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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: PBEPBE/TZVP

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/TZVP
 hartrees
Energy at 0K-157.036244
Energy at 298.15K-157.044731
HF Energy-157.036244
Nuclear repulsion energy123.804502
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/TZVP
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' 3152 3117 23.29      
2 A' 3071 3037 19.24      
3 A' 3064 3030 12.70      
4 A' 3027 2993 18.76      
5 A' 2958 2925 35.45      
6 A' 1463 1447 1.34      
7 A' 1452 1436 10.41      
8 A' 1377 1362 4.53      
9 A' 1350 1335 1.77      
10 A' 1206 1192 0.00      
11 A' 1177 1164 0.00      
12 A' 1011 999 7.72      
13 A' 980 969 13.42      
14 A' 916 906 2.95      
15 A' 781 772 6.05      
16 A' 754 745 2.09      
17 A' 356 352 0.23      
18 A" 3137 3102 0.30      
19 A" 3060 3026 25.98      
20 A" 3024 2990 27.48      
21 A" 1443 1427 2.42      
22 A" 1421 1405 3.97      
23 A" 1158 1145 0.92      
24 A" 1098 1086 0.04      
25 A" 1073 1061 4.90      
26 A" 1025 1013 2.13      
27 A" 854 845 7.69      
28 A" 796 787 5.32      
29 A" 337 333 0.85      
30 A" 222 219 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23370.2 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 23108.5 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/TZVP
ABC
0.51800 0.21037 0.18478

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.347 0.404 0.000
C2 -0.881 1.285 0.000
H3 1.297 0.946 0.000
C4 0.347 -0.902 0.757
C5 0.347 -0.902 -0.757
H6 1.257 -1.209 1.273
H7 1.257 -1.209 -1.273
H8 -0.575 -1.191 1.264
H9 -0.575 -1.191 -1.264
H10 -1.799 0.678 0.000
H11 -0.911 1.933 0.890
H12 -0.911 1.933 -0.890

Atom - Atom Distances (Å)
  C1 C2 H3 C4 C5 H6 H7 H8 H9 H10 H11 H12
C11.51091.09371.51001.51002.24772.24772.23492.23492.16352.17072.1707
C21.51092.20412.62012.62013.52313.52312.79702.79701.10131.10141.1014
H31.09372.20412.21182.21182.50312.50313.10993.10993.10802.57742.5774
C41.51002.62012.21181.51311.09072.24531.09172.24002.77043.10493.5120
C51.51002.62012.21181.51312.24531.09072.24001.09172.77043.51203.1049
H62.24773.52312.50311.09072.24532.54561.83303.12993.81093.83694.3879
H72.24773.52312.50312.24531.09072.54563.12991.83303.81094.38793.8369
H82.23492.79703.10991.09172.24001.83303.12992.52852.56673.16433.8098
H92.23492.79703.10992.24001.09173.12991.83302.52852.56673.80983.1643
H102.16351.10133.10802.77042.77043.81093.81092.56672.56671.77691.7769
H112.17071.10142.57743.10493.51203.83694.38793.16433.80981.77691.7804
H122.17071.10142.57743.51203.10494.38793.83693.80983.16431.77691.7804

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.861 C1 C2 H11 111.429
C1 C2 H12 111.429 C1 C4 H5 59.933
C1 C4 H6 118.710 C1 C4 H8 117.506
C1 H5 C4 59.933 C1 H5 H7 118.710
C1 H5 H9 117.506 C2 C1 C3 114.661
C2 C1 C4 120.297 C2 C1 H5 120.297
C3 C1 C4 115.377 C3 C1 H5 115.377
C4 C1 H5 60.133 C4 H5 H7 118.250
C4 H5 H9 117.716 H5 C4 H6 118.250
H5 C4 H8 117.716 H6 C4 H8 114.260
H7 H5 H9 114.260 H10 C2 H11 107.548
H10 C2 H12 107.548 H11 C2 H12 107.841
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.101      
2 C -0.352      
3 H 0.158      
4 C -0.310      
5 C -0.310      
6 H 0.145      
7 H 0.145      
8 H 0.137      
9 H 0.137      
10 H 0.106      
11 H 0.123      
12 H 0.123      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.031 0.143 0.000 0.146
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.602 0.191 0.000
y 0.191 -27.666 0.000
z 0.000 0.000 -27.441
Traceless
 xyz
x 1.951 0.191 0.000
y 0.191 -1.144 0.000
z 0.000 0.000 -0.807
Polar
3z2-r2-1.614
x2-y22.064
xy0.191
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.834 -0.522 0.000
y -0.522 7.623 0.000
z 0.000 0.000 7.050


<r2> (average value of r2) Å2
<r2> 84.169
(<r2>)1/2 9.174