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

using model chemistry: mPW1PW91/aug-cc-pVDZ

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 mPW1PW91/aug-cc-pVDZ
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/aug-cc-pVDZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-235.817176
Energy at 298.15K-235.830586
HF Energy-235.817176
Nuclear repulsion energy249.671580
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/aug-cc-pVDZ
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' 3131 3000 114.97      
2 A' 3123 2992 22.83      
3 A' 3119 2989 25.07      
4 A' 3084 2955 18.80      
5 A' 3072 2944 11.25      
6 A' 3065 2937 5.78      
7 A' 3042 2915 33.12      
8 A' 3040 2913 32.63      
9 A' 1490 1428 5.12      
10 A' 1479 1417 2.84      
11 A' 1476 1414 6.60      
12 A' 1401 1343 3.11      
13 A' 1398 1340 10.14      
14 A' 1373 1316 0.35      
15 A' 1360 1303 7.81      
16 A' 1273 1220 2.95      
17 A' 1250 1198 0.50      
18 A' 1199 1149 0.17      
19 A' 1153 1105 0.28      
20 A' 1057 1013 0.46      
21 A' 958 918 0.92      
22 A' 948 909 0.62      
23 A' 873 837 0.94      
24 A' 814 780 1.05      
25 A' 651 624 1.61      
26 A' 431 413 0.07      
27 A' 327 313 0.10      
28 A' 95 91 0.01      
29 A" 3126 2995 37.42      
30 A" 3123 2993 11.75      
31 A" 3122 2992 23.36      
32 A" 3063 2935 82.61      
33 A" 1477 1416 3.58      
34 A" 1475 1413 0.18      
35 A" 1460 1399 7.10      
36 A" 1287 1233 0.25      
37 A" 1264 1211 0.00      
38 A" 1224 1173 0.07      
39 A" 1142 1095 0.43      
40 A" 1128 1081 0.03      
41 A" 991 950 3.09      
42 A" 922 883 0.00      
43 A" 911 873 0.02      
44 A" 805 772 0.13      
45 A" 375 360 0.00      
46 A" 261 250 0.07      
47 A" 253 243 0.00      
48 A" 232 222 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 36659.9 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 35131.2 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/aug-cc-pVDZ
ABC
0.26042 0.07724 0.07043

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.252 0.083 1.080
C2 0.252 0.083 -1.080
C3 -0.658 0.717 0.000
C4 0.844 -0.859 0.000
C5 -0.846 2.222 0.000
C6 0.252 -2.259 0.000
H7 0.994 0.801 1.452
H8 -0.239 -0.391 1.940
H9 0.994 0.801 -1.452
H10 -0.239 -0.391 -1.940
H11 -1.640 0.226 0.000
H12 1.940 -0.927 0.000
H13 0.125 2.735 0.000
H14 -0.846 -2.227 0.000
H15 -1.403 2.551 -0.888
H16 -1.403 2.551 0.888
H17 0.571 -2.821 -0.889
H18 0.571 -2.821 0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15981.54811.55072.63572.57911.09791.09792.73483.09622.18342.24392.86652.77603.56442.97803.52232.9270
C22.15981.54811.55072.63572.57912.73483.09621.09791.09792.18342.24392.86652.77602.97803.56442.92703.5223
C31.54811.54812.17771.51593.11282.20152.27352.20152.27351.09833.07452.16422.95032.16952.16953.84933.8493
C41.55071.55072.17773.51431.52022.21082.27092.21082.27092.71141.09763.66562.17444.17984.17982.17042.1704
C52.63572.63571.51593.51434.61362.74183.31042.74183.31042.14744.20461.09894.44841.09871.09875.31245.3124
C62.57912.57913.11281.52024.61363.46762.73803.46762.73803.12402.15014.99611.09885.16435.16431.09851.0985
H71.09792.73482.20152.21082.74183.46761.78282.90493.80143.06292.44722.57053.82933.78033.02174.33283.6891
H81.09793.09622.27352.27093.31042.73801.78283.80143.88052.47182.96623.69712.73944.24393.33453.81612.7685
H92.73481.09792.20152.21082.74183.46762.90493.80141.78283.06292.44722.57053.82933.02173.78033.68914.3328
H103.09621.09792.27352.27093.31042.73803.80143.88051.78282.47182.96623.69712.73943.33454.24392.76853.8161
H112.18342.18341.09832.71142.14743.12403.06292.47183.06292.47183.76133.06772.57842.50002.50003.86833.8683
H122.24392.24393.07451.09764.20462.15012.44722.96622.44722.96623.76134.08733.07424.90544.90542.49942.4994
H132.86652.86652.16423.66561.09894.99612.57053.69712.57053.69713.06774.08735.05611.77701.77705.64395.6439
H142.77602.77602.95032.17444.44841.09883.82932.73943.82932.73942.57843.07425.05614.89164.89161.77531.7753
H153.56442.97802.16954.17981.09875.16433.78034.24393.02173.33452.50004.90541.77704.89161.77625.72305.9925
H162.97803.56442.16954.17981.09875.16433.02173.33453.78034.24392.50004.90541.77704.89161.77625.99255.7230
H173.52232.92703.84932.17045.31241.09854.33283.81613.68912.76853.86832.49945.64391.77535.72305.99251.7776
H182.92703.52233.84932.17045.31241.09853.68912.76854.33283.81613.86832.49945.64391.77535.99255.72301.7776

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 88.461 C1 C3 C5 118.677
C1 C3 H11 110.021 C1 C4 C2 88.278
C1 C4 C6 114.248 C1 C4 H12 114.768
C2 C3 C5 118.677 C2 C3 H11 110.021
C2 C4 C6 114.248 C2 C4 H12 114.768
C3 C1 C4 89.300 C3 C1 H7 111.478
C3 C1 H8 117.443 C3 C2 C4 89.300
C3 C2 H9 111.478 C3 C2 H10 117.443
C3 C5 H13 110.715 C3 C5 H15 111.146
C3 C5 H16 111.146 C4 C1 H7 112.035
C4 C1 H8 117.024 C4 C2 H9 112.035
C4 C2 H10 117.024 C4 C6 H14 111.231
C4 C6 H17 110.929 C4 C6 H18 110.929
C5 C3 H11 109.415 C6 C4 H12 109.375
H7 C1 H8 108.565 H9 C2 H10 108.565
H13 C5 H15 107.917 H13 C5 H16 107.917
H14 C6 H17 107.794 H14 C6 H18 107.794
H15 C5 H16 107.861 H17 C6 H18 108.018
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.208      
2 C 1.208      
3 C -0.087      
4 C 0.024      
5 C 0.378      
6 C 0.417      
7 H -0.370      
8 H -0.405      
9 H -0.370      
10 H -0.405      
11 H -0.517      
12 H -0.552      
13 H -0.122      
14 H -0.117      
15 H -0.046      
16 H -0.046      
17 H -0.098      
18 H -0.098      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.015 -0.016 0.000 0.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.589 0.338 0.000
y 0.338 -40.915 0.000
z 0.000 0.000 -40.581
Traceless
 xyz
x 1.159 0.338 0.000
y 0.338 -0.830 0.000
z 0.000 0.000 -0.329
Polar
3z2-r2-0.659
x2-y21.326
xy0.338
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.916 -0.750 0.000
y -0.750 12.127 0.000
z 0.000 0.000 10.474


<r2> (average value of r2) Å2
<r2> 191.810
(<r2>)1/2 13.850