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

using model chemistry: HF/aug-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 HF/aug-cc-pVQZ
 hartrees
Energy at 0K-304.840134
Energy at 298.15K 
HF Energy-304.840134
Nuclear repulsion energy243.663361
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 HF/aug-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 3272 2973 17.02 78.65 0.31 0.47
2 A 3265 2966 32.42 70.86 0.66 0.80
3 A 3246 2949 27.88 111.24 0.17 0.29
4 A 3194 2902 31.34 36.10 0.41 0.58
5 A 3190 2898 18.35 45.71 0.24 0.39
6 A 3189 2897 29.72 213.83 0.10 0.18
7 A 2025 1840 578.56 13.63 0.35 0.52
8 A 1661 1509 1.26 3.67 0.65 0.79
9 A 1626 1477 6.67 4.29 0.75 0.86
10 A 1590 1444 8.79 5.00 0.75 0.86
11 A 1540 1399 35.23 0.67 0.30 0.47
12 A 1468 1334 6.45 0.21 0.65 0.79
13 A 1433 1302 19.91 0.85 0.71 0.83
14 A 1374 1248 21.61 4.47 0.71 0.83
15 A 1331 1209 36.83 3.03 0.73 0.84
16 A 1308 1189 13.10 0.28 0.45 0.62
17 A 1307 1187 211.53 0.69 0.73 0.84
18 A 1202 1092 21.63 0.91 0.72 0.84
19 A 1188 1080 93.63 1.73 0.74 0.85
20 A 1079 980 6.65 3.09 0.71 0.83
21 A 996 905 7.25 9.98 0.08 0.15
22 A 968 879 10.31 1.49 0.30 0.46
23 A 950 863 9.82 8.87 0.07 0.14
24 A 873 793 5.80 5.53 0.12 0.21
25 A 741 673 9.60 3.42 0.29 0.45
26 A 697 633 6.22 1.36 0.52 0.68
27 A 584 531 6.67 0.84 0.68 0.81
28 A 535 486 6.29 1.10 0.36 0.53
29 A 215 195 2.41 0.16 0.75 0.85
30 A 153 139 1.27 0.28 0.75 0.85

Unscaled Zero Point Vibrational Energy (zpe) 23099.8 cm-1
Scaled (by 0.9085) Zero Point Vibrational Energy (zpe) 20986.2 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 HF/aug-cc-pVQZ
ABC
0.24843 0.12252 0.08727

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.879 -0.009 0.002
C2 -0.019 1.200 0.163
C3 -1.395 0.661 -0.211
C4 -1.247 -0.822 0.124
O5 0.130 -1.107 -0.043
O6 2.050 -0.031 -0.071
H7 0.337 2.017 -0.442
H8 0.030 1.507 1.202
H9 -1.575 0.788 -1.270
H10 -2.209 1.125 0.326
H11 -1.804 -1.474 -0.529
H12 -1.523 -1.036 1.149

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51472.38062.27951.33011.17362.14402.11082.87703.30543.10302.8526
C21.51471.52462.36602.32122.41941.07781.08382.15562.19703.28892.8688
C32.38061.52461.52802.34153.51732.21202.17801.08211.07962.19752.1782
C42.27952.36601.52801.41613.39623.30022.86652.15502.18111.07781.0826
O51.33012.32122.34151.41612.20113.15662.89662.82943.25412.02782.0388
O61.17362.41943.51733.39622.20112.69632.83963.90554.43104.14093.9066
H72.14401.07782.21203.30023.15662.69631.74892.41922.80514.09663.9129
H82.11081.08382.17802.86652.89662.83961.74893.03432.43453.90462.9796
H92.87702.15561.08212.15502.82943.90552.41923.03431.75082.39163.0299
H103.30542.19701.07962.18113.25414.43102.80512.43451.75082.76612.4114
H113.10303.28892.19751.07782.02784.14094.09663.90462.39162.76611.7566
H122.85262.86882.17821.08262.03883.90663.91292.97963.02992.41141.7566

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 103.126 C1 C2 H7 110.446
C1 C2 H8 107.485 C1 O5 C4 112.170
C2 C1 O5 109.191 C2 C1 O6 127.851
C2 C3 C4 101.631 C2 C3 H9 110.427
C2 C3 H10 113.965 C3 C2 H7 115.348
C3 C2 H8 112.126 C3 C4 O5 105.311
C3 C4 H11 113.865 C3 C4 H12 111.977
C4 C3 H9 110.135 C4 C3 H10 112.397
O5 C1 O6 122.957 O5 C4 H11 108.031
O5 C4 H12 108.632 H7 C2 H8 108.003
H9 C3 H10 108.184 H11 C4 H12 108.796
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.066      
2 C -0.577      
3 C -0.606      
4 C -0.182      
5 O -0.742      
6 O -0.819      
7 H 0.331      
8 H 0.263      
9 H 0.278      
10 H 0.326      
11 H 0.414      
12 H 0.248      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.767 1.594 0.426 5.044
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.589 1.818 0.299
y 1.818 -35.320 -0.130
z 0.299 -0.130 -33.462
Traceless
 xyz
x -7.197 1.818 0.299
y 1.818 2.205 -0.130
z 0.299 -0.130 4.992
Polar
3z2-r29.984
x2-y2-6.269
xy1.818
xz0.299
yz-0.130


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.366 0.251 -0.052
y 0.251 7.007 0.009
z -0.052 0.009 5.903


<r2> (average value of r2) Å2
<r2> 137.578
(<r2>)1/2 11.729