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

using model chemistry: TPSSh/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at TPSSh/STO-3G
 hartrees
Energy at 0K-302.614356
Energy at 298.15K 
HF Energy-302.614356
Nuclear repulsion energy233.089066
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 TPSSh/STO-3G
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 3480 3480 0.50      
2 A 3463 3463 0.09      
3 A 3407 3407 2.82      
4 A 3365 3365 0.41      
5 A 3351 3351 1.29      
6 A 3291 3291 8.53      
7 A 1884 1884 102.21      
8 A 1671 1671 1.02      
9 A 1658 1658 1.36      
10 A 1643 1643 1.66      
11 A 1466 1466 5.19      
12 A 1451 1451 0.88      
13 A 1400 1400 1.20      
14 A 1333 1333 1.95      
15 A 1299 1299 3.63      
16 A 1234 1234 4.41      
17 A 1210 1210 140.39      
18 A 1148 1148 5.68      
19 A 1127 1127 4.27      
20 A 1070 1070 18.78      
21 A 994 994 1.47      
22 A 940 940 0.87      
23 A 894 894 5.98      
24 A 807 807 4.43      
25 A 675 675 1.39      
26 A 628 628 2.66      
27 A 507 507 1.06      
28 A 457 457 3.49      
29 A 174 174 1.22      
30 A 132 132 0.34      

Unscaled Zero Point Vibrational Energy (zpe) 23078.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 23078.5 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 TPSSh/STO-3G
ABC
0.22585 0.11269 0.07959

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/STO-3G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.911 0.020 0.009
C2 -0.060 1.257 0.148
C3 -1.452 0.671 -0.201
C4 -1.282 -0.851 0.125
O5 0.150 -1.203 -0.053
O6 2.157 -0.002 -0.057
H7 0.256 2.070 -0.526
H8 -0.023 1.629 1.188
H9 -1.672 0.807 -1.274
H10 -2.270 1.118 0.388
H11 -1.875 -1.503 -0.549
H12 -1.579 -1.068 1.176

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.57852.46022.36291.44181.24792.21802.20272.98913.38643.22462.9573
C21.57851.55012.43692.47672.55761.10281.10522.19582.22703.37652.9609
C32.46021.55011.56642.46983.67422.23162.21101.10291.10262.24262.2221
C42.36292.43691.56641.48533.54743.36542.97762.20382.21911.10991.1135
O51.44182.47672.46981.48532.33923.30893.09662.97423.38192.10682.1256
O61.24792.55763.67423.54742.33922.85112.99374.09824.58794.33134.0760
H72.21801.10282.23163.36543.30892.85111.79192.42322.84954.16124.0139
H82.20271.10522.21102.97763.09662.99371.79193.07462.43864.03233.1131
H92.98912.19581.10292.20382.97424.09822.42323.07461.79302.42953.0860
H103.38642.22701.10262.21913.38194.58792.84952.43861.79302.81212.4246
H113.22463.37652.24261.10992.10684.33134.16124.03232.42952.81211.8042
H122.95732.96092.22211.11352.12564.07604.01393.11313.08602.42461.8042

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 103.690 C1 C2 H7 110.364
C1 C2 H8 109.049 C1 O5 C4 107.649
C2 C1 O5 110.088 C2 C1 O6 129.237
C2 C3 C4 102.876 C2 C3 H9 110.594
C2 C3 H10 113.098 C3 C2 H7 113.457
C3 C2 H8 111.658 C3 C4 O5 108.033
C3 C4 H11 112.739 C3 C4 H12 110.899
C4 C3 H9 110.092 C4 C3 H10 111.309
O5 C1 O6 120.673 O5 C4 H11 107.669
O5 C4 H12 108.911 H7 C2 H8 108.499
H9 C3 H10 108.775 H11 C4 H12 108.478
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.196      
2 C -0.149      
3 C -0.131      
4 C -0.039      
5 O -0.162      
6 O -0.195      
7 H 0.085      
8 H 0.082      
9 H 0.077      
10 H 0.079      
11 H 0.082      
12 H 0.074      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -2.850 1.042 0.248 3.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.324 0.467 -0.120
y 0.467 3.694 0.039
z -0.120 0.039 2.718


<r2> (average value of r2) Å2
<r2> 145.790
(<r2>)1/2 12.074