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All results from a given calculation for C6H12 (Cyclopentane, methyl-)

using model chemistry: B3LYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-235.895260
Energy at 298.15K-235.908919
Nuclear repulsion energy251.947571
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 B3LYP/6-31+G**
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 3103 2992 109.49      
2 A 3095 2984 38.17      
3 A 3090 2979 36.73      
4 A 3084 2974 14.24      
5 A 3079 2969 6.16      
6 A 3072 2962 54.00      
7 A 3056 2947 56.20      
8 A 3043 2934 21.35      
9 A 3028 2919 91.75      
10 A 3021 2913 12.73      
11 A 3018 2910 27.41      
12 A 2992 2885 14.19      
13 A 1525 1470 1.46      
14 A 1506 1452 11.68      
15 A 1500 1446 3.50      
16 A 1500 1446 2.71      
17 A 1499 1445 1.70      
18 A 1489 1436 0.00      
19 A 1416 1366 3.71      
20 A 1390 1340 1.29      
21 A 1350 1302 1.39      
22 A 1336 1288 0.07      
23 A 1329 1281 0.06      
24 A 1319 1272 1.66      
25 A 1300 1253 0.00      
26 A 1262 1217 0.33      
27 A 1246 1202 0.60      
28 A 1215 1171 0.32      
29 A 1203 1160 0.43      
30 A 1156 1115 0.99      
31 A 1100 1061 0.08      
32 A 1045 1008 0.33      
33 A 1018 981 0.76      
34 A 994 958 2.45      
35 A 981 946 0.38      
36 A 930 897 0.00      
37 A 914 881 0.52      
38 A 887 855 1.20      
39 A 849 819 0.83      
40 A 816 787 0.15      
41 A 757 730 0.56      
42 A 628 605 0.25      
43 A 529 510 0.43      
44 A 428 412 0.10      
45 A 303 292 0.02      
46 A 232 223 0.00      
47 A 176 170 0.01      
48 A 26 25 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 36916.1 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 35594.5 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 B3LYP/6-31+G**
ABC
0.20705 0.09688 0.07301

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 0.707 -0.002 -1.462
C2 0.762 -0.001 -0.362
H3 0.191 -2.137 -0.352
H4 0.167 -1.344 1.225
C5 -0.055 -1.199 0.158
H6 0.189 2.135 -0.361
H7 0.172 1.350 1.220
C8 -0.055 1.199 0.155
H9 -1.926 1.163 -0.974
H10 -2.171 1.192 0.764
C11 -1.534 0.781 -0.025
H12 -2.176 -1.198 0.752
H13 -1.917 -1.158 -0.984
C14 -1.533 -0.781 -0.029
H15 2.757 0.884 -0.331
H16 2.757 -0.885 -0.328
H17 2.331 0.002 1.145
C18 2.234 -0.000 0.052

Atom - Atom Distances (Å)
  H1 C2 H3 H4 C5 H6 H7 C8 H9 H10 C11 H12 H13 C14 H15 H16 H17 C18
H11.10172.46123.05142.15372.46013.05122.15412.92053.83002.77493.82732.90662.77082.50422.50403.07182.1504
C21.10172.21162.16231.54082.21152.16221.54102.99233.36072.44833.36292.98362.44672.18302.18302.17561.5291
H32.46122.21161.76511.09604.27243.82493.38353.96954.23123.40472.77552.40802.21643.96462.85603.37582.9843
H43.05142.16231.76511.09933.82322.69362.76783.93703.47962.99462.39533.04252.18643.75363.05432.54902.7299
C52.15371.54081.09601.09933.38282.77022.39793.21833.24912.47712.20262.18411.54673.53402.87172.84782.5865
H62.46012.21154.27243.82323.38281.76481.09592.40692.77952.21684.23563.95823.40272.85733.96533.37792.9855
H73.05122.16223.82492.69362.77021.76481.09933.04102.39192.18673.49603.93813.00123.05063.75212.54712.7278
C82.15411.54103.38352.76782.39791.09591.09932.18532.20221.54723.25613.21242.47782.87143.53392.84772.5864
H92.92052.99233.96953.93703.21832.40693.04102.18531.75611.09582.93532.32102.19684.73565.15234.89514.4397
H103.83003.36074.23123.47963.24912.77952.39192.20221.75611.09492.38922.93992.22015.05815.45874.67254.6189
C112.77492.44833.40472.99462.47712.21682.18671.54721.09581.09492.22062.19661.56174.30314.61304.11253.8485
H123.82733.36292.77552.39532.20264.23563.49603.25612.93532.38922.22061.75631.09495.46345.06034.68084.6235
H132.90662.98362.40803.04252.18413.95823.93813.21242.32102.93992.19661.75631.09595.14244.72774.89104.4320
C142.77082.44672.21642.18641.54673.40273.00122.47782.19682.22011.56171.09491.09594.61194.30194.11373.8479
H152.50422.18303.96463.75363.53402.85733.05062.87144.73565.05814.30315.46345.14244.61191.76951.77131.0963
H162.50402.18302.85603.05432.87173.96533.75213.53395.15235.45874.61305.06034.72774.30191.76951.77131.0963
H173.07182.17563.37582.54902.84783.37792.54712.84774.89514.67254.11254.68084.89104.11371.77131.77131.0975
C182.15041.52912.98432.72992.58652.98552.72782.58644.43974.61893.84854.62354.43203.84791.09631.09631.0975

picture of Cyclopentane, methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C2 C5 108.028 H1 C2 C8 108.046
H1 C2 C18 108.562 C2 C5 H3 112.935
C2 C5 H4 108.818 C2 C5 C14 104.830
C2 C8 H6 112.915 C2 C8 H7 108.805
C2 C8 C11 104.895 C2 C18 H15 111.437
C2 C18 H16 111.437 C2 C18 H17 110.778
H3 C5 H4 107.034 H3 C5 C14 112.901
H4 C5 C14 110.296 C5 C2 C8 102.173
C5 C2 C18 114.814 C5 C14 C11 105.671
C5 C14 H12 111.845 C5 C14 H13 110.321
H6 C8 H7 107.017 H6 C8 C11 112.894
H7 C8 C11 110.289 C8 C2 C18 114.797
C8 C11 H9 110.387 C8 C11 H10 111.782
C8 C11 C14 105.692 H9 C11 H10 106.569
H9 C11 C14 110.284 H10 C11 C14 112.186
C11 C14 H12 112.223 C11 C14 H13 110.259
H12 C14 H13 106.579 H15 C18 H16 107.622
H15 C18 H17 107.692 H16 C18 H17 107.695
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.129     -0.034
2 C 0.225     0.335
3 H 0.135     0.004
4 H 0.138     0.024
5 C -0.363     -0.079
6 H 0.135     0.004
7 H 0.138     0.024
8 C -0.364     -0.079
9 H 0.141     0.016
10 H 0.137     0.021
11 C -0.282     -0.051
12 H 0.137     0.020
13 H 0.141     0.015
14 C -0.282     -0.048
15 H 0.141     0.110
16 H 0.141     0.110
17 H 0.141     0.108
18 C -0.587     -0.500


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.016 -0.001 -0.097 0.098
CHELPG        
AIM        
ESP -0.022 0.000 -0.067 0.071


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.532 -0.000 -0.274
y -0.000 -41.048 -0.001
z -0.274 -0.001 -39.887
Traceless
 xyz
x -1.064 -0.000 -0.274
y -0.000 -0.339 -0.001
z -0.274 -0.001 1.403
Polar
3z2-r22.806
x2-y2-0.483
xy-0.000
xz-0.274
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.293 -0.002 0.079
y -0.002 10.241 0.010
z 0.079 0.010 9.098


<r2> (average value of r2) Å2
<r2> 180.793
(<r2>)1/2 13.446