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

using model chemistry: B97D3/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 B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-306.425627
Energy at 298.15K 
HF Energy-306.425627
Nuclear repulsion energy239.750585
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/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 3081 3034 11.30      
2 A 3068 3021 28.76      
3 A 3059 3012 19.26      
4 A 3011 2965 25.86      
5 A 3000 2954 7.27      
6 A 2985 2939 45.41      
7 A 1798 1771 401.16      
8 A 1493 1470 0.45      
9 A 1471 1448 4.95      
10 A 1436 1414 7.36      
11 A 1360 1339 12.74      
12 A 1315 1295 1.02      
13 A 1275 1256 4.25      
14 A 1234 1215 4.45      
15 A 1191 1173 6.18      
16 A 1172 1154 3.08      
17 A 1116 1098 183.82      
18 A 1072 1055 16.42      
19 A 1015 1000 53.00      
20 A 980 965 45.94      
21 A 914 900 5.13      
22 A 874 861 8.68      
23 A 849 836 30.22      
24 A 780 768 4.33      
25 A 665 655 3.06      
26 A 624 615 4.70      
27 A 519 511 3.05      
28 A 476 468 2.18      
29 A 198 195 1.57      
30 A 141 139 1.11      

Unscaled Zero Point Vibrational Energy (zpe) 21086.9 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 20764.2 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 B97D3/aug-cc-pVTZ
ABC
0.24180 0.11838 0.08450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.892 0.001 0.003
C2 -0.027 1.207 0.165
C3 -1.407 0.671 -0.216
C4 -1.276 -0.819 0.127
O5 0.128 -1.141 -0.046
O6 2.092 -0.028 -0.069
H7 0.332 2.038 -0.443
H8 0.020 1.519 1.215
H9 -1.581 0.796 -1.289
H10 -2.231 1.145 0.321
H11 -1.846 -1.480 -0.529
H12 -1.546 -1.028 1.170

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52552.40522.32151.37411.20222.15962.13032.90143.34193.15762.8915
C21.52551.52932.38122.36252.46351.09061.09672.16782.21093.31832.8830
C32.40521.52931.53492.38083.57122.22432.19211.09421.09212.21722.1966
C42.32152.38121.53491.45093.46543.32832.88682.16962.19341.09151.0967
O51.37412.36252.38081.45092.25733.20982.94592.86633.30582.06032.0716
O61.20222.46353.57123.46542.25732.73902.88763.95654.49654.22183.9707
H72.15961.09062.22433.32833.20982.73901.76602.43292.82024.13843.9406
H82.13031.09672.19212.88682.94592.88761.76603.05912.45093.93942.9901
H92.90142.16781.09422.16962.86633.95652.43293.05911.77142.41363.0614
H103.34192.21091.09212.19343.30584.49652.82022.45091.77142.78652.4318
H113.15763.31832.21721.09152.06034.22184.13843.93942.41362.78651.7835
H122.89152.88302.19661.09672.07163.97073.94062.99013.06142.43181.7835

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 103.878 C1 C2 H7 110.171
C1 C2 H8 107.534 C1 O5 C4 110.490
C2 C1 O5 109.014 C2 C1 O6 128.764
C2 C3 C4 101.989 C2 C3 H9 110.340
C2 C3 H10 113.960 C3 C2 H7 115.182
C3 C2 H8 112.133 C3 C4 O5 105.721
C3 C4 H11 114.103 C3 C4 H12 112.090
C4 C3 H9 110.096 C4 C3 H10 112.114
O5 C1 O6 122.221 O5 C4 H11 107.415
O5 C4 H12 108.002 H7 C2 H8 107.679
H9 C3 H10 108.242 H11 C4 H12 109.183
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.472      
2 C -0.043      
3 C -0.170      
4 C 0.047      
5 O -0.320      
6 O -0.655      
7 H 0.097      
8 H 0.085      
9 H 0.092      
10 H 0.128      
11 H 0.135      
12 H 0.131      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.334 1.474 0.379 4.594
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.937 1.686 0.260
y 1.686 -35.467 -0.104
z 0.260 -0.104 -33.724
Traceless
 xyz
x -6.342 1.686 0.260
y 1.686 1.864 -0.104
z 0.260 -0.104 4.478
Polar
3z2-r28.955
x2-y2-5.471
xy1.686
xz0.260
yz-0.104


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.778 0.332 -0.083
y 0.332 8.190 0.032
z -0.083 0.032 6.555


<r2> (average value of r2) Å2
<r2> 141.111
(<r2>)1/2 11.879