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

using model chemistry: PBEPBE/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 PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-306.152327
Energy at 298.15K 
HF Energy-306.152327
Nuclear repulsion energy238.932090
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 PBEPBE/cc-pVDZ
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 3074 3056 6.12      
2 A 3059 3041 18.70      
3 A 3045 3027 21.48      
4 A 2997 2980 19.81      
5 A 2986 2969 6.19      
6 A 2958 2940 45.55      
7 A 1830 1819 338.24      
8 A 1444 1436 0.49      
9 A 1418 1410 6.71      
10 A 1382 1374 8.14      
11 A 1333 1325 18.34      
12 A 1289 1282 3.13      
13 A 1245 1238 11.43      
14 A 1205 1198 4.23      
15 A 1169 1162 16.74      
16 A 1142 1136 3.62      
17 A 1119 1112 164.25      
18 A 1047 1040 19.42      
19 A 1031 1025 52.83      
20 A 981 975 25.56      
21 A 923 918 3.23      
22 A 864 859 8.61      
23 A 846 841 18.20      
24 A 784 780 3.52      
25 A 661 657 3.02      
26 A 615 612 3.67      
27 A 511 508 1.67      
28 A 472 469 2.47      
29 A 213 212 1.71      
30 A 153 152 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 20897.1 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 20775.9 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 PBEPBE/cc-pVDZ
ABC
0.23975 0.11786 0.08429

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.004 0.005
C2 -0.034 1.210 0.178
C3 -1.405 0.668 -0.234
C4 -1.272 -0.818 0.134
O5 0.126 -1.145 -0.045
O6 2.098 -0.027 -0.076
H7 0.339 2.067 -0.410
H8 -0.005 1.503 1.251
H9 -1.547 0.777 -1.329
H10 -2.260 1.154 0.273
H11 -1.862 -1.498 -0.509
H12 -1.546 -1.009 1.196

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52962.40202.31761.38151.21002.17562.14502.88423.36543.17812.8954
C21.52961.53032.37582.37062.47811.10501.11182.17862.22873.33842.8707
C32.40201.53031.53702.38073.57482.24272.20431.10921.10662.23122.2084
C42.31762.37581.53701.44673.46783.34902.86982.18162.21041.10681.1129
O51.38152.37062.38071.44672.26713.24012.95052.85323.32902.07182.0863
O61.21002.47813.57483.46782.26712.75542.91963.93714.52914.24653.9823
H72.17561.10502.24273.34903.24012.75541.78712.46302.83844.19133.9488
H82.14501.11182.20432.86982.95052.91961.78713.09122.48253.94332.9468
H92.88422.17861.10922.18162.85323.93712.46303.09121.79342.43863.0923
H103.36542.22871.10662.21043.32904.52912.83842.48251.79342.79382.4579
H113.17813.33842.23121.10682.07184.24654.19133.94332.43862.79381.8020
H122.89542.87072.20841.11292.08633.98233.94882.94683.09232.45791.8020

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 103.446 C1 C2 H7 110.298
C1 C2 H8 107.546 C1 O5 C4 110.036
C2 C1 O5 108.941 C2 C1 O6 129.156
C2 C3 C4 101.534 C2 C3 H9 110.237
C2 C3 H10 114.432 C3 C2 H7 115.704
C3 C2 H8 112.117 C3 C4 O5 105.821
C3 C4 H11 114.132 C3 C4 H12 111.901
C4 C3 H9 110.013 C4 C3 H10 112.449
O5 C1 O6 121.902 O5 C4 H11 107.714
O5 C4 H12 108.487 H7 C2 H8 107.446
H9 C3 H10 108.061 H11 C4 H12 108.547
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.138      
2 C -0.068      
3 C -0.067      
4 C 0.112      
5 O -0.207      
6 O -0.190      
7 H 0.054      
8 H 0.065      
9 H 0.046      
10 H 0.032      
11 H 0.043      
12 H 0.041      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.858 1.335 0.368 4.099
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.569 1.657 0.260
y 1.657 -35.056 -0.038
z 0.260 -0.038 -33.531
Traceless
 xyz
x -5.276 1.657 0.260
y 1.657 1.494 -0.038
z 0.260 -0.038 3.782
Polar
3z2-r27.564
x2-y2-4.513
xy1.657
xz0.260
yz-0.038


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.457 0.492 -0.104
y 0.492 6.866 0.015
z -0.104 0.015 5.645


<r2> (average value of r2) Å2
<r2> 141.301
(<r2>)1/2 11.887