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All results from a given calculation for C5H8 (Cyclobutane, methylene-)

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-195.247788
Energy at 298.15K-195.256252
Nuclear repulsion energy167.866276
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 mPW1PW91/6-31G*
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' 3183 3019 8.20      
2 A' 3171 3007 40.64      
3 A' 3136 2974 17.00      
4 A' 3112 2951 40.50      
5 A' 3083 2924 10.53      
6 A' 1791 1698 20.56      
7 A' 1532 1453 0.01      
8 A' 1503 1425 1.85      
9 A' 1465 1390 0.74      
10 A' 1285 1219 0.15      
11 A' 1241 1177 0.08      
12 A' 1110 1052 0.05      
13 A' 998 946 0.45      
14 A' 910 863 38.95      
15 A' 904 857 6.89      
16 A' 761 722 2.28      
17 A' 669 635 1.76      
18 A' 383 363 5.59      
19 A' 98 93 0.02      
20 A" 3265 3096 12.57      
21 A" 3139 2977 16.70      
22 A" 3079 2920 42.36      
23 A" 1491 1414 3.11      
24 A" 1310 1242 0.14      
25 A" 1264 1199 0.18      
26 A" 1239 1175 1.49      
27 A" 1213 1150 2.58      
28 A" 1060 1005 0.14      
29 A" 960 910 1.11      
30 A" 926 878 0.79      
31 A" 823 780 0.15      
32 A" 648 614 0.15      
33 A" 355 337 0.04      

Unscaled Zero Point Vibrational Energy (zpe) 25553.0 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 24231.9 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 mPW1PW91/6-31G*
ABC
0.34933 0.15433 0.11610

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.178 -0.422 1.088
C2 0.178 -0.422 -1.088
C3 0.000 0.620 0.000
C4 -0.016 -1.510 0.000
C5 -0.342 1.901 0.000
H6 -0.530 -0.403 1.922
H7 -0.530 -0.403 -1.922
H8 1.194 -0.425 1.500
H9 1.194 -0.425 -1.500
H10 -0.489 2.450 0.926
H11 -0.489 2.450 -0.926
H12 0.691 -2.342 0.000
H13 -1.033 -1.910 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13
C12.17601.51651.55082.61741.09383.09171.09622.77992.95263.57032.26602.2057
C22.17601.51651.55082.61743.09171.09382.77991.09623.57032.95262.26602.2057
C31.51651.51652.12921.32662.24002.24002.18312.18312.10872.10873.04122.7324
C41.55081.55082.12923.42652.27642.27642.21132.21134.09384.09381.09221.0925
C52.61742.61741.32663.42653.00603.00603.16543.16541.08621.08624.36743.8737
H61.09383.09172.24002.27643.00603.84311.77493.83103.02164.03062.99082.4937
H73.09171.09382.24002.27643.00603.84313.83101.77494.03063.02162.99082.4937
H81.09622.77992.18312.21133.16541.77493.83102.99933.38044.12082.48543.0679
H92.77991.09622.18312.21133.16543.83101.77492.99934.12083.38042.48543.0679
H102.95263.57032.10874.09381.08623.02164.03063.38044.12081.85165.02134.4905
H113.57032.95262.10874.09381.08624.03063.02164.12083.38041.85165.02134.4905
H122.26602.26603.04121.09224.36742.99082.99082.48542.48545.02135.02131.7767
H132.20572.20572.73241.09253.87372.49372.49373.06793.06794.49054.49051.7767

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 91.689 C1 C3 C5 133.926
C1 C4 C2 89.103 C1 C4 H12 116.977
C1 C4 H13 111.949 C2 C3 C5 133.926
C2 C4 H12 116.977 C2 C4 H13 111.949
C3 C1 C4 87.916 C3 C1 H6 117.302
C3 C1 H8 112.360 C3 C2 C4 87.916
C3 C2 H7 117.302 C3 C2 H9 112.360
C3 C5 H10 121.529 C3 C5 H11 121.529
C4 C1 H6 117.766 C4 C1 H8 112.173
C4 C2 H7 117.766 C4 C2 H9 112.173
H6 C1 H8 108.283 H7 C2 H9 108.283
H10 C5 H11 116.941 H12 C4 H13 108.827
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.380      
2 C -0.380      
3 C 0.194      
4 C -0.348      
5 C -0.486      
6 H 0.180      
7 H 0.180      
8 H 0.183      
9 H 0.183      
10 H 0.163      
11 H 0.163      
12 H 0.168      
13 H 0.179      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.089 -0.529 0.000 0.536
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.604 -0.583 0.000
y -0.583 -31.301 0.000
z 0.000 0.000 -30.045
Traceless
 xyz
x -0.931 -0.583 0.000
y -0.583 -0.476 0.000
z 0.000 0.000 1.407
Polar
3z2-r22.815
x2-y2-0.303
xy-0.583
xz0.000
yz0.000


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


<r2> (average value of r2) Å2
<r2> 115.298
(<r2>)1/2 10.738