return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C5H8 (Bicyclo[1.1.1]pentane)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-194.992805
Energy at 298.15K 
HF Energy-194.992805
Nuclear repulsion energy178.606405
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 PBEPBEultrafine/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1' 3040 2990 0.00      
2 A1' 2989 2940 0.00      
3 A1' 1528 1503 0.00      
4 A1' 1116 1097 0.00      
5 A1' 882 868 0.00      
6 A1" 974 958 0.00      
7 A2' 3048 2998 0.00      
8 A2' 951 935 0.00      
9 A2" 3034 2984 144.70      
10 A2" 1224 1204 32.71      
11 A2" 847 833 3.79      
12 E' 3053 3002 68.46      
12 E' 3053 3002 68.45      
13 E' 2986 2937 78.50      
13 E' 2986 2937 78.50      
14 E' 1476 1451 0.03      
14 E' 1476 1451 0.03      
15 E' 1235 1214 1.72      
15 E' 1235 1214 1.72      
16 E' 1094 1076 0.23      
16 E' 1094 1076 0.23      
17 E' 898 883 0.30      
17 E' 898 883 0.30      
18 E' 529 520 0.24      
18 E' 529 520 0.25      
19 E" 1175 1156 0.00      
19 E" 1175 1156 0.00      
20 E" 1117 1099 0.00      
20 E" 1117 1099 0.00      
21 E" 996 980 0.00      
21 E" 996 980 0.00      
22 E" 783 770 0.00      
22 E" 783 770 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25157.9 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 24742.8 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 PBEPBEultrafine/6-31G*
ABC
0.23916 0.23916 0.20663

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.941
C2 0.000 1.242 0.000
C3 1.076 -0.621 0.000
C4 -1.076 -0.621 0.000
C5 0.000 0.000 -0.941
H6 0.000 0.000 2.044
H7 0.000 0.000 -2.044
H8 0.913 1.863 0.000
H9 -0.913 1.863 0.000
H10 1.157 -1.722 0.000
H11 2.070 -0.141 0.000
H12 -2.070 -0.141 0.000
H13 -1.157 -1.722 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13
C11.55861.55861.55861.88281.10292.98572.27872.27872.27872.27872.27872.2787
C21.55862.15142.15141.55862.39212.39211.10441.10443.18252.48992.48993.1825
C31.55862.15142.15141.55862.39212.39212.48993.18251.10441.10443.18252.4899
C41.55862.15142.15141.55862.39212.39213.18252.48992.48993.18251.10441.1044
C51.88281.55861.55861.55862.98571.10292.27872.27872.27872.27872.27872.2787
H61.10292.39212.39212.39212.98574.08862.91302.91302.91302.91302.91302.9130
H72.98572.39212.39212.39211.10294.08862.91302.91302.91302.91302.91302.9130
H82.27871.10442.48993.18252.27872.91302.91301.82623.59432.31463.59434.1407
H92.27871.10443.18252.48992.27872.91302.91301.82624.14073.59432.31463.5943
H102.27873.18251.10442.48992.27872.91302.91303.59434.14071.82623.59432.3146
H112.27872.48991.10443.18252.27872.91302.91302.31463.59431.82624.14073.5943
H122.27872.48993.18251.10442.27872.91302.91303.59432.31463.59434.14071.8262
H132.27873.18252.48991.10442.27872.91302.91304.14073.59432.31463.59431.8262

picture of Bicyclo[1.1.1]pentane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 74.318 C1 C2 H8 116.639
C1 C2 H9 116.639 C1 C3 C5 74.318
C1 C3 H10 116.639 C1 C3 H11 116.639
C1 C4 C5 74.318 C1 C4 H12 116.639
C1 C4 H13 116.639 C2 C1 C3 87.290
C2 C1 C4 87.290 C2 C1 H6 127.159
C2 C5 C3 87.290 C2 C5 C4 87.290
C2 C5 H7 127.159 C3 C1 C4 87.290
C3 C1 H6 127.159 C3 C5 C4 87.290
C3 C5 H7 127.159 C4 C1 H6 127.159
C4 C5 H7 127.159 C5 C2 H8 116.639
C5 C2 H9 116.639 C5 C3 H10 116.639
C5 C3 H11 116.639 C5 C4 H12 116.639
C5 C4 H13 116.639 H8 C2 H9 111.530
H10 C3 H11 111.530 H12 C4 H13 111.530
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.096      
2 C -0.297      
3 C -0.297      
4 C -0.297      
5 C -0.096      
6 H 0.119      
7 H 0.119      
8 H 0.141      
9 H 0.141      
10 H 0.141      
11 H 0.141      
12 H 0.141      
13 H 0.141      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.481 0.000 0.000
y 0.000 -31.481 0.000
z 0.000 0.000 -31.792
Traceless
 xyz
x 0.155 0.000 0.000
y 0.000 0.155 0.000
z 0.000 0.000 -0.311
Polar
3z2-r2-0.621
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.675 0.000 0.000
y 0.000 7.675 0.000
z 0.000 0.000 6.764


<r2> (average value of r2) Å2
<r2> 92.330
(<r2>)1/2 9.609