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

using model chemistry: B3LYP/cc-pVQZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/cc-pVQZ
 hartrees
Energy at 0K-306.634856
Energy at 298.15K 
HF Energy-306.634856
Nuclear repulsion energy240.848503
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 B3LYP/cc-pVQZ
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 3124 3027 8.83      
2 A 3113 3016 24.12      
3 A 3103 3006 15.92      
4 A 3058 2962 21.71      
5 A 3047 2952 5.55      
6 A 3036 2941 38.59      
7 A 1852 1794 419.17      
8 A 1529 1482 0.76      
9 A 1504 1457 5.82      
10 A 1469 1423 8.01      
11 A 1399 1355 15.97      
12 A 1346 1304 0.84      
13 A 1307 1267 5.43      
14 A 1262 1223 6.97      
15 A 1221 1183 9.03      
16 A 1201 1163 2.79      
17 A 1162 1126 215.94      
18 A 1100 1066 9.44      
19 A 1054 1021 76.71      
20 A 1009 978 21.30      
21 A 934 904 5.08      
22 A 895 867 8.11      
23 A 874 847 21.61      
24 A 803 778 4.24      
25 A 684 663 4.10      
26 A 642 622 5.06      
27 A 538 521 3.56      
28 A 490 475 3.06      
29 A 200 193 1.73      
30 A 146 141 1.21      

Unscaled Zero Point Vibrational Energy (zpe) 21549.9 cm-1
Scaled (by 0.9688) Zero Point Vibrational Energy (zpe) 20877.6 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 B3LYP/cc-pVQZ
ABC
0.24383 0.11949 0.08518

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVQZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.889 -0.002 0.003
C2 -0.023 1.206 0.160
C3 -1.405 0.669 -0.208
C4 -1.269 -0.822 0.123
O5 0.129 -1.130 -0.044
O6 2.081 -0.030 -0.067
H7 0.333 2.026 -0.458
H8 0.032 1.529 1.201
H9 -1.594 0.801 -1.272
H10 -2.220 1.138 0.340
H11 -1.832 -1.474 -0.539
H12 -1.546 -1.041 1.156

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52182.39982.31101.36101.19412.15262.12492.90443.32843.14022.8874
C21.52181.52792.37992.34992.45021.08611.09192.16392.20553.30772.8915
C32.39981.52791.53302.37023.55822.21912.18891.08951.08742.20982.1916
C42.31102.37991.53301.44093.44693.31792.89482.16512.18861.08661.0914
O51.36102.34992.37021.44092.24083.18932.93812.86473.28742.05092.0623
O61.19412.45023.55823.44692.24082.72622.86973.95534.47484.19703.9586
H72.15261.08612.21913.31793.18932.72621.75742.42372.81804.11563.9418
H82.12491.09192.18892.89482.93812.86971.75743.04832.44303.93943.0163
H92.90442.16391.08952.16512.86473.95532.42373.04831.76172.40243.0485
H103.32842.20551.08742.18863.28744.47482.81802.44301.76172.78232.4222
H113.14023.30772.20981.08662.05094.19704.11563.93942.40242.78231.7722
H122.88742.89152.19161.09142.06233.95863.94183.01633.04852.42221.7722

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 103.792 C1 C2 H7 110.143
C1 C2 H8 107.645 C1 O5 C4 111.108
C2 C1 O5 109.081 C2 C1 O6 128.485
C2 C3 C4 102.066 C2 C3 H9 110.408
C2 C3 H10 113.924 C3 C2 H7 115.146
C3 C2 H8 112.270 C3 C4 O5 105.648
C3 C4 H11 113.947 C3 C4 H12 112.152
C4 C3 H9 110.150 C4 C3 H10 112.158
O5 C1 O6 122.433 O5 C4 H11 107.647
O5 C4 H12 108.262 H7 C2 H8 107.593
H9 C3 H10 108.058 H11 C4 H12 108.905
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.433      
2 C -0.252      
3 C -0.189      
4 C 0.101      
5 O -0.302      
6 O -0.359      
7 H 0.123      
8 H 0.110      
9 H 0.093      
10 H 0.097      
11 H 0.091      
12 H 0.055      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.411 1.506 0.380 4.677
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.057 1.757 0.254
y 1.757 -35.523 -0.103
z 0.254 -0.103 -33.743
Traceless
 xyz
x -6.424 1.757 0.254
y 1.757 1.877 -0.103
z 0.254 -0.103 4.547
Polar
3z2-r29.094
x2-y2-5.534
xy1.757
xz0.254
yz-0.103


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.109 0.345 -0.071
y 0.345 7.574 0.017
z -0.071 0.017 6.154


<r2> (average value of r2) Å2
<r2> 140.200
(<r2>)1/2 11.841