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

using model chemistry: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-193.956467
Energy at 298.15K-193.964692
Nuclear repulsion energy165.231893
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/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' 3102 3074 26.44      
2 A' 3077 3049 6.21      
3 A' 3057 3029 13.09      
4 A' 3037 3009 30.81      
5 A' 3006 2979 2.38      
6 A' 1708 1692 17.75      
7 A' 1491 1478 0.68      
8 A' 1465 1451 1.12      
9 A' 1445 1432 1.04      
10 A' 1227 1216 1.10      
11 A' 1208 1197 0.19      
12 A' 1054 1044 0.28      
13 A' 935 927 0.88      
14 A' 882 874 53.54      
15 A' 846 839 0.03      
16 A' 719 713 3.49      
17 A' 656 650 1.20      
18 A' 358 355 8.66      
19 A' 50 50 0.01      
20 A" 3157 3128 10.45      
21 A" 3061 3033 3.80      
22 A" 3002 2974 34.49      
23 A" 1454 1440 6.85      
24 A" 1245 1234 0.56      
25 A" 1225 1214 0.31      
26 A" 1211 1200 2.46      
27 A" 1159 1149 5.97      
28 A" 1052 1043 0.07      
29 A" 899 891 0.56      
30 A" 873 865 1.30      
31 A" 797 790 0.08      
32 A" 611 606 0.07      
33 A" 348 344 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24708.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 24483.5 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/3-21G
ABC
0.34199 0.14923 0.11123

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.140 -0.421 1.116
C2 0.140 -0.421 -1.116
C3 -0.064 0.629 0.000
C4 0.140 -1.547 0.000
C5 -0.374 1.927 0.000
H6 -0.666 -0.485 1.864
H7 -0.666 -0.485 -1.864
H8 1.116 -0.321 1.622
H9 1.116 -0.321 -1.622
H10 -0.509 2.483 0.934
H11 -0.509 2.483 -0.934
H12 1.017 -2.211 0.000
H13 -0.788 -2.138 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 H6 H7 H8 H9 H10 H11 H12 H13
C12.23141.54581.58522.65031.10223.08791.10412.90852.98183.61352.28422.2483
C22.23141.54581.58522.65033.08791.10222.90851.10413.61352.98182.28422.2483
C31.54581.54582.18581.33472.25372.25372.21962.21962.12332.12333.03902.8604
C41.58521.58522.18583.51232.29242.29242.25592.25594.18804.18801.09971.1004
C52.65032.65031.33473.51233.06253.06253.14733.14731.09501.09504.36604.0864
H61.10223.08792.25372.29243.06253.72901.80593.91933.11484.08223.04782.4951
H73.08791.10222.25372.29243.06253.72903.91931.80594.08223.11483.04782.4951
H81.10412.90852.21962.25593.14731.80593.91933.24493.31314.12732.49343.0922
H92.90851.10412.21962.25593.14733.91931.80593.24494.12733.31312.49343.0922
H102.98183.61352.12334.18801.09503.11484.08223.31314.12731.86715.02394.7234
H113.61352.98182.12334.18801.09504.08223.11484.12733.31311.86715.02394.7234
H122.28422.28423.03901.09974.36603.04783.04782.49342.49345.02395.02391.8063
H132.24832.24832.86041.10044.08642.49512.49513.09223.09224.72344.72341.8063

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 92.401 C1 C3 C5 133.750
C1 C4 C2 89.469 C1 C4 H12 115.402
C1 C4 H13 112.427 C2 C3 C5 133.750
C2 C4 H12 115.402 C2 C4 H13 112.427
C3 C1 C4 88.547 C3 C1 H6 115.649
C3 C1 H8 112.716 C3 C2 C4 88.547
C3 C2 H7 115.649 C3 C2 H9 112.716
C3 C5 H10 121.512 C3 C5 H11 121.512
C4 C1 H6 115.928 C4 C1 H8 112.813
C4 C2 H7 115.928 C4 C2 H9 112.813
H6 C1 H8 109.872 H7 C2 H9 109.872
H10 C5 H11 116.976 H12 C4 H13 110.370
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.402      
2 C -0.402      
3 C 0.038      
4 C -0.428      
5 C -0.482      
6 H 0.215      
7 H 0.215      
8 H 0.223      
9 H 0.223      
10 H 0.191      
11 H 0.191      
12 H 0.203      
13 H 0.214      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.090 -0.449 0.000 0.458
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -32.255 -0.504 0.000
y -0.504 -31.314 0.000
z 0.000 0.000 -30.203
Traceless
 xyz
x -1.496 -0.504 0.000
y -0.504 -0.085 0.000
z 0.000 0.000 1.581
Polar
3z2-r23.162
x2-y2-0.941
xy-0.504
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.172 -0.961 0.000
y -0.961 9.175 0.000
z 0.000 0.000 7.092


<r2> (average value of r2) Å2
<r2> 118.812
(<r2>)1/2 10.900