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

using model chemistry: B97D3/6-311+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 B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-306.417590
Energy at 298.15K 
HF Energy-306.417590
Nuclear repulsion energy239.868168
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 B97D3/6-311+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 3076 3036 11.17      
2 A 3063 3023 29.84      
3 A 3052 3013 19.45      
4 A 3004 2965 26.09      
5 A 2993 2954 7.46      
6 A 2979 2940 45.07      
7 A 1806 1782 404.08      
8 A 1493 1474 0.51      
9 A 1470 1451 5.15      
10 A 1436 1417 7.74      
11 A 1360 1342 13.12      
12 A 1312 1295 1.10      
13 A 1272 1256 4.30      
14 A 1233 1217 5.02      
15 A 1188 1172 6.14      
16 A 1171 1156 2.65      
17 A 1115 1101 185.49      
18 A 1069 1055 15.38      
19 A 1015 1002 56.80      
20 A 981 968 42.81      
21 A 914 902 4.64      
22 A 873 862 9.78      
23 A 850 839 28.53      
24 A 780 770 4.02      
25 A 666 658 3.31      
26 A 624 616 4.45      
27 A 519 513 3.18      
28 A 477 471 2.22      
29 A 201 198 1.68      
30 A 143 141 1.06      

Unscaled Zero Point Vibrational Energy (zpe) 21066.7 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 20792.8 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 B97D3/6-311+G(3df,2p)
ABC
0.24186 0.11853 0.08462

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.892 0.000 0.003
C2 -0.028 1.208 0.167
C3 -1.407 0.670 -0.219
C4 -1.274 -0.820 0.129
O5 0.129 -1.139 -0.046
O6 2.090 -0.027 -0.071
H7 0.333 2.041 -0.437
H8 0.016 1.516 1.219
H9 -1.576 0.792 -1.293
H10 -2.234 1.145 0.313
H11 -1.844 -1.484 -0.525
H12 -1.541 -1.026 1.173

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52662.40482.31931.37181.20072.16122.13182.89833.34363.15672.8879
C21.52661.53012.38042.36132.46281.09071.09702.16902.21243.31972.8791
C32.40481.53011.53582.37913.56892.22592.19281.09451.09242.21852.1975
C42.31932.38041.53581.44903.46193.32972.88262.17092.19481.09171.0970
O51.37182.36132.37911.44902.25453.21012.94312.86213.30582.05902.0705
O61.20072.46283.56893.46192.25452.73812.88923.95074.49674.21953.9660
H72.16121.09072.22593.32973.21012.73811.76632.43682.82094.14343.9379
H82.13181.09702.19282.88262.94312.88921.76633.06122.45363.93652.9810
H92.89832.16901.09452.17092.86213.95072.43683.06121.77172.41693.0636
H103.34362.21241.09242.19483.30584.49672.82092.45361.77172.78622.4349
H113.15673.31972.21851.09172.05904.21954.14343.93652.41692.78621.7836
H122.88792.87912.19751.09702.07053.96603.93792.98103.06362.43491.7836

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 103.763 C1 C2 H7 110.213
C1 C2 H8 107.563 C1 O5 C4 110.582
C2 C1 O5 108.996 C2 C1 O6 128.721
C2 C3 C4 101.867 C2 C3 H9 110.367
C2 C3 H10 114.011 C3 C2 H7 115.250
C3 C2 H8 112.111 C3 C4 O5 105.665
C3 C4 H11 114.136 C3 C4 H12 112.090
C4 C3 H9 110.116 C4 C3 H10 112.152
O5 C1 O6 122.282 O5 C4 H11 107.439
O5 C4 H12 108.026 H7 C2 H8 107.676
H9 C3 H10 108.228 H11 C4 H12 109.159
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.978      
2 C -0.280      
3 C -0.214      
4 C 0.140      
5 O -0.649      
6 O -0.748      
7 H 0.130      
8 H 0.151      
9 H 0.135      
10 H 0.119      
11 H 0.117      
12 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.363 1.482 0.387 4.624
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.955 1.715 0.274
y 1.715 -35.450 -0.111
z 0.274 -0.111 -33.759
Traceless
 xyz
x -6.350 1.715 0.274
y 1.715 1.907 -0.111
z 0.274 -0.111 4.443
Polar
3z2-r28.886
x2-y2-5.505
xy1.715
xz0.274
yz-0.111


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.677 0.326 -0.082
y 0.326 8.089 0.032
z -0.082 0.032 6.472


<r2> (average value of r2) Å2
<r2> 140.992
(<r2>)1/2 11.874