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

using model chemistry: wB97X-D/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 wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-306.423025
Energy at 298.15K 
HF Energy-306.423025
Nuclear repulsion energy241.477777
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 wB97X-D/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 3172 3172 7.31      
2 A 3155 3155 18.92      
3 A 3139 3139 20.41      
4 A 3091 3091 18.55      
5 A 3081 3081 6.54      
6 A 3056 3056 43.77      
7 A 1927 1927 388.41      
8 A 1540 1540 0.68      
9 A 1512 1512 5.62      
10 A 1464 1464 8.33      
11 A 1421 1421 23.03      
12 A 1360 1360 2.95      
13 A 1312 1312 12.74      
14 A 1274 1274 10.99      
15 A 1232 1232 40.55      
16 A 1209 1209 12.21      
17 A 1203 1203 170.40      
18 A 1111 1111 51.84      
19 A 1098 1098 29.83      
20 A 1026 1026 9.97      
21 A 953 953 3.12      
22 A 913 913 6.99      
23 A 890 890 9.71      
24 A 820 820 3.59      
25 A 696 696 4.86      
26 A 649 649 4.57      
27 A 536 536 2.99      
28 A 495 495 3.86      
29 A 215 215 1.66      
30 A 145 145 1.01      

Unscaled Zero Point Vibrational Energy (zpe) 21846.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21846.9 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 wB97X-D/6-31G(2df,p)
ABC
0.24431 0.12037 0.08588

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.884 -0.001 0.003
C2 -0.030 1.206 0.169
C3 -1.402 0.662 -0.221
C4 -1.253 -0.823 0.130
O5 0.130 -1.125 -0.046
O6 2.074 -0.026 -0.072
H7 0.330 2.039 -0.433
H8 0.008 1.510 1.221
H9 -1.567 0.781 -1.295
H10 -2.234 1.130 0.306
H11 -1.828 -1.487 -0.517
H12 -1.526 -1.023 1.172

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52312.39082.29281.35381.19242.15812.12892.88183.33083.13562.8669
C21.52311.52632.36882.34562.45011.08931.09532.16502.20933.30952.8653
C32.39081.52631.53302.36023.54642.22282.18791.09331.09062.21082.1899
C42.29282.36881.53301.42623.42643.31822.86762.16792.19301.09101.0963
O51.35382.34562.36021.42622.23253.19312.92552.84113.28602.04632.0582
O61.19242.45013.54643.42642.23252.72662.88023.92494.47634.18973.9368
H72.15811.08932.22283.31823.19312.72661.76592.43432.81914.13453.9238
H82.12891.09532.18792.86762.92552.88021.76593.05682.45143.92102.9617
H92.88182.16501.09332.16792.84113.92492.43433.05681.76962.41143.0565
H103.33082.20931.09062.19303.28604.47632.81912.45141.76962.77382.4265
H113.13563.30952.21081.09102.04634.18974.13453.92102.41142.77381.7780
H122.86692.86532.18991.09632.05823.93683.92382.96173.05652.42651.7780

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 103.262 C1 C2 H7 110.296
C1 C2 H8 107.669 C1 O5 C4 111.097
C2 C1 O5 109.099 C2 C1 O6 128.504
C2 C3 C4 101.481 C2 C3 H9 110.385
C2 C3 H10 114.149 C3 C2 H7 115.370
C3 C2 H8 112.095 C3 C4 O5 105.738
C3 C4 H11 113.751 C3 C4 H12 111.710
C4 C3 H9 110.145 C4 C3 H10 112.316
O5 C1 O6 122.395 O5 C4 H11 108.023
O5 C4 H12 108.655 H7 C2 H8 107.866
H9 C3 H10 108.248 H11 C4 H12 108.760
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.450      
2 C -0.391      
3 C -0.283      
4 C -0.099      
5 O -0.238      
6 O -0.349      
7 H 0.169      
8 H 0.165      
9 H 0.147      
10 H 0.142      
11 H 0.150      
12 H 0.137      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.170 1.390 0.380 4.412
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.678 1.657 0.253
y 1.657 -34.483 -0.080
z 0.253 -0.080 -32.829
Traceless
 xyz
x -6.022 1.657 0.253
y 1.657 1.771 -0.080
z 0.253 -0.080 4.251
Polar
3z2-r28.503
x2-y2-5.195
xy1.657
xz0.253
yz-0.080


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.036 0.396 -0.085
y 0.396 6.587 0.016
z -0.085 0.016 5.576


<r2> (average value of r2) Å2
<r2> 138.775
(<r2>)1/2 11.780