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/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 PBEPBE/3-21G
 hartrees
Energy at 0K-304.430951
Energy at 298.15K-304.437542
HF Energy-304.430951
Nuclear repulsion energy217.557611
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/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' 3367 3336 13.06      
2 A' 3143 3115 4.70      
3 A' 3117 3088 1.54      
4 A' 3065 3037 10.94      
5 A' 2969 2942 9.59      
6 A' 1709 1694 216.18      
7 A' 1658 1643 18.14      
8 A' 1500 1486 19.62      
9 A' 1411 1398 13.08      
10 A' 1352 1339 37.95      
11 A' 1312 1300 4.78      
12 A' 1287 1276 0.50      
13 A' 1139 1128 101.41      
14 A' 1072 1063 118.88      
15 A' 955 947 37.81      
16 A' 841 833 25.92      
17 A' 589 583 48.82      
18 A' 477 473 3.38      
19 A' 385 382 3.18      
20 A' 197 195 0.56      
21 A" 3017 2990 10.08      
22 A" 1496 1483 11.99      
23 A" 1068 1059 1.23      
24 A" 999 990 49.65      
25 A" 855 847 4.14      
26 A" 678 672 43.21      
27 A" 563 558 104.16      
28 A" 210 208 0.09      
29 A" 191 190 1.24      
30 A" 114 113 1.41      

Unscaled Zero Point Vibrational Energy (zpe) 20368.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 20183.0 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/3-21G
ABC
0.31736 0.06412 0.05389

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.117 -0.329 0.000
C2 0.000 0.632 0.000
C3 1.294 0.258 0.000
C4 2.458 1.211 0.000
O5 -0.657 -1.654 0.000
O6 -2.326 -0.048 0.000
H7 -0.301 1.683 0.000
H8 1.520 -0.814 0.000
H9 2.123 2.261 0.000
H10 3.096 1.041 0.888
H11 3.096 1.041 -0.888
H12 -1.482 -2.234 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47362.48143.89231.40241.24112.17082.68104.14844.51874.51871.9397
C21.47361.34712.52512.37912.42311.09282.09832.67633.24723.24723.2269
C32.48141.34711.50392.73243.63272.13891.09612.16792.15652.15653.7309
C43.89232.52511.50394.23244.94642.79962.23161.10261.10711.10715.2336
O51.40242.37912.73244.23242.31573.35582.33374.80254.70594.70591.0082
O61.24112.42313.63274.94642.31572.66323.92115.01275.60135.60132.3432
H72.17081.09282.13892.79963.35582.66323.09072.49303.57033.57034.0909
H82.68102.09831.09612.23162.33373.92113.09073.13422.59182.59183.3209
H94.14842.67632.16791.10264.80255.01272.49303.13421.79581.79585.7627
H104.51873.24722.15651.10714.70595.60133.57032.59181.79581.77695.6991
H114.51873.24722.15651.10714.70595.60133.57032.59181.79581.77695.6991
H121.93973.22693.73095.23361.00822.34324.09093.32095.76275.69915.6991

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 123.154 C1 C2 H7 114.710
C1 O5 H12 105.994 C2 C1 O5 111.603
C2 C1 O6 126.183 C2 C3 C4 124.588
C2 C3 H8 118.011 C3 C2 H7 122.135
C3 C4 H9 111.628 C3 C4 H10 110.448
C3 C4 H11 110.448 C4 C3 H8 117.402
O5 C1 O6 122.214 H9 C4 H10 108.715
H9 C4 H11 108.715 H10 C4 H11 106.738
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.553      
2 C -0.257      
3 C -0.144      
4 C -0.653      
5 O -0.521      
6 O -0.463      
7 H 0.216      
8 H 0.231      
9 H 0.221      
10 H 0.231      
11 H 0.231      
12 H 0.356      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.253 -0.449 0.000 2.297
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.487 4.849 0.000
y 4.849 -30.146 0.000
z 0.000 0.000 -36.219
Traceless
 xyz
x -3.304 4.849 0.000
y 4.849 6.206 0.000
z 0.000 0.000 -2.902
Polar
3z2-r2-5.805
x2-y2-6.340
xy4.849
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.697 0.978 0.000
y 0.978 6.892 0.000
z 0.000 0.000 3.155


<r2> (average value of r2) Å2
<r2> 201.701
(<r2>)1/2 14.202