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

using model chemistry: B3LYPultrafine/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYPultrafine/3-21G
 hartrees
Energy at 0K-304.805993
Energy at 298.15K 
HF Energy-304.805993
Nuclear repulsion energy237.361187
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 B3LYPultrafine/3-21G
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 3162 3051 12.50      
2 A 3155 3044 15.96      
3 A 3146 3035 9.78      
4 A 3094 2985 15.44      
5 A 3072 2965 35.19      
6 A 3071 2963 4.08      
7 A 1838 1773 270.82      
8 A 1571 1516 0.78      
9 A 1547 1493 6.49      
10 A 1518 1465 11.00      
11 A 1389 1340 1.78      
12 A 1379 1330 0.70      
13 A 1339 1292 5.85      
14 A 1279 1234 5.39      
15 A 1235 1192 2.79      
16 A 1196 1154 2.82      
17 A 1125 1085 48.93      
18 A 1100 1061 167.17      
19 A 1026 990 16.35      
20 A 986 952 53.08      
21 A 928 895 2.02      
22 A 899 867 15.30      
23 A 877 846 24.05      
24 A 774 747 6.36      
25 A 671 648 5.86      
26 A 633 610 3.52      
27 A 532 513 2.22      
28 A 473 456 2.31      
29 A 208 201 3.45      
30 A 149 143 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 21684.8 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 20923.6 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 B3LYPultrafine/3-21G
ABC
0.23705 0.11580 0.08294

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.904 0.004 0.005
C2 -0.027 1.214 0.187
C3 -1.406 0.680 -0.244
C4 -1.305 -0.818 0.137
O5 0.124 -1.160 -0.042
O6 2.115 -0.031 -0.078
H7 0.337 2.058 -0.400
H8 -0.022 1.494 1.248
H9 -1.523 0.779 -1.327
H10 -2.242 1.174 0.255
H11 -1.886 -1.475 -0.510
H12 -1.578 -0.982 1.184

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53762.41972.36091.40211.21432.16932.14982.87443.36553.19952.9194
C21.53761.54062.40152.39052.49141.09041.09742.17182.21633.34282.8681
C32.41971.54061.54882.40193.59602.22792.19171.09391.09132.22362.1980
C42.36092.40151.54881.48083.51623.35552.86812.17752.20441.08961.0945
O51.40212.39052.40191.48082.28923.24552.95472.85033.33702.08792.1055
O61.21432.49143.59603.51622.28922.76222.94043.93054.53234.27574.0167
H72.16931.09042.22793.35553.24552.76221.77842.43982.80374.17603.9271
H82.14981.09742.19172.86812.95472.94041.77843.06452.45273.92152.9252
H92.87442.17181.09392.17752.85033.93052.43983.06451.78192.42523.0679
H103.36552.21631.09132.20443.33704.53232.80372.45271.78192.78002.4401
H113.19953.34282.22361.08962.08794.27574.17603.92152.42522.78001.7909
H122.91942.86812.19801.09452.10554.01673.92712.92523.06792.44011.7909

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 103.644 C1 C2 H7 110.105
C1 C2 H8 108.183 C1 O5 C4 109.926
C2 C1 O5 108.725 C2 C1 O6 129.359
C2 C3 C4 102.036 C2 C3 H9 109.892
C2 C3 H10 113.625 C3 C2 H7 114.647
C3 C2 H8 111.257 C3 C4 O5 104.875
C3 C4 H11 113.733 C3 C4 H12 111.350
C4 C3 H9 109.767 C4 C3 H10 112.056
O5 C1 O6 121.911 O5 C4 H11 107.667
O5 C4 H12 108.755 H7 C2 H8 108.756
H9 C3 H10 109.262 H11 C4 H12 110.160
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.666      
2 C -0.495      
3 C -0.427      
4 C -0.141      
5 O -0.482      
6 O -0.465      
7 H 0.238      
8 H 0.239      
9 H 0.222      
10 H 0.210      
11 H 0.222      
12 H 0.211      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.146 1.724 0.436 4.511
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.548 2.024 0.267
y 2.024 -35.603 -0.078
z 0.267 -0.078 -33.455
Traceless
 xyz
x -5.018 2.024 0.267
y 2.024 0.898 -0.078
z 0.267 -0.078 4.120
Polar
3z2-r28.240
x2-y2-3.944
xy2.024
xz0.267
yz-0.078


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.577 0.517 -0.142
y 0.517 5.797 0.037
z -0.142 0.037 4.803


<r2> (average value of r2) Å2
<r2> 142.971
(<r2>)1/2 11.957