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: B3LYP/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-306.608716
Energy at 298.15K-306.615420
HF Energy-306.608716
Nuclear repulsion energy220.309404
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/cc-pVTZ
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' 3757 3631 76.76      
2 A' 3181 3075 5.20      
3 A' 3160 3054 2.95      
4 A' 3105 3002 13.40      
5 A' 3019 2918 13.41      
6 A' 1793 1733 417.33      
7 A' 1707 1650 25.47      
8 A' 1485 1435 17.33      
9 A' 1413 1365 7.23      
10 A' 1374 1329 75.76      
11 A' 1340 1295 5.17      
12 A' 1308 1265 5.68      
13 A' 1195 1155 208.32      
14 A' 1115 1078 47.93      
15 A' 971 939 19.84      
16 A' 878 849 22.66      
17 A' 630 609 51.28      
18 A' 502 485 2.77      
19 A' 385 372 3.13      
20 A' 194 187 1.16      
21 A" 3060 2958 11.89      
22 A" 1478 1428 7.93      
23 A" 1081 1045 2.14      
24 A" 1016 982 35.69      
25 A" 879 850 10.54      
26 A" 706 682 32.58      
27 A" 570 551 78.82      
28 A" 213 206 0.18      
29 A" 192 186 0.61      
30 A" 106 103 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 20906.8 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 20208.5 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 B3LYP/cc-pVTZ
ABC
0.32971 0.06462 0.05457

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.095 -0.380 0.000
C2 0.000 0.603 0.000
C3 1.296 0.294 0.000
C4 2.410 1.286 0.000
O5 -0.679 -1.674 0.000
O6 -2.267 -0.087 0.000
H7 -0.338 1.631 0.000
H8 1.577 -0.753 0.000
H9 2.044 2.312 0.000
H10 3.050 1.145 0.875
H11 3.050 1.145 -0.875
H12 -1.482 -2.213 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47142.48473.88061.35901.20852.14852.69794.13564.50224.50221.8734
C21.47141.33262.50472.37542.36981.08232.07972.66483.21873.21873.1819
C32.48471.33261.49102.78813.58412.11161.08432.15202.13612.13613.7424
C43.88062.50471.49104.27764.87432.76962.20271.08911.09321.09325.2334
O51.35902.37542.78814.27762.24573.32192.43624.82714.75494.75490.9676
O61.20852.36983.58414.87432.24572.58273.90174.93405.52755.52752.2669
H72.14851.08232.11162.76963.32192.58273.05802.47823.53283.53284.0103
H82.69792.07971.08432.20272.43623.90173.05803.10072.55672.55673.3894
H94.13562.66482.15201.08914.82714.93402.47823.10071.77171.77175.7369
H104.50223.21872.13611.09324.75495.52753.53282.55671.77171.74985.7076
H114.50223.21872.13611.09324.75495.52753.53282.55671.77171.74985.7076
H121.87343.18193.74245.23340.96762.26694.01033.38945.73695.70765.7076

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 124.709 C1 C2 H7 113.689
C1 O5 H12 106.036 C2 C1 O5 114.062
C2 C1 O6 124.039 C2 C3 C4 124.917
C2 C3 H8 118.378 C3 C2 H7 121.602
C3 C4 H9 112.099 C3 C4 H10 110.558
C3 C4 H11 110.558 C4 C3 H8 116.705
O5 C1 O6 121.899 H9 C4 H10 108.554
H9 C4 H11 108.554 H10 C4 H11 106.319
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.304      
2 C -0.182      
3 C -0.066      
4 C -0.267      
5 O -0.260      
6 O -0.324      
7 H 0.132      
8 H 0.138      
9 H 0.101      
10 H 0.107      
11 H 0.107      
12 H 0.210      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.769 -0.304 0.000 2.785
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.133 4.523 0.000
y 4.523 -31.160 0.000
z 0.000 0.000 -36.361
Traceless
 xyz
x -4.372 4.523 0.000
y 4.523 6.087 0.000
z 0.000 0.000 -1.715
Polar
3z2-r2-3.430
x2-y2-6.973
xy4.523
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.842 1.050 0.000
y 1.050 7.951 0.000
z 0.000 0.000 5.071


<r2> (average value of r2) Å2
<r2> 200.086
(<r2>)1/2 14.145