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

using model chemistry: wB97X-D/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 wB97X-D/aug-cc-pVQZ
 hartrees
Energy at 0K-306.535910
Energy at 298.15K 
HF Energy-306.535910
Nuclear repulsion energy241.916880
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 wB97X-D/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 3165 3165 6.26      
2 A 3148 3148 21.17      
3 A 3138 3138 15.22      
4 A 3089 3089 18.60      
5 A 3080 3080 5.18      
6 A 3061 3061 39.37      
7 A 1889 1889 459.63      
8 A 1543 1543 1.39      
9 A 1515 1515 7.31      
10 A 1462 1462 9.77      
11 A 1422 1422 21.45      
12 A 1366 1366 1.48      
13 A 1315 1315 10.65      
14 A 1279 1279 11.87      
15 A 1237 1237 24.62      
16 A 1212 1212 5.09      
17 A 1202 1202 209.96      
18 A 1111 1111 25.88      
19 A 1094 1094 65.45      
20 A 1027 1027 12.17      
21 A 953 953 3.76      
22 A 916 916 8.14      
23 A 888 888 14.27      
24 A 820 820 4.33      
25 A 696 696 4.24      
26 A 651 651 4.77      
27 A 536 536 3.41      
28 A 498 498 3.68      
29 A 214 214 1.74      
30 A 141 141 1.23      

Unscaled Zero Point Vibrational Energy (zpe) 21832.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21832.7 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 wB97X-D/aug-cc-pVQZ
ABC
0.24572 0.12067 0.08609

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVQZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.882 -0.003 0.002
C2 -0.027 1.202 0.164
C3 -1.400 0.663 -0.214
C4 -1.256 -0.819 0.128
O5 0.129 -1.123 -0.048
O6 2.071 -0.028 -0.068
H7 0.332 2.026 -0.446
H8 0.022 1.512 1.209
H9 -1.576 0.787 -1.282
H10 -2.221 1.130 0.322
H11 -1.828 -1.477 -0.521
H12 -1.524 -1.026 1.166

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51772.38692.29251.35111.19122.14902.11892.88333.31943.12922.8621
C21.51771.52252.36612.33982.44281.08551.09152.15852.20143.29982.8652
C32.38691.52251.52802.35673.54192.21542.18371.08921.08682.20392.1843
C42.29252.36611.52801.42883.42573.30822.87062.16102.18421.08661.0918
O51.35112.33982.35671.42882.22983.18022.92172.84183.27702.04392.0533
O61.19122.44283.54193.42572.22982.71752.86343.92874.46304.18403.9300
H72.14901.08552.21543.30823.18022.71751.75992.42262.81234.11543.9183
H82.11891.09152.18372.87062.92172.86341.75993.04662.44263.91832.9725
H92.88332.15851.08922.16102.84183.92872.42263.04661.76292.40163.0463
H103.31942.20141.08682.18423.27704.46302.81232.44261.76292.76872.4178
H113.12923.29982.20391.08662.04394.18404.11543.91832.40162.76871.7729
H122.86212.86522.18431.09182.05333.93003.91832.97253.04632.41781.7729

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 103.464 C1 C2 H7 110.171
C1 C2 H8 107.474 C1 O5 C4 111.080
C2 C1 O5 109.156 C2 C1 O6 128.379
C2 C3 C4 101.728 C2 C3 H9 110.379
C2 C3 H10 114.020 C3 C2 H7 115.287
C3 C2 H8 112.266 C3 C4 O5 105.648
C3 C4 H11 113.830 C3 C4 H12 111.896
C4 C3 H9 110.187 C4 C3 H10 112.200
O5 C1 O6 122.464 O5 C4 H11 107.915
O5 C4 H12 108.355 H7 C2 H8 107.879
H9 C3 H10 108.224 H11 C4 H12 108.949
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.964      
2 C -0.106      
3 C 0.005      
4 C 0.463      
5 O -0.746      
6 O -0.637      
7 H 0.059      
8 H 0.005      
9 H -0.040      
10 H -0.012      
11 H 0.108      
12 H -0.062      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.473 1.494 0.399 4.732
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.797 1.715 0.262
y 1.715 -35.076 -0.119
z 0.262 -0.119 -33.372
Traceless
 xyz
x -6.573 1.715 0.262
y 1.715 2.009 -0.119
z 0.262 -0.119 4.564
Polar
3z2-r29.128
x2-y2-5.721
xy1.715
xz0.262
yz-0.119


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.163 0.302 -0.066
y 0.302 7.677 0.021
z -0.066 0.021 6.294


<r2> (average value of r2) Å2
<r2> 138.859
(<r2>)1/2 11.784