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

using model chemistry: TPSSh/cc-pVQZ

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/cc-pVQZ
 hartrees
Energy at 0K-306.642815
Energy at 298.15K 
HF Energy-306.642815
Nuclear repulsion energy240.670630
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/cc-pVQZ
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 3123 3123 10.85      
2 A 3113 3113 26.41      
3 A 3102 3102 16.95      
4 A 3054 3054 23.02      
5 A 3043 3043 6.52      
6 A 3034 3034 40.53      
7 A 1838 1838 398.40      
8 A 1533 1533 0.44      
9 A 1507 1507 4.65      
10 A 1473 1473 6.93      
11 A 1395 1395 16.59      
12 A 1344 1344 1.48      
13 A 1304 1304 5.44      
14 A 1260 1260 6.14      
15 A 1217 1217 9.02      
16 A 1195 1195 3.28      
17 A 1155 1155 201.11      
18 A 1093 1093 10.22      
19 A 1048 1048 69.53      
20 A 1004 1004 26.61      
21 A 933 933 4.91      
22 A 887 887 9.76      
23 A 869 869 20.20      
24 A 798 798 3.74      
25 A 674 674 4.41      
26 A 630 630 4.10      
27 A 524 524 3.03      
28 A 483 483 2.95      
29 A 199 199 1.69      
30 A 145 145 1.09      

Unscaled Zero Point Vibrational Energy (zpe) 21489.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21489.4 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/cc-pVQZ
ABC
0.24340 0.11935 0.08521

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.888 0.000 0.003
C2 -0.027 1.205 0.168
C3 -1.403 0.667 -0.219
C4 -1.270 -0.819 0.128
O5 0.129 -1.133 -0.045
O6 2.083 -0.028 -0.071
H7 0.333 2.035 -0.434
H8 0.015 1.511 1.217
H9 -1.569 0.788 -1.291
H10 -2.228 1.141 0.310
H11 -1.834 -1.480 -0.525
H12 -1.538 -1.026 1.167

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52112.39562.31111.36481.19772.15432.12542.88583.33193.14302.8795
C21.52111.52712.37522.35282.45521.08741.09342.16342.20643.31012.8734
C32.39561.52711.53192.37023.55702.22012.18721.09081.08902.21172.1924
C42.31112.37521.53191.44423.45023.32132.87442.16442.18921.08781.0926
O51.36482.35282.37021.44422.24453.19902.93192.85053.29452.05062.0638
O61.19772.45523.55703.45022.24452.73022.88223.93514.48264.20163.9546
H72.15431.08742.22013.32133.19902.73021.76172.43002.81224.13073.9286
H82.12541.09342.18722.87442.93192.88221.76173.05282.44713.92432.9744
H92.88582.16341.09082.16442.85053.93512.43003.05281.76662.40853.0547
H103.33192.20641.08902.18923.29454.48262.81222.44711.76662.77952.4304
H113.14303.31012.21171.08782.05064.20164.13073.92432.40852.77951.7773
H122.87952.87342.19241.09262.06383.95463.92862.97443.05472.43041.7773

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 103.609 C1 C2 H7 110.245
C1 C2 H8 107.640 C1 O5 C4 110.691
C2 C1 O5 109.105 C2 C1 O6 128.727
C2 C3 C4 101.873 C2 C3 H9 110.344
C2 C3 H10 113.956 C3 C2 H7 115.210
C3 C2 H8 112.100 C3 C4 O5 105.538
C3 C4 H11 114.118 C3 C4 H12 112.229
C4 C3 H9 110.090 C4 C3 H10 112.190
O5 C1 O6 122.166 O5 C4 H11 107.330
O5 C4 H12 108.087 H7 C2 H8 107.773
H9 C3 H10 108.280 H11 C4 H12 109.201
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.359      
2 C -0.398      
3 C -0.332      
4 C -0.127      
5 O -0.229      
6 O -0.331      
7 H 0.209      
8 H 0.179      
9 H 0.163      
10 H 0.180      
11 H 0.190      
12 H 0.137      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.341 1.471 0.389 4.600
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 9.196 0.350 -0.077
y 0.350 7.633 0.020
z -0.077 0.020 6.168


<r2> (average value of r2) Å2
<r2> 140.024
(<r2>)1/2 11.833