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

using model chemistry: B97D3/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B97D3/6-31G(2df,p)
 hartrees
Energy at 0K-306.329716
Energy at 298.15K 
HF Energy-306.329716
Nuclear repulsion energy239.467170
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 B97D3/6-31G(2df,p)
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 3089 3089 13.03      
2 A 3074 3074 25.66      
3 A 3059 3059 25.58      
4 A 3015 3015 24.71      
5 A 3004 3004 8.53      
6 A 2979 2979 50.42      
7 A 1837 1837 332.03      
8 A 1492 1492 0.44      
9 A 1467 1467 3.23      
10 A 1434 1434 5.89      
11 A 1365 1365 14.68      
12 A 1313 1313 2.30      
13 A 1271 1271 4.75      
14 A 1231 1231 4.53      
15 A 1186 1186 6.54      
16 A 1171 1171 2.63      
17 A 1118 1118 175.77      
18 A 1069 1069 13.50      
19 A 1023 1023 60.61      
20 A 985 985 28.62      
21 A 917 917 3.81      
22 A 874 874 8.44      
23 A 852 852 20.10      
24 A 781 781 3.07      
25 A 667 667 3.43      
26 A 624 624 4.23      
27 A 519 519 2.43      
28 A 474 474 2.53      
29 A 201 201 1.42      
30 A 144 144 0.91      

Unscaled Zero Point Vibrational Energy (zpe) 21117.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21117.8 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 B97D3/6-31G(2df,p)
ABC
0.24052 0.11827 0.08440

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.894 0.002 0.004
C2 -0.032 1.212 0.172
C3 -1.410 0.669 -0.224
C4 -1.270 -0.824 0.128
O5 0.130 -1.141 -0.042
O6 2.093 -0.026 -0.074
H7 0.329 2.052 -0.427
H8 0.003 1.515 1.228
H9 -1.571 0.788 -1.303
H10 -2.246 1.142 0.302
H11 -1.844 -1.491 -0.525
H12 -1.547 -1.026 1.175

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53212.40842.31921.37551.20192.16952.14062.89763.35323.16252.8955
C21.53211.53272.38312.36772.47091.09371.09992.17312.21893.32742.8823
C32.40841.53271.54042.38263.57362.23142.19581.09761.09522.22332.2014
C42.31922.38311.54041.44493.46183.33772.88182.17642.20221.09561.1009
O51.37552.36772.38261.44492.25773.22232.94732.86313.31262.06152.0751
O61.20192.47093.57363.46182.25772.74822.90483.94854.50864.22423.9757
H72.16951.09372.23143.33773.22232.74821.77102.44452.82694.15743.9448
H82.14061.09992.19582.88182.94732.90481.77103.06832.46103.93982.9772
H92.89762.17311.09762.17642.86313.94852.44453.06831.77672.42293.0703
H103.35322.21891.09522.20223.31264.50862.82692.46101.77672.78872.4394
H113.16253.32742.22331.09562.06154.22424.15743.93982.42292.78871.7867
H122.89552.88232.20141.10092.07513.97573.94482.97723.07032.43941.7867

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 103.595 C1 C2 H7 110.311
C1 C2 H8 107.703 C1 O5 C4 110.601
C2 C1 O5 108.916 C2 C1 O6 128.915
C2 C3 C4 101.697 C2 C3 H9 110.322
C2 C3 H10 114.171 C3 C2 H7 115.317
C3 C2 H8 111.984 C3 C4 O5 105.853
C3 C4 H11 113.944 C3 C4 H12 111.829
C4 C3 H9 110.051 C4 C3 H10 112.246
O5 C1 O6 122.167 O5 C4 H11 107.676
O5 C4 H12 108.432 H7 C2 H8 107.675
H9 C3 H10 108.239 H11 C4 H12 108.859
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.447      
2 C -0.356      
3 C -0.238      
4 C -0.073      
5 O -0.226      
6 O -0.337      
7 H 0.144      
8 H 0.143      
9 H 0.127      
10 H 0.120      
11 H 0.129      
12 H 0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.965 1.326 0.356 4.196
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.469 1.583 0.250
y 1.583 -34.578 -0.060
z 0.250 -0.060 -32.967
Traceless
 xyz
x -5.697 1.583 0.250
y 1.583 1.640 -0.060
z 0.250 -0.060 4.057
Polar
3z2-r28.114
x2-y2-4.891
xy1.583
xz0.250
yz-0.060


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.421 0.433 -0.097
y 0.433 6.881 0.023
z -0.097 0.023 5.689


<r2> (average value of r2) Å2
<r2> 140.714
(<r2>)1/2 11.862