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

using model chemistry: B1B95/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B1B95/6-311+G(3df,2p)
 hartrees
Energy at 0K-306.475369
Energy at 298.15K 
HF Energy-306.475369
Nuclear repulsion energy242.567408
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 B1B95/6-311+G(3df,2p)
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 3159 3159 5.73      
2 A 3145 3145 20.14      
3 A 3135 3135 16.33      
4 A 3084 3084 19.09      
5 A 3073 3073 4.31      
6 A 3058 3058 38.02      
7 A 1894 1894 451.63      
8 A 1528 1528 1.74      
9 A 1498 1498 7.56      
10 A 1462 1462 9.32      
11 A 1403 1403 25.05      
12 A 1346 1346 2.63      
13 A 1309 1309 12.17      
14 A 1269 1269 11.42      
15 A 1225 1225 29.35      
16 A 1201 1201 2.85      
17 A 1193 1193 192.15      
18 A 1100 1100 54.46      
19 A 1089 1089 36.72      
20 A 1023 1023 13.31      
21 A 954 954 3.08      
22 A 900 900 13.17      
23 A 886 886 9.22      
24 A 817 817 3.79      
25 A 689 689 5.19      
26 A 638 638 4.27      
27 A 529 529 3.14      
28 A 495 495 3.54      
29 A 210 210 1.94      
30 A 149 149 1.01      

Unscaled Zero Point Vibrational Energy (zpe) 21729.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21729.5 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 B1B95/6-311+G(3df,2p)
ABC
0.24722 0.12127 0.08674

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.879 -0.003 0.003
C2 -0.028 1.195 0.174
C3 -1.390 0.661 -0.228
C4 -1.256 -0.811 0.133
O5 0.125 -1.121 -0.047
O6 2.066 -0.029 -0.074
H7 0.339 2.031 -0.410
H8 0.006 1.483 1.225
H9 -1.539 0.771 -1.300
H10 -2.222 1.138 0.282
H11 -1.830 -1.477 -0.503
H12 -1.520 -1.002 1.174

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51142.37502.28631.34971.19012.14452.11272.85373.31553.12592.8504
C21.51141.51682.35222.33112.43771.08441.09082.15312.19743.29332.8379
C32.37501.51681.52192.34603.52742.21322.17581.08831.08592.20052.1792
C42.28632.35221.52191.42643.41913.30412.83702.15362.18061.08551.0908
O51.34972.33112.34601.42642.22763.18032.90082.81433.27392.03942.0518
O61.19012.43773.52743.41912.22762.70922.86713.89104.45804.17933.9199
H72.14451.08442.21323.30413.18032.70921.75702.43012.79894.12583.8946
H82.11271.09082.17582.83702.90082.86711.75703.04482.44353.88872.9170
H92.85372.15311.08832.15362.81433.89102.43013.04481.76162.40313.0441
H103.31552.19741.08592.18063.27394.45802.79892.44351.76162.75812.4227
H113.12593.29332.20051.08552.03944.17934.12583.88872.40312.75811.7702
H122.85042.83792.17921.09082.05183.91993.89462.91703.04412.42271.7702

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 103.310 C1 C2 H7 110.330
C1 C2 H8 107.460 C1 O5 C4 110.855
C2 C1 O5 108.996 C2 C1 O6 128.547
C2 C3 C4 101.441 C2 C3 H9 110.398
C2 C3 H10 114.167 C3 C2 H7 115.607
C3 C2 H8 112.072 C3 C4 O5 105.397
C3 C4 H11 114.075 C3 C4 H12 111.988
C4 C3 H9 110.080 C4 C3 H10 112.400
O5 C1 O6 122.456 O5 C4 H11 107.792
O5 C4 H12 108.467 H7 C2 H8 107.755
H9 C3 H10 108.234 H11 C4 H12 108.860
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.114      
2 C -0.481      
3 C -0.288      
4 C 0.038      
5 O -0.658      
6 O -0.760      
7 H 0.173      
8 H 0.198      
9 H 0.181      
10 H 0.159      
11 H 0.160      
12 H 0.165      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.449 1.508 0.417 4.716
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.779 1.714 0.300
y 1.714 -35.097 -0.117
z 0.300 -0.117 -33.469
Traceless
 xyz
x -6.496 1.714 0.300
y 1.714 2.027 -0.117
z 0.300 -0.117 4.469
Polar
3z2-r28.938
x2-y2-5.682
xy1.714
xz0.300
yz-0.117


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.129 0.306 -0.077
y 0.306 7.594 0.024
z -0.077 0.024 6.202


<r2> (average value of r2) Å2
<r2> 138.138
(<r2>)1/2 11.753