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

using model chemistry: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-306.463527
Energy at 298.15K 
HF Energy-306.463527
Nuclear repulsion energy241.055234
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 mPW1PW91/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3172 3040 8.70      
2 A 3161 3029 21.54      
3 A 3151 3020 13.53      
4 A 3096 2967 20.10      
5 A 3087 2958 5.50      
6 A 3074 2945 41.72      
7 A 1877 1798 436.35      
8 A 1516 1453 1.16      
9 A 1488 1426 8.44      
10 A 1450 1390 8.65      
11 A 1393 1335 26.37      
12 A 1339 1283 3.69      
13 A 1301 1246 18.86      
14 A 1257 1205 7.78      
15 A 1222 1171 38.06      
16 A 1194 1144 1.94      
17 A 1189 1139 171.23      
18 A 1097 1051 53.06      
19 A 1086 1040 31.24      
20 A 1020 977 17.51      
21 A 956 916 4.08      
22 A 897 860 8.29      
23 A 883 846 15.85      
24 A 817 783 4.09      
25 A 688 659 4.29      
26 A 643 617 4.89      
27 A 536 514 3.23      
28 A 492 472 3.86      
29 A 205 196 1.76      
30 A 148 142 1.25      

Unscaled Zero Point Vibrational Energy (zpe) 21716.1 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 20810.5 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 mPW1PW91/aug-cc-pVDZ
ABC
0.24441 0.11983 0.08554

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.883 -0.001 0.003
C2 -0.025 1.203 0.162
C3 -1.401 0.666 -0.213
C4 -1.263 -0.818 0.127
O5 0.127 -1.129 -0.047
O6 2.080 -0.030 -0.068
H7 0.338 2.030 -0.452
H8 0.027 1.518 1.214
H9 -1.581 0.793 -1.287
H10 -2.226 1.139 0.330
H11 -1.834 -1.481 -0.531
H12 -1.535 -1.031 1.170

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51612.38922.29941.35791.19962.15192.12282.89203.32733.13882.8750
C21.51611.52402.36992.34562.45001.09311.09892.16542.20803.30922.8779
C32.38921.52401.52862.36343.55292.22372.19121.09661.09472.21282.1933
C42.29942.36991.52861.43573.44023.31862.88162.16682.19051.09401.0990
O51.35792.34562.36341.43572.24033.19172.93362.85433.29002.05032.0627
O61.19962.45003.55293.44022.24032.72482.87283.94494.47934.19933.9496
H72.15191.09312.22373.31863.19172.72481.77032.43142.82514.12933.9384
H82.12281.09892.19122.88162.93362.87281.77033.06032.44963.93682.9897
H92.89202.16541.09662.16682.85433.94492.43143.06031.77512.40943.0606
H103.32732.20801.09472.19053.29004.47932.82512.44961.77512.78532.4277
H113.13883.30922.21281.09402.05034.19934.12933.93682.40942.78531.7846
H122.87502.87792.19331.09902.06273.94963.93842.98973.06062.42771.7846

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 103.611 C1 C2 H7 110.063
C1 C2 H8 107.469 C1 O5 C4 110.765
C2 C1 O5 109.277 C2 C1 O6 128.518
C2 C3 C4 101.857 C2 C3 H9 110.384
C2 C3 H10 113.955 C3 C2 H7 115.369
C3 C2 H8 112.307 C3 C4 O5 105.701
C3 C4 H11 114.043 C3 C4 H12 112.140
C4 C3 H9 110.166 C4 C3 H10 112.175
O5 C1 O6 122.205 O5 C4 H11 107.518
O5 C4 H12 108.207 H7 C2 H8 107.725
H9 C3 H10 108.208 H11 C4 H12 108.937
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.697      
2 C 0.287      
3 C 0.507      
4 C 1.025      
5 O -0.598      
6 O -0.600      
7 H -0.168      
8 H -0.133      
9 H -0.279      
10 H -0.173      
11 H -0.272      
12 H -0.293      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.498 1.527 0.397 4.766
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.058 1.746 0.264
y 1.746 -35.254 -0.109
z 0.264 -0.109 -33.529
Traceless
 xyz
x -6.666 1.746 0.264
y 1.746 2.039 -0.109
z 0.264 -0.109 4.627
Polar
3z2-r29.254
x2-y2-5.804
xy1.746
xz0.264
yz-0.109


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.319 0.318 -0.077
y 0.318 7.741 0.024
z -0.077 0.024 6.287


<r2> (average value of r2) Å2
<r2> 139.759
(<r2>)1/2 11.822