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

using model chemistry: mPW1PW91/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 mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-306.522836
Energy at 298.15K-306.529548
HF Energy-306.522836
Nuclear repulsion energy221.131293
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 mPW1PW91/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' 3817 3662 83.13      
2 A' 3208 3077 3.82      
3 A' 3184 3054 3.25      
4 A' 3140 3012 10.59      
5 A' 3044 2920 11.30      
6 A' 1829 1754 434.39      
7 A' 1731 1660 29.27      
8 A' 1482 1422 18.61      
9 A' 1409 1351 28.97      
10 A' 1399 1342 81.60      
11 A' 1339 1284 3.90      
12 A' 1301 1248 5.93      
13 A' 1210 1160 205.75      
14 A' 1130 1083 31.94      
15 A' 982 942 16.35      
16 A' 890 854 22.41      
17 A' 634 608 54.18      
18 A' 505 484 3.07      
19 A' 385 369 3.00      
20 A' 192 184 1.21      
21 A" 3097 2971 9.06      
22 A" 1475 1415 8.76      
23 A" 1080 1035 2.56      
24 A" 1019 978 37.11      
25 A" 884 848 11.88      
26 A" 711 682 33.18      
27 A" 576 553 78.26      
28 A" 211 203 0.27      
29 A" 193 185 0.68      
30 A" 102 98 0.10      

Unscaled Zero Point Vibrational Energy (zpe) 21078.2 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 20218.2 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 mPW1PW91/cc-pVTZ
ABC
0.33277 0.06512 0.05501

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.092 -0.377 0.000
C2 0.000 0.604 0.000
C3 1.292 0.289 0.000
C4 2.405 1.271 0.000
O5 -0.678 -1.661 0.000
O6 -2.261 -0.082 0.000
H7 -0.335 1.633 0.000
H8 1.565 -0.761 0.000
H9 2.044 2.298 0.000
H10 3.044 1.126 0.874
H11 3.044 1.126 -0.874
H12 -1.481 -2.195 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46762.47543.86621.34931.20492.14742.68434.12184.48684.48681.8593
C21.46761.33012.49612.36422.36231.08222.07622.65493.20993.20993.1663
C32.47541.33011.48472.77223.57202.11051.08462.14552.12962.12963.7228
C43.86622.49611.48474.25534.85812.76372.19961.08851.09261.09265.2075
O51.34932.36422.77224.25532.23493.31172.41684.80484.73204.73200.9640
O61.20492.36233.57204.85812.23492.57873.88484.91875.51035.51032.2516
H72.14741.08222.11052.76373.31172.57873.05602.47003.52673.52673.9956
H82.68432.07621.08462.19962.41683.88483.05603.09672.55282.55283.3662
H94.12182.65492.14551.08854.80484.91872.47003.09671.77141.77145.7107
H104.48683.20992.12961.09264.73205.51033.52672.55281.77141.74885.6809
H114.48683.20992.12961.09264.73205.51033.52672.55281.77141.74885.6809
H121.85933.16633.72285.20750.96402.25163.99563.36625.71075.68095.6809

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 124.384 C1 C2 H7 113.888
C1 O5 H12 105.774 C2 C1 O5 114.062
C2 C1 O6 123.947 C2 C3 C4 124.852
C2 C3 H8 118.242 C3 C2 H7 121.727
C3 C4 H9 112.057 C3 C4 H10 110.516
C3 C4 H11 110.516 C4 C3 H8 116.905
O5 C1 O6 121.991 H9 C4 H10 108.616
H9 C4 H11 108.616 H10 C4 H11 106.325
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.311      
2 C -0.188      
3 C -0.071      
4 C -0.222      
5 O -0.246      
6 O -0.328      
7 H 0.124      
8 H 0.128      
9 H 0.092      
10 H 0.098      
11 H 0.098      
12 H 0.205      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.780 -0.346 0.000 2.801
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.597 4.561 0.000
y 4.561 -30.632 0.000
z 0.000 0.000 -36.071
Traceless
 xyz
x -4.245 4.561 0.000
y 4.561 6.202 0.000
z 0.000 0.000 -1.957
Polar
3z2-r2-3.914
x2-y2-6.965
xy4.561
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.691 0.991 0.000
y 0.991 7.790 0.000
z 0.000 0.000 5.043


<r2> (average value of r2) Å2
<r2> 198.397
(<r2>)1/2 14.085