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All results from a given calculation for C4H8 (methylcyclopropane)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-157.187740
Energy at 298.15K-157.196348
HF Energy-157.187740
Nuclear repulsion energy124.412740
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 mPW1PW91/6-31G**
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' 3261 3103 23.66      
2 A' 3180 3026 19.07      
3 A' 3170 3016 14.22      
4 A' 3139 2986 18.39      
5 A' 3060 2912 33.56      
6 A' 1539 1464 1.38      
7 A' 1516 1442 7.76      
8 A' 1447 1376 3.07      
9 A' 1406 1338 2.30      
10 A' 1254 1193 0.13      
11 A' 1224 1165 0.05      
12 A' 1075 1023 5.32      
13 A' 1020 971 11.48      
14 A' 951 905 3.45      
15 A' 813 773 6.56      
16 A' 783 745 1.01      
17 A' 365 347 0.21      
18 A" 3248 3090 0.25      
19 A" 3165 3011 23.73      
20 A" 3138 2986 28.06      
21 A" 1508 1435 1.79      
22 A" 1483 1411 2.33      
23 A" 1207 1149 0.54      
24 A" 1152 1096 0.28      
25 A" 1119 1065 5.65      
26 A" 1081 1029 1.65      
27 A" 899 856 7.13      
28 A" 825 785 5.11      
29 A" 345 328 0.79      
30 A" 228 217 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 24299.4 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 23120.9 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 mPW1PW91/6-31G**
ABC
0.52380 0.21207 0.18637

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.346 0.402 0.000
C2 -0.878 1.281 0.000
H3 1.290 0.941 0.000
C4 0.346 -0.899 0.752
C5 0.346 -0.899 -0.752
H6 1.251 -1.202 1.266
H7 1.251 -1.202 -1.266
H8 -0.570 -1.188 1.258
H9 -0.570 -1.188 -1.258
H10 -1.791 0.677 0.000
H11 -0.908 1.924 0.884
H12 -0.908 1.924 -0.884

Atom - Atom Distances (Å)
  C1 C2 H3 C4 C5 H6 H7 H8 H9 H10 H11 H12
C11.50671.08721.50231.50232.23502.23502.22452.22452.15442.16142.1614
C21.50672.19412.61022.61023.50713.50712.78792.78791.09421.09421.0942
H31.08722.19412.20042.20042.48962.48963.09423.09423.09192.56472.5647
C41.50232.61022.20041.50401.08442.23271.08532.22762.75953.09163.4955
C51.50232.61022.20041.50402.23271.08442.22761.08532.75953.49553.0916
H62.23503.50712.48961.08442.23272.53261.82083.11253.79333.81834.3657
H72.23503.50712.48962.23271.08442.53263.11251.82083.79334.36573.8183
H82.22452.78793.09421.08532.22761.82083.11252.51622.56003.15283.7936
H92.22452.78793.09422.22761.08533.11251.82082.51622.56003.79363.1528
H102.15441.09423.09192.75952.75953.79333.79332.56002.56001.76551.7655
H112.16141.09422.56473.09163.49553.81834.36573.15283.79361.76551.7689
H122.16141.09422.56473.49553.09164.36573.81833.79363.15281.76551.7689

picture of methylcyclopropane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H10 110.858 C1 C2 H11 111.418
C1 C2 H12 111.418 C1 C4 H5 59.962
C1 C4 H6 118.651 C1 C4 H8 117.656
C1 H5 C4 59.962 C1 H5 H7 118.651
C1 H5 H9 117.656 C2 C1 C3 114.570
C2 C1 C4 120.329 C2 C1 H5 120.329
C3 C1 C4 115.438 C3 C1 H5 115.438
C4 C1 H5 60.076 C4 H5 H7 118.310
C4 H5 H9 117.793 H5 C4 H6 118.310
H5 C4 H8 117.793 H6 C4 H8 114.111
H7 H5 H9 114.111 H10 C2 H11 107.554
H10 C2 H12 107.554 H11 C2 H12 107.857
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.122      
2 C -0.388      
3 H 0.133      
4 C -0.280      
5 C -0.280      
6 H 0.137      
7 H 0.137      
8 H 0.136      
9 H 0.136      
10 H 0.124      
11 H 0.134      
12 H 0.134      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.016 0.105 0.000 0.106
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -24.799 0.157 0.000
y 0.157 -26.727 0.000
z 0.000 0.000 -26.527
Traceless
 xyz
x 1.828 0.157 0.000
y 0.157 -1.064 0.000
z 0.000 0.000 -0.764
Polar
3z2-r2-1.528
x2-y21.928
xy0.157
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.875 -0.405 0.000
y -0.405 6.323 0.000
z 0.000 0.000 5.915


<r2> (average value of r2) Å2
<r2> 83.014
(<r2>)1/2 9.111