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 (Cyclobutane, methylene-)

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 CS 1A'
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-195.028991
Energy at 298.15K-195.037315
Nuclear repulsion energy166.504305
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
(Å4/u)
Dep P Dep U
1 A' 3069 3051 5.59      
2 A' 3064 3046 35.56      
3 A' 3026 3009 14.64      
4 A' 3002 2984 41.39      
5 A' 2971 2954 10.68      
6 A' 1713 1703 24.63      
7 A' 1421 1412 0.01      
8 A' 1391 1383 1.78      
9 A' 1370 1362 1.28      
10 A' 1204 1197 0.23      
11 A' 1171 1165 0.11      
12 A' 1044 1038 0.39      
13 A' 963 958 0.45      
14 A' 869 864 0.60      
15 A' 853 848 32.27      
16 A' 729 725 2.68      
17 A' 647 643 1.73      
18 A' 373 370 5.71      
19 A' 108 107 0.04      
20 A" 3163 3145 10.57      
21 A" 3030 3013 15.71      
22 A" 2967 2950 41.55      
23 A" 1376 1368 4.25      
24 A" 1238 1230 0.82      
25 A" 1190 1183 0.10      
26 A" 1166 1160 0.80      
27 A" 1144 1137 1.25      
28 A" 998 992 0.12      
29 A" 919 914 0.69      
30 A" 883 878 0.87      
31 A" 778 774 0.09      
32 A" 613 609 0.09      
33 A" 347 345 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 24399.4 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 24257.8 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 PBEPBE/cc-pVDZ
ABC
0.34322 0.15209 0.11462

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.262 -0.382 1.094
C2 0.262 -0.382 -1.094
C3 -0.111 0.613 0.000
C4 0.262 -1.496 0.000
C5 -0.708 1.813 0.000
H6 -0.435 -0.487 1.949
H7 -0.435 -0.487 -1.949
H8 1.281 -0.196 1.497
H9 1.281 -0.196 -1.497
H10 -0.963 2.324 0.941
H11 -0.963 2.324 -0.941
H12 1.114 -2.203 0.000
H13 -0.683 -2.072 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13
C12.18771.52471.56122.63691.10873.12391.11132.79042.97403.60032.28882.2244
C22.18771.52471.56122.63693.12391.10872.79041.11133.60032.97402.28882.2244
C31.52471.52472.14121.34022.26162.26162.19882.19882.13052.13053.07062.7450
C41.56121.56122.14123.44772.30282.30282.22902.22904.12024.12021.10691.1073
C52.63692.63691.34023.44773.02733.02733.19893.19891.10091.10094.40963.8850
H61.10873.12392.26162.30283.02733.89871.79823.86123.03294.06653.02362.5246
H73.12391.10872.26162.30283.02733.89873.86121.79824.06653.03293.02362.5246
H81.11132.79042.19882.22903.19891.79823.86122.99473.41974.16302.50963.1015
H92.79041.11132.19882.22903.19893.86121.79822.99474.16303.41972.50963.1015
H102.97403.60032.13054.12021.10093.03294.06653.41974.16301.88215.06864.5044
H113.60032.97402.13054.12021.10094.06653.03294.16303.41971.88215.06864.5044
H122.28882.28883.07061.10694.40963.02363.02362.50962.50965.06865.06861.8015
H132.22442.22442.74501.10733.88502.52462.52463.10153.10154.50444.50441.8015

picture of Cyclobutane, methylene- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 91.678 C1 C3 C5 133.873
C1 C4 C2 88.956 C1 C4 H12 117.128
C1 C4 H13 111.809 C2 C3 C5 133.873
C2 C4 H12 117.128 C2 C4 H13 111.809
C3 C1 C4 87.862 C3 C1 H6 117.487
C3 C1 H8 112.099 C3 C2 C4 87.862
C3 C2 H7 117.487 C3 C2 H9 112.099
C3 C5 H10 121.259 C3 C5 H11 121.259
C4 C1 H6 118.208 C4 C1 H8 111.939
C4 C2 H7 118.208 C4 C2 H9 111.939
H6 C1 H8 108.192 H7 C2 H9 108.192
H10 C5 H11 117.482 H12 C4 H13 108.902
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 0.019      
2 C 0.019      
3 C -0.162      
4 C -0.043      
5 C -0.035      
6 H 0.029      
7 H 0.029      
8 H 0.037      
9 H 0.037      
10 H 0.013      
11 H 0.013      
12 H 0.013      
13 H 0.031      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.213 -0.522 0.000 0.563
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.945 -0.505 0.000
y -0.505 -32.372 0.000
z 0.000 0.000 -30.808
Traceless
 xyz
x -0.355 -0.505 0.000
y -0.505 -0.995 0.000
z 0.000 0.000 1.350
Polar
3z2-r22.700
x2-y20.427
xy-0.505
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.692 -1.779 0.000
y -1.779 9.821 0.000
z 0.000 0.000 8.027


<r2> (average value of r2) Å2
<r2> 117.196
(<r2>)1/2 10.826