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All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at PBE1PBE/6-31G**
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-235.551912
Energy at 298.15K-235.565335
HF Energy-235.551912
Nuclear repulsion energy249.974601
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3140 2993 106.27      
2 A' 3135 2988 13.32      
3 A' 3131 2984 25.25      
4 A' 3093 2947 20.64      
5 A' 3079 2935 11.36      
6 A' 3075 2930 7.99      
7 A' 3058 2915 30.72      
8 A' 3057 2914 25.21      
9 A' 1529 1457 9.89      
10 A' 1523 1451 2.34      
11 A' 1518 1447 2.18      
12 A' 1437 1370 9.55      
13 A' 1435 1368 0.69      
14 A' 1399 1334 0.45      
15 A' 1383 1318 10.32      
16 A' 1298 1237 2.10      
17 A' 1270 1211 0.46      
18 A' 1217 1160 0.25      
19 A' 1159 1105 0.29      
20 A' 1069 1019 0.28      
21 A' 973 927 1.24      
22 A' 960 915 1.14      
23 A' 881 839 1.39      
24 A' 823 784 1.15      
25 A' 651 621 1.99      
26 A' 428 408 0.14      
27 A' 327 312 0.14      
28 A' 99 95 0.01      
29 A" 3140 2992 32.78      
30 A" 3137 2990 24.83      
31 A" 3131 2985 9.72      
32 A" 3074 2930 65.49      
33 A" 1525 1453 4.40      
34 A" 1523 1452 0.10      
35 A" 1495 1425 3.67      
36 A" 1312 1251 0.68      
37 A" 1287 1227 0.00      
38 A" 1249 1190 0.11      
39 A" 1159 1105 0.69      
40 A" 1148 1094 0.12      
41 A" 1008 961 4.00      
42 A" 932 888 0.01      
43 A" 923 880 0.00      
44 A" 817 778 0.38      
45 A" 374 357 0.01      
46 A" 261 248 0.17      
47 A" 255 243 0.00      
48 A" 236 225 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 37066.4 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 35328.0 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 PBE1PBE/6-31G**
ABC
0.25947 0.07750 0.07083

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.257 0.086 1.078
C2 0.257 0.086 -1.078
C3 -0.660 0.710 0.000
C4 0.851 -0.854 0.000
C5 -0.864 2.212 0.000
C6 0.257 -2.254 0.000
H7 0.995 0.809 1.446
H8 -0.227 -0.387 1.941
H9 0.995 0.809 -1.446
H10 -0.227 -0.387 -1.941
H11 -1.636 0.208 0.000
H12 1.945 -0.922 0.000
H13 0.101 2.735 0.000
H14 -0.840 -2.221 0.000
H15 -1.422 2.538 -0.886
H16 -1.422 2.538 0.886
H17 0.574 -2.815 -0.887
H18 0.574 -2.815 0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15661.54681.54912.63432.57661.09651.09642.72783.09412.18162.24242.86442.77263.56212.97753.51882.9250
C22.15661.54681.54912.63432.57662.72783.09411.09651.09642.18162.24242.86442.77262.97753.56212.92503.5188
C31.54681.54682.17451.51653.10232.20042.27112.20042.27111.09703.07382.16382.93602.16982.16983.83863.8386
C41.54911.54912.17453.51331.52032.20872.26852.20872.26852.70371.09623.66702.17364.17814.17812.17012.1701
C52.63432.63431.51653.51334.60482.74183.30612.74183.30612.14814.20871.09714.43331.09681.09685.30395.3039
C62.57662.57663.10231.52034.60483.46652.73613.46652.73613.10532.14994.99171.09725.15415.15411.09661.0966
H71.09652.72782.20042.20872.74183.46651.77982.89273.79423.06172.44742.56973.82573.77793.02414.33093.6910
H81.09643.09412.27112.26853.30612.73611.77983.79423.88182.47102.96123.69102.73954.23993.33103.81252.7653
H92.72781.09652.20042.20872.74183.46652.89273.79421.77983.06172.44742.56973.82573.02413.77793.69104.3309
H103.09411.09642.27112.26853.30612.73613.79423.88181.77982.47102.96123.69102.73953.33104.23992.76533.8125
H112.18162.18161.09702.70372.14813.10533.06172.47103.06172.47103.75463.06652.55582.50202.50203.84813.8481
H122.24242.24243.07381.09624.20872.14992.44742.96122.44742.96123.75464.09603.07244.90834.90832.50022.5002
H132.86442.86442.16383.66701.09714.99172.56973.69102.56973.69103.06654.09605.04451.77281.77285.64095.6409
H142.77262.77262.93602.17364.43331.09723.82572.73953.82572.73952.55583.07245.04454.87534.87531.77151.7715
H153.56212.97752.16984.17811.09685.15413.77794.23993.02413.33102.50204.90831.77284.87531.77275.71305.9819
H162.97753.56212.16984.17811.09685.15413.02413.33103.77794.23992.50204.90831.77284.87531.77275.98195.7130
H173.51882.92503.83862.17015.30391.09664.33093.81253.69102.76533.84812.50025.64091.77155.71305.98191.7744
H182.92503.51883.83862.17015.30391.09663.69102.76534.33093.81253.84812.50025.64091.77155.98195.71301.7744

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.394 C1 C3 C5 118.622
C1 C3 H11 110.051 C1 C4 C2 88.228
C1 C4 C6 114.157 C1 C4 H12 114.844
C2 C3 C5 118.622 C2 C3 H11 110.051
C2 C4 C6 114.157 C2 C4 H12 114.844
C3 C1 C4 89.237 C3 C1 H7 111.561
C3 C1 H8 117.445 C3 C2 C4 89.237
C3 C2 H9 111.561 C3 C2 H10 117.445
C3 C5 H13 110.750 C3 C5 H15 111.243
C3 C5 H16 111.243 C4 C1 H7 112.064
C4 C1 H8 117.045 C4 C2 H9 112.064
C4 C2 H10 117.045 C4 C6 H14 111.253
C4 C6 H17 111.009 C4 C6 H18 111.009
C5 C3 H11 109.507 C6 C4 H12 109.432
H7 C1 H8 108.505 H9 C2 H10 108.505
H13 C5 H15 107.814 H13 C5 H16 107.814
H14 C6 H17 107.705 H14 C6 H18 107.705
H15 C5 H16 107.821 H17 C6 H18 108.004
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.328      
2 C -0.328      
3 C -0.130      
4 C -0.147      
5 C -0.524      
6 C -0.522      
7 H 0.162      
8 H 0.162      
9 H 0.162      
10 H 0.162      
11 H 0.162      
12 H 0.158      
13 H 0.163      
14 H 0.167      
15 H 0.170      
16 H 0.170      
17 H 0.171      
18 H 0.171      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.023 0.368 0.000
y 0.368 -39.967 0.000
z 0.000 0.000 -39.743
Traceless
 xyz
x 0.832 0.368 0.000
y 0.368 -0.584 0.000
z 0.000 0.000 -0.248
Polar
3z2-r2-0.496
x2-y20.944
xy0.368
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.473 -0.574 0.000
y -0.574 10.018 0.000
z 0.000 0.000 8.770


<r2> (average value of r2) Å2
<r2> 190.740
(<r2>)1/2 13.811