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

using model chemistry: B2PLYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B2PLYP/6-31+G**
 hartrees
Energy at 0K-306.211725
Energy at 298.15K 
HF Energy-305.908601
Nuclear repulsion energy240.087614
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 B2PLYP/6-31+G**
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 3183 3032 12.27      
2 A 3179 3028 17.61      
3 A 3162 3012 14.96      
4 A 3107 2959 21.80      
5 A 3098 2950 6.93      
6 A 3095 2947 38.77      
7 A 1841 1753 407.85      
8 A 1552 1478 0.39      
9 A 1526 1453 6.20      
10 A 1493 1421 8.31      
11 A 1412 1345 17.06      
12 A 1365 1300 1.59      
13 A 1326 1263 9.27      
14 A 1272 1211 9.48      
15 A 1234 1175 12.69      
16 A 1209 1151 5.85      
17 A 1182 1126 221.04      
18 A 1110 1057 9.29      
19 A 1067 1017 68.92      
20 A 1017 968 29.15      
21 A 947 902 5.75      
22 A 907 864 9.94      
23 A 886 844 21.56      
24 A 812 773 6.09      
25 A 679 646 4.06      
26 A 643 612 4.59      
27 A 533 508 4.12      
28 A 485 462 3.15      
29 A 213 203 2.81      
30 A 151 144 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 21841.0 cm-1
Scaled (by 0.9524) Zero Point Vibrational Energy (zpe) 20801.4 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 B2PLYP/6-31+G**
ABC
0.24271 0.11861 0.08485

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.886 -0.003 0.004
C2 -0.025 1.205 0.173
C3 -1.401 0.670 -0.227
C4 -1.277 -0.814 0.134
O5 0.123 -1.137 -0.048
O6 2.092 -0.030 -0.072
H7 0.341 2.037 -0.425
H8 0.010 1.505 1.225
H9 -1.556 0.784 -1.302
H10 -2.231 1.152 0.291
H11 -1.848 -1.482 -0.509
H12 -1.537 -1.009 1.178

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52252.39532.31411.36791.20852.15492.12912.87863.33653.15082.8745
C21.52251.52912.37602.35682.46321.08871.09442.16672.20923.31742.8629
C32.39531.52911.53262.37063.56582.22372.18961.09221.09042.21582.1932
C42.31412.37601.53261.44823.46523.32632.86842.16612.19151.08851.0934
O51.36792.35682.37061.44822.25893.20402.93502.84223.30092.05372.0677
O61.20852.46323.56583.46522.25892.73202.89363.93454.49614.22193.9610
H72.15491.08872.22373.32633.20402.73201.76502.43702.81284.14543.9215
H82.12911.09442.18962.86842.93502.89361.76503.05872.45293.92192.9525
H92.87862.16671.09222.16612.84223.93452.43703.05871.76892.41763.0598
H103.33652.20921.09042.19153.30094.49612.81282.45291.76892.77932.4370
H113.15083.31742.21581.08852.05374.22194.14543.92192.41762.77931.7794
H122.87452.86292.19321.09342.06773.96103.92152.95253.05982.43701.7794

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 103.429 C1 C2 H7 110.118
C1 C2 H8 107.773 C1 O5 C4 110.486
C2 C1 O5 109.138 C2 C1 O6 128.472
C2 C3 C4 101.802 C2 C3 H9 110.382
C2 C3 H10 113.950 C3 C2 H7 115.268
C3 C2 H8 112.089 C3 C4 O5 105.328
C3 C4 H11 114.357 C3 C4 H12 112.184
C4 C3 H9 110.090 C4 C3 H10 112.232
O5 C1 O6 122.389 O5 C4 H11 107.259
O5 C4 H12 108.074 H7 C2 H8 107.891
H9 C3 H10 108.277 H11 C4 H12 109.275
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.385      
2 C -0.209      
3 C -0.310      
4 C -0.040      
5 O -0.343      
6 O -0.468      
7 H 0.183      
8 H 0.183      
9 H 0.165      
10 H 0.156      
11 H 0.152      
12 H 0.147      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.665 1.687 0.447 4.981
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.473 1.937 0.274
y 1.937 -36.125 -0.150
z 0.274 -0.150 -34.109
Traceless
 xyz
x -6.356 1.937 0.274
y 1.937 1.666 -0.150
z 0.274 -0.150 4.690
Polar
3z2-r29.380
x2-y2-5.348
xy1.937
xz0.274
yz-0.150


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.987 0.379 -0.107
y 0.379 7.266 0.040
z -0.107 0.040 5.937


<r2> (average value of r2) Å2
<r2> 141.022
(<r2>)1/2 11.875