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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: PBEPBE/cc-pVTZ

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-pVTZ
 hartrees
Energy at 0K-157.039570
Energy at 298.15K-157.048052
HF Energy-157.039570
Nuclear repulsion energy123.901386
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-pVTZ
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' 3148 3127 24.20      
2 A' 3069 3048 18.51      
3 A' 3062 3041 13.57      
4 A' 3021 3000 19.61      
5 A' 2955 2935 35.43      
6 A' 1460 1450 1.13      
7 A' 1447 1437 9.10      
8 A' 1374 1364 4.02      
9 A' 1348 1338 2.12      
10 A' 1205 1197 0.01      
11 A' 1175 1167 0.01      
12 A' 1012 1005 5.11      
13 A' 979 972 12.11      
14 A' 913 907 2.53      
15 A' 779 774 5.79      
16 A' 751 746 1.16      
17 A' 352 350 0.19      
18 A" 3133 3112 0.28      
19 A" 3058 3037 26.24      
20 A" 3017 2997 27.51      
21 A" 1440 1430 2.23      
22 A" 1417 1408 2.92      
23 A" 1157 1149 0.65      
24 A" 1098 1091 0.04      
25 A" 1073 1065 4.42      
26 A" 1026 1019 1.35      
27 A" 856 850 6.91      
28 A" 792 787 4.71      
29 A" 335 333 0.69      
30 A" 221 219 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23336.6 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 23175.6 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-pVTZ
ABC
0.51890 0.21066 0.18504

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.347 0.404 0.000
C2 -0.880 1.284 0.000
H3 1.296 0.945 0.000
C4 0.347 -0.902 0.756
C5 0.347 -0.902 -0.756
H6 1.256 -1.208 1.271
H7 1.256 -1.208 -1.271
H8 -0.575 -1.190 1.263
H9 -0.575 -1.190 -1.263
H10 -1.797 0.676 0.000
H11 -0.912 1.932 0.889
H12 -0.912 1.932 -0.889

Atom - Atom Distances (Å)
  C1 C2 H3 C4 C5 H6 H7 H8 H9 H10 H11 H12
C11.50991.09231.50911.50912.24582.24582.23272.23272.16152.16982.1698
C21.50992.20252.61832.61833.52053.52052.79442.79441.10041.10051.1005
H31.09232.20252.20972.20972.50082.50083.10663.10663.10512.57652.5765
C41.50912.61832.20971.51191.08942.24301.09042.23802.76773.10363.5100
C51.50912.61832.20971.51192.24301.08942.23801.09042.76773.51003.1036
H62.24583.52052.50081.08942.24302.54251.83123.12673.80713.83514.3851
H72.24583.52052.50082.24301.08942.54253.12671.83123.80714.38513.8351
H82.23272.79443.10661.09042.23801.83123.12672.52622.56373.16203.8066
H92.23272.79443.10662.23801.09043.12671.83122.52622.56373.80663.1620
H102.16151.10043.10512.76772.76773.80713.80712.56372.56371.77541.7754
H112.16981.10052.57653.10363.51003.83514.38513.16203.80661.77541.7781
H122.16981.10052.57653.51003.10364.38513.83513.80663.16201.77541.7781

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.825 C1 C2 H11 111.484
C1 C2 H12 111.484 C1 C4 H5 59.937
C1 C4 H6 118.711 C1 C4 H8 117.479
C1 H5 C4 59.937 C1 H5 H7 118.711
C1 H5 H9 117.479 C2 C1 C3 114.686
C2 C1 C4 120.289 C2 C1 H5 120.289
C3 C1 C4 115.366 C3 C1 H5 115.366
C4 C1 H5 60.126 C4 H5 H7 118.228
C4 H5 H9 117.715 H5 C4 H6 118.228
H5 C4 H8 117.715 H6 C4 H8 114.289
H7 H5 H9 114.289 H10 C2 H11 107.542
H10 C2 H12 107.542 H11 C2 H12 107.773
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.042      
2 C -0.283      
3 H 0.090      
4 C -0.202      
5 C -0.202      
6 H 0.094      
7 H 0.094      
8 H 0.088      
9 H 0.088      
10 H 0.085      
11 H 0.095      
12 H 0.095      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.042 0.122 0.000 0.129
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.642 0.209 0.000
y 0.209 -27.594 0.000
z 0.000 0.000 -27.351
Traceless
 xyz
x 1.831 0.209 0.000
y 0.209 -1.098 0.000
z 0.000 0.000 -0.734
Polar
3z2-r2-1.467
x2-y21.952
xy0.209
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.851 -0.561 0.000
y -0.561 7.601 0.000
z 0.000 0.000 6.978


<r2> (average value of r2) Å2
<r2> 84.044
(<r2>)1/2 9.168