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

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-235.509716
Energy at 298.15K-235.522904
HF Energy-235.509716
Nuclear repulsion energy247.810027
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 PBEPBEultrafine/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' 3039 3021 92.30      
2 A' 3035 3018 18.61      
3 A' 3029 3011 24.73      
4 A' 2986 2968 18.99      
5 A' 2973 2956 11.40      
6 A' 2969 2952 10.67      
7 A' 2957 2940 31.66      
8 A' 2954 2937 29.17      
9 A' 1423 1415 7.67      
10 A' 1416 1408 1.01      
11 A' 1414 1406 4.09      
12 A' 1345 1337 2.35      
13 A' 1345 1337 3.57      
14 A' 1318 1310 0.17      
15 A' 1302 1295 13.00      
16 A' 1223 1216 1.19      
17 A' 1204 1197 0.33      
18 A' 1154 1147 0.38      
19 A' 1115 1108 0.35      
20 A' 1024 1018 1.39      
21 A' 924 919 1.12      
22 A' 912 907 0.67      
23 A' 845 840 1.44      
24 A' 789 784 0.91      
25 A' 629 625 1.82      
26 A' 418 416 0.18      
27 A' 317 316 0.08      
28 A' 92 92 0.01      
29 A" 3039 3022 28.32      
30 A" 3037 3019 22.12      
31 A" 3029 3011 8.25      
32 A" 2969 2952 72.25      
33 A" 1419 1411 2.83      
34 A" 1416 1408 1.22      
35 A" 1390 1382 3.42      
36 A" 1236 1229 1.28      
37 A" 1215 1208 0.00      
38 A" 1177 1170 0.15      
39 A" 1098 1091 0.37      
40 A" 1086 1080 0.03      
41 A" 961 956 3.15      
42 A" 889 883 0.00      
43 A" 878 873 0.02      
44 A" 777 773 0.25      
45 A" 363 361 0.01      
46 A" 259 257 0.07      
47 A" 245 244 0.03      
48 A" 230 228 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 35430.2 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 35224.7 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 PBEPBEultrafine/cc-pVDZ
ABC
0.25716 0.07615 0.06939

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.251 0.081 1.087
C2 0.251 0.081 -1.087
C3 -0.660 0.726 0.000
C4 0.846 -0.868 0.000
C5 -0.843 2.240 0.000
C6 0.251 -2.277 0.000
H7 1.003 0.803 1.466
H8 -0.246 -0.396 1.956
H9 1.003 0.803 -1.466
H10 -0.246 -0.396 -1.956
H11 -1.656 0.236 0.000
H12 1.952 -0.937 0.000
H13 0.139 2.758 0.000
H14 -0.858 -2.249 0.000
H15 -1.404 2.579 -0.896
H16 -1.404 2.579 0.896
H17 0.573 -2.845 -0.897
H18 0.573 -2.845 0.897

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17411.55831.56072.65342.59681.10881.10902.75733.11992.20032.26112.89102.80103.59283.00233.55032.9507
C22.17411.55831.56072.65342.59682.75733.11991.10881.10902.20032.26112.89102.80103.00233.59282.95073.5503
C31.55831.55832.19291.52523.13842.21832.29262.21832.29261.10953.09712.18312.98232.18822.18823.88353.8835
C41.56071.56072.19293.53731.52972.22802.28902.22802.28902.73411.10883.69382.19414.21224.21222.18872.1887
C52.65342.65341.52523.53734.64802.76103.33652.76103.33652.16284.23211.11004.48991.10951.10955.35495.3549
C62.59682.59683.13841.52974.64803.49282.75873.49282.75873.15442.16575.03611.10995.20795.20791.10931.1093
H71.10882.75732.21832.22802.76103.49281.79932.93153.83463.08842.46512.59173.86403.81093.04494.36773.7176
H81.10903.11992.29262.28903.33652.75871.79933.83463.91162.49232.99183.73102.76334.28053.36383.84792.7915
H92.75731.10882.21832.22802.76103.49282.93153.83461.79933.08842.46512.59173.86403.04493.81093.71764.3677
H103.11991.10902.29262.28903.33652.75873.83463.91161.79932.49232.99183.73102.76333.36384.28052.79153.8479
H112.20032.20031.10952.73412.16283.15443.08842.49233.08842.49233.79393.09512.61022.52122.52123.90703.9070
H122.26112.26113.09711.10884.23212.16572.46512.99182.46512.99183.79394.11593.10224.94244.94242.52002.5200
H132.89102.89102.18313.69381.11005.03612.59173.73102.59173.73103.09514.11595.10571.79251.79255.69135.6913
H142.80102.80102.98232.19414.48991.10993.86402.76333.86402.76332.61023.10225.10574.94114.94111.79081.7908
H153.59283.00232.18824.21221.10955.20793.81094.28053.04493.36382.52124.94241.79254.94111.79145.77356.0452
H163.00233.59282.18824.21221.10955.20793.04493.36383.81094.28052.52124.94241.79254.94111.79146.04525.7735
H173.55032.95073.88352.18875.35491.10934.36773.84793.71762.79153.90702.52005.69131.79085.77356.04521.7931
H182.95073.55033.88352.18875.35491.10933.71762.79154.36773.84793.90702.52005.69131.79086.04525.77351.7931

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 88.468 C1 C3 C5 118.751
C1 C3 H11 109.990 C1 C4 C2 88.294
C1 C4 C6 114.336 C1 C4 H12 114.725
C2 C3 C5 118.751 C2 C3 H11 109.990
C2 C4 C6 114.336 C2 C4 H12 114.725
C3 C1 C4 89.347 C3 C1 H7 111.442
C3 C1 H8 117.543 C3 C2 C4 89.347
C3 C2 H9 111.442 C3 C2 H10 117.543
C3 C5 H13 110.901 C3 C5 H15 111.327
C3 C5 H16 111.327 C4 C1 H7 112.040
C4 C1 H8 117.045 C4 C2 H9 112.040
C4 C2 H10 117.045 C4 C6 H14 111.459
C4 C6 H17 111.073 C4 C6 H18 111.073
C5 C3 H11 109.334 C6 C4 H12 109.296
H7 C1 H8 108.456 H9 C2 H10 108.456
H13 C5 H15 107.727 H13 C5 H16 107.727
H14 C6 H17 107.606 H14 C6 H18 107.606
H15 C5 H16 107.658 H17 C6 H18 107.849
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.075      
2 C 0.075      
3 C -0.156      
4 C -0.163      
5 C 0.002      
6 C -0.004      
7 H 0.006      
8 H 0.006      
9 H 0.006      
10 H 0.006      
11 H -0.004      
12 H -0.016      
13 H 0.023      
14 H 0.023      
15 H 0.030      
16 H 0.030      
17 H 0.030      
18 H 0.030      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.039 0.003 0.000 0.039
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.756 0.233 0.000
y 0.233 -40.580 0.000
z 0.000 0.000 -40.570
Traceless
 xyz
x 0.819 0.233 0.000
y 0.233 -0.417 0.000
z 0.000 0.000 -0.402
Polar
3z2-r2-0.805
x2-y20.824
xy0.233
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.292 -0.650 0.000
y -0.650 11.349 0.000
z 0.000 0.000 9.671


<r2> (average value of r2) Å2
<r2> 194.278
(<r2>)1/2 13.938