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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-157.040842
Energy at 298.15K-157.049307
HF Energy-157.040842
Nuclear repulsion energy123.895782
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/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' 3145 3110 23.29      
2 A' 3065 3030 15.79      
3 A' 3059 3025 13.97      
4 A' 3017 2983 18.98      
5 A' 2952 2919 36.64      
6 A' 1458 1441 1.26      
7 A' 1445 1429 9.52      
8 A' 1370 1355 3.97      
9 A' 1345 1329 2.09      
10 A' 1203 1189 0.00      
11 A' 1173 1160 0.01      
12 A' 1007 995 4.45      
13 A' 976 965 12.51      
14 A' 910 900 2.44      
15 A' 777 768 6.01      
16 A' 749 740 1.18      
17 A' 351 347 0.19      
18 A" 3130 3095 0.29      
19 A" 3055 3020 25.16      
20 A" 3014 2981 26.68      
21 A" 1436 1420 2.49      
22 A" 1414 1398 3.14      
23 A" 1154 1141 0.69      
24 A" 1098 1086 0.02      
25 A" 1070 1058 3.90      
26 A" 1022 1010 1.41      
27 A" 853 844 7.17      
28 A" 789 781 4.47      
29 A" 331 327 0.64      
30 A" 218 215 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23291.8 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 23030.9 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/aug-cc-pVTZ
ABC
0.51874 0.21067 0.18503

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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 1.256 -1.208 1.271
H7 1.256 -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 -0.911 1.932 0.889
H12 -0.911 1.932 -0.889

Atom - Atom Distances (Å)
  C1 C2 H3 C4 C5 H6 H7 H8 H9 H10 H11 H12
C11.50991.09251.50911.50912.24592.24592.23252.23252.16122.16962.1696
C21.50992.20262.61842.61843.52063.52062.79422.79421.10041.10051.1005
H31.09252.20262.20972.20972.50072.50073.10653.10653.10502.57632.5763
C41.50912.61842.20971.51241.08952.24341.09052.23832.76743.10323.5099
C51.50912.61842.20971.51242.24341.08952.23831.09052.76743.50993.1032
H62.24593.52062.50071.08952.24342.54291.83153.12703.80703.83484.3850
H72.24593.52062.50072.24341.08952.54293.12701.83153.80704.38503.8348
H82.23252.79423.10651.09052.23831.83153.12702.52632.56313.16153.8063
H92.23252.79423.10652.23831.09053.12701.83152.52632.56313.80633.1615
H102.16121.10043.10502.76742.76743.80703.80702.56312.56311.77561.7756
H112.16961.10052.57633.10323.50993.83484.38503.16153.80631.77561.7784
H122.16961.10052.57633.50993.10324.38503.83483.80633.16151.77561.7784

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.801 C1 C2 H11 111.464
C1 C2 H12 111.464 C1 C4 H5 59.927
C1 C4 H6 118.714 C1 C4 H8 117.460
C1 H5 C4 59.927 C1 H5 H7 118.714
C1 H5 H9 117.460 C2 C1 C3 114.693
C2 C1 C4 120.291 C2 C1 H5 120.291
C3 C1 C4 115.353 C3 C1 H5 115.353
C4 C1 H5 60.145 C4 H5 H7 118.224
C4 H5 H9 117.702 H5 C4 H6 118.224
H5 C4 H8 117.702 H6 C4 H8 114.312
H7 H5 H9 114.312 H10 C2 H11 107.562
H10 C2 H12 107.562 H11 C2 H12 107.802
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.113      
2 C -0.572      
3 H 0.234      
4 C -0.589      
5 C -0.589      
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 0.133 0.000 0.141
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -25.767 0.230 0.000
y 0.230 -27.729 0.000
z 0.000 0.000 -27.486
Traceless
 xyz
x 1.840 0.230 0.000
y 0.230 -1.102 0.000
z 0.000 0.000 -0.738
Polar
3z2-r2-1.476
x2-y21.962
xy0.230
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.198 -0.591 0.000
y -0.591 8.140 0.000
z 0.000 0.000 7.483


<r2> (average value of r2) Å2
<r2> 84.127
(<r2>)1/2 9.172