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

using model chemistry: B97D3/aug-cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-306.352754
Energy at 298.15K 
HF Energy-306.352754
Nuclear repulsion energy238.841429
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-pVDZ
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 3091 3091 16.18      
2 A 3081 3081 30.44      
3 A 3070 3070 17.74      
4 A 3016 3016 27.99      
5 A 3006 3006 9.30      
6 A 2993 2993 50.20      
7 A 1792 1792 392.64      
8 A 1480 1480 0.27      
9 A 1457 1457 5.33      
10 A 1422 1422 6.94      
11 A 1346 1346 14.58      
12 A 1301 1301 2.21      
13 A 1260 1260 7.14      
14 A 1221 1221 3.95      
15 A 1179 1179 8.63      
16 A 1161 1161 3.53      
17 A 1117 1117 176.36      
18 A 1062 1062 11.35      
19 A 1017 1017 51.82      
20 A 974 974 43.97      
21 A 916 916 6.46      
22 A 871 871 7.95      
23 A 845 845 31.16      
24 A 781 781 4.41      
25 A 661 661 2.77      
26 A 623 623 4.94      
27 A 518 518 3.13      
28 A 472 472 2.46      
29 A 199 199 1.61      
30 A 142 142 1.11      

Unscaled Zero Point Vibrational Energy (zpe) 21035.7 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21035.7 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 B97D3/aug-cc-pVDZ
ABC
0.24011 0.11753 0.08393

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.893 0.002 0.004
C2 -0.027 1.211 0.165
C3 -1.412 0.672 -0.217
C4 -1.281 -0.821 0.129
O5 0.129 -1.144 -0.048
O6 2.100 -0.028 -0.069
H7 0.335 2.045 -0.451
H8 0.020 1.527 1.221
H9 -1.587 0.798 -1.297
H10 -2.240 1.150 0.326
H11 -1.852 -1.488 -0.532
H12 -1.548 -1.031 1.179

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52832.41062.32761.37861.20962.16612.13822.91103.35263.16872.8989
C21.52831.53412.38832.37042.47311.09781.10372.17702.21993.33202.8928
C32.41061.53411.53882.38813.58432.23392.20181.10121.09962.22742.2063
C42.32762.38831.53881.45653.47803.34082.89832.17862.20141.09871.1038
O51.37862.37042.38811.45652.26563.22122.95952.87663.31902.06752.0800
O61.20962.47313.58433.47802.26562.74922.90023.97284.51474.23823.9834
H72.16611.09782.23393.34083.22122.74921.77902.44202.83514.15583.9575
H82.13821.10372.20182.89832.95952.90021.77903.07462.45983.95843.0004
H92.91102.17701.10122.17862.87663.97282.44203.07461.78482.42503.0780
H103.35262.21991.09962.20143.31904.51472.83512.45981.78482.80152.4420
H113.16873.33202.22741.09872.06754.23824.15583.95842.42502.80151.7968
H122.89892.89282.20631.10382.08003.98343.95753.00043.07802.44201.7968

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 103.844 C1 C2 H7 110.059
C1 C2 H8 107.561 C1 O5 C4 110.340
C2 C1 O5 109.153 C2 C1 O6 128.811
C2 C3 C4 102.013 C2 C3 H9 110.318
C2 C3 H10 113.867 C3 C2 H7 115.150
C3 C2 H8 112.140 C3 C4 O5 105.710
C3 C4 H11 114.206 C3 C4 H12 112.164
C4 C3 H9 110.119 C4 C3 H10 112.029
O5 C1 O6 122.036 O5 C4 H11 107.194
O5 C4 H12 107.872 H7 C2 H8 107.814
H9 C3 H10 108.386 H11 C4 H12 109.330
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.631      
2 C 0.508      
3 C 0.719      
4 C 1.182      
5 O -0.574      
6 O -0.567      
7 H -0.266      
8 H -0.235      
9 H -0.381      
10 H -0.273      
11 H -0.360      
12 H -0.383      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.389 1.498 0.384 4.653
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.162 1.723 0.258
y 1.723 -35.600 -0.111
z 0.258 -0.111 -33.835
Traceless
 xyz
x -6.444 1.723 0.258
y 1.723 1.899 -0.111
z 0.258 -0.111 4.546
Polar
3z2-r29.092
x2-y2-5.562
xy1.723
xz0.258
yz-0.111


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.897 0.341 -0.090
y 0.341 8.240 0.035
z -0.090 0.035 6.578


<r2> (average value of r2) Å2
<r2> 142.056
(<r2>)1/2 11.919