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

using model chemistry: HSEh1PBE/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/aug-cc-pVTZ
 hartrees
Energy at 0K-306.291769
Energy at 298.15K 
HF Energy-306.291769
Nuclear repulsion energy241.866921
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 HSEh1PBE/aug-cc-pVTZ
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 3152 3032 5.53      
2 A 3138 3018 19.10      
3 A 3128 3008 15.48      
4 A 3079 2961 18.64      
5 A 3068 2951 4.22      
6 A 3053 2936 38.14      
7 A 1881 1809 444.02      
8 A 1523 1465 1.63      
9 A 1494 1437 7.91      
10 A 1458 1402 9.30      
11 A 1401 1347 22.45      
12 A 1345 1294 1.76      
13 A 1308 1258 11.28      
14 A 1266 1217 9.11      
15 A 1227 1180 25.31      
16 A 1200 1155 2.18      
17 A 1189 1144 198.72      
18 A 1100 1058 27.67      
19 A 1087 1045 60.80      
20 A 1022 983 15.52      
21 A 952 916 3.81      
22 A 899 865 9.66      
23 A 885 851 14.28      
24 A 816 785 4.00      
25 A 691 665 4.50      
26 A 643 618 4.68      
27 A 535 514 3.05      
28 A 495 476 3.45      
29 A 204 196 1.69      
30 A 148 142 1.24      

Unscaled Zero Point Vibrational Energy (zpe) 21692.2 cm-1
Scaled (by 0.9618) Zero Point Vibrational Energy (zpe) 20863.6 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 HSEh1PBE/aug-cc-pVTZ
ABC
0.24598 0.12058 0.08609

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.882 -0.002 0.003
C2 -0.025 1.199 0.164
C3 -1.397 0.664 -0.214
C4 -1.259 -0.816 0.127
O5 0.127 -1.125 -0.046
O6 2.072 -0.029 -0.069
H7 0.337 2.027 -0.441
H8 0.024 1.508 1.212
H9 -1.571 0.789 -1.284
H10 -2.220 1.136 0.319
H11 -1.830 -1.474 -0.525
H12 -1.533 -1.024 1.165

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51382.38402.29391.35391.19322.14712.11642.88083.31933.13062.8676
C21.51381.51962.36252.33812.44211.08741.09352.15762.20093.29812.8659
C32.38401.51961.52502.35623.54092.21622.18281.09111.08872.20442.1845
C42.29392.36251.52501.43073.42913.30872.86782.15912.18381.08841.0935
O51.35392.33812.35621.43072.23333.18312.91992.84233.27922.04472.0563
O61.19322.44213.54093.42912.23332.71612.86383.92704.46494.18653.9382
H72.14711.08742.21623.30873.18312.71611.75992.42572.81204.11813.9215
H82.11641.09352.18282.86782.91992.86381.75993.04842.44343.91802.9728
H92.88082.15761.09112.15912.84233.92702.42573.04841.76472.40103.0473
H103.31932.20091.08872.18383.27924.46492.81202.44341.76472.77142.4195
H113.13063.29812.20441.08842.04474.18654.11813.91802.40102.77141.7741
H122.86762.86592.18451.09352.05633.93823.92152.97283.04732.41951.7741

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 103.616 C1 C2 H7 110.187
C1 C2 H8 107.434 C1 O5 C4 110.898
C2 C1 O5 109.112 C2 C1 O6 128.495
C2 C3 C4 101.783 C2 C3 H9 110.393
C2 C3 H10 114.072 C3 C2 H7 115.445
C3 C2 H8 112.269 C3 C4 O5 105.675
C3 C4 H11 113.973 C3 C4 H12 112.021
C4 C3 H9 110.133 C4 C3 H10 112.264
O5 C1 O6 122.392 O5 C4 H11 107.749
O5 C4 H12 108.367 H7 C2 H8 107.599
H9 C3 H10 108.103 H11 C4 H12 108.799
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.428      
2 C -0.216      
3 C -0.354      
4 C -0.138      
5 O -0.309      
6 O -0.639      
7 H 0.208      
8 H 0.158      
9 H 0.168      
10 H 0.230      
11 H 0.256      
12 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.437 1.497 0.394 4.699
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.935 1.709 0.269
y 1.709 -35.236 -0.103
z 0.269 -0.103 -33.533
Traceless
 xyz
x -6.550 1.709 0.269
y 1.709 1.997 -0.103
z 0.269 -0.103 4.553
Polar
3z2-r29.105
x2-y2-5.698
xy1.709
xz0.269
yz-0.103


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.271 0.312 -0.072
y 0.312 7.755 0.023
z -0.072 0.023 6.312


<r2> (average value of r2) Å2
<r2> 138.978
(<r2>)1/2 11.789