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

using model chemistry: HF/3-21G*

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 HF/3-21G*
Rotational Constants (cm-1) from geometry optimized at HF/3-21G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HF/3-21G*
 hartrees
Energy at 0K-232.875560
Energy at 298.15K-232.889339
HF Energy-232.875560
Nuclear repulsion energy249.198542
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 HF/3-21G*
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' 3288 2968 85.05      
2 A' 3263 2945 38.89      
3 A' 3252 2935 40.51      
4 A' 3240 2925 5.03      
5 A' 3230 2915 4.23      
6 A' 3226 2912 2.52      
7 A' 3186 2876 29.23      
8 A' 3183 2873 29.56      
9 A' 1669 1507 12.61      
10 A' 1667 1505 2.65      
11 A' 1649 1488 0.68      
12 A' 1575 1421 12.18      
13 A' 1572 1418 0.91      
14 A' 1497 1352 0.15      
15 A' 1479 1335 5.88      
16 A' 1411 1273 5.62      
17 A' 1369 1236 0.19      
18 A' 1303 1176 0.86      
19 A' 1167 1053 0.11      
20 A' 1110 1002 0.55      
21 A' 1060 957 2.16      
22 A' 1019 919 1.34      
23 A' 919 829 1.75      
24 A' 833 752 1.98      
25 A' 705 637 1.42      
26 A' 464 419 0.24      
27 A' 342 309 0.10      
28 A' 98 88 0.01      
29 A" 3279 2960 9.98      
30 A" 3240 2925 40.36      
31 A" 3237 2922 34.73      
32 A" 3224 2910 49.97      
33 A" 1670 1507 2.92      
34 A" 1668 1506 1.33      
35 A" 1630 1472 5.70      
36 A" 1411 1274 0.19      
37 A" 1410 1273 0.00      
38 A" 1352 1220 0.20      
39 A" 1259 1136 1.38      
40 A" 1237 1117 0.19      
41 A" 1111 1003 6.16      
42 A" 947 855 0.14      
43 A" 933 843 0.40      
44 A" 875 790 0.07      
45 A" 416 376 0.01      
46 A" 291 262 0.32      
47 A" 268 242 0.02      
48 A" 245 221 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 39239.9 cm-1
Scaled (by 0.9026) Zero Point Vibrational Energy (zpe) 35418.0 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 HF/3-21G*
ABC
0.25765 0.07719 0.07014

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.243 0.076 1.095
C2 0.243 0.076 -1.095
C3 -0.680 0.714 0.000
C4 0.862 -0.859 0.000
C5 -0.814 2.234 0.000
C6 0.243 -2.258 0.000
H7 0.961 0.795 1.467
H8 -0.247 -0.416 1.924
H9 0.961 0.795 -1.467
H10 -0.247 -0.416 -1.924
H11 -1.656 0.246 0.000
H12 1.941 -0.919 0.000
H13 0.165 2.700 0.000
H14 -0.841 -2.198 0.000
H15 -1.353 2.576 -0.879
H16 -1.353 2.576 0.879
H17 0.549 -2.816 -0.879
H18 0.549 -2.816 0.879

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18971.56761.56752.64032.57811.08301.08152.75673.09782.19802.25262.84442.74623.56202.97313.51482.9161
C22.18971.56761.56752.64032.57812.75673.09781.08301.08152.19802.25262.84442.74622.97313.56202.91613.5148
C31.56761.56762.20311.52543.11222.20322.27322.20322.27321.08223.08862.15852.91612.16552.16553.84003.8400
C41.56751.56752.20313.51791.52982.21392.26472.21392.26472.74951.08103.62692.16584.18024.18022.16782.1678
C52.64032.64031.52543.51794.61432.71553.32342.71553.32342.15854.18721.08524.43121.08571.08575.30375.3037
C62.57812.57813.11221.52984.61433.46332.70833.46332.70833.14212.16304.95881.08515.16545.16541.08551.0855
H71.08302.75672.20322.21392.71553.46331.77092.93493.79883.05022.46042.53263.78933.74522.97794.32653.6821
H81.08153.09782.27322.26473.32342.70831.77093.79883.84832.47482.95713.68552.68864.24613.35643.77522.7359
H92.75671.08302.20322.21392.71553.46332.93493.79881.77093.05022.46042.53263.78932.97793.74523.68214.3265
H103.09781.08152.27322.26473.32342.70833.79883.84831.77092.47482.95713.68552.68863.35644.24612.73593.7752
H112.19802.19801.08222.74952.15853.14213.05022.47483.05022.47483.78093.05622.57562.50852.50853.87413.8741
H122.25262.25263.08861.08104.18722.16302.46042.95712.46042.95713.78094.03143.06184.88204.88202.51172.5117
H132.84442.84442.15853.62691.08524.95882.53263.68552.53263.68553.05624.03144.99991.75831.75835.59885.5988
H142.74622.74622.91612.16584.43121.08513.78932.68863.78932.68862.57563.06184.99994.88034.88031.75731.7573
H153.56202.97312.16554.18021.08575.16543.74524.24612.97793.35642.50854.88201.75834.88031.75765.71715.9813
H162.97313.56202.16554.18021.08575.16542.97793.35643.74524.24612.50854.88201.75834.88031.75765.98135.7171
H173.51482.91613.84002.16785.30371.08554.32653.77523.68212.73593.87412.51175.59881.75735.71715.98131.7585
H182.91613.51483.84002.16785.30371.08553.68212.73594.32653.77523.87412.51175.59881.75735.98135.71711.7585

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 88.601 C1 C3 C5 117.213
C1 C3 H11 110.760 C1 C4 C2 88.612
C1 C4 C6 112.680 C1 C4 H12 115.311
C2 C3 C5 117.213 C2 C3 H11 110.760
C2 C4 C6 112.680 C2 C4 H12 115.311
C3 C1 C4 89.291 C3 C1 H7 111.124
C3 C1 H8 117.018 C3 C2 C4 89.291
C3 C2 H9 111.124 C3 C2 H10 117.018
C3 C5 H13 110.413 C3 C5 H15 110.945
C3 C5 H16 110.945 C4 C1 H7 111.997
C4 C1 H8 116.298 C4 C2 H9 111.997
C4 C2 H10 116.298 C4 C6 H14 110.684
C4 C6 H17 110.821 C4 C6 H18 110.821
C5 C3 H11 110.599 C6 C4 H12 110.712
H7 C1 H8 109.808 H9 C2 H10 109.808
H13 C5 H15 108.178 H13 C5 H16 108.178
H14 C6 H17 108.110 H14 C6 H18 108.110
H15 C5 H16 108.077 H17 C6 H18 108.191
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.364      
2 C -0.364      
3 C -0.286      
4 C -0.308      
5 C -0.564      
6 C -0.550      
7 H 0.211      
8 H 0.202      
9 H 0.211      
10 H 0.202      
11 H 0.219      
12 H 0.209      
13 H 0.193      
14 H 0.196      
15 H 0.199      
16 H 0.199      
17 H 0.198      
18 H 0.198      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.013 0.009 0.000 0.016
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.168 0.416 0.000
y 0.416 -41.123 0.000
z 0.000 0.000 -40.893
Traceless
 xyz
x 0.840 0.416 0.000
y 0.416 -0.592 0.000
z 0.000 0.000 -0.248
Polar
3z2-r2-0.495
x2-y20.955
xy0.416
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.868 -0.548 0.000
y -0.548 9.236 0.000
z 0.000 0.000 8.221


<r2> (average value of r2) Å2
<r2> 192.221
(<r2>)1/2 13.864