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

using model chemistry: B3LYP/aug-cc-pVTZ

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 B3LYP/aug-cc-pVTZ
Rotational Constants (cm-1) from geometry optimized at B3LYP/aug-cc-pVTZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVTZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/aug-cc-pVTZ
 hartrees
Energy at 0K-235.933128
Energy at 298.15K-235.946511
HF Energy-235.933128
Nuclear repulsion energy249.310991
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/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' 3084 2983 119.19      
2 A' 3072 2973 26.16      
3 A' 3069 2969 30.07      
4 A' 3043 2944 12.19      
5 A' 3030 2932 7.62      
6 A' 3025 2927 9.11      
7 A' 3012 2914 33.13      
8 A' 3011 2913 29.53      
9 A' 1503 1454 8.90      
10 A' 1498 1449 1.03      
11 A' 1494 1445 3.63      
12 A' 1413 1367 5.88      
13 A' 1410 1364 1.66      
14 A' 1383 1338 0.70      
15 A' 1364 1320 9.90      
16 A' 1277 1236 3.28      
17 A' 1251 1211 0.31      
18 A' 1199 1160 0.33      
19 A' 1124 1087 0.43      
20 A' 1043 1010 1.17      
21 A' 964 933 0.90      
22 A' 941 911 0.50      
23 A' 865 837 0.58      
24 A' 794 768 0.77      
25 A' 645 624 1.29      
26 A' 431 417 0.06      
27 A' 324 313 0.08      
28 A' 89 86 0.01      
29 A" 3076 2976 21.82      
30 A" 3072 2972 24.84      
31 A" 3069 2970 30.83      
32 A" 3028 2930 80.03      
33 A" 1498 1449 4.32      
34 A" 1496 1447 0.26      
35 A" 1476 1428 4.86      
36 A" 1291 1249 0.33      
37 A" 1278 1236 0.01      
38 A" 1227 1188 0.07      
39 A" 1145 1107 0.40      
40 A" 1128 1092 0.00      
41 A" 999 966 2.61      
42 A" 900 870 0.00      
43 A" 895 866 0.15      
44 A" 810 784 0.06      
45 A" 378 366 0.00      
46 A" 260 251 0.06      
47 A" 252 244 0.00      
48 A" 235 228 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 36435.1 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 35250.9 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 B3LYP/aug-cc-pVTZ
ABC
0.26237 0.07661 0.06964

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.243 0.077 1.083
C2 0.243 0.077 -1.083
C3 -0.655 0.732 0.000
C4 0.834 -0.869 0.000
C5 -0.818 2.243 0.000
C6 0.243 -2.274 0.000
H7 0.987 0.779 1.464
H8 -0.254 -0.392 1.933
H9 0.987 0.779 -1.464
H10 -0.254 -0.392 -1.933
H11 -1.641 0.264 0.000
H12 1.923 -0.939 0.000
H13 0.156 2.738 0.000
H14 -0.848 -2.247 0.000
H15 -1.365 2.582 -0.882
H16 -1.365 2.582 0.882
H17 0.561 -2.833 -0.883
H18 0.561 -2.833 0.883

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.16571.55231.55482.64362.58861.09131.09092.74413.09242.18172.24162.87462.78703.56722.98403.52592.9340
C22.16571.55231.55482.64362.58862.74413.09241.09131.09092.18172.24162.87462.78702.98403.56722.93403.5259
C31.55231.55232.18731.51913.13792.20042.27222.20042.27221.09153.07232.16372.98592.16902.16903.86903.8690
C41.55481.55482.18733.52341.52412.20972.26902.20972.26902.72291.09063.67112.17494.18694.18692.17002.1700
C52.64362.64361.51913.52344.63992.74633.31632.74633.31632.14304.19911.09224.49021.09221.09225.33315.3331
C62.58862.58863.13791.52414.63993.46662.74333.46662.74333.16162.14555.01331.09215.19155.19151.09191.0919
H71.09132.74412.20042.20972.74633.46661.76972.92713.80113.05222.44312.58313.83023.77983.02044.32813.6830
H81.09093.09242.27222.26903.31632.74331.76973.80113.86622.46852.96183.70202.74454.24363.34493.81442.7792
H92.74411.09132.20042.20972.74633.46662.92713.80111.76973.05222.44312.58313.83023.02043.77983.68304.3281
H103.09241.09092.27222.26903.31632.74333.80113.86621.76972.46852.96183.70202.74453.34494.24362.77923.8144
H112.18172.18171.09152.72292.14303.16163.05222.46853.05222.46853.76163.05782.63382.49562.49563.90153.9015
H122.24162.24163.07231.09064.19912.14552.44312.96182.44312.96183.76164.07993.06454.89764.89762.49402.4940
H132.87462.87462.16373.67111.09225.01332.58313.70202.58313.70203.05784.07995.08581.76481.76485.65535.6553
H142.78702.78702.98592.17494.49021.09213.83022.74453.83022.74452.63383.06455.08584.93674.93671.76311.7631
H153.56722.98402.16904.18691.09225.19153.77984.24363.02043.34492.49564.89761.76484.93671.76415.74766.0124
H162.98403.56722.16904.18691.09225.19153.02043.34493.77984.24362.49564.89761.76484.93671.76416.01245.7476
H173.52592.93403.86902.17005.33311.09194.32813.81443.68302.77923.90152.49405.65531.76315.74766.01241.7655
H182.93403.52593.86902.17005.33311.09193.68302.77924.32813.81443.90152.49405.65531.76316.01245.74761.7655

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 88.469 C1 C3 C5 118.792
C1 C3 H11 109.999 C1 C4 C2 88.285
C1 C4 C6 114.436 C1 C4 H12 114.715
C2 C3 C5 118.792 C2 C3 H11 109.999
C2 C4 C6 114.436 C2 C4 H12 114.715
C3 C1 C4 89.493 C3 C1 H7 111.491
C3 C1 H8 117.485 C3 C2 C4 89.493
C3 C2 H9 111.491 C3 C2 H10 117.485
C3 C5 H13 110.848 C3 C5 H15 111.272
C3 C5 H16 111.272 C4 C1 H7 112.055
C4 C1 H8 117.011 C4 C2 H9 112.055
C4 C2 H10 117.011 C4 C6 H14 111.408
C4 C6 H17 111.025 C4 C6 H18 111.025
C5 C3 H11 109.250 C6 C4 H12 109.161
H7 C1 H8 108.378 H9 C2 H10 108.378
H13 C5 H15 107.783 H13 C5 H16 107.783
H14 C6 H17 107.665 H14 C6 H18 107.665
H15 C5 H16 107.720 H17 C6 H18 107.887
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.807      
2 C -0.807      
3 C 0.646      
4 C 0.309      
5 C -0.866      
6 C -0.787      
7 H 0.108      
8 H 0.254      
9 H 0.108      
10 H 0.254      
11 H 0.248      
12 H 0.344      
13 H 0.240      
14 H 0.231      
15 H 0.126      
16 H 0.126      
17 H 0.135      
18 H 0.135      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.011 -0.018 0.000 0.021
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.009 0.286 0.000
y 0.286 -41.403 0.000
z 0.000 0.000 -41.022
Traceless
 xyz
x 1.203 0.286 0.000
y 0.286 -0.888 0.000
z 0.000 0.000 -0.316
Polar
3z2-r2-0.632
x2-y21.394
xy0.286
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.951 -0.729 0.000
y -0.729 12.274 0.000
z 0.000 0.000 10.553


<r2> (average value of r2) Å2
<r2> 193.214
(<r2>)1/2 13.900