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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-194.184137
Energy at 298.15K-194.192525
Nuclear repulsion energy166.526237
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 mPW1PW91/3-21G*
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' 3196 3035 24.82      
2 A' 3173 3013 5.42      
3 A' 3155 2996 10.65      
4 A' 3130 2972 29.34      
5 A' 3103 2946 2.12      
6 A' 1782 1692 18.22      
7 A' 1542 1464 0.95      
8 A' 1513 1437 1.63      
9 A' 1495 1419 1.42      
10 A' 1281 1216 1.61      
11 A' 1257 1193 0.15      
12 A' 1101 1045 0.50      
13 A' 965 916 1.35      
14 A' 946 898 58.38      
15 A' 877 833 0.01      
16 A' 745 707 3.61      
17 A' 679 645 1.44      
18 A' 378 359 9.83      
19 A' 51 49 0.01      
20 A" 3254 3090 8.98      
21 A" 3159 3000 3.35      
22 A" 3098 2942 31.56      
23 A" 1504 1428 8.39      
24 A" 1301 1235 1.04      
25 A" 1274 1210 0.41      
26 A" 1261 1197 1.83      
27 A" 1211 1150 6.78      
28 A" 1095 1039 0.06      
29 A" 932 885 0.74      
30 A" 907 861 1.41      
31 A" 829 788 0.09      
32 A" 638 606 0.08      
33 A" 361 343 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 25594.2 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 24304.3 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 mPW1PW91/3-21G*
ABC
0.34727 0.15156 0.11294

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.103 -0.430 1.107
C2 0.103 -0.430 -1.107
C3 0.000 0.628 0.000
C4 -0.024 -1.541 0.000
C5 -0.184 1.938 0.000
H6 -0.691 -0.409 1.858
H7 -0.691 -0.409 -1.858
H8 1.081 -0.430 1.597
H9 1.081 -0.430 -1.597
H10 -0.263 2.500 0.925
H11 -0.263 2.500 -0.925
H12 0.763 -2.296 0.000
H13 -1.005 -2.017 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13
C12.21451.53481.57362.62961.09233.06951.09432.87622.95773.58432.26812.2296
C22.21451.53481.57362.62963.06951.09232.87621.09433.58432.95772.26812.2296
C31.53481.53482.16901.32282.23722.23722.20022.20022.10442.10443.02192.8292
C41.57361.57362.16903.48262.27532.27532.23722.23724.15204.15201.09001.0910
C52.62962.62961.32283.48263.03643.03643.12433.12431.08541.08544.33854.0391
H61.09233.06952.23722.27533.03643.71581.79073.88313.08454.04873.02032.4766
H73.06951.09232.23722.27533.03643.71583.88311.79074.04873.08453.02032.4766
H81.09432.87622.20022.23723.12431.79073.88313.19503.29304.09362.47673.0693
H92.87621.09432.20022.23723.12433.88311.79073.19504.09363.29302.47673.0693
H102.95773.58432.10444.15201.08543.08454.04873.29304.09361.85094.99074.6692
H113.58432.95772.10444.15201.08544.04873.08454.09363.29301.85094.99074.6692
H122.26812.26813.02191.09004.33853.02033.02032.47672.47674.99074.99071.7899
H132.22962.22962.82921.09104.03912.47662.47663.06933.06934.66924.66921.7899

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 92.346 C1 C3 C5 133.777
C1 C4 C2 89.436 C1 C4 H12 115.553
C1 C4 H13 112.331 C2 C3 C5 133.777
C2 C4 H12 115.553 C2 C4 H13 112.331
C3 C1 C4 88.491 C3 C1 H6 115.749
C3 C1 H8 112.542 C3 C2 C4 88.491
C3 C2 H7 115.749 C3 C2 H9 112.542
C3 C5 H10 121.500 C3 C5 H11 121.500
C4 C1 H6 116.009 C4 C1 H8 112.735
C4 C2 H7 116.009 C4 C2 H9 112.735
H6 C1 H8 109.959 H7 C2 H9 109.959
H10 C5 H11 116.999 H12 C4 H13 110.301
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.425      
2 C -0.425      
3 C 0.016      
4 C -0.457      
5 C -0.507      
6 H 0.230      
7 H 0.230      
8 H 0.238      
9 H 0.238      
10 H 0.207      
11 H 0.207      
12 H 0.218      
13 H 0.229      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.089 -0.439 0.000 0.448
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.193 -0.520 0.000
y -0.520 -31.159 0.000
z 0.000 0.000 -30.094
Traceless
 xyz
x -1.566 -0.520 0.000
y -0.520 -0.016 0.000
z 0.000 0.000 1.583
Polar
3z2-r23.165
x2-y2-1.033
xy-0.520
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.041 -0.928 0.000
y -0.928 8.970 0.000
z 0.000 0.000 6.867


<r2> (average value of r2) Å2
<r2> 117.149
(<r2>)1/2 10.824