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

using model chemistry: B3LYP/aug-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 B3LYP/aug-cc-pVQZ
 hartrees
Energy at 0K-306.636557
Energy at 298.15K 
HF Energy-306.636557
Nuclear repulsion energy240.818385
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 B3LYP/aug-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 3124 3027 8.59      
2 A 3114 3017 23.01      
3 A 3103 3006 15.76      
4 A 3057 2962 21.31      
5 A 3046 2952 5.41      
6 A 3037 2942 37.69      
7 A 1846 1789 436.70      
8 A 1530 1482 0.85      
9 A 1504 1458 5.91      
10 A 1470 1424 8.09      
11 A 1398 1355 16.56      
12 A 1347 1305 0.94      
13 A 1308 1267 5.17      
14 A 1262 1223 6.99      
15 A 1222 1184 9.30      
16 A 1201 1164 2.83      
17 A 1162 1126 216.83      
18 A 1100 1066 9.46      
19 A 1053 1021 77.40      
20 A 1009 978 22.02      
21 A 934 904 5.30      
22 A 895 867 8.12      
23 A 874 846 22.23      
24 A 803 778 4.35      
25 A 684 662 3.96      
26 A 642 622 5.21      
27 A 538 521 3.74      
28 A 490 475 2.99      
29 A 199 193 1.76      
30 A 145 141 1.26      

Unscaled Zero Point Vibrational Energy (zpe) 21546.9 cm-1
Scaled (by 0.9689) Zero Point Vibrational Energy (zpe) 20876.8 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 B3LYP/aug-cc-pVQZ
ABC
0.24381 0.11945 0.08515

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVQZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.889 -0.002 0.003
C2 -0.023 1.206 0.159
C3 -1.406 0.669 -0.207
C4 -1.269 -0.822 0.123
O5 0.129 -1.130 -0.045
O6 2.081 -0.030 -0.067
H7 0.333 2.025 -0.459
H8 0.034 1.530 1.200
H9 -1.596 0.802 -1.271
H10 -2.219 1.138 0.342
H11 -1.832 -1.474 -0.540
H12 -1.546 -1.043 1.155

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52152.40002.31141.36091.19462.15242.12452.90593.32793.14002.8875
C21.52151.52812.38052.35002.45041.08611.09192.16422.20553.30792.8929
C32.40001.52811.53312.37053.55902.21922.18921.08951.08742.21032.1922
C42.31142.38051.53311.44153.44773.31812.89642.16522.18851.08661.0914
O51.36092.35002.37051.44152.24103.18902.93872.86603.28732.05092.0620
O61.19462.45043.55903.44772.24102.72652.86913.95774.47494.19713.9589
H72.15241.08612.21923.31813.18902.72651.75742.42372.81854.11513.9430
H82.12451.09192.18922.89642.93872.86911.75743.04852.44273.94093.0192
H92.90592.16421.08952.16522.86603.95772.42373.04851.76172.40253.0488
H103.32792.20551.08742.18853.28734.47492.81852.44271.76172.78352.4225
H113.14003.30792.21031.08662.05094.19714.11513.94092.40252.78351.7723
H122.88752.89292.19221.09142.06203.95893.94303.01923.04882.42251.7723

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 103.807 C1 C2 H7 110.145
C1 C2 H8 107.627 C1 O5 C4 111.108
C2 C1 O5 109.105 C2 C1 O6 128.482
C2 C3 C4 102.091 C2 C3 H9 110.422
C2 C3 H10 113.902 C3 C2 H7 115.143
C3 C2 H8 112.284 C3 C4 O5 105.638
C3 C4 H11 113.985 C3 C4 H12 112.195
C4 C3 H9 110.153 C4 C3 H10 112.145
O5 C1 O6 122.412 O5 C4 H11 107.605
O5 C4 H12 108.202 H7 C2 H8 107.583
H9 C3 H10 108.053 H11 C4 H12 108.924
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.906      
2 C -0.571      
3 C -0.666      
4 C -0.207      
5 O -0.673      
6 O -0.722      
7 H 0.357      
8 H 0.269      
9 H 0.291      
10 H 0.354      
11 H 0.423      
12 H 0.240      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.475 1.525 0.385 4.743
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.281 1.752 0.260
y 1.752 -35.600 -0.114
z 0.260 -0.114 -33.818
Traceless
 xyz
x -6.572 1.752 0.260
y 1.752 1.949 -0.114
z 0.260 -0.114 4.623
Polar
3z2-r29.245
x2-y2-5.681
xy1.752
xz0.260
yz-0.114


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.406 0.315 -0.071
y 0.315 7.877 0.024
z -0.071 0.024 6.373


<r2> (average value of r2) Å2
<r2> 140.312
(<r2>)1/2 11.845