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All results from a given calculation for C4H6O2 (γ–Butyrolactone)

using model chemistry: PBEPBEultrafine/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBEultrafine/Def2TZVPP
 hartrees
Energy at 0K-306.259277
Energy at 298.15K 
HF Energy-306.259277
Nuclear repulsion energy239.622854
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 PBEPBEultrafine/Def2TZVPP
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 3067 3067 6.73      
2 A 3054 3054 20.06      
3 A 3043 3043 17.06      
4 A 2999 2999 20.27      
5 A 2986 2986 5.34      
6 A 2968 2968 39.91      
7 A 1801 1801 371.40      
8 A 1471 1471 0.88      
9 A 1446 1446 6.47      
10 A 1411 1411 8.66      
11 A 1342 1342 13.03      
12 A 1295 1295 0.72      
13 A 1255 1255 6.11      
14 A 1217 1217 5.02      
15 A 1177 1177 9.15      
16 A 1154 1154 2.37      
17 A 1117 1117 184.96      
18 A 1055 1055 11.10      
19 A 1023 1023 58.13      
20 A 982 982 33.92      
21 A 919 919 4.12      
22 A 865 865 7.18      
23 A 845 845 23.84      
24 A 782 782 3.53      
25 A 663 663 2.89      
26 A 617 617 4.15      
27 A 514 514 2.16      
28 A 473 473 2.30      
29 A 199 199 1.46      
30 A 144 144 1.10      

Unscaled Zero Point Vibrational Energy (zpe) 20941.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 20941.7 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 PBEPBEultrafine/Def2TZVPP
ABC
0.24160 0.11832 0.08449

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/Def2TZVPP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.002 0.003
C2 -0.028 1.207 0.166
C3 -1.407 0.670 -0.217
C4 -1.274 -0.819 0.128
O5 0.128 -1.141 -0.046
O6 2.093 -0.028 -0.069
H7 0.334 2.042 -0.443
H8 0.020 1.522 1.220
H9 -1.581 0.795 -1.294
H10 -2.237 1.146 0.319
H11 -1.849 -1.483 -0.529
H12 -1.547 -1.029 1.174

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52442.40292.31841.37511.20502.16132.13332.90163.34573.16092.8946
C21.52441.52832.37872.36262.46631.09531.10152.17062.21503.32132.8852
C32.40291.52831.53422.37953.57232.22882.19691.09871.09672.21952.2001
C42.31842.37871.53421.44813.46423.33172.88912.17312.19731.09651.1016
O51.37512.36262.37951.44812.25893.21442.95052.86743.31002.06282.0752
O61.20502.46633.57233.46422.25892.74242.89213.95944.50374.22683.9749
H72.16131.09532.22883.33173.21442.74241.77072.43902.82784.14723.9483
H82.13331.10152.19692.88912.95052.89211.77073.06812.45933.94692.9942
H92.90162.17061.09872.17312.86743.95942.43903.06811.77662.41783.0695
H103.34572.21501.09672.19733.31004.50372.82782.45931.77662.78952.4374
H113.16093.32132.21951.09652.06284.22684.14723.94692.41782.78951.7880
H122.89462.88522.20011.10162.07523.97493.94832.99423.06952.43741.7880

picture of γ–Butyrolactone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 103.842 C1 C2 H7 110.103
C1 C2 H8 107.574 C1 O5 C4 110.381
C2 C1 O5 109.032 C2 C1 O6 128.896
C2 C3 C4 101.923 C2 C3 H9 110.362
C2 C3 H10 114.083 C3 C2 H7 115.333
C3 C2 H8 112.300 C3 C4 O5 105.820
C3 C4 H11 114.032 C3 C4 H12 112.127
C4 C3 H9 110.150 C4 C3 H10 112.200
O5 C1 O6 122.070 O5 C4 H11 107.517
O5 C4 H12 108.188 H7 C2 H8 107.428
H9 C3 H10 108.038 H11 C4 H12 108.867
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.162      
2 C -0.114      
3 C -0.144      
4 C -0.005      
5 O -0.161      
6 O -0.245      
7 H 0.085      
8 H 0.089      
9 H 0.083      
10 H 0.074      
11 H 0.090      
12 H 0.083      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.227 1.450 0.373 4.484
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.745 1.693 0.250
y 1.693 -35.450 -0.084
z 0.250 -0.084 -33.830
Traceless
 xyz
x -6.104 1.693 0.250
y 1.693 1.837 -0.084
z 0.250 -0.084 4.267
Polar
3z2-r28.534
x2-y2-5.295
xy1.693
xz0.250
yz-0.084


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.401 0.399 -0.083
y 0.399 7.781 0.023
z -0.083 0.023 6.286


<r2> (average value of r2) Å2
<r2> 141.186
(<r2>)1/2 11.882