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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: PBEPBE/aug-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/aug-cc-pVTZ
 hartrees
Energy at 0K-157.040865
Energy at 298.15K-157.049338
HF Energy-157.040865
Nuclear repulsion energy123.896650
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/aug-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' 3146 3125 23.30      
2 A' 3066 3046 15.86      
3 A' 3060 3040 13.87      
4 A' 3019 2999 18.87      
5 A' 2953 2934 36.81      
6 A' 1458 1449 1.26      
7 A' 1445 1436 9.46      
8 A' 1372 1363 3.97      
9 A' 1345 1337 2.08      
10 A' 1203 1195 0.01      
11 A' 1173 1166 0.01      
12 A' 1007 1001 4.25      
13 A' 977 970 12.82      
14 A' 912 906 2.33      
15 A' 777 772 5.97      
16 A' 749 744 1.25      
17 A' 352 349 0.19      
18 A" 3131 3110 0.28      
19 A" 3056 3036 25.14      
20 A" 3015 2996 26.71      
21 A" 1437 1428 2.37      
22 A" 1415 1406 3.23      
23 A" 1155 1147 0.69      
24 A" 1096 1089 0.04      
25 A" 1071 1064 3.94      
26 A" 1022 1016 1.36      
27 A" 854 848 7.09      
28 A" 789 784 4.60      
29 A" 335 333 0.64      
30 A" 219 218 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23303.0 cm-1
Scaled (by 0.9935) Zero Point Vibrational Energy (zpe) 23151.6 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/aug-cc-pVTZ
ABC
0.51871 0.21069 0.18505

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/aug-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 1.257 -1.208 1.271
H7 1.257 -1.208 -1.271
H8 -0.575 -1.189 1.263
H9 -0.575 -1.189 -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
C11.50981.09241.50931.50932.24612.24612.23272.23272.16122.16952.1695
C21.50982.20292.61822.61823.52053.52052.79392.79391.10041.10051.1005
H31.09242.20292.20962.20962.50062.50063.10653.10653.10532.57682.5768
C41.50932.61822.20961.51241.08952.24331.09052.23832.76733.10313.5098
C51.50932.61822.20961.51242.24331.08952.23831.09052.76733.50983.1031
H62.24613.52052.50061.08952.24332.54271.83153.12703.80693.83484.3850
H72.24613.52052.50062.24331.08952.54273.12701.83153.80694.38503.8348
H82.23272.79393.10651.09052.23831.83153.12702.52642.56293.16123.8061
H92.23272.79393.10652.23831.09053.12701.83152.52642.56293.80613.1612
H102.16121.10043.10532.76732.76733.80693.80692.56292.56291.77551.7755
H112.16951.10052.57683.10313.50983.83484.38503.16123.80611.77551.7783
H122.16951.10052.57683.50983.10314.38503.83483.80613.16121.77551.7783

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.817 C1 C2 H11 111.468
C1 C2 H12 111.468 C1 C4 H5 59.931
C1 C4 H6 118.715 C1 C4 H8 117.460
C1 H5 C4 59.931 C1 H5 H7 118.715
C1 H5 H9 117.460 C2 C1 C3 114.734
C2 C1 C4 120.276 C2 C1 H5 120.276
C3 C1 C4 115.335 C3 C1 H5 115.335
C4 C1 H5 60.139 C4 H5 H7 118.219
C4 H5 H9 117.705 H5 C4 H6 118.219
H5 C4 H8 117.705 H6 C4 H8 114.311
H7 H5 H9 114.311 H10 C2 H11 107.552
H10 C2 H12 107.552 H11 C2 H12 107.796
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.112      
2 C -0.572      
3 H 0.234      
4 C -0.588      
5 C -0.588      
6 H 0.196      
7 H 0.196      
8 H 0.224      
9 H 0.224      
10 H 0.244      
11 H 0.160      
12 H 0.160      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.047 0.132 0.000 0.140
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.766 0.229 0.000
y 0.229 -27.729 0.000
z 0.000 0.000 -27.487
Traceless
 xyz
x 1.842 0.229 0.000
y 0.229 -1.102 0.000
z 0.000 0.000 -0.740
Polar
3z2-r2-1.480
x2-y21.963
xy0.229
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.199 -0.591 0.000
y -0.591 8.140 0.000
z 0.000 0.000 7.484


<r2> (average value of r2) Å2
<r2> 84.123
(<r2>)1/2 9.172