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

using model chemistry: BLYP/6-311+G(3df,2p)

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/6-311+G(3df,2p)
 hartrees
Energy at 0K-306.507938
Energy at 298.15K 
HF Energy-306.507938
Nuclear repulsion energy238.394960
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/6-311+G(3df,2p)
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 3041 3025 10.73      
2 A 3033 3016 24.29      
3 A 3020 3004 17.19      
4 A 2979 2962 23.12      
5 A 2966 2950 6.82      
6 A 2957 2941 38.26      
7 A 1768 1758 393.68      
8 A 1487 1479 0.37      
9 A 1466 1458 4.76      
10 A 1434 1426 7.63      
11 A 1347 1339 10.53      
12 A 1302 1295 0.55      
13 A 1264 1257 2.72      
14 A 1220 1214 4.39      
15 A 1179 1172 3.97      
16 A 1161 1155 2.60      
17 A 1091 1085 171.17      
18 A 1062 1056 30.65      
19 A 992 987 32.37      
20 A 960 955 59.00      
21 A 897 892 5.35      
22 A 863 858 8.90      
23 A 835 830 34.48      
24 A 765 761 4.94      
25 A 655 652 2.43      
26 A 618 615 5.24      
27 A 519 516 3.41      
28 A 469 467 1.98      
29 A 194 193 1.71      
30 A 142 141 1.15      

Unscaled Zero Point Vibrational Energy (zpe) 20843.3 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 20728.7 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 BLYP/6-311+G(3df,2p)
ABC
0.23905 0.11701 0.08340

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.899 0.001 0.003
C2 -0.024 1.216 0.160
C3 -1.418 0.676 -0.208
C4 -1.286 -0.827 0.124
O5 0.131 -1.146 -0.045
O6 2.103 -0.029 -0.067
H7 0.332 2.040 -0.464
H8 0.032 1.546 1.207
H9 -1.611 0.811 -1.279
H10 -2.236 1.148 0.346
H11 -1.849 -1.484 -0.545
H12 -1.561 -1.051 1.163

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53422.42262.33951.38141.20682.16792.14242.93243.35573.17092.9161
C21.53421.53972.40172.37652.47551.09321.09912.18002.22073.33422.9172
C32.42261.53971.54492.39723.59412.23342.20511.09651.09472.22802.2103
C42.33952.40171.54491.46203.48703.34412.92282.18112.20291.09361.0985
O51.38142.37652.39721.46202.26703.22032.97122.89623.31942.06952.0810
O61.20682.47553.59413.48702.26702.75312.89753.99624.51504.23843.9979
H72.16791.09322.23343.34413.22032.75311.76802.43872.83614.14483.9735
H82.14241.09912.20512.92282.97122.89751.76803.06902.45833.97363.0476
H92.93242.18001.09652.18112.89623.99622.43873.06901.77322.42123.0721
H103.35572.22071.09472.20293.31944.51502.83612.45831.77322.80552.4419
H113.17093.33422.22801.09362.06954.23844.14483.97362.42122.80551.7859
H122.91612.91722.21031.09852.08103.99793.97353.04763.07212.44191.7859

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 104.023 C1 C2 H7 110.062
C1 C2 H8 107.748 C1 O5 C4 110.693
C2 C1 O5 109.080 C2 C1 O6 128.760
C2 C3 C4 102.265 C2 C3 H9 110.447
C2 C3 H10 113.835 C3 C2 H7 114.988
C3 C2 H8 112.291 C3 C4 O5 105.704
C3 C4 H11 114.128 C3 C4 H12 112.379
C4 C3 H9 110.173 C4 C3 H10 112.013
O5 C1 O6 122.159 O5 C4 H11 107.270
O5 C4 H12 107.889 H7 C2 H8 107.501
H9 C3 H10 108.040 H11 C4 H12 109.115
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.870      
2 C -0.340      
3 C -0.271      
4 C 0.040      
5 O -0.598      
6 O -0.674      
7 H 0.164      
8 H 0.178      
9 H 0.163      
10 H 0.152      
11 H 0.158      
12 H 0.157      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.412 1.523 0.376 4.682
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.538 1.774 0.259
y 1.774 -36.007 -0.117
z 0.259 -0.117 -34.244
Traceless
 xyz
x -6.412 1.774 0.259
y 1.774 1.884 -0.117
z 0.259 -0.117 4.528
Polar
3z2-r29.056
x2-y2-5.531
xy1.774
xz0.259
yz-0.117


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.878 0.336 -0.080
y 0.336 8.249 0.032
z -0.080 0.032 6.533


<r2> (average value of r2) Å2
<r2> 142.913
(<r2>)1/2 11.955