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

using model chemistry: HSEh1PBE/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 HSEh1PBE/3-21G*
 hartrees
Energy at 0K-304.471172
Energy at 298.15K-304.477943
HF Energy-304.471172
Nuclear repulsion energy219.713603
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/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' 3562 3419 36.25      
2 A' 3239 3109 2.73      
3 A' 3212 3083 0.73      
4 A' 3153 3027 9.96      
5 A' 3057 2935 8.16      
6 A' 1803 1731 275.45      
7 A' 1734 1664 17.12      
8 A' 1545 1483 20.25      
9 A' 1462 1403 16.85      
10 A' 1412 1355 65.03      
11 A' 1362 1307 3.97      
12 A' 1334 1280 0.23      
13 A' 1185 1138 140.81      
14 A' 1119 1074 110.02      
15 A' 993 953 27.78      
16 A' 887 851 23.07      
17 A' 621 596 55.50      
18 A' 500 480 4.71      
19 A' 401 385 3.37      
20 A' 205 196 0.62      
21 A" 3111 2987 8.56      
22 A" 1541 1479 13.57      
23 A" 1117 1072 0.92      
24 A" 1042 1000 59.48      
25 A" 903 867 7.09      
26 A" 713 684 49.45      
27 A" 575 552 125.11      
28 A" 217 208 0.18      
29 A" 199 191 1.17      
30 A" 122 117 1.23      

Unscaled Zero Point Vibrational Energy (zpe) 21160.4 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 20311.9 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 HSEh1PBE/3-21G*
ABC
0.32504 0.06523 0.05488

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.106 -0.329 0.000
C2 0.000 0.630 0.000
C3 1.281 0.256 0.000
C4 2.439 1.200 0.000
O5 -0.660 -1.635 0.000
O6 -2.300 -0.050 0.000
H7 -0.301 1.671 0.000
H8 1.503 -0.809 0.000
H9 2.110 2.243 0.000
H10 3.071 1.031 0.882
H11 3.071 1.031 -0.882
H12 -1.454 -2.229 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46412.45733.86131.37961.22632.15672.65274.11824.48114.48111.9317
C21.46411.33422.50512.35902.39861.08392.08052.65583.22063.22063.2078
C32.45731.33421.49502.70923.59382.12241.08732.15372.14162.14163.6951
C43.86132.50511.49504.20044.90172.78022.21641.09411.09821.09825.1885
O51.37962.35902.70924.20042.28073.32572.31534.76564.67004.67000.9920
O61.22632.39863.59384.90172.28072.63853.87804.97055.54985.54982.3377
H72.15671.08392.12242.78023.32572.63853.06652.47713.54373.54374.0677
H82.65272.08051.08732.21642.31533.87803.06653.11182.57362.57363.2806
H94.11822.65582.15371.09414.76564.97052.47713.11181.78111.78115.7188
H104.48113.22062.14161.09824.67005.54983.54372.57361.78111.76425.6470
H114.48113.22062.14161.09824.67005.54983.54372.57361.78111.76425.6470
H121.93173.20783.69515.18850.99202.33774.06773.28065.71885.64705.6470

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 122.771 C1 C2 H7 114.833
C1 O5 H12 107.959 C2 C1 O5 112.069
C2 C1 O6 125.906 C2 C3 C4 124.520
C2 C3 H8 118.094 C3 C2 H7 122.396
C3 C4 H9 111.640 C3 C4 H10 110.416
C3 C4 H11 110.416 C4 C3 H8 117.386
O5 C1 O6 122.025 H9 C4 H10 108.672
H9 C4 H11 108.672 H10 C4 H11 106.881
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.643      
2 C -0.297      
3 C -0.157      
4 C -0.682      
5 O -0.587      
6 O -0.507      
7 H 0.239      
8 H 0.254      
9 H 0.232      
10 H 0.241      
11 H 0.241      
12 H 0.379      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.379 -0.501 0.000 2.431
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.918 4.977 0.000
y 4.977 -29.993 0.000
z 0.000 0.000 -36.158
Traceless
 xyz
x -3.843 4.977 0.000
y 4.977 6.545 0.000
z 0.000 0.000 -2.703
Polar
3z2-r2-5.405
x2-y2-6.926
xy4.977
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.198 0.716 0.000
y 0.716 6.442 0.000
z 0.000 0.000 3.079


<r2> (average value of r2) Å2
<r2> 198.534
(<r2>)1/2 14.090