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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/6-31G**
See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-235.585928
Energy at 298.15K-235.599330
HF Energy-235.585928
Nuclear repulsion energy250.063927
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 HSEh1PBE/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' 3136 2993 104.86      
2 A' 3131 2988 12.96      
3 A' 3127 2984 24.61      
4 A' 3087 2946 21.87      
5 A' 3075 2935 12.76      
6 A' 3069 2929 6.07      
7 A' 3051 2911 30.15      
8 A' 3050 2910 27.08      
9 A' 1512 1443 8.96      
10 A' 1505 1436 2.16      
11 A' 1501 1433 2.21      
12 A' 1422 1357 8.79      
13 A' 1421 1356 1.08      
14 A' 1388 1324 0.43      
15 A' 1372 1310 10.19      
16 A' 1289 1231 1.90      
17 A' 1263 1205 0.56      
18 A' 1209 1154 0.24      
19 A' 1153 1100 0.33      
20 A' 1063 1014 0.37      
21 A' 967 922 1.26      
22 A' 956 912 1.08      
23 A' 876 836 1.37      
24 A' 819 782 1.06      
25 A' 650 620 2.01      
26 A' 427 408 0.13      
27 A' 328 313 0.13      
28 A' 99 95 0.01      
29 A" 3135 2992 32.62      
30 A" 3133 2990 24.35      
31 A" 3128 2985 9.96      
32 A" 3068 2927 66.44      
33 A" 1507 1439 3.83      
34 A" 1506 1437 0.15      
35 A" 1478 1410 3.38      
36 A" 1304 1244 0.71      
37 A" 1280 1221 0.00      
38 A" 1241 1184 0.10      
39 A" 1152 1100 0.63      
40 A" 1140 1088 0.09      
41 A" 1002 956 3.88      
42 A" 927 884 0.01      
43 A" 918 876 0.01      
44 A" 811 774 0.39      
45 A" 375 358 0.01      
46 A" 261 249 0.16      
47 A" 256 244 0.00      
48 A" 236 225 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 36900.6 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 35214.3 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 HSEh1PBE/6-31G**
ABC
0.25953 0.07755 0.07088

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 0.709 0.000
C4 0.851 -0.854 0.000
C5 -0.865 2.211 0.000
C6 0.257 -2.253 0.000
H7 0.995 0.809 1.445
H8 -0.225 -0.386 1.941
H9 0.995 0.809 -1.445
H10 -0.225 -0.386 -1.941
H11 -1.635 0.206 0.000
H12 1.944 -0.922 0.000
H13 0.098 2.734 0.000
H14 -0.838 -2.220 0.000
H15 -1.423 2.536 -0.885
H16 -1.423 2.536 0.885
H17 0.573 -2.815 -0.886
H18 0.573 -2.815 0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15621.54651.54892.63362.57611.09571.09542.72603.09352.18092.24182.86302.77143.56072.97683.51762.9244
C22.15621.54651.54892.63362.57612.72603.09351.09571.09542.18092.24182.86302.77142.97683.56072.92443.5176
C31.54651.54652.17401.51593.10102.19902.27062.19902.27061.09643.07322.16232.93402.16892.16893.83683.8368
C41.54891.54892.17403.51271.52002.20792.26782.20792.26782.70231.09553.66602.17224.17704.17702.16942.1694
C52.63362.63361.51593.51274.60312.74053.30482.74053.30482.14734.20831.09604.43071.09561.09565.30185.3018
C62.57612.57613.10101.52004.60313.46562.73603.46562.73603.10302.14904.98961.09615.15225.15221.09541.0954
H71.09572.72602.19902.20792.74053.46561.77802.88973.79193.06002.44702.56803.82383.77553.02304.32943.6908
H81.09543.09352.27062.26783.30482.73601.77803.79193.88182.47112.95953.68852.73964.23823.33023.81132.7651
H92.72601.09572.19902.20792.74053.46562.88973.79191.77803.06002.44702.56803.82383.02303.77553.69084.3294
H103.09351.09542.27062.26783.30482.73603.79193.88181.77802.47112.95953.68852.73963.33024.23822.76513.8113
H112.18092.18091.09642.70232.14733.10303.06002.47113.06002.47113.75273.06452.55332.50142.50143.84503.8450
H122.24182.24183.07321.09554.20832.14902.44702.95952.44702.95953.75274.09573.07034.90734.90732.49942.4994
H132.86302.86302.16233.66601.09604.98962.56803.68852.56803.68853.06454.09575.04121.77081.77085.63875.6387
H142.77142.77142.93402.17224.43071.09613.82382.73963.82382.73962.55333.07035.04124.87274.87271.76941.7694
H153.56072.97682.16894.17701.09565.15223.77554.23823.02303.33022.50144.90731.77084.87271.77045.71085.9792
H162.97683.56072.16894.17701.09565.15223.02303.33023.77554.23822.50144.90731.77084.87271.77045.97925.7108
H173.51762.92443.83682.16945.30181.09544.32943.81133.69082.76513.84502.49945.63871.76945.71085.97921.7723
H182.92443.51763.83682.16945.30181.09543.69082.76514.32943.81133.84502.49945.63871.76945.97925.71081.7723

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 88.393 C1 C3 C5 118.620
C1 C3 H11 110.046 C1 C4 C2 88.221
C1 C4 C6 114.157 C1 C4 H12 114.852
C2 C3 C5 118.620 C2 C3 H11 110.046
C2 C4 C6 114.157 C2 C4 H12 114.852
C3 C1 C4 89.229 C3 C1 H7 111.527
C3 C1 H8 117.495 C3 C2 C4 89.229
C3 C2 H9 111.527 C3 C2 H10 117.495
C3 C5 H13 110.728 C3 C5 H15 111.281
C3 C5 H16 111.281 C4 C1 H7 112.068
C4 C1 H8 117.062 C4 C2 H9 112.068
C4 C2 H10 117.062 C4 C6 H14 111.233
C4 C6 H17 111.045 C4 C6 H18 111.045
C5 C3 H11 109.518 C6 C4 H12 109.425
H7 C1 H8 108.480 H9 C2 H10 108.480
H13 C5 H15 107.801 H13 C5 H16 107.801
H14 C6 H17 107.685 H14 C6 H18 107.685
H15 C5 H16 107.791 H17 C6 H18 107.988
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.226      
2 C -0.226      
3 C -0.110      
4 C -0.128      
5 C -0.386      
6 C -0.380      
7 H 0.118      
8 H 0.116      
9 H 0.118      
10 H 0.116      
11 H 0.120      
12 H 0.114      
13 H 0.120      
14 H 0.123      
15 H 0.128      
16 H 0.128      
17 H 0.127      
18 H 0.127      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.026 0.003 0.000 0.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.074 0.330 0.000
y 0.330 -39.881 0.000
z 0.000 0.000 -39.746
Traceless
 xyz
x 0.739 0.330 0.000
y 0.330 -0.471 0.000
z 0.000 0.000 -0.268
Polar
3z2-r2-0.536
x2-y20.807
xy0.330
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.602 -0.587 0.000
y -0.587 10.190 0.000
z 0.000 0.000 8.895


<r2> (average value of r2) Å2
<r2> 190.618
(<r2>)1/2 13.806