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

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-306.146188
Energy at 298.15K-306.152725
HF Energy-306.146188
Nuclear repulsion energy218.895357
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/6-31G(2df,p)
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' 3643 3606 48.82      
2 A' 3123 3091 5.92      
3 A' 3102 3070 4.93      
4 A' 3065 3034 8.94      
5 A' 2963 2932 12.27      
6 A' 1756 1738 303.21      
7 A' 1664 1647 31.90      
8 A' 1432 1417 16.31      
9 A' 1351 1337 28.14      
10 A' 1346 1332 46.35      
11 A' 1288 1275 2.86      
12 A' 1249 1236 5.90      
13 A' 1159 1147 183.59      
14 A' 1091 1080 32.80      
15 A' 947 937 24.00      
16 A' 854 846 18.67      
17 A' 602 596 48.96      
18 A' 483 478 2.80      
19 A' 372 368 2.96      
20 A' 184 182 0.96      
21 A" 3018 2987 8.59      
22 A" 1424 1409 6.97      
23 A" 1031 1020 1.82      
24 A" 986 976 22.91      
25 A" 842 833 7.64      
26 A" 683 676 39.43      
27 A" 580 574 58.80      
28 A" 212 210 0.20      
29 A" 186 184 0.54      
30 A" 100 99 0.16      

Unscaled Zero Point Vibrational Energy (zpe) 20367.4 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 20157.6 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/6-31G(2df,p)
ABC
0.32548 0.06394 0.05398

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.105 -0.372 0.000
C2 0.000 0.605 0.000
C3 1.307 0.287 0.000
C4 2.430 1.272 0.000
O5 -0.681 -1.674 0.000
O6 -2.289 -0.075 0.000
H7 -0.336 1.646 0.000
H8 1.581 -0.775 0.000
H9 2.070 2.312 0.000
H10 3.079 1.126 0.882
H11 3.079 1.126 -0.882
H12 -1.509 -2.194 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.47532.50113.89951.36901.22052.16012.71674.15774.53134.53131.8662
C21.47531.34552.52042.37832.38751.09402.09862.68303.24513.24513.1799
C32.50111.34551.49422.79253.61442.13251.09642.16412.14972.14973.7533
C43.89952.52041.49424.28514.90772.79122.21641.10051.10481.10485.2475
O51.36902.37832.79254.28512.26793.33782.43454.84304.77034.77030.9778
O61.22052.38753.61444.90772.26792.60293.93314.96915.57095.57092.2589
H72.16011.09402.13252.79123.33782.60293.08802.49583.56513.56514.0156
H82.71672.09861.09642.21642.43453.93313.08803.12542.57572.57573.4006
H94.15772.68302.16411.10054.84304.96912.49583.12541.79021.79025.7545
H104.53133.24512.14971.10484.77035.57093.56512.57571.79021.76435.7316
H114.53133.24512.14971.10484.77035.57093.56512.57571.79021.76435.7316
H121.86623.17993.75335.24750.97782.25894.01563.40065.75455.73165.7316

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 124.852 C1 C2 H7 113.607
C1 O5 H12 104.110 C2 C1 O5 113.423
C2 C1 O6 124.396 C2 C3 C4 125.053
C2 C3 H8 118.140 C3 C2 H7 121.541
C3 C4 H9 112.139 C3 C4 H10 110.720
C3 C4 H11 110.720 C4 C3 H8 116.807
O5 C1 O6 122.181 H9 C4 H10 108.534
H9 C4 H11 108.534 H10 C4 H11 105.967
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.377      
2 C -0.170      
3 C -0.019      
4 C -0.471      
5 O -0.360      
6 O -0.338      
7 H 0.117      
8 H 0.126      
9 H 0.141      
10 H 0.152      
11 H 0.152      
12 H 0.291      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.530 -0.323 0.000 2.551
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.638 4.374 0.000
y 4.374 -30.501 0.000
z 0.000 0.000 -35.474
Traceless
 xyz
x -3.650 4.374 0.000
y 4.374 5.554 0.000
z 0.000 0.000 -1.904
Polar
3z2-r2-3.809
x2-y2-6.136
xy4.374
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.618 1.229 0.000
y 1.229 7.768 0.000
z 0.000 0.000 4.490


<r2> (average value of r2) Å2
<r2> 201.406
(<r2>)1/2 14.192