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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-58.080564
Energy at 298.15K-58.087180
HF Energy-58.080564
Nuclear repulsion energy117.230819
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/CEP-121G
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' 3638 3545 38.09      
2 A' 3174 3093 9.75      
3 A' 3147 3067 5.67      
4 A' 3092 3013 23.84      
5 A' 2982 2906 23.60      
6 A' 1699 1656 291.73      
7 A' 1636 1594 150.69      
8 A' 1506 1468 16.30      
9 A' 1436 1399 10.03      
10 A' 1352 1317 61.16      
11 A' 1328 1294 24.95      
12 A' 1307 1273 2.45      
13 A' 1160 1130 121.60      
14 A' 1103 1075 118.09      
15 A' 963 939 36.08      
16 A' 848 826 35.96      
17 A' 592 577 48.94      
18 A' 487 474 6.10      
19 A' 377 368 5.31      
20 A' 188 184 0.73      
21 A" 3047 2969 25.56      
22 A" 1500 1462 12.86      
23 A" 1092 1064 1.78      
24 A" 1013 987 49.60      
25 A" 862 840 6.46      
26 A" 666 649 41.33      
27 A" 564 549 138.26      
28 A" 203 197 0.19      
29 A" 189 184 0.54      
30 A" 114 111 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 20631.4 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 20105.3 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/CEP-121G
ABC
0.31271 0.06276 0.05278

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.107 -0.360 0.000
C2 0.000 0.625 0.000
C3 1.316 0.284 0.000
C4 2.456 1.280 0.000
O5 -0.680 -1.699 0.000
O6 -2.328 -0.071 0.000
H7 -0.330 1.662 0.000
H8 1.578 -0.775 0.000
H9 2.097 2.315 0.000
H10 3.097 1.132 0.882
H11 3.097 1.132 -0.882
H12 -1.464 -2.292 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.48202.50763.92221.40551.25432.16562.71694.17384.54744.54741.9647
C21.48201.35972.54162.42132.42961.08762.10942.69293.25963.25963.2638
C32.50761.35971.51322.81363.66132.14641.09092.17562.16052.16053.7901
C43.92222.54161.51324.32474.97062.81202.23431.09581.10021.10025.3028
O51.40552.42132.81364.32472.31643.37842.43934.88054.80174.80170.9831
O61.25432.42963.66134.97062.31642.64423.96845.02685.62605.62602.3832
H72.16561.08762.14642.81203.37842.64423.09442.51333.57793.57794.1128
H82.71692.10941.09092.23432.43933.96843.09443.13312.59292.59293.3989
H94.17382.69292.17561.09584.88055.02682.51333.13311.78211.78215.8225
H104.54743.25962.16051.10024.80175.62603.57792.59291.78211.76415.7709
H114.54743.25962.16051.10024.80175.62603.57792.59291.78211.76415.7709
H121.96473.26383.79015.30280.98312.38324.11283.39895.82255.77095.7709

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 123.819 C1 C2 H7 113.990
C1 O5 H12 109.407 C2 C1 O5 113.951
C2 C1 O6 125.025 C2 C3 C4 124.341
C2 C3 H8 118.394 C3 C2 H7 122.191
C3 C4 H9 112.007 C3 C4 H10 110.534
C3 C4 H11 110.534 C4 C3 H8 117.265
O5 C1 O6 121.023 H9 C4 H10 108.496
H9 C4 H11 108.496 H10 C4 H11 106.592
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.052      
2 C -0.108      
3 C 0.047      
4 C -0.613      
5 O -0.381      
6 O -0.156      
7 H 0.183      
8 H 0.184      
9 H 0.175      
10 H 0.172      
11 H 0.172      
12 H 0.376      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  3.107 -0.229 0.000 3.115
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.023 5.395 0.000
y 5.395 -31.039 0.000
z 0.000 0.000 -36.873
Traceless
 xyz
x -5.067 5.395 0.000
y 5.395 6.909 0.000
z 0.000 0.000 -1.842
Polar
3z2-r2-3.685
x2-y2-7.984
xy5.395
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.162 0.832 0.000
y 0.832 7.619 0.000
z 0.000 0.000 4.547


<r2> (average value of r2) Å2
<r2> 166.216
(<r2>)1/2 12.892