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

using model chemistry: BLYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at BLYP/6-31+G**
 hartrees
Energy at 0K-306.412757
Energy at 298.15K 
HF Energy-306.412757
Nuclear repulsion energy237.371152
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 BLYP/6-31+G**
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 3058 3042 12.44      
2 A 3051 3035 25.65      
3 A 3037 3021 18.31      
4 A 2991 2975 26.79      
5 A 2979 2963 8.12      
6 A 2972 2957 42.65      
7 A 1767 1758 394.61      
8 A 1486 1478 0.17      
9 A 1466 1458 4.96      
10 A 1433 1426 7.68      
11 A 1346 1339 12.68      
12 A 1303 1296 1.06      
13 A 1263 1256 4.18      
14 A 1215 1209 5.11      
15 A 1177 1171 4.71      
16 A 1157 1151 3.16      
17 A 1099 1093 193.05      
18 A 1061 1056 18.96      
19 A 995 990 35.54      
20 A 959 954 55.62      
21 A 897 892 5.90      
22 A 864 859 9.92      
23 A 838 833 30.44      
24 A 767 763 5.43      
25 A 650 646 2.55      
26 A 615 612 5.53      
27 A 514 511 3.33      
28 A 464 461 2.06      
29 A 197 196 2.15      
30 A 144 144 1.08      

Unscaled Zero Point Vibrational Energy (zpe) 20881.3 cm-1
Scaled (by 0.9947) Zero Point Vibrational Energy (zpe) 20770.6 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 BLYP/6-31+G**
ABC
0.23718 0.11599 0.08276

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.899 0.001 0.003
C2 -0.025 1.220 0.164
C3 -1.421 0.678 -0.214
C4 -1.292 -0.828 0.127
O5 0.129 -1.152 -0.047
O6 2.114 -0.030 -0.068
H7 0.335 2.051 -0.458
H8 0.026 1.547 1.218
H9 -1.604 0.808 -1.293
H10 -2.248 1.157 0.333
H11 -1.859 -1.493 -0.538
H12 -1.562 -1.046 1.175

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53802.42712.34621.38741.21772.17542.15072.93263.36843.18342.9201
C21.53801.54472.40812.38602.48861.09871.10442.18772.22973.34892.9187
C32.42711.54471.54932.40443.60892.24262.21341.10201.10022.23812.2187
C42.34622.40811.54931.46833.50423.35802.92622.18892.21181.09871.1036
O51.38742.38602.40441.46832.28043.23562.98172.89843.33502.07652.0889
O61.21772.48863.60893.50422.28042.76552.91554.00414.53824.26044.0116
H72.17541.09872.24263.35803.23562.76551.77702.45012.84504.16883.9821
H82.15071.10442.21342.92622.98172.91551.77703.08332.47073.98433.0406
H92.93262.18771.10202.18892.89844.00412.45013.08331.78252.43503.0874
H103.36842.22971.10022.21183.33504.53822.84502.47071.78252.81582.4562
H113.18343.34892.23811.09872.07654.26044.16883.98432.43502.81581.7953
H122.92012.91872.21871.10362.08894.01163.98213.04063.08742.45621.7953

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 103.876 C1 C2 H7 110.074
C1 C2 H8 107.830 C1 O5 C4 110.457
C2 C1 O5 109.190 C2 C1 O6 128.765
C2 C3 C4 102.210 C2 C3 H9 110.383
C2 C3 H10 113.865 C3 C2 H7 115.030
C3 C2 H8 112.277 C3 C4 O5 105.616
C3 C4 H11 114.314 C3 C4 H12 112.422
C4 C3 H9 110.153 C4 C3 H10 112.076
O5 C1 O6 122.045 O5 C4 H11 107.103
O5 C4 H12 107.778 H7 C2 H8 107.527
H9 C3 H10 108.079 H11 C4 H12 109.216
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.342      
2 C -0.205      
3 C -0.295      
4 C -0.077      
5 O -0.282      
6 O -0.445      
7 H 0.177      
8 H 0.178      
9 H 0.161      
10 H 0.150      
11 H 0.148      
12 H 0.148      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.579 1.635 0.410 4.879
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.654 1.907 0.264
y 1.907 -36.212 -0.127
z 0.264 -0.127 -34.314
Traceless
 xyz
x -6.392 1.907 0.264
y 1.907 1.772 -0.127
z 0.264 -0.127 4.619
Polar
3z2-r29.239
x2-y2-5.443
xy1.907
xz0.264
yz-0.127


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.627 0.401 -0.102
y 0.401 7.889 0.043
z -0.102 0.043 6.259


<r2> (average value of r2) Å2
<r2> 143.949
(<r2>)1/2 11.998