846 0.000
z 0.000 0.000 3.501


<r2> (average value of r2) Å2
<r2> 200.443
(<r2>)1/2 14.158