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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/3-21G
 hartrees
Energy at 0K-156.122605
Energy at 298.15K-156.131102
HF Energy-156.122605
Nuclear repulsion energy122.979404
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 PBEPBEultrafine/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' 3188 3159 17.71      
2 A' 3108 3080 12.65      
3 A' 3093 3064 8.45      
4 A' 3039 3011 18.57      
5 A' 2970 2943 28.90      
6 A' 1519 1506 8.97      
7 A' 1482 1469 3.80      
8 A' 1416 1403 5.73      
9 A' 1363 1351 1.27      
10 A' 1207 1196 0.47      
11 A' 1178 1167 0.03      
12 A' 1028 1019 30.26      
13 A' 977 968 0.52      
14 A' 929 920 6.07      
15 A' 779 772 2.37      
16 A' 751 744 5.04      
17 A' 357 354 0.23      
18 A" 3170 3142 0.18      
19 A" 3087 3059 16.59      
20 A" 3035 3008 25.41      
21 A" 1512 1498 2.92      
22 A" 1464 1450 5.54      
23 A" 1171 1160 1.07      
24 A" 1126 1116 1.74      
25 A" 1096 1086 7.21      
26 A" 1051 1042 3.86      
27 A" 832 825 1.80      
28 A" 810 802 11.38      
29 A" 336 333 1.40      
30 A" 220 218 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 23646.3 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 23431.2 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 PBEPBEultrafine/3-21G
ABC
0.50411 0.20922 0.18370

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.357 0.424 0.000
C2 -0.906 1.268 0.000
H3 1.299 0.981 0.000
C4 0.357 -0.901 0.768
C5 0.357 -0.901 -0.768
H6 1.276 -1.203 1.276
H7 1.276 -1.203 -1.276
H8 -0.570 -1.182 1.273
H9 -0.570 -1.182 -1.273
H10 -1.801 0.619 0.000
H11 -0.953 1.914 0.896
H12 -0.953 1.914 -0.896

Atom - Atom Distances (Å)
  C1 C2 H3 C4 C5 H6 H7 H8 H9 H10 H11 H12
C11.51961.09461.53111.53112.26232.26232.24922.24922.16682.17762.1776
C21.51962.22372.62512.62513.53513.53512.78142.78141.10551.10561.1056
H31.09462.22372.24052.24052.53002.53003.12973.12973.12092.59722.5972
C41.53112.62512.24051.53591.09232.26091.09302.25952.74903.10803.5230
C51.53112.62512.24051.53592.26091.09232.25951.09302.74903.52303.1080
H62.26233.53512.53001.09232.26092.55131.84653.14733.79663.85144.4050
H72.26233.53512.53002.26091.09232.55133.14731.84653.79664.40503.8514
H82.24922.78143.12971.09302.25951.84653.14732.54612.52533.14243.7996
H92.24922.78143.12972.25951.09303.14731.84652.54612.52533.79963.1424
H102.16681.10553.12092.74902.74903.79663.79662.52532.52531.78861.7886
H112.17761.10562.59723.10803.52303.85144.40503.14243.79961.78861.7918
H122.17761.10562.59723.52303.10804.40503.85143.79963.14241.78861.7918

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.267 C1 C2 H11 111.115
C1 C2 H12 111.115 C1 C4 H5 59.896
C1 C4 H6 118.204 C1 C4 H8 117.005
C1 H5 C4 59.896 C1 H5 H7 118.204
C1 H5 H9 117.005 C2 C1 C3 115.597
C2 C1 C4 118.741 C2 C1 H5 118.741
C3 C1 C4 116.158 C3 C1 H5 116.158
C4 C1 H5 60.207 C4 H5 H7 117.696
C4 H5 H9 117.525 H5 C4 H6 117.696
H5 C4 H8 117.525 H6 C4 H8 115.336
H7 H5 H9 115.336 H10 C2 H11 107.982
H10 C2 H12 107.982 H11 C2 H12 108.260
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.266      
2 C -0.585      
3 H 0.208      
4 C -0.404      
5 C -0.404      
6 H 0.211      
7 H 0.211      
8 H 0.210      
9 H 0.210      
10 H 0.197      
11 H 0.205      
12 H 0.205      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.004 0.103 0.000 0.103
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.996 0.109 0.000
y 0.109 -27.088 0.000
z 0.000 0.000 -26.940
Traceless
 xyz
x 2.018 0.109 0.000
y 0.109 -1.120 0.000
z 0.000 0.000 -0.897
Polar
3z2-r2-1.795
x2-y22.092
xy0.109
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.615 -0.424 0.000
y -0.424 5.995 0.000
z 0.000 0.000 5.630


<r2> (average value of r2) Å2
<r2> 84.341
(<r2>)1/2 9.184