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

using model chemistry: HF/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HF/6-31G
 hartrees
Energy at 0K-304.554579
Energy at 298.15K 
HF Energy-304.554579
Nuclear repulsion energy240.456495
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 HF/6-31G
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 3343 3019 24.15 83.57 0.55 0.71
2 A 3310 2988 6.85 70.87 0.60 0.75
3 A 3292 2972 20.16 92.87 0.24 0.38
4 A 3261 2944 30.38 100.84 0.20 0.34
5 A 3235 2921 21.72 80.23 0.19 0.32
6 A 3227 2914 6.95 83.05 0.18 0.31
7 A 1960 1770 461.34 11.00 0.46 0.63
8 A 1685 1522 0.81 11.56 0.69 0.81
9 A 1658 1497 7.09 13.05 0.74 0.85
10 A 1626 1468 12.41 11.81 0.75 0.85
11 A 1532 1383 13.33 1.75 0.69 0.81
12 A 1498 1353 0.46 0.89 0.66 0.80
13 A 1459 1318 2.84 3.26 0.73 0.84
14 A 1377 1244 11.92 15.40 0.74 0.85
15 A 1353 1221 5.88 11.36 0.74 0.85
16 A 1313 1185 10.30 2.17 0.75 0.86
17 A 1289 1164 291.22 1.25 0.55 0.71
18 A 1230 1111 9.76 0.74 0.75 0.86
19 A 1141 1030 63.54 6.74 0.73 0.84
20 A 1093 987 41.97 3.03 0.75 0.86
21 A 1003 906 11.21 6.07 0.17 0.28
22 A 984 888 16.17 2.92 0.17 0.29
23 A 953 860 11.62 12.00 0.14 0.25
24 A 870 785 11.13 10.07 0.14 0.25
25 A 732 661 9.33 4.00 0.54 0.70
26 A 704 636 11.78 4.43 0.57 0.73
27 A 582 526 11.08 2.65 0.72 0.84
28 A 519 469 6.93 1.96 0.60 0.75
29 A 197 178 4.83 0.12 0.67 0.80
30 A 146 132 1.57 0.68 0.71 0.83

Unscaled Zero Point Vibrational Energy (zpe) 23285.2 cm-1
Scaled (by 0.9029) Zero Point Vibrational Energy (zpe) 21024.2 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 HF/6-31G
ABC
0.24466 0.11846 0.08454

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 -0.012 0.002
C2 0.003 1.203 0.152
C3 -1.399 0.685 -0.193
C4 -1.300 -0.819 0.111
O5 0.112 -1.125 -0.036
O6 2.091 -0.050 -0.066
H7 0.351 2.001 -0.486
H8 0.068 1.550 1.178
H9 -1.611 0.842 -1.243
H10 -2.180 1.164 0.379
H11 -1.837 -1.445 -0.579
H12 -1.589 -1.060 1.123

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51292.40202.33731.35881.20242.14112.12172.92273.31033.13582.9168
C21.51291.53432.40602.33852.44491.07911.08472.16412.19543.30672.9328
C32.40201.53431.53762.36343.56892.20902.18651.08251.08022.20842.1939
C42.33732.40601.53761.45253.48153.32172.93632.16552.18571.07551.0795
O51.35882.33852.36341.45252.25213.16762.93812.88063.26602.04882.0598
O61.20242.44493.56893.48152.25212.72262.86343.98604.46254.19993.9974
H72.14111.07912.20903.32173.16762.72261.74662.40132.80264.08313.9652
H82.12171.08472.18652.93632.93812.86341.74663.03022.41703.96063.0926
H92.92272.16411.08252.16552.88063.98602.40133.03021.74892.39223.0357
H103.31032.19541.08022.18573.26604.46252.80262.41701.74892.80012.4180
H113.13583.30672.20841.07552.04884.19994.08313.96062.39222.80011.7620
H122.91682.93282.19391.07952.05983.99743.96523.09263.03572.41801.7620

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 104.042 C1 C2 H7 110.271
C1 C2 H8 108.404 C1 O5 C4 112.445
C2 C1 O5 108.928 C2 C1 O6 128.059
C2 C3 C4 103.113 C2 C3 H9 110.391
C2 C3 H10 113.070 C3 C2 H7 114.271
C3 C2 H8 112.064 C3 C4 O5 104.412
C3 C4 H11 114.214 C3 C4 H12 112.748
C4 C3 H9 110.277 C4 C3 H10 112.036
O5 C1 O6 123.009 O5 C4 H11 107.337
O5 C4 H12 107.976 H7 C2 H8 107.647
H9 C3 H10 107.930 H11 C4 H12 109.702
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.787      
2 C -0.435      
3 C -0.383      
4 C 0.023      
5 O -0.692      
6 O -0.534      
7 H 0.228      
8 H 0.222      
9 H 0.197      
10 H 0.192      
11 H 0.203      
12 H 0.190      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -5.379 2.327 0.487 5.881
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -42.119 2.556 0.322
y 2.556 -36.531 -0.161
z 0.322 -0.161 -33.756
Traceless
 xyz
x -6.975 2.556 0.322
y 2.556 1.406 -0.161
z 0.322 -0.161 5.569
Polar
3z2-r211.138
x2-y2-5.588
xy2.556
xz0.322
yz-0.161


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.508 0.403 -0.108
y 0.403 5.620 0.024
z -0.108 0.024 4.869


<r2> (average value of r2) Å2
<r2> 141.256
(<r2>)1/2 11.885