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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: PBEPBE/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-156.995283
Energy at 298.15K-157.003748
HF Energy-156.995283
Nuclear repulsion energy123.607760
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/6-31G(2df,p)
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' 3164 3131 21.70      
2 A' 3080 3048 18.63      
3 A' 3072 3041 13.94      
4 A' 3039 3008 15.96      
5 A' 2964 2934 33.06      
6 A' 1461 1446 1.16      
7 A' 1449 1434 6.86      
8 A' 1376 1361 2.65      
9 A' 1345 1331 3.24      
10 A' 1208 1196 0.15      
11 A' 1178 1165 0.04      
12 A' 1021 1011 3.03      
13 A' 983 973 9.39      
14 A' 913 903 2.66      
15 A' 783 775 4.84      
16 A' 749 741 0.43      
17 A' 350 346 0.22      
18 A" 3149 3116 0.24      
19 A" 3068 3037 23.43      
20 A" 3036 3005 24.65      
21 A" 1443 1428 1.56      
22 A" 1417 1402 1.58      
23 A" 1157 1145 0.37      
24 A" 1100 1088 0.09      
25 A" 1074 1063 4.12      
26 A" 1026 1015 1.09      
27 A" 864 855 5.54      
28 A" 787 778 3.79      
29 A" 332 329 0.60      
30 A" 224 222 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23404.4 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 23163.3 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 PBEPBE/6-31G(2df,p)
ABC
0.51660 0.20963 0.18416

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.348 0.405 0.000
C2 -0.882 1.288 0.000
H3 1.298 0.949 0.000
C4 0.348 -0.904 0.757
C5 0.348 -0.904 -0.757
H6 1.258 -1.211 1.276
H7 1.258 -1.211 -1.276
H8 -0.575 -1.195 1.266
H9 -0.575 -1.195 -1.266
H10 -1.802 0.679 0.000
H11 -0.914 1.937 0.891
H12 -0.914 1.937 -0.891

Atom - Atom Distances (Å)
  C1 C2 H3 C4 C5 H6 H7 H8 H9 H10 H11 H12
C11.51291.09511.51271.51272.25172.25172.23932.23932.16652.17572.1757
C21.51292.20622.62442.62443.52843.52842.80312.80311.10341.10351.1035
H31.09512.20622.21592.21592.50852.50853.11573.11573.11182.58222.5822
C41.51272.62442.21591.51451.09222.24911.09322.24282.77453.11203.5191
C51.51272.62442.21591.51452.24911.09222.24281.09322.77453.51913.1120
H62.25173.52842.50851.09222.24912.55241.83403.13473.81613.84444.3964
H72.25173.52842.50852.24911.09222.55243.13471.83403.81614.39643.8444
H82.23932.80313.11571.09322.24281.83403.13472.53212.57203.17253.8181
H92.23932.80313.11572.24281.09323.13471.83402.53212.57203.81813.1725
H102.16651.10343.11182.77452.77453.81613.81612.57202.57201.77941.7794
H112.17571.10352.58223.11203.51913.84444.39643.17253.81811.77941.7824
H122.17571.10352.58223.51913.11204.39643.84443.81813.17251.77941.7824

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.835 C1 C2 H11 111.559
C1 C2 H12 111.559 C1 C4 H5 59.960
C1 C4 H6 118.736 C1 C4 H8 117.579
C1 H5 C4 59.960 C1 H5 H7 118.736
C1 H5 H9 117.579 C2 C1 C3 114.595
C2 C1 C4 120.316 C2 C1 H5 120.316
C3 C1 C4 115.429 C3 C1 H5 115.429
C4 C1 H5 60.080 C4 H5 H7 118.367
C4 H5 H9 117.736 H5 C4 H6 118.367
H5 C4 H8 117.736 H6 C4 H8 114.107
H7 H5 H9 114.107 H10 C2 H11 107.478
H10 C2 H12 107.478 H11 C2 H12 107.730
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.030      
2 C -0.429      
3 H 0.091      
4 C -0.271      
5 C -0.271      
6 H 0.119      
7 H 0.119      
8 H 0.118      
9 H 0.118      
10 H 0.123      
11 H 0.126      
12 H 0.126      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.033 0.108 0.000 0.113
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.042 0.197 0.000
y 0.197 -26.911 0.000
z 0.000 0.000 -26.656
Traceless
 xyz
x 1.741 0.197 0.000
y 0.197 -1.061 0.000
z 0.000 0.000 -0.680
Polar
3z2-r2-1.360
x2-y21.868
xy0.197
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.191 -0.492 0.000
y -0.492 6.734 0.000
z 0.000 0.000 6.204


<r2> (average value of r2) Å2
<r2> 83.965
(<r2>)1/2 9.163