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

using model chemistry: B3PW91/6-31G*

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 B3PW91/6-31G*
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-235.764859
Energy at 298.15K-235.778219
HF Energy-235.764859
Nuclear repulsion energy249.326013
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 B3PW91/6-31G*
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' 3123 2988 119.02      
2 A' 3118 2983 12.33      
3 A' 3113 2979 27.38      
4 A' 3075 2941 18.46      
5 A' 3062 2929 9.19      
6 A' 3058 2926 13.42      
7 A' 3043 2911 34.70      
8 A' 3042 2911 26.42      
9 A' 1527 1461 9.75      
10 A' 1522 1456 1.63      
11 A' 1517 1451 2.03      
12 A' 1434 1372 6.76      
13 A' 1431 1369 1.27      
14 A' 1395 1335 0.59      
15 A' 1378 1318 11.17      
16 A' 1293 1237 1.80      
17 A' 1265 1210 0.35      
18 A' 1211 1158 0.27      
19 A' 1147 1097 0.33      
20 A' 1062 1016 0.50      
21 A' 971 929 1.21      
22 A' 952 911 1.04      
23 A' 876 838 1.28      
24 A' 813 777 1.05      
25 A' 647 619 1.81      
26 A' 428 409 0.15      
27 A' 324 310 0.13      
28 A' 92 88 0.01      
29 A" 3121 2986 36.32      
30 A" 3118 2983 27.73      
31 A" 3114 2979 8.39      
32 A" 3059 2927 72.22      
33 A" 1524 1458 3.79      
34 A" 1522 1456 0.34      
35 A" 1495 1430 3.08      
36 A" 1308 1251 0.83      
37 A" 1284 1228 0.01      
38 A" 1244 1190 0.12      
39 A" 1155 1105 0.78      
40 A" 1144 1094 0.03      
41 A" 1007 963 3.85      
42 A" 923 883 0.00      
43 A" 916 876 0.00      
44 A" 815 780 0.35      
45 A" 375 359 0.01      
46 A" 259 248 0.15      
47 A" 256 245 0.00      
48 A" 238 228 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 36896.4 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 35298.8 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 B3PW91/6-31G*
ABC
0.26035 0.07688 0.07007

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.255 0.085 1.080
C2 0.255 0.085 -1.080
C3 -0.659 0.716 0.000
C4 0.849 -0.859 0.000
C5 -0.859 2.222 0.000
C6 0.255 -2.262 0.000
H7 0.997 0.803 1.450
H8 -0.230 -0.386 1.943
H9 0.997 0.803 -1.450
H10 -0.230 -0.386 -1.943
H11 -1.637 0.218 0.000
H12 1.943 -0.928 0.000
H13 0.107 2.744 0.000
H14 -0.842 -2.233 0.000
H15 -1.416 2.551 -0.886
H16 -1.416 2.551 0.886
H17 0.572 -2.825 -0.887
H18 0.572 -2.825 0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.16041.55011.55242.64122.58351.09681.09662.73313.09832.18352.24522.87452.78263.56982.98583.52652.9334
C22.16041.55011.55242.64122.58352.73313.09831.09681.09662.18352.24522.87452.78262.98583.56982.93343.5265
C31.55011.55012.18101.51883.11582.20322.27512.20322.27511.09763.07852.16782.95512.17352.17353.85283.8528
C41.55241.55242.18103.52271.52312.21132.27252.21132.27252.70961.09683.67932.17824.18874.18872.17422.1742
C52.64122.64121.51883.52274.62042.74953.31262.74953.31262.14974.21581.09754.45521.09721.09725.32045.3204
C62.58352.58353.11581.52314.62043.47132.74443.47132.74443.12022.15155.00871.09745.17185.17181.09701.0970
H71.09682.73312.20322.21132.74953.47131.77852.90083.79973.06352.44872.58153.83453.78633.03254.33683.6964
H81.09663.09832.27512.27253.31262.74441.77853.79973.88672.47432.96553.69992.74994.24723.33953.82122.7765
H92.73311.09682.20322.21132.74953.47132.90083.79971.77853.06352.44872.58153.83453.03253.78633.69644.3368
H103.09831.09662.27512.27253.31262.74443.79973.88671.77852.47432.96553.69992.74993.33954.24722.77653.8212
H112.18352.18351.09762.70962.14973.12023.06352.47433.06352.47433.75973.06962.57742.50532.50533.86403.8640
H122.24522.24523.07851.09684.21582.15152.44872.96552.44872.96553.75974.10603.07564.91674.91672.50332.5033
H132.87452.87452.16783.67931.09755.00872.58153.69992.58153.69993.06964.10605.06701.77201.77205.65885.6588
H142.78262.78262.95512.17824.45521.09743.83452.74993.83452.74992.57743.07565.06704.89954.89951.77051.7705
H153.56982.98582.17354.18871.09725.17183.78634.24723.03253.33952.50534.91671.77204.89951.77195.73216.0000
H162.98583.56982.17354.18871.09725.17183.03253.33953.78634.24722.50534.91671.77204.89951.77196.00005.7321
H173.52652.93343.85282.17425.32041.09704.33683.82123.69642.77653.86402.50335.65881.77055.73216.00001.7734
H182.93343.52653.85282.17425.32041.09703.69642.77654.33683.82123.86402.50335.65881.77056.00005.73211.7734

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 88.354 C1 C3 C5 118.778
C1 C3 H11 109.940 C1 C4 C2 88.186
C1 C4 C6 114.285 C1 C4 H12 114.796
C2 C3 C5 118.778 C2 C3 H11 109.940
C2 C4 C6 114.285 C2 C4 H12 114.796
C3 C1 C4 89.336 C3 C1 H7 111.544
C3 C1 H8 117.523 C3 C2 C4 89.336
C3 C2 H9 111.544 C3 C2 H10 117.523
C3 C5 H13 110.881 C3 C5 H15 111.357
C3 C5 H16 111.357 C4 C1 H7 112.020
C4 C1 H8 117.118 C4 C2 H9 112.020
C4 C2 H10 117.118 C4 C6 H14 111.410
C4 C6 H17 111.120 C4 C6 H18 111.120
C5 C3 H11 109.444 C6 C4 H12 109.339
H7 C1 H8 108.357 H9 C2 H10 108.357
H13 C5 H15 107.689 H13 C5 H16 107.689
H14 C6 H17 107.575 H14 C6 H18 107.575
H15 C5 H16 107.693 H17 C6 H18 107.862
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.322      
2 C -0.322      
3 C -0.115      
4 C -0.132      
5 C -0.515      
6 C -0.512      
7 H 0.157      
8 H 0.156      
9 H 0.157      
10 H 0.156      
11 H 0.155      
12 H 0.151      
13 H 0.159      
14 H 0.163      
15 H 0.166      
16 H 0.166      
17 H 0.166      
18 H 0.166      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.020 -0.001 0.000 0.020
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.914 0.358 0.000
y 0.358 -39.909 0.000
z 0.000 0.000 -39.660
Traceless
 xyz
x 0.871 0.358 0.000
y 0.358 -0.622 0.000
z 0.000 0.000 -0.249
Polar
3z2-r2-0.498
x2-y20.996
xy0.358
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.499 -0.560 0.000
y -0.560 10.092 0.000
z 0.000 0.000 8.818


<r2> (average value of r2) Å2
<r2> 191.954
(<r2>)1/2 13.855