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

using model chemistry: PBE1PBE/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 PBE1PBE/3-21G*
 hartrees
Energy at 0K-304.444118
Energy at 298.15K-304.450880
HF Energy-304.444118
Nuclear repulsion energy219.647618
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 PBE1PBE/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' 3568 3424 37.29      
2 A' 3239 3109 2.58      
3 A' 3212 3083 0.70      
4 A' 3153 3027 9.79      
5 A' 3056 2934 7.98      
6 A' 1805 1732 276.96      
7 A' 1734 1664 17.09      
8 A' 1544 1482 20.25      
9 A' 1460 1402 17.00      
10 A' 1412 1355 66.40      
11 A' 1360 1306 3.85      
12 A' 1332 1278 0.23      
13 A' 1184 1137 141.84      
14 A' 1119 1074 108.34      
15 A' 992 952 26.73      
16 A' 887 851 22.47      
17 A' 620 595 56.11      
18 A' 499 479 4.75      
19 A' 400 384 3.37      
20 A' 204 196 0.63      
21 A" 3111 2986 8.33      
22 A" 1540 1478 13.62      
23 A" 1116 1071 0.87      
24 A" 1042 1000 60.53      
25 A" 903 866 7.15      
26 A" 712 684 49.88      
27 A" 575 552 125.34      
28 A" 215 207 0.21      
29 A" 198 190 1.17      
30 A" 121 116 1.22      

Unscaled Zero Point Vibrational Energy (zpe) 21155.6 cm-1
Scaled (by 0.9598) Zero Point Vibrational Energy (zpe) 20305.1 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 PBE1PBE/3-21G*
ABC
0.32499 0.06518 0.05485

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -1.107 -0.330 0.000
C2 0.000 0.630 0.000
C3 1.281 0.256 0.000
C4 2.440 1.202 0.000
O5 -0.660 -1.635 0.000
O6 -2.301 -0.051 0.000
H7 -0.301 1.672 0.000
H8 1.504 -0.809 0.000
H9 2.109 2.245 0.000
H10 3.072 1.033 0.883
H11 3.072 1.033 -0.883
H12 -1.454 -2.230 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.46522.45843.86311.37941.22652.15812.65394.11944.48264.48261.9311
C21.46521.33462.50592.35972.39991.08422.08152.65603.22123.22123.2085
C32.45841.33461.49592.70983.59512.12321.08762.15462.14232.14233.6958
C43.86312.50591.49594.20204.90372.78082.21771.09441.09841.09845.1903
O51.37942.35972.70984.20202.28073.32662.31624.76674.67144.67140.9922
O61.22652.39993.59514.90372.28072.64013.87944.97195.55165.55162.3370
H72.15811.08422.12322.78083.32662.64013.06772.47703.54423.54424.0686
H82.65392.08151.08762.21772.31623.87943.06773.11302.57462.57463.2816
H94.11942.65602.15461.09444.76674.97192.47703.11301.78181.78185.7200
H104.48263.22122.14231.09844.67145.55163.54422.57461.78181.76515.6487
H114.48263.22122.14231.09844.67145.55163.54422.57461.78181.76515.6487
H121.93113.20853.69585.19030.99222.33704.06863.28165.72005.64875.6487

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 122.741 C1 C2 H7 114.844
C1 O5 H12 107.920 C2 C1 O5 112.066
C2 C1 O6 125.909 C2 C3 C4 124.474
C2 C3 H8 118.123 C3 C2 H7 122.415
C3 C4 H9 111.622 C3 C4 H10 110.388
C3 C4 H11 110.388 C4 C3 H8 117.403
O5 C1 O6 122.025 H9 C4 H10 108.691
H9 C4 H11 108.691 H10 C4 H11 106.922
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.647      
2 C -0.301      
3 C -0.161      
4 C -0.687      
5 O -0.589      
6 O -0.509      
7 H 0.242      
8 H 0.257      
9 H 0.234      
10 H 0.243      
11 H 0.243      
12 H 0.380      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.380 -0.501 0.000 2.432
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.939 4.977 0.000
y 4.977 -29.986 0.000
z 0.000 0.000 -36.197
Traceless
 xyz
x -3.848 4.977 0.000
y 4.977 6.582 0.000
z 0.000 0.000 -2.735
Polar
3z2-r2-5.469
x2-y2-6.954
xy4.977
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.196 0.707 0.000
y 0.707 6.440 0.000
z 0.000 0.000 3.084


<r2> (average value of r2) Å2
<r2> 198.664
(<r2>)1/2 14.095